9.249 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.018 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.019 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.034 * [taylor]: Taking taylor expansion of re in im 0.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.034 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.035 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.035 * [taylor]: Taking taylor expansion of re in re 0.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.035 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of im in im 0.035 * [taylor]: Taking taylor expansion of 0 in im 0.035 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.035 * [taylor]: Taking taylor expansion of 1/2 in im 0.035 * [taylor]: Taking taylor expansion of im in im 0.035 * [taylor]: Taking taylor expansion of 0 in im 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.036 * [taylor]: Taking taylor expansion of re in im 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.036 * [taylor]: Taking taylor expansion of im in re 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.036 * [taylor]: Taking taylor expansion of re in re 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.036 * [taylor]: Taking taylor expansion of im in re 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.036 * [taylor]: Taking taylor expansion of re in re 0.037 * [taylor]: Taking taylor expansion of 1 in im 0.037 * [taylor]: Taking taylor expansion of 0 in im 0.037 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.037 * [taylor]: Taking taylor expansion of 1/2 in im 0.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.037 * [taylor]: Taking taylor expansion of im in im 0.037 * [taylor]: Taking taylor expansion of 0 in im 0.038 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.038 * [taylor]: Taking taylor expansion of im in im 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.038 * [taylor]: Taking taylor expansion of re in im 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.038 * [taylor]: Taking taylor expansion of im in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.038 * [taylor]: Taking taylor expansion of re in re 0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.038 * [taylor]: Taking taylor expansion of im in re 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.038 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.038 * [taylor]: Taking taylor expansion of re in re 0.039 * [taylor]: Taking taylor expansion of 1 in im 0.039 * [taylor]: Taking taylor expansion of 0 in im 0.039 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.039 * [taylor]: Taking taylor expansion of 1/2 in im 0.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.039 * [taylor]: Taking taylor expansion of 0 in im 0.040 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.040 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.040 * [taylor]: Taking taylor expansion of re in im 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.040 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.040 * [taylor]: Taking taylor expansion of re in re 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.040 * [taylor]: Taking taylor expansion of im in re 0.040 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.040 * [taylor]: Taking taylor expansion of re in re 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.040 * [taylor]: Taking taylor expansion of im in re 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.040 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.040 * [taylor]: Taking taylor expansion of 1 in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.041 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.041 * [taylor]: Taking taylor expansion of re in im 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of 1 in im 0.041 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.042 * [taylor]: Taking taylor expansion of im in im 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.043 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.043 * [taylor]: Taking taylor expansion of im in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.043 * [taylor]: Taking taylor expansion of re in re 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.043 * [taylor]: Taking taylor expansion of im in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.043 * [taylor]: Taking taylor expansion of re in re 0.043 * [taylor]: Taking taylor expansion of 1 in im 0.043 * [taylor]: Taking taylor expansion of 0 in im 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.044 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of 0 in im 0.044 * [taylor]: Taking taylor expansion of 0 in im 0.045 * * * [progress]: simplifying candidates 0.045 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.048 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.051 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.057 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.089 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.091 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (neg (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.091 * * * [progress]: adding candidates to table 0.129 * * [progress]: iteration 2 / 4 0.129 * * * [progress]: picking best candidate 0.137 * * * * [pick]: Picked # 0.137 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.150 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.155 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.159 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.159 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.159 * [taylor]: Taking taylor expansion of re in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [taylor]: Taking taylor expansion of im in im 0.160 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.161 * [taylor]: Taking taylor expansion of 1/2 in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of 0 in im 0.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.161 * [taylor]: Taking taylor expansion of im in im 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.161 * [taylor]: Taking taylor expansion of re in im 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [taylor]: Taking taylor expansion of 1 in im 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.162 * [taylor]: Taking taylor expansion of 1/2 in im 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.162 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.163 * [taylor]: Taking taylor expansion of im in im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.163 * [taylor]: Taking taylor expansion of re in im 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of 1 in im 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of 1/2 in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.165 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.165 * [taylor]: Taking taylor expansion of re in im 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.166 * [taylor]: Taking taylor expansion of 1/2 in im 0.166 * [taylor]: Taking taylor expansion of im in im 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.167 * [taylor]: Taking taylor expansion of re in im 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.168 * [taylor]: Taking taylor expansion of re in re 0.168 * [taylor]: Taking taylor expansion of 1 in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of 1/2 in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.170 * [taylor]: Taking taylor expansion of im in re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [taylor]: Taking taylor expansion of 1 in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.170 * [taylor]: Taking taylor expansion of 1/2 in im 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.170 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.171 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [taylor]: Taking taylor expansion of 1 in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.172 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [taylor]: Taking taylor expansion of 1 in im 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [taylor]: Taking taylor expansion of 1 in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.178 * * * [progress]: simplifying candidates 0.178 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.182 * * [simplify]: iteration 0 : 172 enodes (cost 330 ) 0.185 * * [simplify]: iteration 1 : 601 enodes (cost 313 ) 0.193 * * [simplify]: iteration 2 : 1676 enodes (cost 304 ) 0.225 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 0.227 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (neg (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) im re (* -1 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.228 * * * [progress]: adding candidates to table 0.285 * * [progress]: iteration 3 / 4 0.285 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.317 * * * [progress]: generating rewritten candidates 0.317 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.321 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 0.324 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.328 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.334 * * * [progress]: generating series expansions 0.334 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.334 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.334 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.334 * [taylor]: Taking taylor expansion of re in im 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.334 * [taylor]: Taking taylor expansion of im in im 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.335 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [taylor]: Taking taylor expansion of 0 in im 0.335 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.335 * [taylor]: Taking taylor expansion of 1/2 in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [taylor]: Taking taylor expansion of 0 in im 0.336 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.336 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.336 * [taylor]: Taking taylor expansion of re in im 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.336 * [taylor]: Taking taylor expansion of im in re 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.336 * [taylor]: Taking taylor expansion of re in re 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.336 * [taylor]: Taking taylor expansion of im in re 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.336 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.336 * [taylor]: Taking taylor expansion of re in re 0.337 * [taylor]: Taking taylor expansion of 1 in im 0.337 * [taylor]: Taking taylor expansion of 0 in im 0.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of 1/2 in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of 0 in im 0.338 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.338 * [taylor]: Taking taylor expansion of im in im 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.338 * [taylor]: Taking taylor expansion of re in im 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.338 * [taylor]: Taking taylor expansion of im in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.339 * [taylor]: Taking taylor expansion of 1 in im 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.339 * [taylor]: Taking taylor expansion of 1/2 in im 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.339 * [taylor]: Taking taylor expansion of im in im 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.340 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.340 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.340 * [taylor]: Taking taylor expansion of re in im 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.340 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.340 * [taylor]: Taking taylor expansion of re in re 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.340 * [taylor]: Taking taylor expansion of im in re 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.340 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.340 * [taylor]: Taking taylor expansion of re in re 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.340 * [taylor]: Taking taylor expansion of im in re 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.341 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.341 * [taylor]: Taking taylor expansion of 1/2 in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.341 * [taylor]: Taking taylor expansion of re in im 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.342 * [taylor]: Taking taylor expansion of im in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.342 * [taylor]: Taking taylor expansion of im in re 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.342 * [taylor]: Taking taylor expansion of re in re 0.342 * [taylor]: Taking taylor expansion of 1 in im 0.342 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.343 * [taylor]: Taking taylor expansion of 1/2 in im 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.344 * [taylor]: Taking taylor expansion of im in re 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.344 * [taylor]: Taking taylor expansion of re in re 0.344 * [taylor]: Taking taylor expansion of 1 in im 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.345 * [taylor]: Taking taylor expansion of 1/2 in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.345 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.345 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.345 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.345 * [taylor]: Taking taylor expansion of re in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.346 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.346 * [taylor]: Taking taylor expansion of im in re 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.346 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.346 * [taylor]: Taking taylor expansion of im in re 0.346 * [taylor]: Taking taylor expansion of im in im 0.346 * [taylor]: Taking taylor expansion of 0 in im 0.347 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.347 * [taylor]: Taking taylor expansion of 1/2 in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of 0 in im 0.347 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.348 * [taylor]: Taking taylor expansion of im in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.348 * [taylor]: Taking taylor expansion of im in re 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.348 * [taylor]: Taking taylor expansion of re in re 0.348 * [taylor]: Taking taylor expansion of 1 in im 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.348 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.348 * [taylor]: Taking taylor expansion of 1/2 in im 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.348 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.349 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.349 * [taylor]: Taking taylor expansion of re in im 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [taylor]: Taking taylor expansion of 1 in im 0.350 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.350 * [taylor]: Taking taylor expansion of 1/2 in im 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.351 * [taylor]: Taking taylor expansion of 0 in im 0.351 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.351 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3)) in (re im) around 0 0.351 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3)) in im 0.351 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))))) in im 0.351 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)))) in im 0.352 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in im 0.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.352 * [taylor]: Taking taylor expansion of 1/3 in im 0.352 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow re 2) (pow im 2))))) in im 0.352 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.352 * [taylor]: Taking taylor expansion of re in im 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))) in im 0.352 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) in im 0.352 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3) in im 0.352 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)))) in im 0.352 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2))) in im 0.352 * [taylor]: Taking taylor expansion of 1/3 in im 0.352 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)) in im 0.352 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) in im 0.352 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.352 * [taylor]: Taking taylor expansion of re in im 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.352 * [taylor]: Taking taylor expansion of im in im 0.353 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3)) in re 0.353 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))))) in re 0.353 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)))) in re 0.353 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in re 0.353 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.353 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.353 * [taylor]: Taking taylor expansion of 1/3 in re 0.353 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow re 2) (pow im 2))))) in re 0.353 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.353 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))) in re 0.354 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) in re 0.354 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3) in re 0.354 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)))) in re 0.354 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2))) in re 0.354 * [taylor]: Taking taylor expansion of 1/3 in re 0.354 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) in re 0.354 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.354 * [taylor]: Taking taylor expansion of im in re 0.354 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3)) in re 0.354 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))))) in re 0.355 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)))) in re 0.355 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in re 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.355 * [taylor]: Taking taylor expansion of 1/3 in re 0.355 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow re 2) (pow im 2))))) in re 0.355 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.355 * [taylor]: Taking taylor expansion of re in re 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.355 * [taylor]: Taking taylor expansion of im in re 0.355 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))) in re 0.355 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) in re 0.355 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3) in re 0.355 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)))) in re 0.355 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2))) in re 0.355 * [taylor]: Taking taylor expansion of 1/3 in re 0.355 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)) in re 0.355 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) in re 0.355 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.355 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.355 * [taylor]: Taking taylor expansion of re in re 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.355 * [taylor]: Taking taylor expansion of im in re 0.356 * [taylor]: Taking taylor expansion of im in im 0.357 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.361 * [taylor]: Taking taylor expansion of 1/2 in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.366 * [taylor]: Taking taylor expansion of 0 in im 0.366 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in (re im) around 0 0.366 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in im 0.366 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))))) in im 0.366 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)))) in im 0.366 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in im 0.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.366 * [taylor]: Taking taylor expansion of 1/3 in im 0.366 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.366 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in im 0.367 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in im 0.367 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in im 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in im 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in im 0.367 * [taylor]: Taking taylor expansion of 1/3 in im 0.367 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in im 0.367 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.368 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in re 0.368 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))))) in re 0.368 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)))) in re 0.368 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.368 * [taylor]: Taking taylor expansion of 1/3 in re 0.368 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.368 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.369 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.369 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.369 * [taylor]: Taking taylor expansion of 1/3 in re 0.369 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.369 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.370 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in re 0.370 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))))) in re 0.370 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)))) in re 0.370 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.370 * [taylor]: Taking taylor expansion of 1/3 in re 0.370 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.370 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.371 * [taylor]: Taking taylor expansion of re in re 0.371 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.371 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.371 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.371 * [taylor]: Taking taylor expansion of 1/3 in re 0.371 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.371 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.371 * [taylor]: Taking taylor expansion of im in re 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.371 * [taylor]: Taking taylor expansion of re in re 0.372 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.372 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.372 * [taylor]: Taking taylor expansion of (log 1) in im 0.372 * [taylor]: Taking taylor expansion of 1 in im 0.372 * [taylor]: Taking taylor expansion of (log re) in im 0.372 * [taylor]: Taking taylor expansion of re in im 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.383 * [taylor]: Taking taylor expansion of (* (exp (- (log 1) (log re))) (- (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re))))))) in im 0.383 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.383 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.383 * [taylor]: Taking taylor expansion of (log 1) in im 0.383 * [taylor]: Taking taylor expansion of 1 in im 0.383 * [taylor]: Taking taylor expansion of (log re) in im 0.383 * [taylor]: Taking taylor expansion of re in im 0.384 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re)))))) in im 0.384 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) in im 0.384 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow im 2))) in im 0.384 * [taylor]: Taking taylor expansion of 1/6 in im 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2)))) in im 0.384 * [taylor]: Taking taylor expansion of 1/3 in im 0.384 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log re)) (pow im 2))) in im 0.384 * [taylor]: Taking taylor expansion of (log 1) in im 0.384 * [taylor]: Taking taylor expansion of 1 in im 0.384 * [taylor]: Taking taylor expansion of (* (- (log 1) (log re)) (pow im 2)) in im 0.384 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.384 * [taylor]: Taking taylor expansion of (log 1) in im 0.384 * [taylor]: Taking taylor expansion of 1 in im 0.384 * [taylor]: Taking taylor expansion of (log re) in im 0.384 * [taylor]: Taking taylor expansion of re in im 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re))))) in im 0.384 * [taylor]: Taking taylor expansion of 1/3 in im 0.384 * [taylor]: Taking taylor expansion of (/ (log re) (* (pow im 2) (- (log 1) (log re)))) in im 0.384 * [taylor]: Taking taylor expansion of (log re) in im 0.384 * [taylor]: Taking taylor expansion of re in im 0.384 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (log 1) (log re))) in im 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.384 * [taylor]: Taking taylor expansion of (log 1) in im 0.384 * [taylor]: Taking taylor expansion of 1 in im 0.384 * [taylor]: Taking taylor expansion of (log re) in im 0.384 * [taylor]: Taking taylor expansion of re in im 0.397 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [approximate]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in (re im) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in im 0.397 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))))) in im 0.397 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)))) in im 0.397 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in im 0.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.397 * [taylor]: Taking taylor expansion of 1/3 in im 0.397 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.397 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in im 0.398 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in im 0.398 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in im 0.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in im 0.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in im 0.398 * [taylor]: Taking taylor expansion of 1/3 in im 0.398 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in im 0.398 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in im 0.398 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.398 * [taylor]: Taking taylor expansion of im in im 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.398 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.399 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in re 0.399 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))))) in re 0.399 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)))) in re 0.399 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.399 * [taylor]: Taking taylor expansion of 1/3 in re 0.399 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.399 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.399 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.399 * [taylor]: Taking taylor expansion of im in re 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.400 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.400 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.400 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.400 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.400 * [taylor]: Taking taylor expansion of 1/3 in re 0.400 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.400 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.400 * [taylor]: Taking taylor expansion of im in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.400 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.401 * [taylor]: Taking taylor expansion of (pow (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3)) in re 0.401 * [taylor]: Taking taylor expansion of (exp (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))))) in re 0.401 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)))) in re 0.401 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.401 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.401 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.401 * [taylor]: Taking taylor expansion of 1/3 in re 0.401 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.401 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.402 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.402 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.402 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.402 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.402 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.402 * [taylor]: Taking taylor expansion of 1/3 in re 0.402 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.402 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.402 * [taylor]: Taking taylor expansion of re in re 0.403 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.403 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.403 * [taylor]: Taking taylor expansion of (log 1) in im 0.403 * [taylor]: Taking taylor expansion of 1 in im 0.403 * [taylor]: Taking taylor expansion of (log re) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.405 * [taylor]: Taking taylor expansion of 0 in im 0.412 * [taylor]: Taking taylor expansion of (* (exp (- (log 1) (log re))) (- (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re))))))) in im 0.412 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.412 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.412 * [taylor]: Taking taylor expansion of (log 1) in im 0.412 * [taylor]: Taking taylor expansion of 1 in im 0.412 * [taylor]: Taking taylor expansion of (log re) in im 0.412 * [taylor]: Taking taylor expansion of re in im 0.412 * [taylor]: Taking taylor expansion of (- (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re)))))) in im 0.412 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) in im 0.412 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow im 2))) in im 0.412 * [taylor]: Taking taylor expansion of 1/6 in im 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.412 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2)))) in im 0.413 * [taylor]: Taking taylor expansion of 1/3 in im 0.413 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log re)) (pow im 2))) in im 0.413 * [taylor]: Taking taylor expansion of (log 1) in im 0.413 * [taylor]: Taking taylor expansion of 1 in im 0.413 * [taylor]: Taking taylor expansion of (* (- (log 1) (log re)) (pow im 2)) in im 0.413 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.413 * [taylor]: Taking taylor expansion of (log 1) in im 0.413 * [taylor]: Taking taylor expansion of 1 in im 0.413 * [taylor]: Taking taylor expansion of (log re) in im 0.413 * [taylor]: Taking taylor expansion of re in im 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re))))) in im 0.413 * [taylor]: Taking taylor expansion of 1/3 in im 0.413 * [taylor]: Taking taylor expansion of (/ (log re) (* (pow im 2) (- (log 1) (log re)))) in im 0.413 * [taylor]: Taking taylor expansion of (log re) in im 0.413 * [taylor]: Taking taylor expansion of re in im 0.413 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (log 1) (log re))) in im 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.413 * [taylor]: Taking taylor expansion of (log 1) in im 0.413 * [taylor]: Taking taylor expansion of 1 in im 0.413 * [taylor]: Taking taylor expansion of (log re) in im 0.413 * [taylor]: Taking taylor expansion of re in im 0.425 * [taylor]: Taking taylor expansion of 0 in im 0.425 * * * [progress]: simplifying candidates 0.426 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (* (log (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (* 1 (cbrt (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1/2)) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1)) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (/ 1 2))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1)) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (* (cbrt (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) 1) (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (cbrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow 1 (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (log (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (* (* (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (log (sqrt (+ (* re re) (* im im))))) 2)) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (log (sqrt (+ (* re re) (* im im))))) 2)) im re (* -1 re) im re (* -1 re) im re (* -1 re) im (exp (- (log 1) (log (/ 1 re)))) (exp (- (log 1) (log (/ -1 re)))) 0.431 * * [simplify]: iteration 0 : 197 enodes (cost 929 ) 0.434 * * [simplify]: iteration 1 : 514 enodes (cost 856 ) 0.442 * * [simplify]: iteration 2 : 1563 enodes (cost 841 ) 0.472 * * [simplify]: iteration 3 : 5001 enodes (cost 837 ) 0.476 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (log (sqrt (+ (* re re) (* im im))))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1/2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt 1/2)) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (log (sqrt (+ (* re re) (* im im))))))) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (* (cbrt (cbrt (log (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (* (cbrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (cbrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (pow (sqrt (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) 1 (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) (log (sqrt (+ (* re re) (* im im)))) (exp (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (* (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))))) (cbrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im)))))) 3) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (sqrt (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (log (sqrt (+ (* re re) (* im im))))) 2)) (pow (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (log (sqrt (+ (* re re) (* im im))))) 2)) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.476 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 4 / 4 0.569 * * * [progress]: picking best candidate 0.584 * * * * [pick]: Picked # 0.584 * * * [progress]: localizing error 0.612 * * * [progress]: generating rewritten candidates 0.612 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.616 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1 1 1) 0.619 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.623 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.628 * * * [progress]: generating series expansions 0.628 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.628 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.628 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.628 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.628 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.629 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.629 * [taylor]: Taking taylor expansion of im in re 0.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.629 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.629 * [taylor]: Taking taylor expansion of im in re 0.629 * [taylor]: Taking taylor expansion of im in im 0.629 * [taylor]: Taking taylor expansion of 0 in im 0.629 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.629 * [taylor]: Taking taylor expansion of 1/2 in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.630 * [taylor]: Taking taylor expansion of 0 in im 0.630 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.630 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.630 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.630 * [taylor]: Taking taylor expansion of re in im 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.630 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.630 * [taylor]: Taking taylor expansion of re in re 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.631 * [taylor]: Taking taylor expansion of im in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [taylor]: Taking taylor expansion of 1 in im 0.631 * [taylor]: Taking taylor expansion of 0 in im 0.631 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.631 * [taylor]: Taking taylor expansion of 1/2 in im 0.631 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.631 * [taylor]: Taking taylor expansion of im in im 0.632 * [taylor]: Taking taylor expansion of 0 in im 0.634 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.634 * [taylor]: Taking taylor expansion of im in im 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.634 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.634 * [taylor]: Taking taylor expansion of re in im 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.634 * [taylor]: Taking taylor expansion of re in re 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.634 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.634 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.634 * [taylor]: Taking taylor expansion of im in re 0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.635 * [taylor]: Taking taylor expansion of re in re 0.635 * [taylor]: Taking taylor expansion of 1 in im 0.635 * [taylor]: Taking taylor expansion of 0 in im 0.635 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.635 * [taylor]: Taking taylor expansion of 1/2 in im 0.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of 0 in im 0.636 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1 1 1) 0.636 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.636 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.636 * [taylor]: Taking taylor expansion of re in im 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.636 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.636 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.636 * [taylor]: Taking taylor expansion of re in re 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.636 * [taylor]: Taking taylor expansion of im in re 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.637 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.637 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.637 * [taylor]: Taking taylor expansion of re in re 0.637 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.637 * [taylor]: Taking taylor expansion of im in re 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.637 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.637 * [taylor]: Taking taylor expansion of 1/2 in im 0.637 * [taylor]: Taking taylor expansion of im in im 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.637 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.638 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.638 * [taylor]: Taking taylor expansion of re in im 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.638 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.638 * [taylor]: Taking taylor expansion of im in re 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.638 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.638 * [taylor]: Taking taylor expansion of re in re 0.638 * [taylor]: Taking taylor expansion of 1 in im 0.638 * [taylor]: Taking taylor expansion of 0 in im 0.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.639 * [taylor]: Taking taylor expansion of 1/2 in im 0.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.639 * [taylor]: Taking taylor expansion of im in im 0.639 * [taylor]: Taking taylor expansion of 0 in im 0.640 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.640 * [taylor]: Taking taylor expansion of im in im 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.640 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.640 * [taylor]: Taking taylor expansion of re in im 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.640 * [taylor]: Taking taylor expansion of im in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.640 * [taylor]: Taking taylor expansion of im in re 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [taylor]: Taking taylor expansion of 1 in im 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.641 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.641 * [taylor]: Taking taylor expansion of 1/2 in im 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.641 * [taylor]: Taking taylor expansion of im in im 0.641 * [taylor]: Taking taylor expansion of 0 in im 0.641 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 0.642 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.642 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.642 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.642 * [taylor]: Taking taylor expansion of re in im 0.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.642 * [taylor]: Taking taylor expansion of im in im 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.642 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.642 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.642 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.642 * [taylor]: Taking taylor expansion of im in re 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.642 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.642 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.642 * [taylor]: Taking taylor expansion of re in re 0.642 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.642 * [taylor]: Taking taylor expansion of im in re 0.642 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.643 * [taylor]: Taking taylor expansion of 1/2 in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of 0 in im 0.643 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.643 * [taylor]: Taking taylor expansion of im in im 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.643 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.643 * [taylor]: Taking taylor expansion of re in im 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [taylor]: Taking taylor expansion of 1 in im 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.644 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.644 * [taylor]: Taking taylor expansion of 1/2 in im 0.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.644 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.645 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.645 * [taylor]: Taking taylor expansion of re in im 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.646 * [taylor]: Taking taylor expansion of im in re 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.646 * [taylor]: Taking taylor expansion of re in re 0.646 * [taylor]: Taking taylor expansion of 1 in im 0.646 * [taylor]: Taking taylor expansion of 0 in im 0.646 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.646 * [taylor]: Taking taylor expansion of 1/2 in im 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.647 * [taylor]: Taking taylor expansion of 0 in im 0.647 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) 0.647 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.647 * [taylor]: Taking taylor expansion of re in im 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.648 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.648 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.648 * [taylor]: Taking taylor expansion of re in re 0.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.648 * [taylor]: Taking taylor expansion of im in re 0.648 * [taylor]: Taking taylor expansion of im in im 0.648 * [taylor]: Taking taylor expansion of 0 in im 0.648 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.648 * [taylor]: Taking taylor expansion of 1/2 in im 0.648 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.649 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.649 * [taylor]: Taking taylor expansion of re in im 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.649 * [taylor]: Taking taylor expansion of im in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.649 * [taylor]: Taking taylor expansion of re in re 0.649 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.650 * [taylor]: Taking taylor expansion of im in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [taylor]: Taking taylor expansion of 1 in im 0.650 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.650 * [taylor]: Taking taylor expansion of 1/2 in im 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.650 * [taylor]: Taking taylor expansion of im in im 0.651 * [taylor]: Taking taylor expansion of 0 in im 0.651 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.651 * [taylor]: Taking taylor expansion of re in im 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.652 * [taylor]: Taking taylor expansion of im in re 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.652 * [taylor]: Taking taylor expansion of re in re 0.652 * [taylor]: Taking taylor expansion of 1 in im 0.652 * [taylor]: Taking taylor expansion of 0 in im 0.652 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.652 * [taylor]: Taking taylor expansion of 1/2 in im 0.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.652 * [taylor]: Taking taylor expansion of im in im 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.653 * * * [progress]: simplifying candidates 0.654 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.657 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 0.659 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 0.663 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 0.672 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 0.708 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 0.832 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 0.836 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.836 * * * [progress]: adding candidates to table 1.004 * [progress]: [Phase 3 of 3] Extracting. 1.004 * * [regime]: Finding splitpoints for: (# # # # # # #) 1.005 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 1.005 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 1.051 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 1.093 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # #) 1.140 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 1.176 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # #) 1.228 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 1.256 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # #) 1.310 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 1.343 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 1.394 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 1.451 * * * [regime]: Found split indices: #