10.774 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.019 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.020 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.020 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.036 * [taylor]: Taking taylor expansion of im in re 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.037 * [taylor]: Taking taylor expansion of re in re 0.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.037 * [taylor]: Taking taylor expansion of im in re 0.037 * [taylor]: Taking taylor expansion of im in im 0.037 * [taylor]: Taking taylor expansion of 0 in im 0.037 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.037 * [taylor]: Taking taylor expansion of 1/2 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 0.038 * [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 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.041 * [taylor]: Taking taylor expansion of 1 in im 0.041 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.041 * [taylor]: Taking taylor expansion of 1/2 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 0 in im 0.042 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.042 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.042 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.042 * [taylor]: Taking taylor expansion of re 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 (+ (pow re 2) (pow im 2)) in re 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.042 * [taylor]: Taking taylor expansion of re in re 0.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.042 * [taylor]: Taking taylor expansion of im in re 0.042 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.042 * [taylor]: Taking taylor expansion of re in re 0.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.042 * [taylor]: Taking taylor expansion of im in re 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 1 in im 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.043 * [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 0.044 * [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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.045 * [taylor]: Taking taylor expansion of re in im 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.045 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.045 * [taylor]: Taking taylor expansion of re in re 0.045 * [taylor]: Taking taylor expansion of 1 in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.047 * * * [progress]: simplifying candidates 0.047 * [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)) 0.050 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.053 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.060 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.093 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.095 * [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)) 0.095 * * * [progress]: adding candidates to table 0.134 * * [progress]: iteration 2 / 4 0.134 * * * [progress]: picking best candidate 0.143 * * * * [pick]: Picked # 0.143 * * * [progress]: localizing error 0.153 * * * [progress]: generating rewritten candidates 0.153 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.156 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.162 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.166 * * * [progress]: generating series expansions 0.166 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.166 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.166 * [taylor]: Taking taylor expansion of re in im 0.166 * [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 (sqrt (+ (pow re 2) (pow im 2))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.167 * [taylor]: Taking taylor expansion of im in re 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.168 * [taylor]: Taking taylor expansion of 1/2 in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.168 * [taylor]: Taking taylor expansion of re in im 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.168 * [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 0.169 * [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 1 in im 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.169 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of 1/2 in im 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.169 * [taylor]: Taking taylor expansion of im in im 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [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 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 1 in im 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of 1/2 in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.172 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.172 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.172 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.173 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [taylor]: Taking taylor expansion of im in im 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.173 * [taylor]: Taking taylor expansion of 1/2 in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.174 * [taylor]: Taking taylor expansion of 0 in im 0.174 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 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 0.174 * [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 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [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 0.175 * [taylor]: Taking taylor expansion of 0 in im 0.175 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.175 * [taylor]: Taking taylor expansion of 1/2 in im 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.176 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.176 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [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 (/ 1/2 (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of 1/2 in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of 0 in im 0.178 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.178 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [taylor]: Taking taylor expansion of 1 in im 0.181 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [taylor]: Taking taylor expansion of 0 in im 0.181 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.181 * [taylor]: Taking taylor expansion of re in im 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.182 * [taylor]: Taking taylor expansion of im in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of 1 in im 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.182 * [taylor]: Taking taylor expansion of im in im 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.183 * [taylor]: Taking taylor expansion of re in im 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [taylor]: Taking taylor expansion of 1 in im 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.184 * [taylor]: Taking taylor expansion of im in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.185 * * * [progress]: simplifying candidates 0.186 * [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)) 0.189 * * [simplify]: iteration 0 : 172 enodes (cost 330 ) 0.192 * * [simplify]: iteration 1 : 601 enodes (cost 313 ) 0.200 * * [simplify]: iteration 2 : 1676 enodes (cost 304 ) 0.235 * * [simplify]: iteration 3 : 5001 enodes (cost 296 ) 0.237 * [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)) 0.237 * * * [progress]: adding candidates to table 0.298 * * [progress]: iteration 3 / 4 0.299 * * * [progress]: picking best candidate 0.314 * * * * [pick]: Picked # 0.314 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.336 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1 1) 0.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 0.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.348 * * * [progress]: generating series expansions 0.348 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.348 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.348 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.348 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.348 * [taylor]: Taking taylor expansion of re 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 (sqrt (+ (pow re 2) (pow im 2))) in re 0.349 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.349 * [taylor]: Taking taylor expansion of re in re 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.349 * [taylor]: Taking taylor expansion of im in re 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.349 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.349 * [taylor]: Taking taylor expansion of re in re 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.349 * [taylor]: Taking taylor expansion of im in re 0.349 * [taylor]: Taking taylor expansion of im in im 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.350 * [taylor]: Taking taylor expansion of 1/2 in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.350 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.350 * [taylor]: Taking taylor expansion of re in im 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 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [taylor]: Taking taylor expansion of 1 in im 0.351 * [taylor]: Taking taylor expansion of 0 in im 0.351 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.351 * [taylor]: Taking taylor expansion of 1/2 in im 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.351 * [taylor]: Taking taylor expansion of im in im 0.352 * [taylor]: Taking taylor expansion of 0 in im 0.352 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 1 in im 0.353 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.353 * [taylor]: Taking taylor expansion of 1/2 in im 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.353 * [taylor]: Taking taylor expansion of im in im 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.354 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1 1) 0.354 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.354 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.354 * [taylor]: Taking taylor expansion of re in im 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 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 0.355 * [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 (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 im in im 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.355 * [taylor]: Taking taylor expansion of 1/2 in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.356 * [taylor]: Taking taylor expansion of im in im 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.356 * [taylor]: Taking taylor expansion of re in im 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.356 * [taylor]: Taking taylor expansion of im in re 0.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.357 * [taylor]: Taking taylor expansion of im in re 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.357 * [taylor]: Taking taylor expansion of re in re 0.357 * [taylor]: Taking taylor expansion of 1 in im 0.357 * [taylor]: Taking taylor expansion of 0 in im 0.357 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of 1/2 in im 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of 0 in im 0.358 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.358 * [taylor]: Taking taylor expansion of re in im 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.358 * [taylor]: Taking taylor expansion of im in re 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.358 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.359 * [taylor]: Taking taylor expansion of im in re 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.359 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.359 * [taylor]: Taking taylor expansion of re in re 0.359 * [taylor]: Taking taylor expansion of 1 in im 0.359 * [taylor]: Taking taylor expansion of 0 in im 0.359 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.359 * [taylor]: Taking taylor expansion of 1/2 in im 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.360 * [taylor]: Taking taylor expansion of 0 in im 0.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 0.360 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.360 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.360 * [taylor]: Taking taylor expansion of re in im 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.360 * [taylor]: Taking taylor expansion of im in im 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.360 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.361 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.361 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.361 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.361 * [taylor]: Taking taylor expansion of re in re 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.361 * [taylor]: Taking taylor expansion of im in re 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of 0 in im 0.361 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.362 * [taylor]: Taking taylor expansion of im in im 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.362 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.362 * [taylor]: Taking taylor expansion of re in im 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.362 * [taylor]: Taking taylor expansion of re in re 0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.362 * [taylor]: Taking taylor expansion of re in re 0.362 * [taylor]: Taking taylor expansion of 1 in im 0.362 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.363 * [taylor]: Taking taylor expansion of 1/2 in im 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.363 * [taylor]: Taking taylor expansion of 0 in im 0.363 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.364 * [taylor]: Taking taylor expansion of im in im 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.364 * [taylor]: Taking taylor expansion of re in im 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.364 * [taylor]: Taking taylor expansion of im in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.364 * [taylor]: Taking taylor expansion of im in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [taylor]: Taking taylor expansion of 1 in im 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.365 * [taylor]: Taking taylor expansion of 1/2 in im 0.365 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.365 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.366 * [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 0.366 * [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 0.366 * [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 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in im 0.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.366 * [taylor]: Taking taylor expansion of 1/3 in im 0.366 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow re 2) (pow im 2))))) in im 0.366 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.366 * [taylor]: Taking taylor expansion of re in im 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))) in im 0.366 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) in im 0.366 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3) in im 0.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)))) in im 0.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2))) in im 0.366 * [taylor]: Taking taylor expansion of 1/3 in im 0.366 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) in im 0.366 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 0.366 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [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 0.367 * [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 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in re 0.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.367 * [taylor]: Taking taylor expansion of 1/3 in re 0.367 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow re 2) (pow im 2))))) in re 0.367 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.367 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.367 * [taylor]: Taking taylor expansion of re in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))) in re 0.368 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) in re 0.368 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3) in re 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)))) in re 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2))) in re 0.368 * [taylor]: Taking taylor expansion of 1/3 in re 0.368 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) in re 0.368 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.368 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.368 * [taylor]: Taking taylor expansion of re 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 (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 0.369 * [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 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 1/3) in re 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.369 * [taylor]: Taking taylor expansion of 1/3 in re 0.369 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (pow re 2) (pow im 2))))) in re 0.369 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 (pow im 2) in re 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3))) in re 0.369 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3)) in re 0.369 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) 1/3) in re 0.369 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2)))) in re 0.369 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (pow re 2) (pow im 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 (+ (pow re 2) (pow im 2)))) 2)) in re 0.369 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (pow re 2) (pow im 2)))) 2) in re 0.369 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.370 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re 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 im in im 0.372 * [taylor]: Taking taylor expansion of 0 in im 0.375 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.375 * [taylor]: Taking taylor expansion of 1/2 in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [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 0.380 * [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 0.380 * [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 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in im 0.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.381 * [taylor]: Taking taylor expansion of 1/3 in im 0.381 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.381 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.381 * [taylor]: Taking taylor expansion of im in im 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.381 * [taylor]: Taking taylor expansion of re in im 0.381 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in im 0.381 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in im 0.381 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in im 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in im 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in im 0.381 * [taylor]: Taking taylor expansion of 1/3 in im 0.381 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in im 0.381 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in im 0.381 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.381 * [taylor]: Taking taylor expansion of im in im 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.381 * [taylor]: Taking taylor expansion of re in im 0.382 * [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 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.382 * [taylor]: Taking taylor expansion of 1/3 in re 0.382 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.382 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.383 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.383 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.383 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.383 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.383 * [taylor]: Taking taylor expansion of 1/3 in re 0.383 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.383 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.386 * [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 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.386 * [taylor]: Taking taylor expansion of 1/3 in re 0.386 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.386 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.387 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.387 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.387 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.387 * [taylor]: Taking taylor expansion of 1/3 in re 0.387 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.387 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.387 * [taylor]: Taking taylor expansion of im in re 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.387 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.387 * [taylor]: Taking taylor expansion of re in re 0.388 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.388 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.388 * [taylor]: Taking taylor expansion of (log 1) in im 0.388 * [taylor]: Taking taylor expansion of 1 in im 0.388 * [taylor]: Taking taylor expansion of (log re) in im 0.388 * [taylor]: Taking taylor expansion of re in im 0.390 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.397 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.397 * [taylor]: Taking taylor expansion of (log 1) in im 0.397 * [taylor]: Taking taylor expansion of 1 in im 0.397 * [taylor]: Taking taylor expansion of (log re) in im 0.397 * [taylor]: Taking taylor expansion of re in im 0.397 * [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 0.398 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) in im 0.398 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow im 2))) in im 0.398 * [taylor]: Taking taylor expansion of 1/6 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 (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2)))) in im 0.398 * [taylor]: Taking taylor expansion of 1/3 in im 0.398 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log re)) (pow im 2))) in im 0.398 * [taylor]: Taking taylor expansion of (log 1) in im 0.398 * [taylor]: Taking taylor expansion of 1 in im 0.398 * [taylor]: Taking taylor expansion of (* (- (log 1) (log re)) (pow im 2)) in im 0.398 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.398 * [taylor]: Taking taylor expansion of (log 1) in im 0.398 * [taylor]: Taking taylor expansion of 1 in im 0.398 * [taylor]: Taking taylor expansion of (log re) in im 0.398 * [taylor]: Taking taylor expansion of re 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 (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re))))) in im 0.398 * [taylor]: Taking taylor expansion of 1/3 in im 0.398 * [taylor]: Taking taylor expansion of (/ (log re) (* (pow im 2) (- (log 1) (log re)))) in im 0.398 * [taylor]: Taking taylor expansion of (log re) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.398 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (log 1) (log re))) 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 (- (log 1) (log re)) in im 0.398 * [taylor]: Taking taylor expansion of (log 1) in im 0.398 * [taylor]: Taking taylor expansion of 1 in im 0.398 * [taylor]: Taking taylor expansion of (log re) in im 0.398 * [taylor]: Taking taylor expansion of re in im 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [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 0.411 * [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 0.411 * [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 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in im 0.411 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.411 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.411 * [taylor]: Taking taylor expansion of 1/3 in im 0.411 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.411 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.412 * [taylor]: Taking taylor expansion of re in im 0.412 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in im 0.412 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in im 0.412 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in im 0.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in im 0.412 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in im 0.412 * [taylor]: Taking taylor expansion of 1/3 in im 0.412 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in im 0.412 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in im 0.412 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.412 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.412 * [taylor]: Taking taylor expansion of re in im 0.413 * [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 0.413 * [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 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.413 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.413 * [taylor]: Taking taylor expansion of 1/3 in re 0.413 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.413 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.413 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.413 * [taylor]: Taking taylor expansion of im in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.414 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.414 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.414 * [taylor]: Taking taylor expansion of 1/3 in re 0.414 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.414 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.415 * [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 0.415 * [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 0.415 * [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 0.415 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1/3) in re 0.415 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.415 * [taylor]: Taking taylor expansion of (* 1/3 (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.415 * [taylor]: Taking taylor expansion of 1/3 in re 0.415 * [taylor]: Taking taylor expansion of (log (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.415 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.415 * [taylor]: Taking taylor expansion of im in re 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.415 * [taylor]: Taking taylor expansion of re in re 0.416 * [taylor]: Taking taylor expansion of (log (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3))) in re 0.416 * [taylor]: Taking taylor expansion of (exp (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3)) in re 0.416 * [taylor]: Taking taylor expansion of (pow (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) 1/3) in re 0.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)))) in re 0.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2))) in re 0.416 * [taylor]: Taking taylor expansion of 1/3 in re 0.416 * [taylor]: Taking taylor expansion of (log (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2) in re 0.416 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.416 * [taylor]: Taking taylor expansion of im in re 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.416 * [taylor]: Taking taylor expansion of re in re 0.417 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.417 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.417 * [taylor]: Taking taylor expansion of (log 1) in im 0.417 * [taylor]: Taking taylor expansion of 1 in im 0.417 * [taylor]: Taking taylor expansion of (log re) in im 0.417 * [taylor]: Taking taylor expansion of re in im 0.419 * [taylor]: Taking taylor expansion of 0 in im 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 0.426 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.426 * [taylor]: Taking taylor expansion of (log 1) in im 0.426 * [taylor]: Taking taylor expansion of 1 in im 0.426 * [taylor]: Taking taylor expansion of (log re) in im 0.426 * [taylor]: Taking taylor expansion of re in im 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow im 2))) (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2))))) in im 0.426 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow im 2))) in im 0.426 * [taylor]: Taking taylor expansion of 1/6 in im 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log 1) (* (- (log 1) (log re)) (pow im 2)))) in im 0.426 * [taylor]: Taking taylor expansion of 1/3 in im 0.426 * [taylor]: Taking taylor expansion of (/ (log 1) (* (- (log 1) (log re)) (pow im 2))) in im 0.426 * [taylor]: Taking taylor expansion of (log 1) in im 0.426 * [taylor]: Taking taylor expansion of 1 in im 0.426 * [taylor]: Taking taylor expansion of (* (- (log 1) (log re)) (pow im 2)) in im 0.426 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.426 * [taylor]: Taking taylor expansion of (log 1) in im 0.426 * [taylor]: Taking taylor expansion of 1 in im 0.427 * [taylor]: Taking taylor expansion of (log re) in im 0.427 * [taylor]: Taking taylor expansion of re in im 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.427 * [taylor]: Taking taylor expansion of (* 1/3 (/ (log re) (* (pow im 2) (- (log 1) (log re))))) in im 0.427 * [taylor]: Taking taylor expansion of 1/3 in im 0.427 * [taylor]: Taking taylor expansion of (/ (log re) (* (pow im 2) (- (log 1) (log re)))) in im 0.427 * [taylor]: Taking taylor expansion of (log re) in im 0.427 * [taylor]: Taking taylor expansion of re in im 0.427 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (log 1) (log re))) in im 0.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.427 * [taylor]: Taking taylor expansion of im in im 0.427 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 0.427 * [taylor]: Taking taylor expansion of (log 1) in im 0.427 * [taylor]: Taking taylor expansion of 1 in im 0.427 * [taylor]: Taking taylor expansion of (log re) in im 0.427 * [taylor]: Taking taylor expansion of re in im 0.439 * [taylor]: Taking taylor expansion of 0 in im 0.439 * * * [progress]: simplifying candidates 0.440 * [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)))) 0.445 * * [simplify]: iteration 0 : 197 enodes (cost 929 ) 0.448 * * [simplify]: iteration 1 : 514 enodes (cost 856 ) 0.456 * * [simplify]: iteration 2 : 1563 enodes (cost 841 ) 0.487 * * [simplify]: iteration 3 : 5001 enodes (cost 837 ) 0.491 * [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) 0.491 * * * [progress]: adding candidates to table 0.592 * * [progress]: iteration 4 / 4 0.592 * * * [progress]: picking best candidate 0.608 * * * * [pick]: Picked # 0.608 * * * [progress]: localizing error 0.638 * * * [progress]: generating rewritten candidates 0.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) 0.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) 0.656 * * * [progress]: generating series expansions 0.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.656 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.657 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.657 * [taylor]: Taking taylor expansion of re in re 0.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.657 * [taylor]: Taking taylor expansion of im in re 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.657 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.657 * [taylor]: Taking taylor expansion of re in re 0.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.657 * [taylor]: Taking taylor expansion of im in re 0.657 * [taylor]: Taking taylor expansion of im in im 0.657 * [taylor]: Taking taylor expansion of 0 in im 0.657 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.657 * [taylor]: Taking taylor expansion of 1/2 in im 0.658 * [taylor]: Taking taylor expansion of im in im 0.658 * [taylor]: Taking taylor expansion of 0 in im 0.658 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.658 * [taylor]: Taking taylor expansion of im in im 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.658 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.658 * [taylor]: Taking taylor expansion of re in im 0.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.659 * [taylor]: Taking taylor expansion of im in re 0.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.659 * [taylor]: Taking taylor expansion of re in re 0.659 * [taylor]: Taking taylor expansion of 1 in im 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.659 * [taylor]: Taking taylor expansion of 1/2 in im 0.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.659 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of 0 in im 0.660 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.660 * [taylor]: Taking taylor expansion of im in im 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.660 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.660 * [taylor]: Taking taylor expansion of re in im 0.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.661 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.661 * [taylor]: Taking taylor expansion of im in re 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.661 * [taylor]: Taking taylor expansion of re in re 0.661 * [taylor]: Taking taylor expansion of 1 in im 0.661 * [taylor]: Taking taylor expansion of 0 in im 0.661 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.661 * [taylor]: Taking taylor expansion of 1/2 in im 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.662 * [taylor]: Taking taylor expansion of im in im 0.662 * [taylor]: Taking taylor expansion of 0 in im 0.662 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1 1) 0.662 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.662 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.662 * [taylor]: Taking taylor expansion of re in im 0.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.662 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.663 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [taylor]: Taking taylor expansion of im in im 0.663 * [taylor]: Taking taylor expansion of 0 in im 0.663 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.663 * [taylor]: Taking taylor expansion of 1/2 in im 0.663 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of 0 in im 0.664 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.664 * [taylor]: Taking taylor expansion of im in im 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.664 * [taylor]: Taking taylor expansion of re in im 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.665 * [taylor]: Taking taylor expansion of im in re 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [taylor]: Taking taylor expansion of 1 in im 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.665 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.665 * [taylor]: Taking taylor expansion of 1/2 in im 0.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.665 * [taylor]: Taking taylor expansion of im in im 0.666 * [taylor]: Taking taylor expansion of 0 in im 0.666 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.666 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.666 * [taylor]: Taking taylor expansion of re in im 0.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.666 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.666 * [taylor]: Taking taylor expansion of im in re 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.666 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.667 * [taylor]: Taking taylor expansion of im in re 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.667 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.667 * [taylor]: Taking taylor expansion of re in re 0.667 * [taylor]: Taking taylor expansion of 1 in im 0.667 * [taylor]: Taking taylor expansion of 0 in im 0.667 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.667 * [taylor]: Taking taylor expansion of 1/2 in im 0.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.667 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.668 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) 0.668 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.668 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.668 * [taylor]: Taking taylor expansion of re in im 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.668 * [taylor]: Taking taylor expansion of im in im 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.668 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.668 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.668 * [taylor]: Taking taylor expansion of re in re 0.668 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.668 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.669 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.669 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.669 * [taylor]: Taking taylor expansion of re in re 0.669 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.669 * [taylor]: Taking taylor expansion of im in re 0.669 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of 0 in im 0.669 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.669 * [taylor]: Taking taylor expansion of 1/2 in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.669 * [taylor]: Taking taylor expansion of 0 in im 0.670 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.670 * [taylor]: Taking taylor expansion of im in im 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.670 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.670 * [taylor]: Taking taylor expansion of re in im 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.670 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.670 * [taylor]: Taking taylor expansion of im in re 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.670 * [taylor]: Taking taylor expansion of re in re 0.671 * [taylor]: Taking taylor expansion of 1 in im 0.671 * [taylor]: Taking taylor expansion of 0 in im 0.671 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.671 * [taylor]: Taking taylor expansion of 1/2 in im 0.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.671 * [taylor]: Taking taylor expansion of im in im 0.671 * [taylor]: Taking taylor expansion of 0 in im 0.672 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.672 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.672 * [taylor]: Taking taylor expansion of re in im 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.672 * [taylor]: Taking taylor expansion of im in re 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.672 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.672 * [taylor]: Taking taylor expansion of re in re 0.673 * [taylor]: Taking taylor expansion of 1 in im 0.673 * [taylor]: Taking taylor expansion of 0 in im 0.673 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.673 * [taylor]: Taking taylor expansion of 1/2 in im 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.673 * [taylor]: Taking taylor expansion of im in im 0.673 * [taylor]: Taking taylor expansion of 0 in im 0.674 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) 0.674 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.674 * [taylor]: Taking taylor expansion of re in im 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.674 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of 0 in im 0.675 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.675 * [taylor]: Taking taylor expansion of 1/2 in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of 0 in im 0.675 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.675 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.675 * [taylor]: Taking taylor expansion of re in im 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.676 * [taylor]: Taking taylor expansion of im in re 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.676 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.676 * [taylor]: Taking taylor expansion of im in re 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.676 * [taylor]: Taking taylor expansion of re in re 0.676 * [taylor]: Taking taylor expansion of 1 in im 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.677 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.677 * [taylor]: Taking taylor expansion of 1/2 in im 0.677 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of 0 in im 0.677 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.677 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.677 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.677 * [taylor]: Taking taylor expansion of re in im 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.678 * [taylor]: Taking taylor expansion of im in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.678 * [taylor]: Taking taylor expansion of im in re 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.678 * [taylor]: Taking taylor expansion of re in re 0.678 * [taylor]: Taking taylor expansion of 1 in im 0.678 * [taylor]: Taking taylor expansion of 0 in im 0.679 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.679 * [taylor]: Taking taylor expansion of 1/2 in im 0.679 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.679 * [taylor]: Taking taylor expansion of im in im 0.679 * [taylor]: Taking taylor expansion of 0 in im 0.679 * * * [progress]: simplifying candidates 0.680 * [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) 0.683 * * [simplify]: iteration 0 : 89 enodes (cost 400 ) 0.685 * * [simplify]: iteration 1 : 215 enodes (cost 388 ) 0.689 * * [simplify]: iteration 2 : 503 enodes (cost 388 ) 0.698 * * [simplify]: iteration 3 : 1265 enodes (cost 388 ) 0.727 * * [simplify]: iteration 4 : 4227 enodes (cost 388 ) 0.815 * * [simplify]: iteration 5 : 5002 enodes (cost 384 ) 0.818 * [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) 0.818 * * * [progress]: adding candidates to table 0.940 * [progress]: [Phase 3 of 3] Extracting. 0.940 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.941 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.941 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 0.991 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # #) 1.039 * * * * [regimes]: Trying to branch on (* re re) from (# # # # # # #) 1.089 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 1.123 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # # # #) 1.178 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 1.210 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # # # #) 1.269 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 1.305 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 1.376 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 1.449 * * * [regime]: Found split indices: #