10.284 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.014 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.015 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.015 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.015 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.023 * * * [progress]: generating rewritten candidates 0.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.026 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.029 * * * [progress]: generating series expansions 0.029 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.029 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.029 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.029 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.029 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.029 * [taylor]: Taking taylor expansion of re in im 0.029 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.029 * [taylor]: Taking taylor expansion of im in im 0.030 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.030 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.030 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.030 * [taylor]: Taking taylor expansion of re in re 0.030 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.030 * [taylor]: Taking taylor expansion of im in re 0.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.031 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.031 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.031 * [taylor]: Taking taylor expansion of re in re 0.031 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.031 * [taylor]: Taking taylor expansion of im in re 0.031 * [taylor]: Taking taylor expansion of im in im 0.031 * [taylor]: Taking taylor expansion of 0 in im 0.033 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.033 * [taylor]: Taking taylor expansion of 1/2 in im 0.033 * [taylor]: Taking taylor expansion of im in im 0.035 * [taylor]: Taking taylor expansion of 0 in im 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.036 * [taylor]: Taking taylor expansion of re in im 0.038 * [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 0.039 * [taylor]: Taking taylor expansion of im in re 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.039 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.044 * [taylor]: Taking taylor expansion of 1 in im 0.044 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.046 * [taylor]: Taking taylor expansion of 1/2 in im 0.046 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.046 * [taylor]: Taking taylor expansion of im in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.050 * [taylor]: Taking taylor expansion of im in im 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.051 * [taylor]: Taking taylor expansion of re in im 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.053 * [taylor]: Taking taylor expansion of im in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.053 * [taylor]: Taking taylor expansion of re in re 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.057 * [taylor]: Taking taylor expansion of 1 in im 0.057 * [taylor]: Taking taylor expansion of 0 in im 0.059 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.059 * [taylor]: Taking taylor expansion of 1/2 in im 0.059 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.059 * [taylor]: Taking taylor expansion of im in im 0.063 * [taylor]: Taking taylor expansion of 0 in im 0.064 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.064 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.064 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.064 * [taylor]: Taking taylor expansion of re in im 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.064 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.065 * [taylor]: Taking taylor expansion of 0 in im 0.065 * [taylor]: Taking taylor expansion of 1 in im 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.069 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.069 * [taylor]: Taking taylor expansion of re in im 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.083 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.083 * [taylor]: Taking taylor expansion of im in im 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.083 * [taylor]: Taking taylor expansion of re in im 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.083 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.084 * [taylor]: Taking taylor expansion of im in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.085 * [taylor]: Taking taylor expansion of 1 in im 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.094 * * * [progress]: simplifying candidates 0.094 * [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)) 0.096 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.105 * * [simplify]: iteration 1 : 125 enodes (cost 347 ) 0.131 * * [simplify]: iteration 2 : 438 enodes (cost 295 ) 0.328 * * [simplify]: iteration 3 : 1621 enodes (cost 295 ) 1.157 * * [simplify]: iteration done : 5000 enodes (cost 295 ) 1.158 * [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 im 6) (pow re 6))) (sqrt (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4)))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.158 * * * [progress]: adding candidates to table 1.225 * * [progress]: iteration 2 / 4 1.225 * * * [progress]: picking best candidate 1.229 * * * * [pick]: Picked # 1.230 * * * [progress]: localizing error 1.239 * * * [progress]: generating rewritten candidates 1.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.243 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.247 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.254 * * * [progress]: generating series expansions 1.254 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.254 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.254 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.254 * [taylor]: Taking taylor expansion of re in im 1.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.254 * [taylor]: Taking taylor expansion of im in im 1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.255 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.255 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.255 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.255 * [taylor]: Taking taylor expansion of re in re 1.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.255 * [taylor]: Taking taylor expansion of im in re 1.256 * [taylor]: Taking taylor expansion of im in im 1.256 * [taylor]: Taking taylor expansion of 0 in im 1.257 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.257 * [taylor]: Taking taylor expansion of 1/2 in im 1.257 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of 0 in im 1.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.261 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.261 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.263 * [taylor]: Taking taylor expansion of im in re 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.263 * [taylor]: Taking taylor expansion of re in re 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.265 * [taylor]: Taking taylor expansion of im in re 1.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.265 * [taylor]: Taking taylor expansion of re in re 1.268 * [taylor]: Taking taylor expansion of 1 in im 1.268 * [taylor]: Taking taylor expansion of 0 in im 1.270 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.270 * [taylor]: Taking taylor expansion of 1/2 in im 1.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.270 * [taylor]: Taking taylor expansion of im in im 1.276 * [taylor]: Taking taylor expansion of 0 in im 1.277 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.277 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.278 * [taylor]: Taking taylor expansion of re in im 1.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.280 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.280 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.280 * [taylor]: Taking taylor expansion of im in re 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.280 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.280 * [taylor]: Taking taylor expansion of re in re 1.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.282 * [taylor]: Taking taylor expansion of im in re 1.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.283 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.285 * [taylor]: Taking taylor expansion of 1 in im 1.285 * [taylor]: Taking taylor expansion of 0 in im 1.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.287 * [taylor]: Taking taylor expansion of 1/2 in im 1.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.290 * [taylor]: Taking taylor expansion of 0 in im 1.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.291 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.291 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.291 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.291 * [taylor]: Taking taylor expansion of im in im 1.292 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.292 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.292 * [taylor]: Taking taylor expansion of re in re 1.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.292 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.293 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.293 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.293 * [taylor]: Taking taylor expansion of re in re 1.293 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.293 * [taylor]: Taking taylor expansion of im in re 1.293 * [taylor]: Taking taylor expansion of im in im 1.293 * [taylor]: Taking taylor expansion of 0 in im 1.294 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.294 * [taylor]: Taking taylor expansion of 1/2 in im 1.294 * [taylor]: Taking taylor expansion of im in im 1.296 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.298 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.298 * [taylor]: Taking taylor expansion of re in im 1.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.300 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.305 * [taylor]: Taking taylor expansion of 1 in im 1.305 * [taylor]: Taking taylor expansion of 0 in im 1.307 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.307 * [taylor]: Taking taylor expansion of 1/2 in im 1.307 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.307 * [taylor]: Taking taylor expansion of im in im 1.310 * [taylor]: Taking taylor expansion of 0 in im 1.311 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.311 * [taylor]: Taking taylor expansion of im in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.312 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.312 * [taylor]: Taking taylor expansion of re in im 1.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.314 * [taylor]: Taking taylor expansion of im in re 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.314 * [taylor]: Taking taylor expansion of re in re 1.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.316 * [taylor]: Taking taylor expansion of im in re 1.317 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.317 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.317 * [taylor]: Taking taylor expansion of re in re 1.319 * [taylor]: Taking taylor expansion of 1 in im 1.319 * [taylor]: Taking taylor expansion of 0 in im 1.321 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.321 * [taylor]: Taking taylor expansion of 1/2 in im 1.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.321 * [taylor]: Taking taylor expansion of im in im 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.325 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.325 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.325 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.325 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.325 * [taylor]: Taking taylor expansion of re in im 1.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.325 * [taylor]: Taking taylor expansion of im in im 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.326 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.326 * [taylor]: Taking taylor expansion of re in re 1.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.326 * [taylor]: Taking taylor expansion of im in re 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.326 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.327 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of 0 in im 1.328 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.329 * [taylor]: Taking taylor expansion of 1/2 in im 1.329 * [taylor]: Taking taylor expansion of im in im 1.330 * [taylor]: Taking taylor expansion of 0 in im 1.331 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.331 * [taylor]: Taking taylor expansion of im in im 1.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.332 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.332 * [taylor]: Taking taylor expansion of re in im 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.336 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.336 * [taylor]: Taking taylor expansion of im in re 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.336 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.336 * [taylor]: Taking taylor expansion of re in re 1.339 * [taylor]: Taking taylor expansion of 1 in im 1.339 * [taylor]: Taking taylor expansion of 0 in im 1.341 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.341 * [taylor]: Taking taylor expansion of 1/2 in im 1.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.344 * [taylor]: Taking taylor expansion of 0 in im 1.345 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.346 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.346 * [taylor]: Taking taylor expansion of re in im 1.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.348 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.348 * [taylor]: Taking taylor expansion of im in re 1.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.348 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.348 * [taylor]: Taking taylor expansion of re in re 1.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.350 * [taylor]: Taking taylor expansion of im in re 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.351 * [taylor]: Taking taylor expansion of re in re 1.353 * [taylor]: Taking taylor expansion of 1 in im 1.353 * [taylor]: Taking taylor expansion of 0 in im 1.355 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.355 * [taylor]: Taking taylor expansion of 1/2 in im 1.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.355 * [taylor]: Taking taylor expansion of im in im 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.362 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in (re im) around 0 1.362 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in im 1.362 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in im 1.362 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in im 1.362 * [taylor]: Taking taylor expansion of 1/6 in im 1.362 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.362 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.362 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.362 * [taylor]: Taking taylor expansion of re in im 1.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.362 * [taylor]: Taking taylor expansion of im in im 1.363 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 1.363 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 1.363 * [taylor]: Taking taylor expansion of 1/6 in re 1.363 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.363 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 1.363 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 1.363 * [taylor]: Taking taylor expansion of 1/6 in re 1.363 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.363 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.363 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.363 * [taylor]: Taking taylor expansion of im in re 1.363 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 1.364 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 1.364 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 1.364 * [taylor]: Taking taylor expansion of 1/6 in im 1.364 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.366 * [taylor]: Taking taylor expansion of 0 in im 1.371 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.371 * [taylor]: Taking taylor expansion of 1/6 in im 1.371 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.371 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.371 * [taylor]: Taking taylor expansion of 1/3 in im 1.371 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.371 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of 0 in im 1.390 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.390 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.390 * [taylor]: Taking taylor expansion of 1/6 in im 1.390 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.392 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.392 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.392 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.392 * [taylor]: Taking taylor expansion of 1/6 in re 1.392 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.393 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.393 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.393 * [taylor]: Taking taylor expansion of 1/6 in re 1.393 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.395 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.395 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.395 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.395 * [taylor]: Taking taylor expansion of -1/3 in im 1.395 * [taylor]: Taking taylor expansion of (log re) in im 1.395 * [taylor]: Taking taylor expansion of re in im 1.398 * [taylor]: Taking taylor expansion of 0 in im 1.403 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.403 * [taylor]: Taking taylor expansion of 1/6 in im 1.403 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.403 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.403 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.403 * [taylor]: Taking taylor expansion of 1/3 in im 1.403 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.403 * [taylor]: Taking taylor expansion of im in im 1.418 * [taylor]: Taking taylor expansion of 0 in im 1.419 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 1.419 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 1.419 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.419 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.419 * [taylor]: Taking taylor expansion of 1/6 in im 1.419 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.420 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.420 * [taylor]: Taking taylor expansion of 1/6 in re 1.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.422 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.422 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.422 * [taylor]: Taking taylor expansion of 1/6 in re 1.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.422 * [taylor]: Taking taylor expansion of im in re 1.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.423 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.423 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.423 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.423 * [taylor]: Taking taylor expansion of -1/3 in im 1.423 * [taylor]: Taking taylor expansion of (log re) in im 1.423 * [taylor]: Taking taylor expansion of re in im 1.426 * [taylor]: Taking taylor expansion of 0 in im 1.431 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.431 * [taylor]: Taking taylor expansion of 1/6 in im 1.431 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.431 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.431 * [taylor]: Taking taylor expansion of 1/3 in im 1.431 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.431 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.431 * [taylor]: Taking taylor expansion of re in im 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.431 * [taylor]: Taking taylor expansion of im in im 1.450 * [taylor]: Taking taylor expansion of 0 in im 1.450 * * * [progress]: simplifying candidates 1.451 * [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 (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt 1)) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt 1) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (cbrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (cbrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.454 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 1.466 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 1.495 * * [simplify]: iteration 2 : 366 enodes (cost 761 ) 1.604 * * [simplify]: iteration 3 : 944 enodes (cost 750 ) 2.216 * * [simplify]: iteration 4 : 3187 enodes (cost 750 ) 2.981 * * [simplify]: iteration done : 5000 enodes (cost 750 ) 2.981 * [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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (cbrt (sqrt (+ (* re re) (* im im))))) (exp (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (fabs (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (pow im 6) (pow re 6)))) (cbrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (cbrt (sqrt (- (pow re 4) (pow im 4)))) (cbrt (sqrt (- (* re re) (* im im)))) (* (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im)))))) (cbrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (+ (* re re) (* im im))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) im re (- re) (+ (* 1/6 (* (* re re) (cbrt (/ 1 (pow im 5))))) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 2.982 * * * [progress]: adding candidates to table 3.173 * * [progress]: iteration 3 / 4 3.173 * * * [progress]: picking best candidate 3.178 * * * * [pick]: Picked # 3.178 * * * [progress]: localizing error 3.193 * * * [progress]: generating rewritten candidates 3.193 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 3.196 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 3.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 3.205 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.210 * * * [progress]: generating series expansions 3.210 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 3.210 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.210 * [taylor]: Taking taylor expansion of re in im 3.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.210 * [taylor]: Taking taylor expansion of im in im 3.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.211 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.211 * [taylor]: Taking taylor expansion of re in re 3.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.211 * [taylor]: Taking taylor expansion of im in re 3.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.212 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.212 * [taylor]: Taking taylor expansion of re in re 3.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.212 * [taylor]: Taking taylor expansion of im in re 3.212 * [taylor]: Taking taylor expansion of im in im 3.212 * [taylor]: Taking taylor expansion of 0 in im 3.213 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.213 * [taylor]: Taking taylor expansion of 1/2 in im 3.214 * [taylor]: Taking taylor expansion of im in im 3.215 * [taylor]: Taking taylor expansion of 0 in im 3.216 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.216 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.216 * [taylor]: Taking taylor expansion of im in im 3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.217 * [taylor]: Taking taylor expansion of re in im 3.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.219 * [taylor]: Taking taylor expansion of im in re 3.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.219 * [taylor]: Taking taylor expansion of re in re 3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.221 * [taylor]: Taking taylor expansion of im in re 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.221 * [taylor]: Taking taylor expansion of re in re 3.224 * [taylor]: Taking taylor expansion of 1 in im 3.224 * [taylor]: Taking taylor expansion of 0 in im 3.226 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.226 * [taylor]: Taking taylor expansion of 1/2 in im 3.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.226 * [taylor]: Taking taylor expansion of im in im 3.229 * [taylor]: Taking taylor expansion of 0 in im 3.230 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.230 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.230 * [taylor]: Taking taylor expansion of im in im 3.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.231 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.231 * [taylor]: Taking taylor expansion of re in im 3.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.233 * [taylor]: Taking taylor expansion of im in re 3.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.233 * [taylor]: Taking taylor expansion of re in re 3.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.235 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.235 * [taylor]: Taking taylor expansion of im in re 3.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.235 * [taylor]: Taking taylor expansion of re in re 3.238 * [taylor]: Taking taylor expansion of 1 in im 3.238 * [taylor]: Taking taylor expansion of 0 in im 3.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.240 * [taylor]: Taking taylor expansion of 1/2 in im 3.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.240 * [taylor]: Taking taylor expansion of im in im 3.243 * [taylor]: Taking taylor expansion of 0 in im 3.244 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 3.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.244 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.244 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.244 * [taylor]: Taking taylor expansion of re in im 3.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.244 * [taylor]: Taking taylor expansion of im in im 3.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.245 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.245 * [taylor]: Taking taylor expansion of re in re 3.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.245 * [taylor]: Taking taylor expansion of im in re 3.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.245 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.245 * [taylor]: Taking taylor expansion of re in re 3.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.245 * [taylor]: Taking taylor expansion of im in re 3.246 * [taylor]: Taking taylor expansion of im in im 3.246 * [taylor]: Taking taylor expansion of 0 in im 3.247 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.247 * [taylor]: Taking taylor expansion of 1/2 in im 3.247 * [taylor]: Taking taylor expansion of im in im 3.249 * [taylor]: Taking taylor expansion of 0 in im 3.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.250 * [taylor]: Taking taylor expansion of im in im 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.251 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.251 * [taylor]: Taking taylor expansion of re in im 3.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.253 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.253 * [taylor]: Taking taylor expansion of im in re 3.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.253 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.253 * [taylor]: Taking taylor expansion of re in re 3.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.255 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.255 * [taylor]: Taking taylor expansion of im in re 3.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.255 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.255 * [taylor]: Taking taylor expansion of re in re 3.258 * [taylor]: Taking taylor expansion of 1 in im 3.258 * [taylor]: Taking taylor expansion of 0 in im 3.259 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.260 * [taylor]: Taking taylor expansion of 1/2 in im 3.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.260 * [taylor]: Taking taylor expansion of im in im 3.263 * [taylor]: Taking taylor expansion of 0 in im 3.264 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.264 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.264 * [taylor]: Taking taylor expansion of im in im 3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.264 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.264 * [taylor]: Taking taylor expansion of re in im 3.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.266 * [taylor]: Taking taylor expansion of im in re 3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.267 * [taylor]: Taking taylor expansion of re in re 3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.269 * [taylor]: Taking taylor expansion of im in re 3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.269 * [taylor]: Taking taylor expansion of re in re 3.271 * [taylor]: Taking taylor expansion of 1 in im 3.271 * [taylor]: Taking taylor expansion of 0 in im 3.273 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.273 * [taylor]: Taking taylor expansion of 1/2 in im 3.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.273 * [taylor]: Taking taylor expansion of im in im 3.276 * [taylor]: Taking taylor expansion of 0 in im 3.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 3.278 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.278 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.278 * [taylor]: Taking taylor expansion of re in im 3.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.278 * [taylor]: Taking taylor expansion of im in im 3.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.278 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.278 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.278 * [taylor]: Taking taylor expansion of re in re 3.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.278 * [taylor]: Taking taylor expansion of im in re 3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.279 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.279 * [taylor]: Taking taylor expansion of re in re 3.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.279 * [taylor]: Taking taylor expansion of im in re 3.280 * [taylor]: Taking taylor expansion of im in im 3.280 * [taylor]: Taking taylor expansion of 0 in im 3.281 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.281 * [taylor]: Taking taylor expansion of 1/2 in im 3.281 * [taylor]: Taking taylor expansion of im in im 3.286 * [taylor]: Taking taylor expansion of 0 in im 3.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.286 * [taylor]: Taking taylor expansion of im in im 3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.287 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.287 * [taylor]: Taking taylor expansion of re in im 3.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.289 * [taylor]: Taking taylor expansion of im in re 3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.289 * [taylor]: Taking taylor expansion of re in re 3.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.292 * [taylor]: Taking taylor expansion of im in re 3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.292 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.292 * [taylor]: Taking taylor expansion of re in re 3.294 * [taylor]: Taking taylor expansion of 1 in im 3.294 * [taylor]: Taking taylor expansion of 0 in im 3.296 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.296 * [taylor]: Taking taylor expansion of 1/2 in im 3.296 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.296 * [taylor]: Taking taylor expansion of im in im 3.299 * [taylor]: Taking taylor expansion of 0 in im 3.301 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.301 * [taylor]: Taking taylor expansion of im in im 3.301 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.301 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.301 * [taylor]: Taking taylor expansion of re in im 3.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.303 * [taylor]: Taking taylor expansion of im in re 3.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.303 * [taylor]: Taking taylor expansion of re in re 3.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.306 * [taylor]: Taking taylor expansion of im in re 3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.306 * [taylor]: Taking taylor expansion of re in re 3.308 * [taylor]: Taking taylor expansion of 1 in im 3.308 * [taylor]: Taking taylor expansion of 0 in im 3.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.310 * [taylor]: Taking taylor expansion of 1/2 in im 3.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.310 * [taylor]: Taking taylor expansion of im in im 3.313 * [taylor]: Taking taylor expansion of 0 in im 3.314 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.314 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.314 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.314 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.314 * [taylor]: Taking taylor expansion of re in im 3.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.314 * [taylor]: Taking taylor expansion of im in im 3.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.315 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.315 * [taylor]: Taking taylor expansion of re in re 3.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.315 * [taylor]: Taking taylor expansion of im in re 3.316 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.316 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.316 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.316 * [taylor]: Taking taylor expansion of re in re 3.316 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.316 * [taylor]: Taking taylor expansion of im in re 3.316 * [taylor]: Taking taylor expansion of im in im 3.316 * [taylor]: Taking taylor expansion of 0 in im 3.317 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.317 * [taylor]: Taking taylor expansion of 1/2 in im 3.317 * [taylor]: Taking taylor expansion of im in im 3.319 * [taylor]: Taking taylor expansion of 0 in im 3.320 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.320 * [taylor]: Taking taylor expansion of im in im 3.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.321 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.321 * [taylor]: Taking taylor expansion of re in im 3.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.323 * [taylor]: Taking taylor expansion of im in re 3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.323 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.323 * [taylor]: Taking taylor expansion of re in re 3.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.325 * [taylor]: Taking taylor expansion of im in re 3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.325 * [taylor]: Taking taylor expansion of re in re 3.328 * [taylor]: Taking taylor expansion of 1 in im 3.328 * [taylor]: Taking taylor expansion of 0 in im 3.330 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.330 * [taylor]: Taking taylor expansion of 1/2 in im 3.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.330 * [taylor]: Taking taylor expansion of im in im 3.333 * [taylor]: Taking taylor expansion of 0 in im 3.334 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.334 * [taylor]: Taking taylor expansion of im in im 3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.335 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.335 * [taylor]: Taking taylor expansion of re in im 3.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.337 * [taylor]: Taking taylor expansion of im in re 3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.337 * [taylor]: Taking taylor expansion of re in re 3.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.340 * [taylor]: Taking taylor expansion of im in re 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.340 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.340 * [taylor]: Taking taylor expansion of re in re 3.342 * [taylor]: Taking taylor expansion of 1 in im 3.342 * [taylor]: Taking taylor expansion of 0 in im 3.344 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.344 * [taylor]: Taking taylor expansion of 1/2 in im 3.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.344 * [taylor]: Taking taylor expansion of im in im 3.347 * [taylor]: Taking taylor expansion of 0 in im 3.348 * * * [progress]: simplifying candidates 3.349 * [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) 3.352 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 3.358 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 3.375 * * [simplify]: iteration 2 : 207 enodes (cost 680 ) 3.421 * * [simplify]: iteration 3 : 459 enodes (cost 656 ) 3.532 * * [simplify]: iteration 4 : 1009 enodes (cost 656 ) 3.981 * * [simplify]: iteration 5 : 2577 enodes (cost 656 ) 4.931 * * [simplify]: iteration done : 5000 enodes (cost 656 ) 4.932 * [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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (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 im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 4.932 * * * [progress]: adding candidates to table 5.170 * * [progress]: iteration 4 / 4 5.170 * * * [progress]: picking best candidate 5.172 * * * * [pick]: Picked # 5.172 * * * [progress]: localizing error 5.173 * * * [progress]: generating rewritten candidates 5.173 * * * [progress]: generating series expansions 5.173 * * * [progress]: simplifying candidates 5.173 * [simplify]: Simplifying using # : 5.174 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.174 * * [simplify]: iteration done : 0 enodes (cost 0 ) 5.174 * [simplify]: Simplified to: 5.174 * * * [progress]: adding candidates to table 5.174 * [progress]: [Phase 3 of 3] Extracting. 5.174 * * [regime]: Finding splitpoints for: (# # # # #) 5.175 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 5.175 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 5.195 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 5.215 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 5.233 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 5.250 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 5.270 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 5.282 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 5.306 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 5.322 * * * * [regimes]: Trying to branch on im from (# # # # #) 5.354 * * * * [regimes]: Trying to branch on re from (# # # # #) 5.382 * * * [regime]: Found split indices: #