2.790 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.017 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.018 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.018 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.019 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.030 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.033 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.033 * [taylor]: Taking taylor expansion of re in im 0.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.033 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.034 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.034 * [taylor]: Taking taylor expansion of re in re 0.034 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.034 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.035 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.035 * [taylor]: Taking taylor expansion of re in re 0.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.035 * [taylor]: Taking taylor expansion of im in re 0.035 * [taylor]: Taking taylor expansion of im in im 0.035 * [taylor]: Taking taylor expansion of 0 in im 0.037 * [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 0.039 * [taylor]: Taking taylor expansion of 0 in im 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.039 * [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 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 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 0.047 * [taylor]: Taking taylor expansion of 1 in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.049 * [taylor]: Taking taylor expansion of 1/2 in im 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.052 * [taylor]: Taking taylor expansion of 0 in im 0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.054 * [taylor]: Taking taylor expansion of im in im 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.054 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.054 * [taylor]: Taking taylor expansion of re in im 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.056 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.056 * [taylor]: Taking taylor expansion of im in re 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.057 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.057 * [taylor]: Taking taylor expansion of re in re 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.060 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.060 * [taylor]: Taking taylor expansion of re in re 0.062 * [taylor]: Taking taylor expansion of 1 in im 0.062 * [taylor]: Taking taylor expansion of 0 in im 0.064 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.064 * [taylor]: Taking taylor expansion of 1/2 in im 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.067 * [taylor]: Taking taylor expansion of 0 in im 0.069 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.069 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.069 * [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 (+ (pow re 2) (pow im 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.069 * [taylor]: Taking taylor expansion of im in im 0.070 * [taylor]: Taking taylor expansion of 0 in im 0.070 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.074 * [taylor]: Taking taylor expansion of im in im 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.075 * [taylor]: Taking taylor expansion of re in im 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.075 * [taylor]: Taking taylor expansion of re in re 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.075 * [taylor]: Taking taylor expansion of im in re 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.076 * [taylor]: Taking taylor expansion of re in re 0.076 * [taylor]: Taking taylor expansion of 1 in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.078 * [taylor]: Taking taylor expansion of im in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.083 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of 1 in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.099 * * * [progress]: simplifying candidates 0.100 * [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)) 0.102 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.111 * * [simplify]: iteration 1 : 125 enodes (cost 347 ) 0.137 * * [simplify]: iteration 2 : 438 enodes (cost 295 ) 0.333 * * [simplify]: iteration 3 : 1621 enodes (cost 295 ) 1.160 * * [simplify]: iteration done : 5000 enodes (cost 295 ) 1.160 * [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)) 1.160 * * * [progress]: adding candidates to table 1.234 * * [progress]: iteration 2 / 4 1.234 * * * [progress]: picking best candidate 1.239 * * * * [pick]: Picked # 1.239 * * * [progress]: localizing error 1.248 * * * [progress]: generating rewritten candidates 1.248 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.252 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.255 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.259 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.263 * * * [progress]: generating series expansions 1.263 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.263 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.263 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.263 * [taylor]: Taking taylor expansion of re in im 1.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.263 * [taylor]: Taking taylor expansion of im in im 1.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.264 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.264 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.264 * [taylor]: Taking taylor expansion of re in re 1.264 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.264 * [taylor]: Taking taylor expansion of im in re 1.265 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.265 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.265 * [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 im in im 1.265 * [taylor]: Taking taylor expansion of 0 in im 1.266 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.266 * [taylor]: Taking taylor expansion of 1/2 in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.268 * [taylor]: Taking taylor expansion of 0 in im 1.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.269 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.269 * [taylor]: Taking taylor expansion of im in im 1.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.270 * [taylor]: Taking taylor expansion of re in im 1.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.272 * [taylor]: Taking taylor expansion of im in re 1.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.272 * [taylor]: Taking taylor expansion of re in re 1.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.274 * [taylor]: Taking taylor expansion of im in re 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.275 * [taylor]: Taking taylor expansion of re in re 1.277 * [taylor]: Taking taylor expansion of 1 in im 1.277 * [taylor]: Taking taylor expansion of 0 in im 1.279 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.279 * [taylor]: Taking taylor expansion of 1/2 in im 1.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.279 * [taylor]: Taking taylor expansion of im in im 1.282 * [taylor]: Taking taylor expansion of 0 in im 1.283 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.284 * [taylor]: Taking taylor expansion of im in im 1.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.284 * [taylor]: Taking taylor expansion of re in im 1.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.286 * [taylor]: Taking taylor expansion of im in re 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.286 * [taylor]: Taking taylor expansion of re in re 1.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.289 * [taylor]: Taking taylor expansion of im in re 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.289 * [taylor]: Taking taylor expansion of re in re 1.295 * [taylor]: Taking taylor expansion of 1 in im 1.295 * [taylor]: Taking taylor expansion of 0 in im 1.297 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.297 * [taylor]: Taking taylor expansion of 1/2 in im 1.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.300 * [taylor]: Taking taylor expansion of 0 in im 1.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.301 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.301 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.301 * [taylor]: Taking taylor expansion of re in im 1.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.301 * [taylor]: Taking taylor expansion of im in im 1.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.302 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.302 * [taylor]: Taking taylor expansion of re in re 1.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.302 * [taylor]: Taking taylor expansion of im in re 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.303 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.303 * [taylor]: Taking taylor expansion of im in im 1.303 * [taylor]: Taking taylor expansion of 0 in im 1.304 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.304 * [taylor]: Taking taylor expansion of 1/2 in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.306 * [taylor]: Taking taylor expansion of 0 in im 1.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.308 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.308 * [taylor]: Taking taylor expansion of re in im 1.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.310 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.310 * [taylor]: Taking taylor expansion of im in re 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.310 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.310 * [taylor]: Taking taylor expansion of re in re 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.312 * [taylor]: Taking taylor expansion of im in re 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.313 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.313 * [taylor]: Taking taylor expansion of re in re 1.315 * [taylor]: Taking taylor expansion of 1 in im 1.315 * [taylor]: Taking taylor expansion of 0 in im 1.317 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.317 * [taylor]: Taking taylor expansion of 1/2 in im 1.317 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.317 * [taylor]: Taking taylor expansion of im in im 1.320 * [taylor]: Taking taylor expansion of 0 in im 1.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 1.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.322 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.322 * [taylor]: Taking taylor expansion of re in im 1.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.324 * [taylor]: Taking taylor expansion of im in re 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.324 * [taylor]: Taking taylor expansion of re in re 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.326 * [taylor]: Taking taylor expansion of im in re 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.329 * [taylor]: Taking taylor expansion of 1 in im 1.329 * [taylor]: Taking taylor expansion of 0 in im 1.331 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.331 * [taylor]: Taking taylor expansion of 1/2 in im 1.331 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.331 * [taylor]: Taking taylor expansion of im in im 1.334 * [taylor]: Taking taylor expansion of 0 in im 1.335 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.336 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.336 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.336 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.336 * [taylor]: Taking taylor expansion of re in im 1.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.336 * [taylor]: Taking taylor expansion of im in im 1.336 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.336 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 1.336 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.336 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.337 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.337 * [taylor]: Taking taylor expansion of re in re 1.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.337 * [taylor]: Taking taylor expansion of im in re 1.337 * [taylor]: Taking taylor expansion of im in im 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.339 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.339 * [taylor]: Taking taylor expansion of 1/2 in im 1.339 * [taylor]: Taking taylor expansion of im in im 1.341 * [taylor]: Taking taylor expansion of 0 in im 1.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.342 * [taylor]: Taking taylor expansion of re in im 1.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.344 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.344 * [taylor]: Taking taylor expansion of im in re 1.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.344 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.344 * [taylor]: Taking taylor expansion of re in re 1.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.347 * [taylor]: Taking taylor expansion of im in re 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.347 * [taylor]: Taking taylor expansion of re in re 1.349 * [taylor]: Taking taylor expansion of 1 in im 1.349 * [taylor]: Taking taylor expansion of 0 in im 1.351 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.351 * [taylor]: Taking taylor expansion of 1/2 in im 1.351 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.351 * [taylor]: Taking taylor expansion of im in im 1.354 * [taylor]: Taking taylor expansion of 0 in im 1.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.356 * [taylor]: Taking taylor expansion of im in im 1.356 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.356 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.356 * [taylor]: Taking taylor expansion of re in im 1.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.358 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.358 * [taylor]: Taking taylor expansion of im in re 1.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.358 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.358 * [taylor]: Taking taylor expansion of re in re 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.361 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.361 * [taylor]: Taking taylor expansion of im in re 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.361 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.361 * [taylor]: Taking taylor expansion of re in re 1.363 * [taylor]: Taking taylor expansion of 1 in im 1.363 * [taylor]: Taking taylor expansion of 0 in im 1.365 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.365 * [taylor]: Taking taylor expansion of 1/2 in im 1.365 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.365 * [taylor]: Taking taylor expansion of im in im 1.368 * [taylor]: Taking taylor expansion of 0 in im 1.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.370 * [approximate]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in (re im) around 0 1.370 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in im 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in im 1.370 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in im 1.370 * [taylor]: Taking taylor expansion of 1/6 in im 1.370 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.370 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.370 * [taylor]: Taking taylor expansion of im in im 1.370 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 1.370 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 1.370 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 1.370 * [taylor]: Taking taylor expansion of 1/6 in re 1.370 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.370 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/6) in re 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow re 2) (pow im 2))))) in re 1.371 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow re 2) (pow im 2)))) in re 1.371 * [taylor]: Taking taylor expansion of 1/6 in re 1.371 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.371 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.371 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/6) in im 1.371 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow im 2)))) in im 1.371 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow im 2))) in im 1.371 * [taylor]: Taking taylor expansion of 1/6 in im 1.371 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 1.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.371 * [taylor]: Taking taylor expansion of im in im 1.374 * [taylor]: Taking taylor expansion of 0 in im 1.384 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.384 * [taylor]: Taking taylor expansion of 1/6 in im 1.384 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.384 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.384 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.384 * [taylor]: Taking taylor expansion of 1/3 in im 1.384 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.384 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.384 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of 0 in im 1.403 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 1.403 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 1.403 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.403 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.403 * [taylor]: Taking taylor expansion of 1/6 in im 1.403 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.404 * [taylor]: Taking taylor expansion of re in im 1.405 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.405 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.405 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.405 * [taylor]: Taking taylor expansion of 1/6 in re 1.405 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.405 * [taylor]: Taking taylor expansion of im in re 1.405 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.405 * [taylor]: Taking taylor expansion of re in re 1.406 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.406 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.406 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.406 * [taylor]: Taking taylor expansion of 1/6 in re 1.406 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.407 * [taylor]: Taking taylor expansion of im in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.408 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.408 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.408 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.408 * [taylor]: Taking taylor expansion of -1/3 in im 1.408 * [taylor]: Taking taylor expansion of (log re) in im 1.408 * [taylor]: Taking taylor expansion of re in im 1.411 * [taylor]: Taking taylor expansion of 0 in im 1.416 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.416 * [taylor]: Taking taylor expansion of 1/6 in im 1.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.416 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.416 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.416 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.416 * [taylor]: Taking taylor expansion of 1/3 in im 1.416 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.416 * [taylor]: Taking taylor expansion of re in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.416 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.431 * [taylor]: Taking taylor expansion of 0 in im 1.431 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in (re im) around 0 1.431 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in im 1.431 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.431 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.431 * [taylor]: Taking taylor expansion of 1/6 in im 1.431 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.432 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.432 * [taylor]: Taking taylor expansion of re in im 1.433 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.433 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.433 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.433 * [taylor]: Taking taylor expansion of 1/6 in re 1.433 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.433 * [taylor]: Taking taylor expansion of im in re 1.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.435 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/6) in re 1.435 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.435 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.435 * [taylor]: Taking taylor expansion of 1/6 in re 1.435 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.435 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.435 * [taylor]: Taking taylor expansion of im in re 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.435 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.435 * [taylor]: Taking taylor expansion of re in re 1.436 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.436 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.436 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.436 * [taylor]: Taking taylor expansion of -1/3 in im 1.436 * [taylor]: Taking taylor expansion of (log re) in im 1.436 * [taylor]: Taking taylor expansion of re in im 1.439 * [taylor]: Taking taylor expansion of 0 in im 1.444 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.444 * [taylor]: Taking taylor expansion of 1/6 in im 1.444 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.444 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.444 * [taylor]: Taking taylor expansion of 1/3 in im 1.444 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.444 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.444 * [taylor]: Taking taylor expansion of re in im 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.444 * [taylor]: Taking taylor expansion of im in im 1.460 * [taylor]: Taking taylor expansion of 0 in im 1.460 * * * [progress]: simplifying candidates 1.461 * [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) 1.469 * * [simplify]: iteration 0 : 70 enodes (cost 952 ) 1.482 * * [simplify]: iteration 1 : 149 enodes (cost 853 ) 1.509 * * [simplify]: iteration 2 : 366 enodes (cost 761 ) 1.809 * * [simplify]: iteration 3 : 944 enodes (cost 750 ) 2.438 * * [simplify]: iteration 4 : 3187 enodes (cost 750 ) 3.188 * * [simplify]: iteration done : 5000 enodes (cost 750 ) 3.189 * [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) 3.189 * * * [progress]: adding candidates to table 3.378 * * [progress]: iteration 3 / 4 3.378 * * * [progress]: picking best candidate 3.383 * * * * [pick]: Picked # 3.383 * * * [progress]: localizing error 3.398 * * * [progress]: generating rewritten candidates 3.398 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 3.402 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 3.405 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) 3.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.414 * * * [progress]: generating series expansions 3.414 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 3.414 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.414 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.414 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.414 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.414 * [taylor]: Taking taylor expansion of re in im 3.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.414 * [taylor]: Taking taylor expansion of im in im 3.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.415 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.415 * [taylor]: Taking taylor expansion of re in re 3.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.415 * [taylor]: Taking taylor expansion of im in re 3.415 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.415 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.415 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.415 * [taylor]: Taking taylor expansion of re in re 3.415 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.415 * [taylor]: Taking taylor expansion of im in re 3.419 * [taylor]: Taking taylor expansion of im in im 3.419 * [taylor]: Taking taylor expansion of 0 in im 3.420 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.420 * [taylor]: Taking taylor expansion of 1/2 in im 3.420 * [taylor]: Taking taylor expansion of im in im 3.422 * [taylor]: Taking taylor expansion of 0 in im 3.423 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.423 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.423 * [taylor]: Taking taylor expansion of im in im 3.423 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.423 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.423 * [taylor]: Taking taylor expansion of re in im 3.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.425 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.425 * [taylor]: Taking taylor expansion of im in re 3.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.426 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.426 * [taylor]: Taking taylor expansion of re in re 3.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.428 * [taylor]: Taking taylor expansion of im in re 3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.428 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.428 * [taylor]: Taking taylor expansion of re in re 3.430 * [taylor]: Taking taylor expansion of 1 in im 3.430 * [taylor]: Taking taylor expansion of 0 in im 3.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.432 * [taylor]: Taking taylor expansion of 1/2 in im 3.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.432 * [taylor]: Taking taylor expansion of im in im 3.436 * [taylor]: Taking taylor expansion of 0 in im 3.437 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.437 * [taylor]: Taking taylor expansion of im in im 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.437 * [taylor]: Taking taylor expansion of re in im 3.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.439 * [taylor]: Taking taylor expansion of im in re 3.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.440 * [taylor]: Taking taylor expansion of re in re 3.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.442 * [taylor]: Taking taylor expansion of im in re 3.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.442 * [taylor]: Taking taylor expansion of re in re 3.444 * [taylor]: Taking taylor expansion of 1 in im 3.444 * [taylor]: Taking taylor expansion of 0 in im 3.447 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.447 * [taylor]: Taking taylor expansion of 1/2 in im 3.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.447 * [taylor]: Taking taylor expansion of im in im 3.450 * [taylor]: Taking taylor expansion of 0 in im 3.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 3.451 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.451 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.451 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.451 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.451 * [taylor]: Taking taylor expansion of re in im 3.451 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.451 * [taylor]: Taking taylor expansion of im in im 3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.452 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.452 * [taylor]: Taking taylor expansion of re in re 3.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.452 * [taylor]: Taking taylor expansion of im in re 3.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.452 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.452 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.452 * [taylor]: Taking taylor expansion of re in re 3.452 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.452 * [taylor]: Taking taylor expansion of im in re 3.453 * [taylor]: Taking taylor expansion of im in im 3.453 * [taylor]: Taking taylor expansion of 0 in im 3.455 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.455 * [taylor]: Taking taylor expansion of 1/2 in im 3.455 * [taylor]: Taking taylor expansion of im in im 3.456 * [taylor]: Taking taylor expansion of 0 in im 3.457 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.457 * [taylor]: Taking taylor expansion of im in im 3.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.458 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.458 * [taylor]: Taking taylor expansion of re in im 3.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.460 * [taylor]: Taking taylor expansion of im in re 3.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.460 * [taylor]: Taking taylor expansion of re in re 3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.463 * [taylor]: Taking taylor expansion of im in re 3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.463 * [taylor]: Taking taylor expansion of re in re 3.465 * [taylor]: Taking taylor expansion of 1 in im 3.465 * [taylor]: Taking taylor expansion of 0 in im 3.467 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.467 * [taylor]: Taking taylor expansion of 1/2 in im 3.467 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.467 * [taylor]: Taking taylor expansion of im in im 3.471 * [taylor]: Taking taylor expansion of 0 in im 3.472 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.472 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.472 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.472 * [taylor]: Taking taylor expansion of im in im 3.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.472 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.472 * [taylor]: Taking taylor expansion of re in im 3.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.474 * [taylor]: Taking taylor expansion of im in re 3.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.475 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.475 * [taylor]: Taking taylor expansion of re in re 3.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.477 * [taylor]: Taking taylor expansion of im in re 3.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.477 * [taylor]: Taking taylor expansion of re in re 3.479 * [taylor]: Taking taylor expansion of 1 in im 3.480 * [taylor]: Taking taylor expansion of 0 in im 3.481 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.481 * [taylor]: Taking taylor expansion of 1/2 in im 3.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.481 * [taylor]: Taking taylor expansion of im in im 3.485 * [taylor]: Taking taylor expansion of 0 in im 3.486 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1) 3.486 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.486 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.486 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.486 * [taylor]: Taking taylor expansion of re in im 3.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.486 * [taylor]: Taking taylor expansion of im in im 3.486 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.487 * [taylor]: Taking taylor expansion of re in re 3.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.487 * [taylor]: Taking taylor expansion of im in re 3.487 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.487 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.487 * [taylor]: Taking taylor expansion of re in re 3.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.487 * [taylor]: Taking taylor expansion of im in re 3.488 * [taylor]: Taking taylor expansion of im in im 3.488 * [taylor]: Taking taylor expansion of 0 in im 3.489 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.489 * [taylor]: Taking taylor expansion of 1/2 in im 3.489 * [taylor]: Taking taylor expansion of im in im 3.491 * [taylor]: Taking taylor expansion of 0 in im 3.492 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.492 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.492 * [taylor]: Taking taylor expansion of im in im 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.492 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.492 * [taylor]: Taking taylor expansion of re in im 3.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.494 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.494 * [taylor]: Taking taylor expansion of im in re 3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.495 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.495 * [taylor]: Taking taylor expansion of re in re 3.497 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.497 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.497 * [taylor]: Taking taylor expansion of im in re 3.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.497 * [taylor]: Taking taylor expansion of re in re 3.500 * [taylor]: Taking taylor expansion of 1 in im 3.500 * [taylor]: Taking taylor expansion of 0 in im 3.504 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.504 * [taylor]: Taking taylor expansion of 1/2 in im 3.504 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.504 * [taylor]: Taking taylor expansion of im in im 3.508 * [taylor]: Taking taylor expansion of 0 in im 3.509 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.509 * [taylor]: Taking taylor expansion of im in im 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.509 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.509 * [taylor]: Taking taylor expansion of re in im 3.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.511 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.511 * [taylor]: Taking taylor expansion of im in re 3.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.512 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.512 * [taylor]: Taking taylor expansion of re in re 3.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.514 * [taylor]: Taking taylor expansion of im in re 3.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.514 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.514 * [taylor]: Taking taylor expansion of re in re 3.517 * [taylor]: Taking taylor expansion of 1 in im 3.517 * [taylor]: Taking taylor expansion of 0 in im 3.519 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.519 * [taylor]: Taking taylor expansion of 1/2 in im 3.519 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.519 * [taylor]: Taking taylor expansion of im in im 3.522 * [taylor]: Taking taylor expansion of 0 in im 3.523 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.523 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.523 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.523 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.523 * [taylor]: Taking taylor expansion of re in im 3.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.523 * [taylor]: Taking taylor expansion of im in im 3.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.524 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.524 * [taylor]: Taking taylor expansion of re in re 3.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.524 * [taylor]: Taking taylor expansion of im in re 3.524 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.524 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.524 * [taylor]: Taking taylor expansion of re in re 3.525 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.525 * [taylor]: Taking taylor expansion of im in re 3.525 * [taylor]: Taking taylor expansion of im in im 3.525 * [taylor]: Taking taylor expansion of 0 in im 3.526 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.526 * [taylor]: Taking taylor expansion of 1/2 in im 3.526 * [taylor]: Taking taylor expansion of im in im 3.528 * [taylor]: Taking taylor expansion of 0 in im 3.529 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.529 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.529 * [taylor]: Taking taylor expansion of im in im 3.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.530 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.530 * [taylor]: Taking taylor expansion of re in im 3.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.532 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.532 * [taylor]: Taking taylor expansion of im in re 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.532 * [taylor]: Taking taylor expansion of re in re 3.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.534 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.534 * [taylor]: Taking taylor expansion of im in re 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.534 * [taylor]: Taking taylor expansion of re in re 3.537 * [taylor]: Taking taylor expansion of 1 in im 3.537 * [taylor]: Taking taylor expansion of 0 in im 3.539 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.539 * [taylor]: Taking taylor expansion of 1/2 in im 3.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.539 * [taylor]: Taking taylor expansion of im in im 3.542 * [taylor]: Taking taylor expansion of 0 in im 3.543 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.543 * [taylor]: Taking taylor expansion of im in im 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.544 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.544 * [taylor]: Taking taylor expansion of re in im 3.546 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.546 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.546 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.546 * [taylor]: Taking taylor expansion of im in re 3.546 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.546 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.546 * [taylor]: Taking taylor expansion of re in re 3.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.549 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.549 * [taylor]: Taking taylor expansion of im in re 3.549 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.549 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.549 * [taylor]: Taking taylor expansion of re in re 3.551 * [taylor]: Taking taylor expansion of 1 in im 3.551 * [taylor]: Taking taylor expansion of 0 in im 3.553 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.553 * [taylor]: Taking taylor expansion of 1/2 in im 3.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.553 * [taylor]: Taking taylor expansion of im in im 3.556 * [taylor]: Taking taylor expansion of 0 in im 3.557 * * * [progress]: simplifying candidates 3.558 * [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) 3.561 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 3.567 * * [simplify]: iteration 1 : 91 enodes (cost 744 ) 3.584 * * [simplify]: iteration 2 : 207 enodes (cost 680 ) 3.630 * * [simplify]: iteration 3 : 459 enodes (cost 656 ) 3.740 * * [simplify]: iteration 4 : 1009 enodes (cost 656 ) 4.188 * * [simplify]: iteration 5 : 2577 enodes (cost 656 ) 5.124 * * [simplify]: iteration done : 5000 enodes (cost 656 ) 5.125 * [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) 5.125 * * * [progress]: adding candidates to table 5.363 * * [progress]: iteration 4 / 4 5.364 * * * [progress]: picking best candidate 5.366 * * * * [pick]: Picked # 5.366 * * * [progress]: localizing error 5.367 * * * [progress]: generating rewritten candidates 5.367 * * * [progress]: generating series expansions 5.367 * * * [progress]: simplifying candidates 5.367 * [simplify]: Simplifying using # : 5.368 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.368 * * [simplify]: iteration done : 0 enodes (cost 0 ) 5.368 * [simplify]: Simplified to: 5.368 * * * [progress]: adding candidates to table 5.368 * [progress]: [Phase 3 of 3] Extracting. 5.368 * * [regime]: Finding splitpoints for: (# # # # #) 5.369 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 5.369 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 5.390 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 5.407 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 5.426 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 5.442 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 5.463 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 5.474 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 5.497 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 5.511 * * * * [regimes]: Trying to branch on im from (# # # # #) 5.544 * * * * [regimes]: Trying to branch on re from (# # # # #) 5.572 * * * [regime]: Found split indices: #