26.653 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.055 * * * [progress]: [2/2] Setting up program.
0.062 * [progress]: [Phase 2 of 3] Improving.
0.062 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.062 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.062 * * [simplify]: iteration 0: 12 enodes
0.067 * * [simplify]: iteration 1: 22 enodes
0.073 * * [simplify]: iteration 2: 24 enodes
0.080 * * [simplify]: iteration complete: 24 enodes
0.080 * * [simplify]: Extracting #0: cost 1 inf + 0
0.080 * * [simplify]: Extracting #1: cost 3 inf + 0
0.080 * * [simplify]: Extracting #2: cost 3 inf + 1
0.080 * * [simplify]: Extracting #3: cost 7 inf + 1
0.080 * * [simplify]: Extracting #4: cost 8 inf + 2
0.080 * * [simplify]: Extracting #5: cost 8 inf + 3
0.080 * * [simplify]: Extracting #6: cost 9 inf + 45
0.080 * * [simplify]: Extracting #7: cost 9 inf + 86
0.080 * * [simplify]: Extracting #8: cost 7 inf + 128
0.080 * * [simplify]: Extracting #9: cost 5 inf + 412
0.081 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.081 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.082 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.083 * * [progress]: iteration 1 / 4
0.083 * * * [progress]: picking best candidate
0.089 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.089 * * * [progress]: localizing error
0.135 * * * [progress]: generating rewritten candidates
0.135 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.143 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.183 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.211 * * * [progress]: generating series expansions
0.211 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.211 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.211 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.211 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.211 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.211 * [taylor]: Taking taylor expansion of im in im
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.211 * [taylor]: Taking taylor expansion of re in im
0.211 * [backup-simplify]: Simplify re into re
0.211 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.211 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.211 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.211 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.212 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.212 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.212 * [taylor]: Taking taylor expansion of im in re
0.212 * [backup-simplify]: Simplify im into im
0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.212 * [taylor]: Taking taylor expansion of re in re
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.212 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.212 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.213 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.213 * [taylor]: Taking taylor expansion of im in re
0.213 * [backup-simplify]: Simplify im into im
0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.213 * [taylor]: Taking taylor expansion of re in re
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.213 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.214 * [taylor]: Taking taylor expansion of im in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [taylor]: Taking taylor expansion of 0 in im
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.215 * [backup-simplify]: Simplify (* 1 1) into 1
0.215 * [backup-simplify]: Simplify (+ 0 1) into 1
0.216 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.216 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.216 * [taylor]: Taking taylor expansion of 1/2 in im
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
0.216 * [taylor]: Taking taylor expansion of im in im
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.220 * [taylor]: Taking taylor expansion of 0 in im
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.222 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.222 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.222 * [taylor]: Taking taylor expansion of re in im
0.222 * [backup-simplify]: Simplify re into re
0.222 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.222 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.222 * [taylor]: Taking taylor expansion of im in im
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.223 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [backup-simplify]: Simplify (+ 0 1) into 1
0.224 * [backup-simplify]: Simplify (sqrt 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.227 * [taylor]: Taking taylor expansion of re in re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* 1 1) into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.228 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.228 * [taylor]: Taking taylor expansion of im in re
0.228 * [backup-simplify]: Simplify im into im
0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.228 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.229 * [backup-simplify]: Simplify (+ 1 0) into 1
0.229 * [backup-simplify]: Simplify (sqrt 1) into 1
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.232 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.232 * [taylor]: Taking taylor expansion of re in re
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.233 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.233 * [taylor]: Taking taylor expansion of im in re
0.233 * [backup-simplify]: Simplify im into im
0.233 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.233 * [backup-simplify]: Simplify (+ 1 0) into 1
0.234 * [backup-simplify]: Simplify (sqrt 1) into 1
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.237 * [taylor]: Taking taylor expansion of 1 in im
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [taylor]: Taking taylor expansion of 0 in im
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.240 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.240 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.240 * [taylor]: Taking taylor expansion of 1/2 in im
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.240 * [taylor]: Taking taylor expansion of im in im
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.247 * [taylor]: Taking taylor expansion of 0 in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.250 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.250 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.250 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.250 * [taylor]: Taking taylor expansion of re in im
0.250 * [backup-simplify]: Simplify re into re
0.250 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.250 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.250 * [taylor]: Taking taylor expansion of im in im
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.251 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ 0 1) into 1
0.252 * [backup-simplify]: Simplify (sqrt 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.255 * [taylor]: Taking taylor expansion of re in re
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.255 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.256 * [taylor]: Taking taylor expansion of im in re
0.256 * [backup-simplify]: Simplify im into im
0.256 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.256 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.256 * [backup-simplify]: Simplify (+ 1 0) into 1
0.257 * [backup-simplify]: Simplify (sqrt 1) into 1
0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.259 * [taylor]: Taking taylor expansion of re in re
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.260 * [taylor]: Taking taylor expansion of im in re
0.260 * [backup-simplify]: Simplify im into im
0.260 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.261 * [backup-simplify]: Simplify (+ 1 0) into 1
0.261 * [backup-simplify]: Simplify (sqrt 1) into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [taylor]: Taking taylor expansion of 1 in im
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [taylor]: Taking taylor expansion of 0 in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.268 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.268 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.268 * [taylor]: Taking taylor expansion of 1/2 in im
0.268 * [backup-simplify]: Simplify 1/2 into 1/2
0.268 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.268 * [taylor]: Taking taylor expansion of im in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in im
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.276 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.277 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.277 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.277 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.277 * [taylor]: Taking taylor expansion of re in im
0.277 * [backup-simplify]: Simplify re into re
0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.277 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.277 * [taylor]: Taking taylor expansion of im in im
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.277 * [taylor]: Taking taylor expansion of re in im
0.277 * [backup-simplify]: Simplify re into re
0.277 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.277 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.277 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.277 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.278 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.278 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.278 * [taylor]: Taking taylor expansion of re in re
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.278 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.278 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.278 * [taylor]: Taking taylor expansion of im in re
0.278 * [backup-simplify]: Simplify im into im
0.278 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.278 * [taylor]: Taking taylor expansion of re in re
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.278 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.279 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.279 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.279 * [taylor]: Taking taylor expansion of re in re
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.279 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.279 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.279 * [taylor]: Taking taylor expansion of im in re
0.279 * [backup-simplify]: Simplify im into im
0.280 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.280 * [taylor]: Taking taylor expansion of re in re
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.280 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.280 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 im) into im
0.281 * [taylor]: Taking taylor expansion of im in im
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [taylor]: Taking taylor expansion of 1 in im
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.283 * [backup-simplify]: Simplify (+ 0 1) into 1
0.284 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.284 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.284 * [taylor]: Taking taylor expansion of 1/2 in im
0.284 * [backup-simplify]: Simplify 1/2 into 1/2
0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.284 * [taylor]: Taking taylor expansion of im in im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [taylor]: Taking taylor expansion of 0 in im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.292 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
0.292 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.292 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.292 * [taylor]: Taking taylor expansion of re in im
0.292 * [backup-simplify]: Simplify re into re
0.292 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.292 * [taylor]: Taking taylor expansion of re in im
0.292 * [backup-simplify]: Simplify re into re
0.292 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.292 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.292 * [taylor]: Taking taylor expansion of im in im
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.294 * [backup-simplify]: Simplify (+ 0 1) into 1
0.294 * [backup-simplify]: Simplify (sqrt 1) into 1
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ 0 0) into 0
0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.295 * [taylor]: Taking taylor expansion of re in re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.296 * [taylor]: Taking taylor expansion of re in re
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.296 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.296 * [taylor]: Taking taylor expansion of im in re
0.296 * [backup-simplify]: Simplify im into im
0.296 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.297 * [backup-simplify]: Simplify (+ 1 0) into 1
0.297 * [backup-simplify]: Simplify (sqrt 1) into 1
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.298 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.299 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.299 * [taylor]: Taking taylor expansion of re in re
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.299 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.299 * [taylor]: Taking taylor expansion of im in re
0.299 * [backup-simplify]: Simplify im into im
0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.300 * [backup-simplify]: Simplify (+ 1 0) into 1
0.300 * [backup-simplify]: Simplify (sqrt 1) into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.302 * [backup-simplify]: Simplify (+ 1 1) into 2
0.302 * [taylor]: Taking taylor expansion of 2 in im
0.302 * [backup-simplify]: Simplify 2 into 2
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [taylor]: Taking taylor expansion of 0 in im
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 2 into 2
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.305 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.305 * [taylor]: Taking taylor expansion of 1/2 in im
0.305 * [backup-simplify]: Simplify 1/2 into 1/2
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.305 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.305 * [taylor]: Taking taylor expansion of im in im
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.312 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
0.312 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.312 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.312 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.312 * [taylor]: Taking taylor expansion of re in im
0.312 * [backup-simplify]: Simplify re into re
0.312 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.312 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.312 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.312 * [taylor]: Taking taylor expansion of im in im
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.315 * [backup-simplify]: Simplify (+ 0 1) into 1
0.315 * [backup-simplify]: Simplify (sqrt 1) into 1
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.316 * [taylor]: Taking taylor expansion of re in im
0.316 * [backup-simplify]: Simplify re into re
0.317 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.317 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.317 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.317 * [taylor]: Taking taylor expansion of re in re
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.317 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.317 * [taylor]: Taking taylor expansion of im in re
0.317 * [backup-simplify]: Simplify im into im
0.317 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.318 * [backup-simplify]: Simplify (+ 1 0) into 1
0.318 * [backup-simplify]: Simplify (sqrt 1) into 1
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.320 * [taylor]: Taking taylor expansion of re in re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.320 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.320 * [taylor]: Taking taylor expansion of im in re
0.320 * [backup-simplify]: Simplify im into im
0.320 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.320 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.321 * [backup-simplify]: Simplify (+ 1 0) into 1
0.321 * [backup-simplify]: Simplify (sqrt 1) into 1
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.323 * [taylor]: Taking taylor expansion of re in re
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (- 1) into -1
0.324 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in im
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- 0) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [taylor]: Taking taylor expansion of 0 in im
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.329 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.331 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.331 * [taylor]: Taking taylor expansion of 1/2 in im
0.331 * [backup-simplify]: Simplify 1/2 into 1/2
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.331 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.331 * [taylor]: Taking taylor expansion of im in im
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [taylor]: Taking taylor expansion of 0 in im
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.343 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
0.344 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.344 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.344 * [taylor]: Taking taylor expansion of 2.0 in im
0.344 * [backup-simplify]: Simplify 2.0 into 2.0
0.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.345 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.345 * [taylor]: Taking taylor expansion of re in im
0.345 * [backup-simplify]: Simplify re into re
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.345 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.345 * [taylor]: Taking taylor expansion of im in im
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 1 into 1
0.345 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.345 * [taylor]: Taking taylor expansion of re in im
0.345 * [backup-simplify]: Simplify re into re
0.345 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.345 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.345 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.346 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.346 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.346 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.347 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.347 * [taylor]: Taking taylor expansion of 2.0 in re
0.347 * [backup-simplify]: Simplify 2.0 into 2.0
0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.348 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.348 * [taylor]: Taking taylor expansion of re in re
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.348 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.348 * [taylor]: Taking taylor expansion of im in re
0.348 * [backup-simplify]: Simplify im into im
0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.348 * [taylor]: Taking taylor expansion of re in re
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.349 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.349 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.349 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 im) into im
0.350 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.350 * [backup-simplify]: Simplify (+ 1 0) into 1
0.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.350 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.350 * [taylor]: Taking taylor expansion of 2.0 in re
0.350 * [backup-simplify]: Simplify 2.0 into 2.0
0.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.351 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.351 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.351 * [taylor]: Taking taylor expansion of re in re
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.352 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.352 * [taylor]: Taking taylor expansion of im in re
0.352 * [backup-simplify]: Simplify im into im
0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.352 * [taylor]: Taking taylor expansion of re in re
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.352 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.352 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.353 * [backup-simplify]: Simplify (+ 0 0) into 0
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.353 * [backup-simplify]: Simplify (+ 0 im) into im
0.353 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.353 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.354 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.354 * [taylor]: Taking taylor expansion of 2.0 in im
0.354 * [backup-simplify]: Simplify 2.0 into 2.0
0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.355 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.355 * [taylor]: Taking taylor expansion of im in im
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (sqrt 0) into 0
0.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.358 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.358 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.358 * [taylor]: Taking taylor expansion of 1/2 in im
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.359 * [taylor]: Taking taylor expansion of 2.0 in im
0.359 * [backup-simplify]: Simplify 2.0 into 2.0
0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.360 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.360 * [taylor]: Taking taylor expansion of im in im
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify (sqrt 0) into 0
0.362 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.364 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.364 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.368 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.370 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.374 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.375 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.375 * [backup-simplify]: Simplify (+ 0 1) into 1
0.376 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.376 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.377 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
0.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.379 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
0.379 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.379 * [taylor]: Taking taylor expansion of 1/8 in im
0.379 * [backup-simplify]: Simplify 1/8 into 1/8
0.379 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.380 * [taylor]: Taking taylor expansion of 2.0 in im
0.380 * [backup-simplify]: Simplify 2.0 into 2.0
0.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.381 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.381 * [taylor]: Taking taylor expansion of im in im
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify 1 into 1
0.381 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (/ 1 1) into 1
0.382 * [backup-simplify]: Simplify (sqrt 0) into 0
0.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.390 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.393 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.395 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.395 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.398 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.399 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.402 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
0.402 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
0.402 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
0.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.402 * [taylor]: Taking taylor expansion of 2.0 in im
0.402 * [backup-simplify]: Simplify 2.0 into 2.0
0.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.403 * [taylor]: Taking taylor expansion of re in im
0.403 * [backup-simplify]: Simplify re into re
0.403 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.403 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.403 * [taylor]: Taking taylor expansion of re in im
0.403 * [backup-simplify]: Simplify re into re
0.403 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.403 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.403 * [taylor]: Taking taylor expansion of im in im
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (+ 0 1) into 1
0.404 * [backup-simplify]: Simplify (sqrt 1) into 1
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 1) into 1
0.406 * [backup-simplify]: Simplify (sqrt 0) into 0
0.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.407 * [taylor]: Taking taylor expansion of 2.0 in re
0.407 * [backup-simplify]: Simplify 2.0 into 2.0
0.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.408 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.408 * [taylor]: Taking taylor expansion of re in re
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (/ 1 1) into 1
0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.408 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.408 * [taylor]: Taking taylor expansion of re in re
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (* 1 1) into 1
0.409 * [backup-simplify]: Simplify (/ 1 1) into 1
0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.409 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.409 * [taylor]: Taking taylor expansion of im in re
0.409 * [backup-simplify]: Simplify im into im
0.409 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.409 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.409 * [backup-simplify]: Simplify (+ 1 0) into 1
0.409 * [backup-simplify]: Simplify (sqrt 1) into 1
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.411 * [backup-simplify]: Simplify (+ 1 1) into 2
0.411 * [backup-simplify]: Simplify (sqrt 0) into 0
0.412 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.412 * [taylor]: Taking taylor expansion of 2.0 in re
0.412 * [backup-simplify]: Simplify 2.0 into 2.0
0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.413 * [taylor]: Taking taylor expansion of re in re
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.413 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.413 * [taylor]: Taking taylor expansion of re in re
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.414 * [backup-simplify]: Simplify (/ 1 1) into 1
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.414 * [taylor]: Taking taylor expansion of im in re
0.414 * [backup-simplify]: Simplify im into im
0.414 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.414 * [backup-simplify]: Simplify (+ 1 0) into 1
0.414 * [backup-simplify]: Simplify (sqrt 1) into 1
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.416 * [backup-simplify]: Simplify (+ 1 1) into 2
0.416 * [backup-simplify]: Simplify (sqrt 0) into 0
0.417 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.418 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.418 * [taylor]: Taking taylor expansion of 0 in im
0.418 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.419 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.419 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.419 * [taylor]: Taking taylor expansion of +nan.0 in im
0.419 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.419 * [taylor]: Taking taylor expansion of 2.0 in im
0.419 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ 0 0) into 0
0.422 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.424 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.424 * [taylor]: Taking taylor expansion of +nan.0 in im
0.424 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.424 * [taylor]: Taking taylor expansion of 2.0 in im
0.424 * [backup-simplify]: Simplify 2.0 into 2.0
0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.426 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.427 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.429 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.429 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.435 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.436 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.438 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.441 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.441 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.441 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.441 * [taylor]: Taking taylor expansion of +nan.0 in im
0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.441 * [taylor]: Taking taylor expansion of 2.0 in im
0.441 * [backup-simplify]: Simplify 2.0 into 2.0
0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.442 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.442 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.442 * [taylor]: Taking taylor expansion of +nan.0 in im
0.442 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.442 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.442 * [taylor]: Taking taylor expansion of 2.0 in im
0.442 * [backup-simplify]: Simplify 2.0 into 2.0
0.443 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.443 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.444 * [taylor]: Taking taylor expansion of im in im
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (* 1 1) into 1
0.445 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.448 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.448 * [backup-simplify]: Simplify (- 0) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [backup-simplify]: Simplify (- 0) into 0
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.452 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.453 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.454 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.455 * [backup-simplify]: Simplify (- 0) into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 0 into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.459 * [backup-simplify]: Simplify (+ 0 0) into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.461 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
0.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
0.465 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.465 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.465 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.465 * [taylor]: Taking taylor expansion of +nan.0 in im
0.465 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.465 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.465 * [taylor]: Taking taylor expansion of 2.0 in im
0.465 * [backup-simplify]: Simplify 2.0 into 2.0
0.465 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.466 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.466 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.466 * [taylor]: Taking taylor expansion of +nan.0 in im
0.466 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.466 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.466 * [taylor]: Taking taylor expansion of 2.0 in im
0.466 * [backup-simplify]: Simplify 2.0 into 2.0
0.467 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.468 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.468 * [taylor]: Taking taylor expansion of im in im
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [backup-simplify]: Simplify (* 1 1) into 1
0.469 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.472 * [backup-simplify]: Simplify (- 0) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [backup-simplify]: Simplify (- 0) into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.479 * [backup-simplify]: Simplify (- 0) into 0
0.480 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.483 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.484 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.489 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
0.490 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
0.490 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
0.490 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.490 * [taylor]: Taking taylor expansion of 2.0 in im
0.490 * [backup-simplify]: Simplify 2.0 into 2.0
0.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.491 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.491 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.491 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.491 * [taylor]: Taking taylor expansion of re in im
0.491 * [backup-simplify]: Simplify re into re
0.492 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.492 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.492 * [taylor]: Taking taylor expansion of im in im
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify 1 into 1
0.492 * [backup-simplify]: Simplify (* 1 1) into 1
0.493 * [backup-simplify]: Simplify (/ 1 1) into 1
0.493 * [backup-simplify]: Simplify (+ 0 1) into 1
0.493 * [backup-simplify]: Simplify (sqrt 1) into 1
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.496 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.496 * [taylor]: Taking taylor expansion of re in im
0.496 * [backup-simplify]: Simplify re into re
0.496 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.497 * [backup-simplify]: Simplify (+ 1 0) into 1
0.497 * [backup-simplify]: Simplify (sqrt 0) into 0
0.499 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.499 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.499 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.499 * [taylor]: Taking taylor expansion of 2.0 in re
0.499 * [backup-simplify]: Simplify 2.0 into 2.0
0.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.500 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.500 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.500 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.500 * [taylor]: Taking taylor expansion of re in re
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.501 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.501 * [taylor]: Taking taylor expansion of im in re
0.501 * [backup-simplify]: Simplify im into im
0.501 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.501 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.502 * [backup-simplify]: Simplify (+ 1 0) into 1
0.502 * [backup-simplify]: Simplify (sqrt 1) into 1
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.504 * [backup-simplify]: Simplify (+ 0 0) into 0
0.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.505 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.505 * [taylor]: Taking taylor expansion of re in re
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [backup-simplify]: Simplify (- 1) into -1
0.506 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- 0) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.511 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.512 * [backup-simplify]: Simplify (sqrt 0) into 0
0.512 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.513 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.513 * [taylor]: Taking taylor expansion of 2.0 in re
0.513 * [backup-simplify]: Simplify 2.0 into 2.0
0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.513 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.513 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.513 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.513 * [taylor]: Taking taylor expansion of re in re
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.514 * [backup-simplify]: Simplify (* 1 1) into 1
0.514 * [backup-simplify]: Simplify (/ 1 1) into 1
0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.514 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.514 * [taylor]: Taking taylor expansion of im in re
0.514 * [backup-simplify]: Simplify im into im
0.514 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.514 * [backup-simplify]: Simplify (+ 1 0) into 1
0.515 * [backup-simplify]: Simplify (sqrt 1) into 1
0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.516 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.516 * [taylor]: Taking taylor expansion of re in re
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [backup-simplify]: Simplify (/ 1 1) into 1
0.517 * [backup-simplify]: Simplify (- 1) into -1
0.517 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.520 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (- 0) into 0
0.521 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.521 * [backup-simplify]: Simplify (sqrt 0) into 0
0.521 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.522 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.522 * [taylor]: Taking taylor expansion of 0 in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.522 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.522 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.522 * [taylor]: Taking taylor expansion of +nan.0 in im
0.522 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.522 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.522 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.522 * [taylor]: Taking taylor expansion of 2.0 in im
0.522 * [backup-simplify]: Simplify 2.0 into 2.0
0.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.523 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.523 * [taylor]: Taking taylor expansion of im in im
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.524 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.526 * [backup-simplify]: Simplify (- 0) into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.527 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.529 * [backup-simplify]: Simplify (- 0) into 0
0.529 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.531 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
0.532 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.532 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.532 * [taylor]: Taking taylor expansion of +nan.0 in im
0.532 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.532 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.532 * [taylor]: Taking taylor expansion of 2.0 in im
0.532 * [backup-simplify]: Simplify 2.0 into 2.0
0.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.533 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.533 * [taylor]: Taking taylor expansion of im in im
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.535 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.548 * [backup-simplify]: Simplify (- 0) into 0
0.548 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (- 0) into 0
0.560 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.561 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
0.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.564 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
0.564 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.564 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.564 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.564 * [taylor]: Taking taylor expansion of +nan.0 in im
0.564 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.564 * [taylor]: Taking taylor expansion of 2.0 in im
0.564 * [backup-simplify]: Simplify 2.0 into 2.0
0.564 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.565 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.565 * [taylor]: Taking taylor expansion of im in im
0.565 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify 1 into 1
0.566 * [backup-simplify]: Simplify (* 1 1) into 1
0.566 * [backup-simplify]: Simplify (* 1 1) into 1
0.570 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.570 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.570 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.570 * [taylor]: Taking taylor expansion of +nan.0 in im
0.570 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.570 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.570 * [taylor]: Taking taylor expansion of 2.0 in im
0.570 * [backup-simplify]: Simplify 2.0 into 2.0
0.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.572 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.572 * [taylor]: Taking taylor expansion of im in im
0.572 * [backup-simplify]: Simplify 0 into 0
0.572 * [backup-simplify]: Simplify 1 into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (* 1 1) into 1
0.573 * [backup-simplify]: Simplify (* 1 1) into 1
0.574 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.588 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.616 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.617 * [backup-simplify]: Simplify (- 0) into 0
0.617 * [backup-simplify]: Simplify (+ 0 0) into 0
0.617 * [backup-simplify]: Simplify (- 0) into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.617 * [backup-simplify]: Simplify 0 into 0
0.618 * * * [progress]: simplifying candidates
0.618 * * * * [progress]: [ 1 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
0.618 * * * * [progress]: [ 2 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
0.618 * * * * [progress]: [ 3 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
0.618 * * * * [progress]: [ 4 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
0.618 * * * * [progress]: [ 5 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.618 * * * * [progress]: [ 6 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.618 * * * * [progress]: [ 7 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
0.618 * * * * [progress]: [ 8 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.619 * * * * [progress]: [ 9 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
0.619 * * * * [progress]: [ 10 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.619 * * * * [progress]: [ 11 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
0.619 * * * * [progress]: [ 12 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
0.619 * * * * [progress]: [ 13 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.619 * * * * [progress]: [ 14 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
0.619 * * * * [progress]: [ 15 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
0.619 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
0.619 * * * * [progress]: [ 17 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
0.619 * * * * [progress]: [ 18 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
0.619 * * * * [progress]: [ 19 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.619 * * * * [progress]: [ 20 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.619 * * * * [progress]: [ 21 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.619 * * * * [progress]: [ 22 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.619 * * * * [progress]: [ 23 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.620 * * * * [progress]: [ 24 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))>
0.620 * * * * [progress]: [ 25 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.620 * * * * [progress]: [ 26 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))))))>
0.620 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.620 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.620 * * * * [progress]: [ 29 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))>
0.620 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
0.620 * * * * [progress]: [ 31 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
0.620 * * * * [progress]: [ 32 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.620 * * * * [progress]: [ 33 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.620 * * * * [progress]: [ 34 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.620 * * * * [progress]: [ 35 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.620 * * * * [progress]: [ 36 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.620 * * * * [progress]: [ 37 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))>
0.621 * * * * [progress]: [ 38 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
0.621 * * * * [progress]: [ 39 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.621 * * * * [progress]: [ 40 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.621 * * * * [progress]: [ 41 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.621 * * * * [progress]: [ 42 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.621 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.621 * * * * [progress]: [ 44 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
0.621 * * * * [progress]: [ 45 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
0.621 * * * * [progress]: [ 46 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
0.621 * * * * [progress]: [ 47 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
0.621 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
0.621 * * * * [progress]: [ 49 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
0.621 * * * * [progress]: [ 50 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))))>
0.621 * * * * [progress]: [ 51 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
0.621 * * * * [progress]: [ 52 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
0.622 * [simplify]: Simplifying:
  (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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
0.624 * * [simplify]: iteration 0: 102 enodes
0.653 * * [simplify]: iteration 1: 246 enodes
0.718 * * [simplify]: iteration 2: 669 enodes
1.006 * * [simplify]: iteration 3: 2104 enodes
1.725 * * [simplify]: iteration complete: 5002 enodes
1.725 * * [simplify]: Extracting #0: cost 48 inf + 0
1.726 * * [simplify]: Extracting #1: cost 258 inf + 129
1.731 * * [simplify]: Extracting #2: cost 1019 inf + 1224
1.757 * * [simplify]: Extracting #3: cost 1280 inf + 54480
1.793 * * [simplify]: Extracting #4: cost 571 inf + 211247
1.875 * * [simplify]: Extracting #5: cost 102 inf + 310760
1.960 * * [simplify]: Extracting #6: cost 31 inf + 330391
2.082 * * [simplify]: Extracting #7: cost 26 inf + 333666
2.205 * * [simplify]: Extracting #8: cost 7 inf + 336221
2.303 * * [simplify]: Extracting #9: cost 0 inf + 338272
2.399 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (- (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re))
  (log (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (exp (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0))))
  (cbrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0) (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt 2.0)
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* 2.0 (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))))
  (sqrt (- (+ (+ (* im im) (* re re)) (* re re)) (* (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (* 2.0 (* im im)))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (sqrt (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  (real->posit16 (sqrt (* (+ (sqrt (+ (* im im) (* re re))) re) 2.0)))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (* (* (sqrt 2.0) +nan.0) (- (- (* re re) (- im re))))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))
  0
2.407 * * * [progress]: adding candidates to table
2.754 * * [progress]: iteration 2 / 4
2.754 * * * [progress]: picking best candidate
2.798 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
2.798 * * * [progress]: localizing error
2.846 * * * [progress]: generating rewritten candidates
2.846 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
2.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
2.898 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
3.024 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
3.078 * * * [progress]: generating series expansions
3.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
3.078 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.078 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.078 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.078 * [taylor]: Taking taylor expansion of im in im
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.078 * [taylor]: Taking taylor expansion of re in im
3.078 * [backup-simplify]: Simplify re into re
3.078 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.078 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.078 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.079 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.079 * [backup-simplify]: Simplify (+ 0 0) into 0
3.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.079 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.079 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.079 * [taylor]: Taking taylor expansion of im in re
3.079 * [backup-simplify]: Simplify im into im
3.079 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.079 * [taylor]: Taking taylor expansion of re in re
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.079 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.080 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.080 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.080 * [taylor]: Taking taylor expansion of im in re
3.080 * [backup-simplify]: Simplify im into im
3.080 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.080 * [taylor]: Taking taylor expansion of re in re
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.080 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.081 * [backup-simplify]: Simplify (+ 0 0) into 0
3.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.081 * [taylor]: Taking taylor expansion of im in im
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [taylor]: Taking taylor expansion of 0 in im
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.081 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.081 * [backup-simplify]: Simplify (* 1 1) into 1
3.082 * [backup-simplify]: Simplify (+ 0 1) into 1
3.082 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.082 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.082 * [taylor]: Taking taylor expansion of 1/2 in im
3.082 * [backup-simplify]: Simplify 1/2 into 1/2
3.082 * [taylor]: Taking taylor expansion of im in im
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.086 * [backup-simplify]: Simplify (+ 0 0) into 0
3.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.086 * [taylor]: Taking taylor expansion of 0 in im
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.087 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.087 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.087 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.087 * [taylor]: Taking taylor expansion of re in im
3.087 * [backup-simplify]: Simplify re into re
3.087 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.087 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.087 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.087 * [taylor]: Taking taylor expansion of im in im
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 1 into 1
3.087 * [backup-simplify]: Simplify (* 1 1) into 1
3.087 * [backup-simplify]: Simplify (/ 1 1) into 1
3.088 * [backup-simplify]: Simplify (+ 0 1) into 1
3.088 * [backup-simplify]: Simplify (sqrt 1) into 1
3.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.089 * [backup-simplify]: Simplify (+ 0 0) into 0
3.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.089 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.089 * [taylor]: Taking taylor expansion of re in re
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (* 1 1) into 1
3.090 * [backup-simplify]: Simplify (/ 1 1) into 1
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.090 * [taylor]: Taking taylor expansion of im in re
3.090 * [backup-simplify]: Simplify im into im
3.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.090 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.090 * [backup-simplify]: Simplify (+ 1 0) into 1
3.091 * [backup-simplify]: Simplify (sqrt 1) into 1
3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.092 * [backup-simplify]: Simplify (+ 0 0) into 0
3.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.092 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.092 * [taylor]: Taking taylor expansion of re in re
3.092 * [backup-simplify]: Simplify 0 into 0
3.092 * [backup-simplify]: Simplify 1 into 1
3.093 * [backup-simplify]: Simplify (* 1 1) into 1
3.093 * [backup-simplify]: Simplify (/ 1 1) into 1
3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.093 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.093 * [taylor]: Taking taylor expansion of im in re
3.093 * [backup-simplify]: Simplify im into im
3.093 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.093 * [backup-simplify]: Simplify (+ 1 0) into 1
3.094 * [backup-simplify]: Simplify (sqrt 1) into 1
3.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (+ 0 0) into 0
3.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.096 * [taylor]: Taking taylor expansion of 1 in im
3.096 * [backup-simplify]: Simplify 1 into 1
3.096 * [taylor]: Taking taylor expansion of 0 in im
3.096 * [backup-simplify]: Simplify 0 into 0
3.097 * [backup-simplify]: Simplify 1 into 1
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.100 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.100 * [taylor]: Taking taylor expansion of 1/2 in im
3.100 * [backup-simplify]: Simplify 1/2 into 1/2
3.100 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.100 * [taylor]: Taking taylor expansion of im in im
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify 1 into 1
3.100 * [backup-simplify]: Simplify (* 1 1) into 1
3.101 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.105 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.106 * [backup-simplify]: Simplify (+ 0 0) into 0
3.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.106 * [taylor]: Taking taylor expansion of 0 in im
3.106 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.109 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.109 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.109 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.109 * [taylor]: Taking taylor expansion of re in im
3.109 * [backup-simplify]: Simplify re into re
3.109 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.109 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.109 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.109 * [taylor]: Taking taylor expansion of im in im
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify 1 into 1
3.110 * [backup-simplify]: Simplify (* 1 1) into 1
3.110 * [backup-simplify]: Simplify (/ 1 1) into 1
3.111 * [backup-simplify]: Simplify (+ 0 1) into 1
3.111 * [backup-simplify]: Simplify (sqrt 1) into 1
3.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (+ 0 0) into 0
3.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.114 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.114 * [taylor]: Taking taylor expansion of re in re
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 1 into 1
3.114 * [backup-simplify]: Simplify (* 1 1) into 1
3.114 * [backup-simplify]: Simplify (/ 1 1) into 1
3.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.115 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.115 * [taylor]: Taking taylor expansion of im in re
3.115 * [backup-simplify]: Simplify im into im
3.115 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.115 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.115 * [backup-simplify]: Simplify (+ 1 0) into 1
3.116 * [backup-simplify]: Simplify (sqrt 1) into 1
3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.117 * [backup-simplify]: Simplify (+ 0 0) into 0
3.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.118 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.118 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.118 * [taylor]: Taking taylor expansion of re in re
3.118 * [backup-simplify]: Simplify 0 into 0
3.118 * [backup-simplify]: Simplify 1 into 1
3.119 * [backup-simplify]: Simplify (* 1 1) into 1
3.119 * [backup-simplify]: Simplify (/ 1 1) into 1
3.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.119 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.119 * [taylor]: Taking taylor expansion of im in re
3.119 * [backup-simplify]: Simplify im into im
3.119 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.120 * [backup-simplify]: Simplify (+ 1 0) into 1
3.120 * [backup-simplify]: Simplify (sqrt 1) into 1
3.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.122 * [backup-simplify]: Simplify (+ 0 0) into 0
3.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.123 * [taylor]: Taking taylor expansion of 1 in im
3.123 * [backup-simplify]: Simplify 1 into 1
3.123 * [taylor]: Taking taylor expansion of 0 in im
3.123 * [backup-simplify]: Simplify 0 into 0
3.123 * [backup-simplify]: Simplify 1 into 1
3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.127 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.127 * [taylor]: Taking taylor expansion of 1/2 in im
3.127 * [backup-simplify]: Simplify 1/2 into 1/2
3.127 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.127 * [taylor]: Taking taylor expansion of im in im
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 1 into 1
3.127 * [backup-simplify]: Simplify (* 1 1) into 1
3.128 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.132 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.133 * [taylor]: Taking taylor expansion of 0 in im
3.133 * [backup-simplify]: Simplify 0 into 0
3.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.135 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
3.135 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
3.135 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
3.135 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.135 * [taylor]: Taking taylor expansion of re in im
3.135 * [backup-simplify]: Simplify re into re
3.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.135 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.136 * [taylor]: Taking taylor expansion of im in im
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.136 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.136 * [taylor]: Taking taylor expansion of re in im
3.136 * [backup-simplify]: Simplify re into re
3.136 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.136 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.136 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.136 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.137 * [backup-simplify]: Simplify (+ 0 0) into 0
3.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.137 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.137 * [taylor]: Taking taylor expansion of re in re
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 1 into 1
3.137 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.137 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.137 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.137 * [taylor]: Taking taylor expansion of im in re
3.137 * [backup-simplify]: Simplify im into im
3.137 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.137 * [taylor]: Taking taylor expansion of re in re
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.137 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.137 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.137 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.138 * [backup-simplify]: Simplify (+ 0 0) into 0
3.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.138 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.138 * [taylor]: Taking taylor expansion of re in re
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.138 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.138 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.138 * [taylor]: Taking taylor expansion of im in re
3.138 * [backup-simplify]: Simplify im into im
3.138 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.138 * [taylor]: Taking taylor expansion of re in re
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.138 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.139 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.139 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.139 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.139 * [backup-simplify]: Simplify (+ 0 0) into 0
3.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.139 * [backup-simplify]: Simplify (+ 0 im) into im
3.139 * [taylor]: Taking taylor expansion of im in im
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify 0 into 0
3.140 * [backup-simplify]: Simplify (+ 1 0) into 1
3.140 * [taylor]: Taking taylor expansion of 1 in im
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify 1 into 1
3.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.141 * [backup-simplify]: Simplify (* 1 1) into 1
3.141 * [backup-simplify]: Simplify (+ 0 1) into 1
3.142 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.142 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.142 * [taylor]: Taking taylor expansion of 1/2 in im
3.142 * [backup-simplify]: Simplify 1/2 into 1/2
3.142 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.142 * [taylor]: Taking taylor expansion of im in im
3.142 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 1 into 1
3.143 * [backup-simplify]: Simplify (/ 1 1) into 1
3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.147 * [backup-simplify]: Simplify (+ 0 0) into 0
3.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.147 * [backup-simplify]: Simplify (+ 0 0) into 0
3.147 * [taylor]: Taking taylor expansion of 0 in im
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.149 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.150 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
3.150 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
3.150 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.150 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.150 * [taylor]: Taking taylor expansion of re in im
3.150 * [backup-simplify]: Simplify re into re
3.150 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.150 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.150 * [taylor]: Taking taylor expansion of re in im
3.150 * [backup-simplify]: Simplify re into re
3.150 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.150 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.151 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.151 * [taylor]: Taking taylor expansion of im in im
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 1 into 1
3.151 * [backup-simplify]: Simplify (* 1 1) into 1
3.152 * [backup-simplify]: Simplify (/ 1 1) into 1
3.152 * [backup-simplify]: Simplify (+ 0 1) into 1
3.152 * [backup-simplify]: Simplify (sqrt 1) into 1
3.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.154 * [backup-simplify]: Simplify (+ 0 0) into 0
3.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.155 * [taylor]: Taking taylor expansion of re in re
3.155 * [backup-simplify]: Simplify 0 into 0
3.155 * [backup-simplify]: Simplify 1 into 1
3.155 * [backup-simplify]: Simplify (/ 1 1) into 1
3.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.155 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.155 * [taylor]: Taking taylor expansion of re in re
3.155 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [backup-simplify]: Simplify (* 1 1) into 1
3.156 * [backup-simplify]: Simplify (/ 1 1) into 1
3.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.156 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.156 * [taylor]: Taking taylor expansion of im in re
3.156 * [backup-simplify]: Simplify im into im
3.156 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.157 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.157 * [backup-simplify]: Simplify (+ 1 0) into 1
3.157 * [backup-simplify]: Simplify (sqrt 1) into 1
3.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.159 * [backup-simplify]: Simplify (+ 0 0) into 0
3.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.160 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.160 * [taylor]: Taking taylor expansion of re in re
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 1 into 1
3.160 * [backup-simplify]: Simplify (/ 1 1) into 1
3.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.160 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.160 * [taylor]: Taking taylor expansion of re in re
3.160 * [backup-simplify]: Simplify 0 into 0
3.160 * [backup-simplify]: Simplify 1 into 1
3.161 * [backup-simplify]: Simplify (* 1 1) into 1
3.161 * [backup-simplify]: Simplify (/ 1 1) into 1
3.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.161 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.161 * [taylor]: Taking taylor expansion of im in re
3.161 * [backup-simplify]: Simplify im into im
3.161 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.162 * [backup-simplify]: Simplify (+ 1 0) into 1
3.162 * [backup-simplify]: Simplify (sqrt 1) into 1
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (+ 0 0) into 0
3.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.165 * [backup-simplify]: Simplify (+ 1 1) into 2
3.165 * [taylor]: Taking taylor expansion of 2 in im
3.165 * [backup-simplify]: Simplify 2 into 2
3.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.166 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [taylor]: Taking taylor expansion of 0 in im
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 2 into 2
3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.170 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.170 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.170 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.170 * [taylor]: Taking taylor expansion of 1/2 in im
3.170 * [backup-simplify]: Simplify 1/2 into 1/2
3.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.170 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.170 * [taylor]: Taking taylor expansion of im in im
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.171 * [backup-simplify]: Simplify (* 1 1) into 1
3.171 * [backup-simplify]: Simplify (/ 1 1) into 1
3.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 0 into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.176 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [taylor]: Taking taylor expansion of 0 in im
3.176 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.179 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
3.179 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
3.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.179 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.179 * [taylor]: Taking taylor expansion of re in im
3.179 * [backup-simplify]: Simplify re into re
3.180 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.180 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.180 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.180 * [taylor]: Taking taylor expansion of im in im
3.180 * [backup-simplify]: Simplify 0 into 0
3.180 * [backup-simplify]: Simplify 1 into 1
3.180 * [backup-simplify]: Simplify (* 1 1) into 1
3.181 * [backup-simplify]: Simplify (/ 1 1) into 1
3.181 * [backup-simplify]: Simplify (+ 0 1) into 1
3.181 * [backup-simplify]: Simplify (sqrt 1) into 1
3.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.183 * [backup-simplify]: Simplify (+ 0 0) into 0
3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.184 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.184 * [taylor]: Taking taylor expansion of re in im
3.184 * [backup-simplify]: Simplify re into re
3.184 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.184 * [taylor]: Taking taylor expansion of re in re
3.184 * [backup-simplify]: Simplify 0 into 0
3.184 * [backup-simplify]: Simplify 1 into 1
3.184 * [backup-simplify]: Simplify (* 1 1) into 1
3.185 * [backup-simplify]: Simplify (/ 1 1) into 1
3.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.185 * [taylor]: Taking taylor expansion of im in re
3.185 * [backup-simplify]: Simplify im into im
3.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.186 * [backup-simplify]: Simplify (+ 1 0) into 1
3.186 * [backup-simplify]: Simplify (sqrt 1) into 1
3.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (+ 0 0) into 0
3.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.188 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.188 * [taylor]: Taking taylor expansion of re in re
3.188 * [backup-simplify]: Simplify 0 into 0
3.188 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (/ 1 1) into 1
3.189 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.189 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (* 1 1) into 1
3.190 * [backup-simplify]: Simplify (/ 1 1) into 1
3.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.190 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.190 * [taylor]: Taking taylor expansion of im in re
3.190 * [backup-simplify]: Simplify im into im
3.190 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.190 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.190 * [backup-simplify]: Simplify (+ 1 0) into 1
3.191 * [backup-simplify]: Simplify (sqrt 1) into 1
3.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.193 * [taylor]: Taking taylor expansion of re in re
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 1 into 1
3.194 * [backup-simplify]: Simplify (/ 1 1) into 1
3.194 * [backup-simplify]: Simplify (- 1) into -1
3.194 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.194 * [taylor]: Taking taylor expansion of 0 in im
3.194 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (- 0) into 0
3.196 * [backup-simplify]: Simplify (+ 0 0) into 0
3.196 * [taylor]: Taking taylor expansion of 0 in im
3.196 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.201 * [backup-simplify]: Simplify (- 0) into 0
3.201 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.201 * [taylor]: Taking taylor expansion of 1/2 in im
3.201 * [backup-simplify]: Simplify 1/2 into 1/2
3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.201 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.201 * [taylor]: Taking taylor expansion of im in im
3.201 * [backup-simplify]: Simplify 0 into 0
3.201 * [backup-simplify]: Simplify 1 into 1
3.201 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.204 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.207 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.209 * [backup-simplify]: Simplify (- 0) into 0
3.209 * [backup-simplify]: Simplify (+ 0 0) into 0
3.209 * [taylor]: Taking taylor expansion of 0 in im
3.209 * [backup-simplify]: Simplify 0 into 0
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
3.213 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
3.213 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
3.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
3.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.213 * [taylor]: Taking taylor expansion of 2.0 in im
3.213 * [backup-simplify]: Simplify 2.0 into 2.0
3.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.214 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
3.214 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.214 * [taylor]: Taking taylor expansion of re in im
3.214 * [backup-simplify]: Simplify re into re
3.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.214 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.214 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.214 * [taylor]: Taking taylor expansion of im in im
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.214 * [taylor]: Taking taylor expansion of re in im
3.214 * [backup-simplify]: Simplify re into re
3.214 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.214 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.214 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.214 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.215 * [backup-simplify]: Simplify (+ 0 0) into 0
3.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.215 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.215 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.215 * [backup-simplify]: Simplify (+ 0 0) into 0
3.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
3.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.215 * [taylor]: Taking taylor expansion of 2.0 in re
3.215 * [backup-simplify]: Simplify 2.0 into 2.0
3.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.216 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
3.216 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.216 * [taylor]: Taking taylor expansion of re in re
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify 1 into 1
3.216 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.216 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.216 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.216 * [taylor]: Taking taylor expansion of im in re
3.216 * [backup-simplify]: Simplify im into im
3.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.216 * [taylor]: Taking taylor expansion of re in re
3.216 * [backup-simplify]: Simplify 0 into 0
3.216 * [backup-simplify]: Simplify 1 into 1
3.216 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.216 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.216 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.217 * [backup-simplify]: Simplify (+ 0 0) into 0
3.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.217 * [backup-simplify]: Simplify (+ 0 im) into im
3.217 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.218 * [backup-simplify]: Simplify (+ 1 0) into 1
3.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
3.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.219 * [taylor]: Taking taylor expansion of 2.0 in re
3.219 * [backup-simplify]: Simplify 2.0 into 2.0
3.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.219 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
3.219 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.219 * [taylor]: Taking taylor expansion of re in re
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.219 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.219 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.220 * [taylor]: Taking taylor expansion of im in re
3.220 * [backup-simplify]: Simplify im into im
3.220 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.220 * [taylor]: Taking taylor expansion of re in re
3.220 * [backup-simplify]: Simplify 0 into 0
3.220 * [backup-simplify]: Simplify 1 into 1
3.220 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.220 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.220 * [backup-simplify]: Simplify (+ 0 0) into 0
3.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.220 * [backup-simplify]: Simplify (+ 0 im) into im
3.220 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.221 * [backup-simplify]: Simplify (+ 1 0) into 1
3.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.221 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
3.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
3.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.221 * [taylor]: Taking taylor expansion of 2.0 in im
3.221 * [backup-simplify]: Simplify 2.0 into 2.0
3.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.222 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.222 * [taylor]: Taking taylor expansion of im in im
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 1 into 1
3.222 * [backup-simplify]: Simplify (sqrt 0) into 0
3.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.223 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
3.224 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
3.224 * [taylor]: Taking taylor expansion of 1/2 in im
3.224 * [backup-simplify]: Simplify 1/2 into 1/2
3.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
3.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.224 * [taylor]: Taking taylor expansion of 2.0 in im
3.224 * [backup-simplify]: Simplify 2.0 into 2.0
3.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.225 * [taylor]: Taking taylor expansion of im in im
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 1 into 1
3.225 * [backup-simplify]: Simplify (/ 1 1) into 1
3.225 * [backup-simplify]: Simplify (sqrt 0) into 0
3.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.227 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.230 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.230 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.233 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.233 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.233 * [backup-simplify]: Simplify (* 1 1) into 1
3.233 * [backup-simplify]: Simplify (+ 0 1) into 1
3.234 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.234 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.234 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
3.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
3.236 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
3.236 * [taylor]: Taking taylor expansion of 1/8 in im
3.236 * [backup-simplify]: Simplify 1/8 into 1/8
3.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
3.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.236 * [taylor]: Taking taylor expansion of 2.0 in im
3.236 * [backup-simplify]: Simplify 2.0 into 2.0
3.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.236 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.236 * [taylor]: Taking taylor expansion of im in im
3.236 * [backup-simplify]: Simplify 0 into 0
3.236 * [backup-simplify]: Simplify 1 into 1
3.237 * [backup-simplify]: Simplify (* 1 1) into 1
3.237 * [backup-simplify]: Simplify (* 1 1) into 1
3.237 * [backup-simplify]: Simplify (/ 1 1) into 1
3.237 * [backup-simplify]: Simplify (sqrt 0) into 0
3.238 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.242 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.247 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.252 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.253 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.258 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
3.259 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
3.259 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0
3.259 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
3.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.259 * [taylor]: Taking taylor expansion of 2.0 in im
3.259 * [backup-simplify]: Simplify 2.0 into 2.0
3.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.260 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.260 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.260 * [taylor]: Taking taylor expansion of re in im
3.260 * [backup-simplify]: Simplify re into re
3.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.260 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.260 * [taylor]: Taking taylor expansion of re in im
3.260 * [backup-simplify]: Simplify re into re
3.260 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.261 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.261 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.261 * [taylor]: Taking taylor expansion of im in im
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 1 into 1
3.261 * [backup-simplify]: Simplify (* 1 1) into 1
3.261 * [backup-simplify]: Simplify (/ 1 1) into 1
3.262 * [backup-simplify]: Simplify (+ 0 1) into 1
3.262 * [backup-simplify]: Simplify (sqrt 1) into 1
3.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (+ 0 0) into 0
3.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.265 * [backup-simplify]: Simplify (+ 0 1) into 1
3.265 * [backup-simplify]: Simplify (sqrt 0) into 0
3.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.266 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
3.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.266 * [taylor]: Taking taylor expansion of 2.0 in re
3.266 * [backup-simplify]: Simplify 2.0 into 2.0
3.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.267 * [taylor]: Taking taylor expansion of re in re
3.267 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify 1 into 1
3.267 * [backup-simplify]: Simplify (/ 1 1) into 1
3.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 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
3.267 * [backup-simplify]: Simplify 0 into 0
3.268 * [backup-simplify]: Simplify 1 into 1
3.268 * [backup-simplify]: Simplify (* 1 1) into 1
3.268 * [backup-simplify]: Simplify (/ 1 1) into 1
3.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.268 * [taylor]: Taking taylor expansion of im in re
3.268 * [backup-simplify]: Simplify im into im
3.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.268 * [backup-simplify]: Simplify (+ 1 0) into 1
3.269 * [backup-simplify]: Simplify (sqrt 1) into 1
3.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.270 * [backup-simplify]: Simplify (+ 0 0) into 0
3.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.270 * [backup-simplify]: Simplify (+ 1 1) into 2
3.271 * [backup-simplify]: Simplify (sqrt 0) into 0
3.271 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
3.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.271 * [taylor]: Taking taylor expansion of 2.0 in re
3.271 * [backup-simplify]: Simplify 2.0 into 2.0
3.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.272 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.272 * [taylor]: Taking taylor expansion of re in re
3.272 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify 1 into 1
3.272 * [backup-simplify]: Simplify (/ 1 1) into 1
3.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.272 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.273 * [taylor]: Taking taylor expansion of re in re
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 1 into 1
3.273 * [backup-simplify]: Simplify (* 1 1) into 1
3.273 * [backup-simplify]: Simplify (/ 1 1) into 1
3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.273 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.273 * [taylor]: Taking taylor expansion of im in re
3.273 * [backup-simplify]: Simplify im into im
3.273 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.273 * [backup-simplify]: Simplify (+ 1 0) into 1
3.274 * [backup-simplify]: Simplify (sqrt 1) into 1
3.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.275 * [backup-simplify]: Simplify (+ 0 0) into 0
3.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.275 * [backup-simplify]: Simplify (+ 1 1) into 2
3.276 * [backup-simplify]: Simplify (sqrt 0) into 0
3.276 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.277 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.277 * [taylor]: Taking taylor expansion of 0 in im
3.277 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
3.278 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.278 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.278 * [taylor]: Taking taylor expansion of +nan.0 in im
3.278 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.278 * [taylor]: Taking taylor expansion of 2.0 in im
3.278 * [backup-simplify]: Simplify 2.0 into 2.0
3.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.279 * [backup-simplify]: Simplify 0 into 0
3.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.280 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.283 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
3.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
3.283 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.283 * [taylor]: Taking taylor expansion of +nan.0 in im
3.284 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.284 * [taylor]: Taking taylor expansion of 2.0 in im
3.284 * [backup-simplify]: Simplify 2.0 into 2.0
3.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.285 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.286 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.287 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.288 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.289 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.291 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
3.291 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.292 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
3.292 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.292 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.292 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.292 * [taylor]: Taking taylor expansion of +nan.0 in im
3.292 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.292 * [taylor]: Taking taylor expansion of 2.0 in im
3.292 * [backup-simplify]: Simplify 2.0 into 2.0
3.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.293 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.293 * [taylor]: Taking taylor expansion of +nan.0 in im
3.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.293 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.293 * [taylor]: Taking taylor expansion of 2.0 in im
3.293 * [backup-simplify]: Simplify 2.0 into 2.0
3.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.294 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.294 * [taylor]: Taking taylor expansion of im in im
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 1 into 1
3.294 * [backup-simplify]: Simplify (* 1 1) into 1
3.295 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.296 * [backup-simplify]: Simplify (- 0) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.297 * [backup-simplify]: Simplify (- 0) into 0
3.297 * [backup-simplify]: Simplify 0 into 0
3.297 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.298 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.299 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.300 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.300 * [backup-simplify]: Simplify (- 0) into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.302 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.303 * [backup-simplify]: Simplify (+ 0 0) into 0
3.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.304 * [backup-simplify]: Simplify (+ 0 0) into 0
3.305 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
3.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
3.309 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.309 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.309 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.309 * [taylor]: Taking taylor expansion of +nan.0 in im
3.309 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.309 * [taylor]: Taking taylor expansion of 2.0 in im
3.309 * [backup-simplify]: Simplify 2.0 into 2.0
3.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.310 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.310 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.310 * [taylor]: Taking taylor expansion of +nan.0 in im
3.310 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.310 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.310 * [taylor]: Taking taylor expansion of 2.0 in im
3.310 * [backup-simplify]: Simplify 2.0 into 2.0
3.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.312 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.312 * [taylor]: Taking taylor expansion of im in im
3.312 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify 1 into 1
3.312 * [backup-simplify]: Simplify (* 1 1) into 1
3.313 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.316 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.316 * [backup-simplify]: Simplify (- 0) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [backup-simplify]: Simplify (- 0) into 0
3.317 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.325 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.325 * [backup-simplify]: Simplify (- 0) into 0
3.327 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.329 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.331 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.336 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.337 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
3.337 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0
3.337 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
3.337 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.337 * [taylor]: Taking taylor expansion of 2.0 in im
3.337 * [backup-simplify]: Simplify 2.0 into 2.0
3.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.338 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.338 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.338 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.338 * [taylor]: Taking taylor expansion of re in im
3.338 * [backup-simplify]: Simplify re into re
3.339 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.339 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.339 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.339 * [taylor]: Taking taylor expansion of im in im
3.339 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify 1 into 1
3.339 * [backup-simplify]: Simplify (* 1 1) into 1
3.340 * [backup-simplify]: Simplify (/ 1 1) into 1
3.340 * [backup-simplify]: Simplify (+ 0 1) into 1
3.340 * [backup-simplify]: Simplify (sqrt 1) into 1
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ 0 0) into 0
3.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.343 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.343 * [taylor]: Taking taylor expansion of re in im
3.343 * [backup-simplify]: Simplify re into re
3.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.344 * [backup-simplify]: Simplify (+ 1 0) into 1
3.344 * [backup-simplify]: Simplify (sqrt 0) into 0
3.346 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.346 * [taylor]: Taking taylor expansion of 2.0 in re
3.346 * [backup-simplify]: Simplify 2.0 into 2.0
3.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.347 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.347 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.347 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.347 * [taylor]: Taking taylor expansion of re in re
3.347 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify 1 into 1
3.348 * [backup-simplify]: Simplify (* 1 1) into 1
3.348 * [backup-simplify]: Simplify (/ 1 1) into 1
3.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.348 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.348 * [taylor]: Taking taylor expansion of im in re
3.348 * [backup-simplify]: Simplify im into im
3.348 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.348 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.349 * [backup-simplify]: Simplify (+ 1 0) into 1
3.349 * [backup-simplify]: Simplify (sqrt 1) into 1
3.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.351 * [backup-simplify]: Simplify (+ 0 0) into 0
3.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.352 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.352 * [taylor]: Taking taylor expansion of re in re
3.352 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify 1 into 1
3.352 * [backup-simplify]: Simplify (/ 1 1) into 1
3.353 * [backup-simplify]: Simplify (- 1) into -1
3.353 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.354 * [backup-simplify]: Simplify (- 0) into 0
3.355 * [backup-simplify]: Simplify (+ 0 0) into 0
3.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.358 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.359 * [backup-simplify]: Simplify (- 0) into 0
3.360 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.360 * [backup-simplify]: Simplify (sqrt 0) into 0
3.361 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
3.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.361 * [taylor]: Taking taylor expansion of 2.0 in re
3.361 * [backup-simplify]: Simplify 2.0 into 2.0
3.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.362 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.362 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.362 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.362 * [taylor]: Taking taylor expansion of re in re
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 1 into 1
3.363 * [backup-simplify]: Simplify (* 1 1) into 1
3.363 * [backup-simplify]: Simplify (/ 1 1) into 1
3.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.363 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.363 * [taylor]: Taking taylor expansion of im in re
3.363 * [backup-simplify]: Simplify im into im
3.363 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.364 * [backup-simplify]: Simplify (+ 1 0) into 1
3.364 * [backup-simplify]: Simplify (sqrt 1) into 1
3.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.366 * [backup-simplify]: Simplify (+ 0 0) into 0
3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.367 * [taylor]: Taking taylor expansion of re in re
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 1 into 1
3.368 * [backup-simplify]: Simplify (/ 1 1) into 1
3.368 * [backup-simplify]: Simplify (- 1) into -1
3.368 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.370 * [backup-simplify]: Simplify (- 0) into 0
3.370 * [backup-simplify]: Simplify (+ 0 0) into 0
3.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.372 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.373 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.375 * [backup-simplify]: Simplify (- 0) into 0
3.375 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.375 * [backup-simplify]: Simplify (sqrt 0) into 0
3.376 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.377 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
3.377 * [taylor]: Taking taylor expansion of 0 in im
3.377 * [backup-simplify]: Simplify 0 into 0
3.378 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.378 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.378 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.378 * [taylor]: Taking taylor expansion of +nan.0 in im
3.378 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.378 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.378 * [taylor]: Taking taylor expansion of 2.0 in im
3.378 * [backup-simplify]: Simplify 2.0 into 2.0
3.378 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.379 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.379 * [taylor]: Taking taylor expansion of im in im
3.379 * [backup-simplify]: Simplify 0 into 0
3.379 * [backup-simplify]: Simplify 1 into 1
3.380 * [backup-simplify]: Simplify (* 1 1) into 1
3.381 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.384 * [backup-simplify]: Simplify (- 0) into 0
3.384 * [backup-simplify]: Simplify 0 into 0
3.384 * [backup-simplify]: Simplify 0 into 0
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.387 * [backup-simplify]: Simplify (+ 0 0) into 0
3.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.389 * [backup-simplify]: Simplify (- 0) into 0
3.389 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.392 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
3.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.392 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.393 * [taylor]: Taking taylor expansion of +nan.0 in im
3.393 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.393 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.393 * [taylor]: Taking taylor expansion of 2.0 in im
3.393 * [backup-simplify]: Simplify 2.0 into 2.0
3.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.394 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.394 * [taylor]: Taking taylor expansion of im in im
3.394 * [backup-simplify]: Simplify 0 into 0
3.394 * [backup-simplify]: Simplify 1 into 1
3.394 * [backup-simplify]: Simplify (* 1 1) into 1
3.395 * [backup-simplify]: Simplify (* 1 1) into 1
3.396 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.397 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.409 * [backup-simplify]: Simplify (- 0) into 0
3.409 * [backup-simplify]: Simplify 0 into 0
3.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.414 * [backup-simplify]: Simplify (- 0) into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.414 * [backup-simplify]: Simplify 0 into 0
3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.417 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.418 * [backup-simplify]: Simplify (+ 0 0) into 0
3.419 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.420 * [backup-simplify]: Simplify (- 0) into 0
3.421 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.422 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
3.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.423 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.423 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.423 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.423 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.423 * [taylor]: Taking taylor expansion of +nan.0 in im
3.423 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.423 * [taylor]: Taking taylor expansion of 2.0 in im
3.423 * [backup-simplify]: Simplify 2.0 into 2.0
3.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.424 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.424 * [taylor]: Taking taylor expansion of im in im
3.424 * [backup-simplify]: Simplify 0 into 0
3.424 * [backup-simplify]: Simplify 1 into 1
3.425 * [backup-simplify]: Simplify (* 1 1) into 1
3.425 * [backup-simplify]: Simplify (* 1 1) into 1
3.425 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.425 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.425 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.425 * [taylor]: Taking taylor expansion of +nan.0 in im
3.425 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.426 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.426 * [taylor]: Taking taylor expansion of 2.0 in im
3.426 * [backup-simplify]: Simplify 2.0 into 2.0
3.426 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.426 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.426 * [taylor]: Taking taylor expansion of im in im
3.426 * [backup-simplify]: Simplify 0 into 0
3.426 * [backup-simplify]: Simplify 1 into 1
3.427 * [backup-simplify]: Simplify (* 1 1) into 1
3.427 * [backup-simplify]: Simplify (* 1 1) into 1
3.427 * [backup-simplify]: Simplify (* 1 1) into 1
3.428 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.435 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.437 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.452 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.452 * [backup-simplify]: Simplify (- 0) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (- 0) into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
3.453 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) into (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))
3.453 * [approximate]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in (re im) around 0
3.453 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
3.453 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
3.453 * [taylor]: Taking taylor expansion of re in im
3.453 * [backup-simplify]: Simplify re into re
3.453 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.453 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.453 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.453 * [taylor]: Taking taylor expansion of im in im
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.453 * [taylor]: Taking taylor expansion of re in im
3.453 * [backup-simplify]: Simplify re into re
3.453 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.453 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.454 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.454 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.454 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.454 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.454 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.455 * [backup-simplify]: Simplify (+ 0 0) into 0
3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.455 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
3.455 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.455 * [taylor]: Taking taylor expansion of re in re
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.455 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.455 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.455 * [taylor]: Taking taylor expansion of im in re
3.455 * [backup-simplify]: Simplify im into im
3.455 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.455 * [taylor]: Taking taylor expansion of re in re
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.455 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.456 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.456 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.456 * [backup-simplify]: Simplify (+ 0 0) into 0
3.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.456 * [backup-simplify]: Simplify (+ 0 im) into im
3.456 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.457 * [backup-simplify]: Simplify (+ 1 0) into 1
3.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.457 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
3.457 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
3.457 * [taylor]: Taking taylor expansion of re in re
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.457 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.457 * [taylor]: Taking taylor expansion of im in re
3.457 * [backup-simplify]: Simplify im into im
3.457 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.457 * [taylor]: Taking taylor expansion of re in re
3.457 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.457 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.457 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.458 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.458 * [backup-simplify]: Simplify (+ 0 0) into 0
3.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.458 * [backup-simplify]: Simplify (+ 0 im) into im
3.458 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.459 * [backup-simplify]: Simplify (+ 1 0) into 1
3.459 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.459 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.459 * [taylor]: Taking taylor expansion of im in im
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [backup-simplify]: Simplify (sqrt 0) into 0
3.461 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
3.461 * [taylor]: Taking taylor expansion of 1/2 in im
3.461 * [backup-simplify]: Simplify 1/2 into 1/2
3.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.461 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.461 * [taylor]: Taking taylor expansion of im in im
3.461 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify 1 into 1
3.461 * [backup-simplify]: Simplify (/ 1 1) into 1
3.462 * [backup-simplify]: Simplify (sqrt 0) into 0
3.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.464 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
3.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.464 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.464 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.464 * [backup-simplify]: Simplify (* 1 1) into 1
3.465 * [backup-simplify]: Simplify (+ 0 1) into 1
3.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.465 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
3.466 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
3.466 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
3.466 * [taylor]: Taking taylor expansion of 1/8 in im
3.466 * [backup-simplify]: Simplify 1/8 into 1/8
3.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.466 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.466 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.466 * [taylor]: Taking taylor expansion of im in im
3.466 * [backup-simplify]: Simplify 0 into 0
3.466 * [backup-simplify]: Simplify 1 into 1
3.466 * [backup-simplify]: Simplify (* 1 1) into 1
3.466 * [backup-simplify]: Simplify (* 1 1) into 1
3.467 * [backup-simplify]: Simplify (/ 1 1) into 1
3.467 * [backup-simplify]: Simplify (sqrt 0) into 0
3.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.471 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.472 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
3.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.473 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
3.473 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))
3.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in (re im) around 0
3.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
3.473 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.473 * [taylor]: Taking taylor expansion of re in im
3.473 * [backup-simplify]: Simplify re into re
3.473 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.473 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.473 * [taylor]: Taking taylor expansion of re in im
3.473 * [backup-simplify]: Simplify re into re
3.473 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.473 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.473 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.473 * [taylor]: Taking taylor expansion of im in im
3.473 * [backup-simplify]: Simplify 0 into 0
3.473 * [backup-simplify]: Simplify 1 into 1
3.473 * [backup-simplify]: Simplify (* 1 1) into 1
3.474 * [backup-simplify]: Simplify (/ 1 1) into 1
3.474 * [backup-simplify]: Simplify (+ 0 1) into 1
3.474 * [backup-simplify]: Simplify (sqrt 1) into 1
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.476 * [backup-simplify]: Simplify (+ 0 0) into 0
3.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.476 * [backup-simplify]: Simplify (+ 0 1) into 1
3.476 * [backup-simplify]: Simplify (sqrt 0) into 0
3.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.478 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.478 * [taylor]: Taking taylor expansion of re in re
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.478 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.478 * [taylor]: Taking taylor expansion of re in re
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (* 1 1) into 1
3.478 * [backup-simplify]: Simplify (/ 1 1) into 1
3.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.478 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.478 * [taylor]: Taking taylor expansion of im in re
3.478 * [backup-simplify]: Simplify im into im
3.479 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.479 * [backup-simplify]: Simplify (+ 1 0) into 1
3.479 * [backup-simplify]: Simplify (sqrt 1) into 1
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.480 * [backup-simplify]: Simplify (+ 0 0) into 0
3.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.481 * [backup-simplify]: Simplify (+ 1 1) into 2
3.481 * [backup-simplify]: Simplify (sqrt 0) into 0
3.482 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
3.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.482 * [taylor]: Taking taylor expansion of re in re
3.482 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify 1 into 1
3.482 * [backup-simplify]: Simplify (/ 1 1) into 1
3.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.482 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.482 * [taylor]: Taking taylor expansion of re in re
3.482 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify 1 into 1
3.483 * [backup-simplify]: Simplify (* 1 1) into 1
3.483 * [backup-simplify]: Simplify (/ 1 1) into 1
3.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.483 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.483 * [taylor]: Taking taylor expansion of im in re
3.483 * [backup-simplify]: Simplify im into im
3.483 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.483 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.483 * [backup-simplify]: Simplify (+ 1 0) into 1
3.484 * [backup-simplify]: Simplify (sqrt 1) into 1
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.485 * [backup-simplify]: Simplify (+ 1 1) into 2
3.485 * [backup-simplify]: Simplify (sqrt 0) into 0
3.486 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.486 * [taylor]: Taking taylor expansion of 0 in im
3.486 * [backup-simplify]: Simplify 0 into 0
3.486 * [taylor]: Taking taylor expansion of +nan.0 in im
3.486 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.486 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.487 * [backup-simplify]: Simplify (+ 0 0) into 0
3.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.489 * [taylor]: Taking taylor expansion of +nan.0 in im
3.489 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.489 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.489 * [backup-simplify]: Simplify 0 into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.491 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.493 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.495 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
3.495 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
3.495 * [taylor]: Taking taylor expansion of +nan.0 in im
3.495 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.495 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
3.495 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.495 * [taylor]: Taking taylor expansion of 1/2 in im
3.495 * [backup-simplify]: Simplify 1/2 into 1/2
3.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.495 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.495 * [taylor]: Taking taylor expansion of im in im
3.495 * [backup-simplify]: Simplify 0 into 0
3.495 * [backup-simplify]: Simplify 1 into 1
3.496 * [backup-simplify]: Simplify (* 1 1) into 1
3.496 * [backup-simplify]: Simplify (/ 1 1) into 1
3.496 * [taylor]: Taking taylor expansion of +nan.0 in im
3.496 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.498 * [backup-simplify]: Simplify (+ 0 0) into 0
3.499 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.499 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.500 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.500 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.504 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
3.506 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
3.506 * [taylor]: Taking taylor expansion of +nan.0 in im
3.506 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.506 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
3.506 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
3.506 * [taylor]: Taking taylor expansion of +nan.0 in im
3.506 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.506 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.506 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.506 * [taylor]: Taking taylor expansion of im in im
3.506 * [backup-simplify]: Simplify 0 into 0
3.506 * [backup-simplify]: Simplify 1 into 1
3.506 * [backup-simplify]: Simplify (* 1 1) into 1
3.507 * [backup-simplify]: Simplify (/ 1 1) into 1
3.507 * [taylor]: Taking taylor expansion of (- +nan.0) in im
3.507 * [taylor]: Taking taylor expansion of +nan.0 in im
3.507 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.509 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.509 * [backup-simplify]: Simplify (+ 0 0) into 0
3.510 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.510 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.511 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
3.511 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.514 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.515 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
3.517 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
3.517 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.518 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
3.519 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))
3.519 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in (re im) around 0
3.519 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
3.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
3.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.519 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.519 * [taylor]: Taking taylor expansion of re in im
3.519 * [backup-simplify]: Simplify re into re
3.519 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.519 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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
3.519 * [backup-simplify]: Simplify 0 into 0
3.519 * [backup-simplify]: Simplify 1 into 1
3.519 * [backup-simplify]: Simplify (* 1 1) into 1
3.520 * [backup-simplify]: Simplify (/ 1 1) into 1
3.520 * [backup-simplify]: Simplify (+ 0 1) into 1
3.521 * [backup-simplify]: Simplify (sqrt 1) into 1
3.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.523 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.523 * [taylor]: Taking taylor expansion of re in im
3.523 * [backup-simplify]: Simplify re into re
3.523 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.524 * [backup-simplify]: Simplify (+ 1 0) into 1
3.524 * [backup-simplify]: Simplify (sqrt 0) into 0
3.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.525 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.526 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.526 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.526 * [taylor]: Taking taylor expansion of re in re
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [backup-simplify]: Simplify (* 1 1) into 1
3.526 * [backup-simplify]: Simplify (/ 1 1) into 1
3.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.526 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.526 * [taylor]: Taking taylor expansion of im in re
3.527 * [backup-simplify]: Simplify im into im
3.527 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.527 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.527 * [backup-simplify]: Simplify (+ 1 0) into 1
3.528 * [backup-simplify]: Simplify (sqrt 1) into 1
3.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.529 * [backup-simplify]: Simplify (+ 0 0) into 0
3.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.530 * [taylor]: Taking taylor expansion of re in re
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.530 * [backup-simplify]: Simplify (/ 1 1) into 1
3.531 * [backup-simplify]: Simplify (- 1) into -1
3.531 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.532 * [backup-simplify]: Simplify (- 0) into 0
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.534 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.536 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (- 0) into 0
3.537 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.537 * [backup-simplify]: Simplify (sqrt 0) into 0
3.538 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.538 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
3.538 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
3.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.538 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.538 * [taylor]: Taking taylor expansion of re in re
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.539 * [backup-simplify]: Simplify (* 1 1) into 1
3.539 * [backup-simplify]: Simplify (/ 1 1) into 1
3.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.539 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.539 * [taylor]: Taking taylor expansion of im in re
3.539 * [backup-simplify]: Simplify im into im
3.539 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.539 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.540 * [backup-simplify]: Simplify (+ 1 0) into 1
3.540 * [backup-simplify]: Simplify (sqrt 1) into 1
3.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.542 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.543 * [taylor]: Taking taylor expansion of re in re
3.543 * [backup-simplify]: Simplify 0 into 0
3.543 * [backup-simplify]: Simplify 1 into 1
3.543 * [backup-simplify]: Simplify (/ 1 1) into 1
3.543 * [backup-simplify]: Simplify (- 1) into -1
3.544 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.545 * [backup-simplify]: Simplify (- 0) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.547 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.549 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.550 * [backup-simplify]: Simplify (- 0) into 0
3.550 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.550 * [backup-simplify]: Simplify (sqrt 0) into 0
3.551 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.551 * [taylor]: Taking taylor expansion of 0 in im
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
3.551 * [taylor]: Taking taylor expansion of +nan.0 in im
3.551 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.551 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.551 * [taylor]: Taking taylor expansion of im in im
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.552 * [backup-simplify]: Simplify (* 1 1) into 1
3.552 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.554 * [backup-simplify]: Simplify 0 into 0
3.554 * [backup-simplify]: Simplify 0 into 0
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.556 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.556 * [backup-simplify]: Simplify (+ 0 0) into 0
3.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.558 * [backup-simplify]: Simplify (- 0) into 0
3.558 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.559 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
3.559 * [taylor]: Taking taylor expansion of +nan.0 in im
3.559 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.559 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.559 * [taylor]: Taking taylor expansion of im in im
3.559 * [backup-simplify]: Simplify 0 into 0
3.559 * [backup-simplify]: Simplify 1 into 1
3.559 * [backup-simplify]: Simplify (* 1 1) into 1
3.559 * [backup-simplify]: Simplify (* 1 1) into 1
3.560 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.566 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.567 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.569 * [backup-simplify]: Simplify (+ 0 0) into 0
3.570 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.571 * [backup-simplify]: Simplify (- 0) into 0
3.571 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.572 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
3.572 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im
3.572 * [taylor]: Taking taylor expansion of +nan.0 in im
3.572 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.572 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im
3.572 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
3.572 * [taylor]: Taking taylor expansion of +nan.0 in im
3.572 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
3.572 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.572 * [taylor]: Taking taylor expansion of im in im
3.572 * [backup-simplify]: Simplify 0 into 0
3.572 * [backup-simplify]: Simplify 1 into 1
3.572 * [backup-simplify]: Simplify (* 1 1) into 1
3.572 * [backup-simplify]: Simplify (* 1 1) into 1
3.573 * [backup-simplify]: Simplify (* 1 1) into 1
3.573 * [backup-simplify]: Simplify (/ 1 1) into 1
3.573 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
3.573 * [taylor]: Taking taylor expansion of 1/8 in im
3.573 * [backup-simplify]: Simplify 1/8 into 1/8
3.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
3.573 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.573 * [taylor]: Taking taylor expansion of im in im
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 1 into 1
3.573 * [backup-simplify]: Simplify (* 1 1) into 1
3.573 * [backup-simplify]: Simplify (* 1 1) into 1
3.574 * [backup-simplify]: Simplify (/ 1 1) into 1
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.586 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.593 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.595 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
3.596 * [backup-simplify]: Simplify (+ 0 0) into 0
3.597 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.598 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
3.598 * [backup-simplify]: Simplify (+ 0 0) into 0
3.599 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
3.600 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
3.600 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
3.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.601 * [backup-simplify]: Simplify (+ 0 0) into 0
3.602 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.602 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.604 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * [backup-simplify]: Simplify 0 into 0
3.604 * * * [progress]: simplifying candidates
3.604 * * * * [progress]: [ 1 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
3.604 * * * * [progress]: [ 2 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
3.604 * * * * [progress]: [ 3 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
3.604 * * * * [progress]: [ 4 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
3.604 * * * * [progress]: [ 5 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.605 * * * * [progress]: [ 6 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
3.605 * * * * [progress]: [ 7 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
3.605 * * * * [progress]: [ 8 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.605 * * * * [progress]: [ 9 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
3.605 * * * * [progress]: [ 10 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
3.605 * * * * [progress]: [ 11 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
3.605 * * * * [progress]: [ 12 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
3.605 * * * * [progress]: [ 13 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.605 * * * * [progress]: [ 14 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
3.605 * * * * [progress]: [ 15 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
3.605 * * * * [progress]: [ 16 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
3.605 * * * * [progress]: [ 17 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
3.605 * * * * [progress]: [ 18 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
3.605 * * * * [progress]: [ 19 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.606 * * * * [progress]: [ 20 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.606 * * * * [progress]: [ 21 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.606 * * * * [progress]: [ 22 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.606 * * * * [progress]: [ 23 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.606 * * * * [progress]: [ 24 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))>
3.606 * * * * [progress]: [ 25 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.606 * * * * [progress]: [ 26 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))))))>
3.606 * * * * [progress]: [ 27 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.606 * * * * [progress]: [ 28 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.606 * * * * [progress]: [ 29 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>
3.606 * * * * [progress]: [ 30 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
3.606 * * * * [progress]: [ 31 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
3.606 * * * * [progress]: [ 32 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
3.607 * * * * [progress]: [ 33 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
3.607 * * * * [progress]: [ 34 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 35 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 36 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 37 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 38 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 39 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 40 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.607 * * * * [progress]: [ 41 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 42 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.607 * * * * [progress]: [ 43 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 44 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 45 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.607 * * * * [progress]: [ 46 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.608 * * * * [progress]: [ 47 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 48 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 49 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 50 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.608 * * * * [progress]: [ 51 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.608 * * * * [progress]: [ 52 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 53 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.608 * * * * [progress]: [ 54 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 55 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 56 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 57 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 1) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 58 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 59 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.608 * * * * [progress]: [ 60 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 61 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
3.609 * * * * [progress]: [ 62 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 63 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))))>
3.609 * * * * [progress]: [ 64 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (pow (+ (sqrt (+ (* re re) (* im im))) re) 1/2))))>
3.609 * * * * [progress]: [ 65 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (pow (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1))))>
3.609 * * * * [progress]: [ 66 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (exp (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 67 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (log (exp (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 68 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 69 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (cbrt (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 70 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 71 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.609 * * * * [progress]: [ 72 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.609 * * * * [progress]: [ 73 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.609 * * * * [progress]: [ 74 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))>
3.609 * * * * [progress]: [ 75 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))>
3.610 * * * * [progress]: [ 76 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (pow (+ (sqrt (+ (* re re) (* im im))) re) (/ 1 2)))))>
3.610 * * * * [progress]: [ 77 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.610 * * * * [progress]: [ 78 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (fabs (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.610 * * * * [progress]: [ 79 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (* 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.610 * * * * [progress]: [ 80 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (posit16->real (real->posit16 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.610 * * * * [progress]: [ 81 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))>
3.610 * * * * [progress]: [ 82 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))>
3.610 * * * * [progress]: [ 83 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* -1 re) re)))))>
3.610 * * * * [progress]: [ 84 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re im)))))>
3.610 * * * * [progress]: [ 85 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 2 re)))))>
3.610 * * * * [progress]: [ 86 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt 0))))>
3.610 * * * * [progress]: [ 87 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))))>
3.610 * * * * [progress]: [ 88 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
3.610 * * * * [progress]: [ 89 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
3.610 * * * * [progress]: [ 90 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))))))>
3.610 * * * * [progress]: [ 91 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))))))>
3.610 * * * * [progress]: [ 92 / 92 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) 0)))>
3.612 * [simplify]: Simplifying:
  (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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (* (exp (sqrt (+ (* re re) (* im im)))) (exp re))
  (log (+ (sqrt (+ (* re re) (* im im))) re))
  (exp (+ (sqrt (+ (* re re) (* im im))) re))
  (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (cbrt (+ (sqrt (+ (* re re) (* im im))) re))
  (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))
  (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))
  (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))
  (- (sqrt (+ (* re re) (* im im))) re)
  (+ (sqrt (+ (* re re) (* im im))) re)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))
  (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) (sqrt 1))
  (* (sqrt 2.0) (sqrt 1))
  (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (* (sqrt 2.0) 1)
  (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt (cbrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))
  (* (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))
  (real->posit16 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (exp (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt 1)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt 1)
  (sqrt (+ (sqrt (+ (* re re) (* im im))) re))
  (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))
  (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))
  (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))
  (sqrt (- (sqrt (+ (* re re) (* im im))) re))
  (/ 1 2)
  (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  (real->posit16 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  0
3.615 * * [simplify]: iteration 0: 147 enodes
3.663 * * [simplify]: iteration 1: 357 enodes
3.818 * * [simplify]: iteration 2: 1029 enodes
4.568 * * [simplify]: iteration 3: 3523 enodes
5.836 * * [simplify]: iteration complete: 5003 enodes
5.837 * * [simplify]: Extracting #0: cost 70 inf + 0
5.838 * * [simplify]: Extracting #1: cost 337 inf + 46
5.843 * * [simplify]: Extracting #2: cost 881 inf + 2107
5.859 * * [simplify]: Extracting #3: cost 1113 inf + 43040
5.891 * * [simplify]: Extracting #4: cost 465 inf + 143546
5.959 * * [simplify]: Extracting #5: cost 92 inf + 234446
6.024 * * [simplify]: Extracting #6: cost 50 inf + 255157
6.091 * * [simplify]: Extracting #7: cost 12 inf + 260107
6.158 * * [simplify]: Extracting #8: cost 0 inf + 263543
6.216 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) (* im im)) (* im im))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (log (+ (sqrt (+ (* im im) (* re re))) re))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
  (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))
  (+ (+ (* im im) (* re re)) (* (- re (sqrt (+ (* im im) (* re re)))) re))
  (* im im)
  (- (sqrt (+ (* im im) (* re re))) re)
  (+ (sqrt (+ (* im im) (* re re))) re)
  (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re))
  (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))
  (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0))
  (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))
  (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt 2.0))
  (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (sqrt 2.0)))
  (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))
  (* (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (sqrt 2.0)
  (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (sqrt 2.0)
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt 2.0)))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (cbrt 2.0)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))) (sqrt 2.0))
  (* (sqrt (* im im)) (sqrt 2.0))
  (real->posit16 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (log (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (exp (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re))))
  (cbrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (* (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (sqrt (+ (* im im) (* re re))) re))
  (fabs (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (cbrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  1
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  1
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)))
  (sqrt (+ (+ (* im im) (* re re)) (* (- re (sqrt (+ (* im im) (* re re)))) re)))
  (sqrt (* im im))
  (sqrt (- (sqrt (+ (* im im) (* re re))) re))
  1/2
  (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  (real->posit16 (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  (+ (* +nan.0 (- (* im (sqrt 2.0)) (* (sqrt 2.0) re))) (* (* (* re re) (- +nan.0)) (sqrt 2.0)))
  (- (- (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re)))))
  0
  (+ (* +nan.0 (- (* re re) im)) (* (- re) +nan.0))
  (- (- (+ (/ +nan.0 re) +nan.0) (/ (/ +nan.0 re) re)))
  0
6.228 * * * [progress]: adding candidates to table
6.695 * * [progress]: iteration 3 / 4
6.695 * * * [progress]: picking best candidate
6.734 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.734 * * * [progress]: localizing error
6.764 * * * [progress]: generating rewritten candidates
6.764 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
6.780 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
6.796 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
6.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
6.968 * * * [progress]: generating series expansions
6.968 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
6.969 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.969 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.969 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.969 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.969 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.969 * [taylor]: Taking taylor expansion of im in im
6.969 * [backup-simplify]: Simplify 0 into 0
6.969 * [backup-simplify]: Simplify 1 into 1
6.969 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.969 * [taylor]: Taking taylor expansion of re in im
6.969 * [backup-simplify]: Simplify re into re
6.969 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.969 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.969 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.969 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.970 * [backup-simplify]: Simplify (+ 0 0) into 0
6.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.970 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.970 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.970 * [taylor]: Taking taylor expansion of im in re
6.970 * [backup-simplify]: Simplify im into im
6.970 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.970 * [taylor]: Taking taylor expansion of re in re
6.970 * [backup-simplify]: Simplify 0 into 0
6.970 * [backup-simplify]: Simplify 1 into 1
6.970 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.970 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.970 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.970 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.970 * [backup-simplify]: Simplify (+ 0 0) into 0
6.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.970 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.971 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.971 * [taylor]: Taking taylor expansion of im in re
6.971 * [backup-simplify]: Simplify im into im
6.971 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.971 * [taylor]: Taking taylor expansion of re in re
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.971 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.971 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.971 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.971 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.971 * [taylor]: Taking taylor expansion of im in im
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [taylor]: Taking taylor expansion of 0 in im
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 0 into 0
6.971 * [backup-simplify]: Simplify 1 into 1
6.972 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.972 * [backup-simplify]: Simplify (* 1 1) into 1
6.972 * [backup-simplify]: Simplify (+ 0 1) into 1
6.973 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.973 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.973 * [taylor]: Taking taylor expansion of 1/2 in im
6.973 * [backup-simplify]: Simplify 1/2 into 1/2
6.973 * [taylor]: Taking taylor expansion of im in im
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 1 into 1
6.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify 0 into 0
6.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.975 * [backup-simplify]: Simplify (+ 0 0) into 0
6.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.975 * [taylor]: Taking taylor expansion of 0 in im
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.975 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.976 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.976 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.976 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.976 * [taylor]: Taking taylor expansion of re in im
6.976 * [backup-simplify]: Simplify re into re
6.976 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.976 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.976 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.976 * [taylor]: Taking taylor expansion of im in im
6.976 * [backup-simplify]: Simplify 0 into 0
6.976 * [backup-simplify]: Simplify 1 into 1
6.976 * [backup-simplify]: Simplify (* 1 1) into 1
6.977 * [backup-simplify]: Simplify (/ 1 1) into 1
6.977 * [backup-simplify]: Simplify (+ 0 1) into 1
6.977 * [backup-simplify]: Simplify (sqrt 1) into 1
6.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.979 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.979 * [taylor]: Taking taylor expansion of re in re
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 1 into 1
6.979 * [backup-simplify]: Simplify (* 1 1) into 1
6.979 * [backup-simplify]: Simplify (/ 1 1) into 1
6.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.979 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.979 * [taylor]: Taking taylor expansion of im in re
6.979 * [backup-simplify]: Simplify im into im
6.979 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.980 * [backup-simplify]: Simplify (+ 1 0) into 1
6.980 * [backup-simplify]: Simplify (sqrt 1) into 1
6.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.981 * [backup-simplify]: Simplify (+ 0 0) into 0
6.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.981 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.981 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.981 * [taylor]: Taking taylor expansion of re in re
6.981 * [backup-simplify]: Simplify 0 into 0
6.981 * [backup-simplify]: Simplify 1 into 1
6.982 * [backup-simplify]: Simplify (* 1 1) into 1
6.982 * [backup-simplify]: Simplify (/ 1 1) into 1
6.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.982 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.982 * [taylor]: Taking taylor expansion of im in re
6.982 * [backup-simplify]: Simplify im into im
6.982 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.982 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.982 * [backup-simplify]: Simplify (+ 1 0) into 1
6.983 * [backup-simplify]: Simplify (sqrt 1) into 1
6.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.984 * [backup-simplify]: Simplify (+ 0 0) into 0
6.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.984 * [taylor]: Taking taylor expansion of 1 in im
6.984 * [backup-simplify]: Simplify 1 into 1
6.984 * [taylor]: Taking taylor expansion of 0 in im
6.984 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify 1 into 1
6.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.985 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.986 * [taylor]: Taking taylor expansion of 1/2 in im
6.986 * [backup-simplify]: Simplify 1/2 into 1/2
6.986 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.986 * [taylor]: Taking taylor expansion of im in im
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify 1 into 1
6.987 * [backup-simplify]: Simplify (* 1 1) into 1
6.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.988 * [backup-simplify]: Simplify 0 into 0
6.988 * [backup-simplify]: Simplify 0 into 0
6.988 * [backup-simplify]: Simplify 0 into 0
6.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.989 * [backup-simplify]: Simplify (+ 0 0) into 0
6.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.990 * [taylor]: Taking taylor expansion of 0 in im
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.991 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.991 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.991 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.991 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.991 * [taylor]: Taking taylor expansion of re in im
6.991 * [backup-simplify]: Simplify re into re
6.991 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.991 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.991 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.991 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.992 * [taylor]: Taking taylor expansion of im in im
6.992 * [backup-simplify]: Simplify 0 into 0
6.992 * [backup-simplify]: Simplify 1 into 1
6.992 * [backup-simplify]: Simplify (* 1 1) into 1
6.992 * [backup-simplify]: Simplify (/ 1 1) into 1
6.992 * [backup-simplify]: Simplify (+ 0 1) into 1
6.993 * [backup-simplify]: Simplify (sqrt 1) into 1
6.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.994 * [backup-simplify]: Simplify (+ 0 0) into 0
6.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.994 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.994 * [taylor]: Taking taylor expansion of re in re
6.994 * [backup-simplify]: Simplify 0 into 0
6.994 * [backup-simplify]: Simplify 1 into 1
6.994 * [backup-simplify]: Simplify (* 1 1) into 1
6.995 * [backup-simplify]: Simplify (/ 1 1) into 1
6.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.995 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.995 * [taylor]: Taking taylor expansion of im in re
6.995 * [backup-simplify]: Simplify im into im
6.995 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.995 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.995 * [backup-simplify]: Simplify (+ 1 0) into 1
6.995 * [backup-simplify]: Simplify (sqrt 1) into 1
6.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.996 * [backup-simplify]: Simplify (+ 0 0) into 0
6.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.997 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.997 * [taylor]: Taking taylor expansion of re in re
6.997 * [backup-simplify]: Simplify 0 into 0
6.997 * [backup-simplify]: Simplify 1 into 1
6.997 * [backup-simplify]: Simplify (* 1 1) into 1
6.997 * [backup-simplify]: Simplify (/ 1 1) into 1
6.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.997 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.997 * [taylor]: Taking taylor expansion of im in re
6.998 * [backup-simplify]: Simplify im into im
6.998 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.998 * [backup-simplify]: Simplify (+ 1 0) into 1
6.998 * [backup-simplify]: Simplify (sqrt 1) into 1
6.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.999 * [backup-simplify]: Simplify (+ 0 0) into 0
7.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.000 * [taylor]: Taking taylor expansion of 1 in im
7.000 * [backup-simplify]: Simplify 1 into 1
7.000 * [taylor]: Taking taylor expansion of 0 in im
7.000 * [backup-simplify]: Simplify 0 into 0
7.000 * [backup-simplify]: Simplify 1 into 1
7.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.002 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.002 * [taylor]: Taking taylor expansion of 1/2 in im
7.002 * [backup-simplify]: Simplify 1/2 into 1/2
7.002 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.002 * [taylor]: Taking taylor expansion of im in im
7.002 * [backup-simplify]: Simplify 0 into 0
7.002 * [backup-simplify]: Simplify 1 into 1
7.002 * [backup-simplify]: Simplify (* 1 1) into 1
7.003 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.007 * [backup-simplify]: Simplify (+ 0 0) into 0
7.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.008 * [taylor]: Taking taylor expansion of 0 in im
7.008 * [backup-simplify]: Simplify 0 into 0
7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.010 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
7.010 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
7.010 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.010 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.010 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.010 * [taylor]: Taking taylor expansion of im in im
7.010 * [backup-simplify]: Simplify 0 into 0
7.010 * [backup-simplify]: Simplify 1 into 1
7.010 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.010 * [taylor]: Taking taylor expansion of re in im
7.010 * [backup-simplify]: Simplify re into re
7.010 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.011 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.011 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.011 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.011 * [backup-simplify]: Simplify (+ 0 0) into 0
7.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.011 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.011 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.011 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.011 * [taylor]: Taking taylor expansion of im in re
7.011 * [backup-simplify]: Simplify im into im
7.011 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.011 * [taylor]: Taking taylor expansion of re in re
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.012 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.012 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.012 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.012 * [backup-simplify]: Simplify (+ 0 0) into 0
7.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.012 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.012 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.012 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.012 * [taylor]: Taking taylor expansion of im in re
7.012 * [backup-simplify]: Simplify im into im
7.012 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.012 * [taylor]: Taking taylor expansion of re in re
7.012 * [backup-simplify]: Simplify 0 into 0
7.012 * [backup-simplify]: Simplify 1 into 1
7.012 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.013 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.013 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.013 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.013 * [backup-simplify]: Simplify (+ 0 0) into 0
7.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.013 * [taylor]: Taking taylor expansion of im in im
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 1 into 1
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [taylor]: Taking taylor expansion of 0 in im
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 0 into 0
7.013 * [backup-simplify]: Simplify 1 into 1
7.014 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.014 * [backup-simplify]: Simplify (* 1 1) into 1
7.015 * [backup-simplify]: Simplify (+ 0 1) into 1
7.015 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.015 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.015 * [taylor]: Taking taylor expansion of 1/2 in im
7.015 * [backup-simplify]: Simplify 1/2 into 1/2
7.015 * [taylor]: Taking taylor expansion of im in im
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.018 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.018 * [taylor]: Taking taylor expansion of 0 in im
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.020 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.020 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.020 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.020 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.020 * [taylor]: Taking taylor expansion of re in im
7.020 * [backup-simplify]: Simplify re into re
7.020 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.020 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.020 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.020 * [taylor]: Taking taylor expansion of im in im
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 1 into 1
7.020 * [backup-simplify]: Simplify (* 1 1) into 1
7.021 * [backup-simplify]: Simplify (/ 1 1) into 1
7.021 * [backup-simplify]: Simplify (+ 0 1) into 1
7.021 * [backup-simplify]: Simplify (sqrt 1) into 1
7.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.023 * [backup-simplify]: Simplify (+ 0 0) into 0
7.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.024 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.024 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.024 * [taylor]: Taking taylor expansion of re in re
7.024 * [backup-simplify]: Simplify 0 into 0
7.024 * [backup-simplify]: Simplify 1 into 1
7.024 * [backup-simplify]: Simplify (* 1 1) into 1
7.024 * [backup-simplify]: Simplify (/ 1 1) into 1
7.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.024 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.025 * [taylor]: Taking taylor expansion of im in re
7.025 * [backup-simplify]: Simplify im into im
7.025 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.025 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.025 * [backup-simplify]: Simplify (+ 1 0) into 1
7.025 * [backup-simplify]: Simplify (sqrt 1) into 1
7.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.027 * [backup-simplify]: Simplify (+ 0 0) into 0
7.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.028 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.028 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.028 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.028 * [taylor]: Taking taylor expansion of re in re
7.028 * [backup-simplify]: Simplify 0 into 0
7.028 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (* 1 1) into 1
7.028 * [backup-simplify]: Simplify (/ 1 1) into 1
7.028 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.028 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.028 * [taylor]: Taking taylor expansion of im in re
7.028 * [backup-simplify]: Simplify im into im
7.028 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.029 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.029 * [backup-simplify]: Simplify (+ 1 0) into 1
7.029 * [backup-simplify]: Simplify (sqrt 1) into 1
7.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.031 * [backup-simplify]: Simplify (+ 0 0) into 0
7.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.032 * [taylor]: Taking taylor expansion of 1 in im
7.032 * [backup-simplify]: Simplify 1 into 1
7.032 * [taylor]: Taking taylor expansion of 0 in im
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 1 into 1
7.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.034 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.036 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.036 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.036 * [taylor]: Taking taylor expansion of 1/2 in im
7.036 * [backup-simplify]: Simplify 1/2 into 1/2
7.036 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.036 * [taylor]: Taking taylor expansion of im in im
7.036 * [backup-simplify]: Simplify 0 into 0
7.036 * [backup-simplify]: Simplify 1 into 1
7.036 * [backup-simplify]: Simplify (* 1 1) into 1
7.037 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.041 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.042 * [backup-simplify]: Simplify (+ 0 0) into 0
7.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.043 * [taylor]: Taking taylor expansion of 0 in im
7.043 * [backup-simplify]: Simplify 0 into 0
7.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 0 into 0
7.046 * [backup-simplify]: Simplify 0 into 0
7.046 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.046 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.046 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.046 * [taylor]: Taking taylor expansion of re in im
7.046 * [backup-simplify]: Simplify re into re
7.046 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.046 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.046 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.047 * [taylor]: Taking taylor expansion of im in im
7.047 * [backup-simplify]: Simplify 0 into 0
7.047 * [backup-simplify]: Simplify 1 into 1
7.047 * [backup-simplify]: Simplify (* 1 1) into 1
7.047 * [backup-simplify]: Simplify (/ 1 1) into 1
7.048 * [backup-simplify]: Simplify (+ 0 1) into 1
7.048 * [backup-simplify]: Simplify (sqrt 1) into 1
7.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.051 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.051 * [taylor]: Taking taylor expansion of re in re
7.051 * [backup-simplify]: Simplify 0 into 0
7.051 * [backup-simplify]: Simplify 1 into 1
7.051 * [backup-simplify]: Simplify (* 1 1) into 1
7.052 * [backup-simplify]: Simplify (/ 1 1) into 1
7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.052 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.052 * [taylor]: Taking taylor expansion of im in re
7.052 * [backup-simplify]: Simplify im into im
7.052 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.052 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.053 * [backup-simplify]: Simplify (+ 1 0) into 1
7.053 * [backup-simplify]: Simplify (sqrt 1) into 1
7.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.055 * [backup-simplify]: Simplify (+ 0 0) into 0
7.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.056 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.056 * [taylor]: Taking taylor expansion of re in re
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 1 into 1
7.056 * [backup-simplify]: Simplify (* 1 1) into 1
7.057 * [backup-simplify]: Simplify (/ 1 1) into 1
7.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.057 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.057 * [taylor]: Taking taylor expansion of im in re
7.057 * [backup-simplify]: Simplify im into im
7.057 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.057 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.057 * [backup-simplify]: Simplify (+ 1 0) into 1
7.058 * [backup-simplify]: Simplify (sqrt 1) into 1
7.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.060 * [backup-simplify]: Simplify (+ 0 0) into 0
7.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.061 * [taylor]: Taking taylor expansion of 1 in im
7.061 * [backup-simplify]: Simplify 1 into 1
7.061 * [taylor]: Taking taylor expansion of 0 in im
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 1 into 1
7.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.063 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.064 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.064 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.064 * [taylor]: Taking taylor expansion of 1/2 in im
7.064 * [backup-simplify]: Simplify 1/2 into 1/2
7.064 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.064 * [taylor]: Taking taylor expansion of im in im
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 1 into 1
7.065 * [backup-simplify]: Simplify (* 1 1) into 1
7.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.067 * [backup-simplify]: Simplify 0 into 0
7.067 * [backup-simplify]: Simplify 0 into 0
7.067 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.070 * [backup-simplify]: Simplify (+ 0 0) into 0
7.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.071 * [taylor]: Taking taylor expansion of 0 in im
7.071 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.073 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
7.074 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
7.074 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
7.074 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
7.074 * [taylor]: Taking taylor expansion of re in im
7.074 * [backup-simplify]: Simplify re into re
7.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.074 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.074 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.074 * [taylor]: Taking taylor expansion of im in im
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.074 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.074 * [taylor]: Taking taylor expansion of re in im
7.074 * [backup-simplify]: Simplify re into re
7.074 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.074 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.074 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.074 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.075 * [backup-simplify]: Simplify (+ 0 0) into 0
7.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.075 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
7.075 * [taylor]: Taking taylor expansion of re in re
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 1 into 1
7.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.075 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.075 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.075 * [taylor]: Taking taylor expansion of im in re
7.075 * [backup-simplify]: Simplify im into im
7.075 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.075 * [taylor]: Taking taylor expansion of re in re
7.075 * [backup-simplify]: Simplify 0 into 0
7.075 * [backup-simplify]: Simplify 1 into 1
7.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.076 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.076 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.082 * [backup-simplify]: Simplify (+ 0 0) into 0
7.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.082 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
7.082 * [taylor]: Taking taylor expansion of re in re
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 1 into 1
7.082 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.082 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.082 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.082 * [taylor]: Taking taylor expansion of im in re
7.082 * [backup-simplify]: Simplify im into im
7.082 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.082 * [taylor]: Taking taylor expansion of re in re
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 1 into 1
7.083 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.083 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.083 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.083 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.084 * [backup-simplify]: Simplify (+ 0 0) into 0
7.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.084 * [backup-simplify]: Simplify (+ 0 im) into im
7.084 * [taylor]: Taking taylor expansion of im in im
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify (+ 1 0) into 1
7.085 * [taylor]: Taking taylor expansion of 1 in im
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.086 * [backup-simplify]: Simplify (* 1 1) into 1
7.086 * [backup-simplify]: Simplify (+ 0 1) into 1
7.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.087 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
7.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
7.087 * [taylor]: Taking taylor expansion of 1/2 in im
7.087 * [backup-simplify]: Simplify 1/2 into 1/2
7.087 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.087 * [taylor]: Taking taylor expansion of im in im
7.087 * [backup-simplify]: Simplify 0 into 0
7.087 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (/ 1 1) into 1
7.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.092 * [backup-simplify]: Simplify (+ 0 0) into 0
7.092 * [taylor]: Taking taylor expansion of 0 in im
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
7.095 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
7.095 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
7.095 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
7.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.095 * [taylor]: Taking taylor expansion of re in im
7.095 * [backup-simplify]: Simplify re into re
7.095 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.095 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.095 * [taylor]: Taking taylor expansion of re in im
7.095 * [backup-simplify]: Simplify re into re
7.095 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.095 * [taylor]: Taking taylor expansion of im in im
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (* 1 1) into 1
7.096 * [backup-simplify]: Simplify (/ 1 1) into 1
7.097 * [backup-simplify]: Simplify (+ 0 1) into 1
7.097 * [backup-simplify]: Simplify (sqrt 1) into 1
7.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.099 * [backup-simplify]: Simplify (+ 0 0) into 0
7.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.100 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.100 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.100 * [taylor]: Taking taylor expansion of re in re
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.100 * [backup-simplify]: Simplify (/ 1 1) into 1
7.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.100 * [taylor]: Taking taylor expansion of re in re
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 1 into 1
7.101 * [backup-simplify]: Simplify (* 1 1) into 1
7.101 * [backup-simplify]: Simplify (/ 1 1) into 1
7.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.101 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.101 * [taylor]: Taking taylor expansion of im in re
7.101 * [backup-simplify]: Simplify im into im
7.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.102 * [backup-simplify]: Simplify (+ 1 0) into 1
7.102 * [backup-simplify]: Simplify (sqrt 1) into 1
7.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.104 * [backup-simplify]: Simplify (+ 0 0) into 0
7.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.105 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
7.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.105 * [taylor]: Taking taylor expansion of re in re
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ 1 1) into 1
7.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.105 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.106 * [taylor]: Taking taylor expansion of re in re
7.106 * [backup-simplify]: Simplify 0 into 0
7.106 * [backup-simplify]: Simplify 1 into 1
7.106 * [backup-simplify]: Simplify (* 1 1) into 1
7.106 * [backup-simplify]: Simplify (/ 1 1) into 1
7.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.106 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.107 * [taylor]: Taking taylor expansion of im in re
7.107 * [backup-simplify]: Simplify im into im
7.107 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.107 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.107 * [backup-simplify]: Simplify (+ 1 0) into 1
7.108 * [backup-simplify]: Simplify (sqrt 1) into 1
7.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.109 * [backup-simplify]: Simplify (+ 0 0) into 0
7.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.111 * [backup-simplify]: Simplify (+ 1 1) into 2
7.111 * [taylor]: Taking taylor expansion of 2 in im
7.111 * [backup-simplify]: Simplify 2 into 2
7.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.112 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [taylor]: Taking taylor expansion of 0 in im
7.112 * [backup-simplify]: Simplify 0 into 0
7.112 * [backup-simplify]: Simplify 2 into 2
7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.115 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.117 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.117 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
7.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.117 * [taylor]: Taking taylor expansion of 1/2 in im
7.117 * [backup-simplify]: Simplify 1/2 into 1/2
7.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.117 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.117 * [taylor]: Taking taylor expansion of im in im
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 1 into 1
7.118 * [backup-simplify]: Simplify (* 1 1) into 1
7.118 * [backup-simplify]: Simplify (/ 1 1) into 1
7.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.124 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.125 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [taylor]: Taking taylor expansion of 0 in im
7.125 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.128 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify 0 into 0
7.129 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
7.129 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
7.129 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
7.130 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
7.130 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.130 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.130 * [taylor]: Taking taylor expansion of re in im
7.130 * [backup-simplify]: Simplify re into re
7.130 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.130 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.130 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.130 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.130 * [taylor]: Taking taylor expansion of im in im
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.130 * [backup-simplify]: Simplify (* 1 1) into 1
7.131 * [backup-simplify]: Simplify (/ 1 1) into 1
7.131 * [backup-simplify]: Simplify (+ 0 1) into 1
7.132 * [backup-simplify]: Simplify (sqrt 1) into 1
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.134 * [backup-simplify]: Simplify (+ 0 0) into 0
7.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.134 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.134 * [taylor]: Taking taylor expansion of re in im
7.134 * [backup-simplify]: Simplify re into re
7.134 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.134 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.135 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.135 * [taylor]: Taking taylor expansion of re in re
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 1 into 1
7.135 * [backup-simplify]: Simplify (* 1 1) into 1
7.135 * [backup-simplify]: Simplify (/ 1 1) into 1
7.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.135 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.135 * [taylor]: Taking taylor expansion of im in re
7.136 * [backup-simplify]: Simplify im into im
7.136 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.136 * [backup-simplify]: Simplify (+ 1 0) into 1
7.137 * [backup-simplify]: Simplify (sqrt 1) into 1
7.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.138 * [backup-simplify]: Simplify (+ 0 0) into 0
7.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.139 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.139 * [taylor]: Taking taylor expansion of re in re
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 1 into 1
7.140 * [backup-simplify]: Simplify (/ 1 1) into 1
7.140 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
7.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.140 * [taylor]: Taking taylor expansion of re in re
7.140 * [backup-simplify]: Simplify 0 into 0
7.140 * [backup-simplify]: Simplify 1 into 1
7.140 * [backup-simplify]: Simplify (* 1 1) into 1
7.141 * [backup-simplify]: Simplify (/ 1 1) into 1
7.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.141 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.141 * [taylor]: Taking taylor expansion of im in re
7.141 * [backup-simplify]: Simplify im into im
7.141 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.141 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.142 * [backup-simplify]: Simplify (+ 1 0) into 1
7.142 * [backup-simplify]: Simplify (sqrt 1) into 1
7.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.144 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.145 * [taylor]: Taking taylor expansion of re in re
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [backup-simplify]: Simplify (/ 1 1) into 1
7.146 * [backup-simplify]: Simplify (- 1) into -1
7.146 * [backup-simplify]: Simplify (+ 1 -1) into 0
7.146 * [taylor]: Taking taylor expansion of 0 in im
7.146 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.147 * [backup-simplify]: Simplify (- 0) into 0
7.148 * [backup-simplify]: Simplify (+ 0 0) into 0
7.148 * [taylor]: Taking taylor expansion of 0 in im
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.150 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.151 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.152 * [backup-simplify]: Simplify (- 0) into 0
7.153 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
7.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
7.153 * [taylor]: Taking taylor expansion of 1/2 in im
7.153 * [backup-simplify]: Simplify 1/2 into 1/2
7.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.153 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.153 * [taylor]: Taking taylor expansion of im in im
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 1 into 1
7.153 * [backup-simplify]: Simplify (* 1 1) into 1
7.154 * [backup-simplify]: Simplify (/ 1 1) into 1
7.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 0 into 0
7.156 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.159 * [backup-simplify]: Simplify (+ 0 0) into 0
7.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.161 * [backup-simplify]: Simplify (- 0) into 0
7.161 * [backup-simplify]: Simplify (+ 0 0) into 0
7.161 * [taylor]: Taking taylor expansion of 0 in im
7.161 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
7.165 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
7.165 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
7.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
7.165 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
7.165 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.165 * [taylor]: Taking taylor expansion of im in im
7.165 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify 1 into 1
7.165 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.165 * [taylor]: Taking taylor expansion of re in im
7.165 * [backup-simplify]: Simplify re into re
7.165 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.165 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
7.165 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.166 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.166 * [backup-simplify]: Simplify (+ 0 0) into 0
7.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.166 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.166 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.166 * [taylor]: Taking taylor expansion of im in re
7.166 * [backup-simplify]: Simplify im into im
7.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.166 * [taylor]: Taking taylor expansion of re in re
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify 1 into 1
7.166 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.167 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.167 * [backup-simplify]: Simplify (+ 0 0) into 0
7.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
7.167 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
7.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.167 * [taylor]: Taking taylor expansion of im in re
7.167 * [backup-simplify]: Simplify im into im
7.167 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.167 * [taylor]: Taking taylor expansion of re in re
7.168 * [backup-simplify]: Simplify 0 into 0
7.168 * [backup-simplify]: Simplify 1 into 1
7.168 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.168 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
7.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.168 * [backup-simplify]: Simplify (+ 0 0) into 0
7.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.169 * [taylor]: Taking taylor expansion of im in im
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [taylor]: Taking taylor expansion of 0 in im
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.169 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.170 * [backup-simplify]: Simplify (* 1 1) into 1
7.170 * [backup-simplify]: Simplify (+ 0 1) into 1
7.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.171 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.171 * [taylor]: Taking taylor expansion of 1/2 in im
7.171 * [backup-simplify]: Simplify 1/2 into 1/2
7.171 * [taylor]: Taking taylor expansion of im in im
7.171 * [backup-simplify]: Simplify 0 into 0
7.171 * [backup-simplify]: Simplify 1 into 1
7.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify 0 into 0
7.172 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.174 * [backup-simplify]: Simplify (+ 0 0) into 0
7.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.174 * [taylor]: Taking taylor expansion of 0 in im
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.176 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.176 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.176 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.176 * [taylor]: Taking taylor expansion of re in im
7.176 * [backup-simplify]: Simplify re into re
7.176 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.176 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.176 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.176 * [taylor]: Taking taylor expansion of im in im
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.177 * [backup-simplify]: Simplify (* 1 1) into 1
7.177 * [backup-simplify]: Simplify (/ 1 1) into 1
7.177 * [backup-simplify]: Simplify (+ 0 1) into 1
7.178 * [backup-simplify]: Simplify (sqrt 1) into 1
7.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.179 * [backup-simplify]: Simplify (+ 0 0) into 0
7.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.180 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.180 * [taylor]: Taking taylor expansion of re in re
7.180 * [backup-simplify]: Simplify 0 into 0
7.180 * [backup-simplify]: Simplify 1 into 1
7.180 * [backup-simplify]: Simplify (* 1 1) into 1
7.181 * [backup-simplify]: Simplify (/ 1 1) into 1
7.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.181 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.181 * [taylor]: Taking taylor expansion of im in re
7.181 * [backup-simplify]: Simplify im into im
7.181 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.181 * [backup-simplify]: Simplify (+ 1 0) into 1
7.182 * [backup-simplify]: Simplify (sqrt 1) into 1
7.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.183 * [backup-simplify]: Simplify (+ 0 0) into 0
7.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.184 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.184 * [taylor]: Taking taylor expansion of re in re
7.184 * [backup-simplify]: Simplify 0 into 0
7.184 * [backup-simplify]: Simplify 1 into 1
7.185 * [backup-simplify]: Simplify (* 1 1) into 1
7.185 * [backup-simplify]: Simplify (/ 1 1) into 1
7.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.185 * [taylor]: Taking taylor expansion of im in re
7.185 * [backup-simplify]: Simplify im into im
7.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.186 * [backup-simplify]: Simplify (+ 1 0) into 1
7.186 * [backup-simplify]: Simplify (sqrt 1) into 1
7.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.188 * [backup-simplify]: Simplify (+ 0 0) into 0
7.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.189 * [taylor]: Taking taylor expansion of 1 in im
7.189 * [backup-simplify]: Simplify 1 into 1
7.189 * [taylor]: Taking taylor expansion of 0 in im
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify 1 into 1
7.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.191 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.192 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.192 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.192 * [taylor]: Taking taylor expansion of 1/2 in im
7.192 * [backup-simplify]: Simplify 1/2 into 1/2
7.192 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.192 * [taylor]: Taking taylor expansion of im in im
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [backup-simplify]: Simplify 1 into 1
7.192 * [backup-simplify]: Simplify (* 1 1) into 1
7.193 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.197 * [backup-simplify]: Simplify (+ 0 0) into 0
7.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.197 * [taylor]: Taking taylor expansion of 0 in im
7.197 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.200 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
7.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.200 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.200 * [taylor]: Taking taylor expansion of re in im
7.200 * [backup-simplify]: Simplify re into re
7.200 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.200 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.200 * [taylor]: Taking taylor expansion of im in im
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify 1 into 1
7.201 * [backup-simplify]: Simplify (* 1 1) into 1
7.201 * [backup-simplify]: Simplify (/ 1 1) into 1
7.201 * [backup-simplify]: Simplify (+ 0 1) into 1
7.202 * [backup-simplify]: Simplify (sqrt 1) into 1
7.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.203 * [backup-simplify]: Simplify (+ 0 0) into 0
7.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.204 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.204 * [taylor]: Taking taylor expansion of re in re
7.204 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify 1 into 1
7.205 * [backup-simplify]: Simplify (* 1 1) into 1
7.205 * [backup-simplify]: Simplify (/ 1 1) into 1
7.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.205 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.205 * [taylor]: Taking taylor expansion of im in re
7.205 * [backup-simplify]: Simplify im into im
7.205 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.206 * [backup-simplify]: Simplify (+ 1 0) into 1
7.206 * [backup-simplify]: Simplify (sqrt 1) into 1
7.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.208 * [backup-simplify]: Simplify (+ 0 0) into 0
7.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.209 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.209 * [taylor]: Taking taylor expansion of re in re
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [backup-simplify]: Simplify 1 into 1
7.209 * [backup-simplify]: Simplify (* 1 1) into 1
7.210 * [backup-simplify]: Simplify (/ 1 1) into 1
7.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.210 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.210 * [taylor]: Taking taylor expansion of im in re
7.210 * [backup-simplify]: Simplify im into im
7.210 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.211 * [backup-simplify]: Simplify (+ 1 0) into 1
7.211 * [backup-simplify]: Simplify (sqrt 1) into 1
7.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.213 * [backup-simplify]: Simplify (+ 0 0) into 0
7.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.214 * [taylor]: Taking taylor expansion of 1 in im
7.214 * [backup-simplify]: Simplify 1 into 1
7.214 * [taylor]: Taking taylor expansion of 0 in im
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify 1 into 1
7.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.218 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.218 * [taylor]: Taking taylor expansion of 1/2 in im
7.218 * [backup-simplify]: Simplify 1/2 into 1/2
7.218 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.218 * [taylor]: Taking taylor expansion of im in im
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 1 into 1
7.219 * [backup-simplify]: Simplify (* 1 1) into 1
7.220 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify 0 into 0
7.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.224 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.225 * [backup-simplify]: Simplify (+ 0 0) into 0
7.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.226 * [taylor]: Taking taylor expansion of 0 in im
7.226 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.228 * * * [progress]: simplifying candidates
7.228 * * * * [progress]: [ 1 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) 1/2))) re)))))>
7.228 * * * * [progress]: [ 2 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (sqrt (+ (* re re) (* im im))) 1))) re)))))>
7.228 * * * * [progress]: [ 3 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) re)))))>
7.228 * * * * [progress]: [ 4 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (log (exp (sqrt (+ (* re re) (* im im))))))) re)))))>
7.228 * * * * [progress]: [ 5 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.228 * * * * [progress]: [ 6 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) re)))))>
7.229 * * * * [progress]: [ 7 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
7.229 * * * * [progress]: [ 8 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.229 * * * * [progress]: [ 9 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) re)))))>
7.229 * * * * [progress]: [ 10 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
7.229 * * * * [progress]: [ 11 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) re)))))>
7.229 * * * * [progress]: [ 12 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) re)))))>
7.229 * * * * [progress]: [ 13 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.229 * * * * [progress]: [ 14 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) re)))))>
7.229 * * * * [progress]: [ 15 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) re)))))>
7.229 * * * * [progress]: [ 16 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))>
7.229 * * * * [progress]: [ 17 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.229 * * * * [progress]: [ 18 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.229 * * * * [progress]: [ 19 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 20 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 21 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 22 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 23 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 24 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 25 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 26 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 27 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 28 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 29 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 30 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 31 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.230 * * * * [progress]: [ 32 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.231 * * * * [progress]: [ 33 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)))))))>
7.231 * * * * [progress]: [ 34 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) 1)))))>
7.231 * * * * [progress]: [ 35 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.231 * * * * [progress]: [ 36 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.231 * * * * [progress]: [ 37 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.231 * * * * [progress]: [ 38 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.231 * * * * [progress]: [ 39 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.231 * * * * [progress]: [ 40 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))))>
7.231 * * * * [progress]: [ 41 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))>
7.231 * * * * [progress]: [ 42 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))))>
7.231 * * * * [progress]: [ 43 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
7.231 * * * * [progress]: [ 44 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))))>
7.231 * * * * [progress]: [ 45 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 1/2)) re)))))>
7.231 * * * * [progress]: [ 46 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ 1/2 (/ 1 2))) re)))))>
7.232 * * * * [progress]: [ 47 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
7.232 * * * * [progress]: [ 48 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ 1/2 2))) re)))))>
7.232 * * * * [progress]: [ 49 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) re)))))>
7.232 * * * * [progress]: [ 50 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) 1/2)) re)))))>
7.232 * * * * [progress]: [ 51 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (+ (/ 1 2) (/ 1 2))) re)))))>
7.232 * * * * [progress]: [ 52 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) re)))))>
7.232 * * * * [progress]: [ 53 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) re)))))>
7.232 * * * * [progress]: [ 54 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) 1/2) re)))))>
7.232 * * * * [progress]: [ 55 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 1) re)))))>
7.232 * * * * [progress]: [ 56 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ 1/2 2)) re)))))>
7.232 * * * * [progress]: [ 57 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (/ 1 2)) re)))))>
7.232 * * * * [progress]: [ 58 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (/ (/ 1 2) 2)) re)))))>
7.232 * * * * [progress]: [ 59 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re)))))>
7.233 * * * * [progress]: [ 60 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
7.233 * * * * [progress]: [ 61 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 1) re)))))>
7.233 * * * * [progress]: [ 62 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 63 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 64 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 65 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 66 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 67 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (cbrt (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 68 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
7.233 * * * * [progress]: [ 69 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.233 * * * * [progress]: [ 70 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
7.233 * * * * [progress]: [ 71 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
7.233 * * * * [progress]: [ 72 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))) re)))))>
7.234 * * * * [progress]: [ 73 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) re)))))>
7.234 * * * * [progress]: [ 74 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))) re)))))>
7.234 * * * * [progress]: [ 75 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.234 * * * * [progress]: [ 76 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.234 * * * * [progress]: [ 77 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (sqrt (* (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))))))) re)))))>
7.234 * * * * [progress]: [ 78 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))) re)))))>
7.234 * * * * [progress]: [ 79 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.234 * * * * [progress]: [ 80 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.234 * * * * [progress]: [ 81 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.234 * * * * [progress]: [ 82 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.234 * * * * [progress]: [ 83 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 84 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 85 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 86 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.235 * * * * [progress]: [ 87 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 88 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 89 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 90 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* 1 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.235 * * * * [progress]: [ 91 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 92 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 93 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 94 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.235 * * * * [progress]: [ 95 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.236 * * * * [progress]: [ 96 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.236 * * * * [progress]: [ 97 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.236 * * * * [progress]: [ 98 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.236 * * * * [progress]: [ 99 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.236 * * * * [progress]: [ 100 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re)))))>
7.236 * * * * [progress]: [ 101 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re)))))>
7.236 * * * * [progress]: [ 102 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re)))))>
7.236 * * * * [progress]: [ 103 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re)))))>
7.236 * * * * [progress]: [ 104 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re)))))>
7.236 * * * * [progress]: [ 105 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.236 * * * * [progress]: [ 106 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.236 * * * * [progress]: [ 107 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))>
7.236 * * * * [progress]: [ 108 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 109 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.237 * * * * [progress]: [ 110 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 111 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.237 * * * * [progress]: [ 112 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 113 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.237 * * * * [progress]: [ 114 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 115 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 116 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 117 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 118 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 119 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 120 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 121 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.237 * * * * [progress]: [ 122 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
7.238 * * * * [progress]: [ 123 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re)))))>
7.238 * * * * [progress]: [ 124 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
7.238 * * * * [progress]: [ 125 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) re)))))>
7.238 * * * * [progress]: [ 126 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (- (* re re) (* im im))))) re)))))>
7.238 * * * * [progress]: [ 127 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) re)))))>
7.238 * * * * [progress]: [ 128 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.238 * * * * [progress]: [ 129 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re)))))>
7.238 * * * * [progress]: [ 130 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))>
7.238 * * * * [progress]: [ 131 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* -1 re))) re)))))>
7.238 * * * * [progress]: [ 132 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.238 * * * * [progress]: [ 133 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.238 * * * * [progress]: [ 134 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* -1 re)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.238 * * * * [progress]: [ 135 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
7.238 * * * * [progress]: [ 136 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
7.238 * * * * [progress]: [ 137 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
7.238 * * * * [progress]: [ 138 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
7.239 * * * * [progress]: [ 139 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
7.239 * * * * [progress]: [ 140 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
7.247 * [simplify]: Simplifying:
  (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))))
  (real->posit16 (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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re))
  (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3))
  (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re))
  (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
  (real->posit16 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))))
  (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
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  (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))
  (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
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  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (- (* re re) (* im im)))))
  (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))
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  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 1 1)
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
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  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* 2 1/2)
  (* 2 1)
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  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))))
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  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) 1)
  (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))
  (real->posit16 (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
7.252 * * [simplify]: iteration 0: 136 enodes
7.321 * * [simplify]: iteration 1: 295 enodes
7.413 * * [simplify]: iteration 2: 660 enodes
7.760 * * [simplify]: iteration 3: 1762 enodes
8.539 * * [simplify]: iteration complete: 5000 enodes
8.539 * * [simplify]: Extracting #0: cost 48 inf + 0
8.540 * * [simplify]: Extracting #1: cost 342 inf + 47
8.544 * * [simplify]: Extracting #2: cost 1086 inf + 1548
8.553 * * [simplify]: Extracting #3: cost 1443 inf + 30872
8.596 * * [simplify]: Extracting #4: cost 886 inf + 203890
8.737 * * [simplify]: Extracting #5: cost 131 inf + 456620
8.866 * * [simplify]: Extracting #6: cost 45 inf + 500449
9.024 * * [simplify]: Extracting #7: cost 9 inf + 505406
9.171 * * [simplify]: Extracting #8: cost 0 inf + 507923
9.314 * [simplify]: Simplified to:
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (fabs (cbrt (+ (* im im) (* re re))))
  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re)))))
  (cbrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
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  (sqrt (cbrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  (sqrt (+ (* im im) (* re re)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (* (+ re im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  (exp (+ (sqrt (+ (* im im) (* re re))) re))
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  (exp (+ (sqrt (+ (* im im) (* re re))) re))
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  (cbrt (+ (sqrt (+ (* im im) (* re re))) re))
  (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re)))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (sqrt (+ (sqrt (+ (* im im) (* re re))) re))
  (+ (* re (* re re)) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))))
  (- (+ (* re re) (+ (* im im) (* re re))) (* (sqrt (+ (* im im) (* re re))) re))
  (* im im)
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  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* im im) (* re re))
  (sqrt (+ (* im im) (* re re)))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))
  2
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  (log (sqrt (+ (* im im) (* re re))))
  (exp (sqrt (+ (* im im) (* re re))))
  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
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  (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re)))
  (+ (* im im) (* re re))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (* (+ re im) (- re im)))) (sqrt (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (* (+ re im) (- re im)))) (sqrt (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))))
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  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re))))))
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  1
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  1
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  1
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  (sqrt (sqrt (+ (* im im) (* re re))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  1
  2
  1/2
  1
  1/2
  (* (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (sqrt (+ (* im im) (* re re)))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (fabs (cbrt (sqrt (+ (* im im) (* re re))))))
  (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (sqrt (+ (* im im) (* re re))))
  (* (cbrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (cbrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (sqrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re)))))
  (sqrt (+ (* im im) (* re re)))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
  (real->posit16 (sqrt (+ (* im im) (* re re))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
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  0
  im
  re
  (- re)
9.338 * * * [progress]: adding candidates to table
9.967 * * [progress]: iteration 4 / 4
9.967 * * * [progress]: picking best candidate
9.992 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
9.992 * * * [progress]: localizing error
10.050 * * * [progress]: generating rewritten candidates
10.050 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
10.060 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 2 1 1)
10.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1)
10.076 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
10.085 * * * [progress]: generating series expansions
10.085 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
10.085 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.085 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.085 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.085 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.085 * [taylor]: Taking taylor expansion of im in im
10.085 * [backup-simplify]: Simplify 0 into 0
10.085 * [backup-simplify]: Simplify 1 into 1
10.085 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.085 * [taylor]: Taking taylor expansion of re in im
10.085 * [backup-simplify]: Simplify re into re
10.085 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.085 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.085 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.086 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.086 * [backup-simplify]: Simplify (+ 0 0) into 0
10.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.086 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.086 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.086 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.086 * [taylor]: Taking taylor expansion of im in re
10.086 * [backup-simplify]: Simplify im into im
10.086 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.086 * [taylor]: Taking taylor expansion of re in re
10.086 * [backup-simplify]: Simplify 0 into 0
10.086 * [backup-simplify]: Simplify 1 into 1
10.086 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.087 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.087 * [backup-simplify]: Simplify (+ 0 0) into 0
10.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.087 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.087 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.087 * [taylor]: Taking taylor expansion of im in re
10.087 * [backup-simplify]: Simplify im into im
10.087 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.087 * [taylor]: Taking taylor expansion of re in re
10.087 * [backup-simplify]: Simplify 0 into 0
10.087 * [backup-simplify]: Simplify 1 into 1
10.087 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.087 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.088 * [backup-simplify]: Simplify (+ 0 0) into 0
10.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.088 * [taylor]: Taking taylor expansion of im in im
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 1 into 1
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [taylor]: Taking taylor expansion of 0 in im
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 0 into 0
10.088 * [backup-simplify]: Simplify 1 into 1
10.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.089 * [backup-simplify]: Simplify (* 1 1) into 1
10.089 * [backup-simplify]: Simplify (+ 0 1) into 1
10.089 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.089 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.089 * [taylor]: Taking taylor expansion of 1/2 in im
10.089 * [backup-simplify]: Simplify 1/2 into 1/2
10.089 * [taylor]: Taking taylor expansion of im in im
10.089 * [backup-simplify]: Simplify 0 into 0
10.090 * [backup-simplify]: Simplify 1 into 1
10.090 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.091 * [backup-simplify]: Simplify 0 into 0
10.092 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.093 * [backup-simplify]: Simplify (+ 0 0) into 0
10.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.093 * [taylor]: Taking taylor expansion of 0 in im
10.093 * [backup-simplify]: Simplify 0 into 0
10.093 * [backup-simplify]: Simplify 0 into 0
10.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.094 * [backup-simplify]: Simplify 0 into 0
10.094 * [backup-simplify]: Simplify 0 into 0
10.094 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.094 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.094 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.094 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.094 * [taylor]: Taking taylor expansion of re in im
10.094 * [backup-simplify]: Simplify re into re
10.095 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.095 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.095 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.095 * [taylor]: Taking taylor expansion of im in im
10.095 * [backup-simplify]: Simplify 0 into 0
10.095 * [backup-simplify]: Simplify 1 into 1
10.095 * [backup-simplify]: Simplify (* 1 1) into 1
10.096 * [backup-simplify]: Simplify (/ 1 1) into 1
10.096 * [backup-simplify]: Simplify (+ 0 1) into 1
10.096 * [backup-simplify]: Simplify (sqrt 1) into 1
10.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.098 * [backup-simplify]: Simplify (+ 0 0) into 0
10.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.099 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.099 * [taylor]: Taking taylor expansion of re in re
10.099 * [backup-simplify]: Simplify 0 into 0
10.099 * [backup-simplify]: Simplify 1 into 1
10.099 * [backup-simplify]: Simplify (* 1 1) into 1
10.100 * [backup-simplify]: Simplify (/ 1 1) into 1
10.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.100 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.100 * [taylor]: Taking taylor expansion of im in re
10.100 * [backup-simplify]: Simplify im into im
10.100 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.101 * [backup-simplify]: Simplify (+ 1 0) into 1
10.101 * [backup-simplify]: Simplify (sqrt 1) into 1
10.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.103 * [backup-simplify]: Simplify (+ 0 0) into 0
10.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.104 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.104 * [taylor]: Taking taylor expansion of re in re
10.104 * [backup-simplify]: Simplify 0 into 0
10.104 * [backup-simplify]: Simplify 1 into 1
10.104 * [backup-simplify]: Simplify (* 1 1) into 1
10.104 * [backup-simplify]: Simplify (/ 1 1) into 1
10.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.104 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.104 * [taylor]: Taking taylor expansion of im in re
10.105 * [backup-simplify]: Simplify im into im
10.105 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.105 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.105 * [backup-simplify]: Simplify (+ 1 0) into 1
10.106 * [backup-simplify]: Simplify (sqrt 1) into 1
10.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.107 * [backup-simplify]: Simplify (+ 0 0) into 0
10.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.108 * [taylor]: Taking taylor expansion of 1 in im
10.108 * [backup-simplify]: Simplify 1 into 1
10.108 * [taylor]: Taking taylor expansion of 0 in im
10.108 * [backup-simplify]: Simplify 0 into 0
10.108 * [backup-simplify]: Simplify 1 into 1
10.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.112 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.112 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.112 * [taylor]: Taking taylor expansion of 1/2 in im
10.112 * [backup-simplify]: Simplify 1/2 into 1/2
10.112 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.112 * [taylor]: Taking taylor expansion of im in im
10.112 * [backup-simplify]: Simplify 0 into 0
10.112 * [backup-simplify]: Simplify 1 into 1
10.112 * [backup-simplify]: Simplify (* 1 1) into 1
10.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.119 * [backup-simplify]: Simplify 0 into 0
10.119 * [backup-simplify]: Simplify 0 into 0
10.119 * [backup-simplify]: Simplify 0 into 0
10.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.120 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.121 * [backup-simplify]: Simplify (+ 0 0) into 0
10.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.121 * [taylor]: Taking taylor expansion of 0 in im
10.121 * [backup-simplify]: Simplify 0 into 0
10.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.122 * [backup-simplify]: Simplify 0 into 0
10.122 * [backup-simplify]: Simplify 0 into 0
10.122 * [backup-simplify]: Simplify 0 into 0
10.123 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.123 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.123 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.123 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.123 * [taylor]: Taking taylor expansion of re in im
10.123 * [backup-simplify]: Simplify re into re
10.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.123 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.123 * [taylor]: Taking taylor expansion of im in im
10.123 * [backup-simplify]: Simplify 0 into 0
10.123 * [backup-simplify]: Simplify 1 into 1
10.123 * [backup-simplify]: Simplify (* 1 1) into 1
10.124 * [backup-simplify]: Simplify (/ 1 1) into 1
10.124 * [backup-simplify]: Simplify (+ 0 1) into 1
10.124 * [backup-simplify]: Simplify (sqrt 1) into 1
10.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.125 * [backup-simplify]: Simplify (+ 0 0) into 0
10.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.126 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.126 * [taylor]: Taking taylor expansion of re in re
10.126 * [backup-simplify]: Simplify 0 into 0
10.126 * [backup-simplify]: Simplify 1 into 1
10.126 * [backup-simplify]: Simplify (* 1 1) into 1
10.126 * [backup-simplify]: Simplify (/ 1 1) into 1
10.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.126 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.126 * [taylor]: Taking taylor expansion of im in re
10.126 * [backup-simplify]: Simplify im into im
10.126 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.127 * [backup-simplify]: Simplify (+ 1 0) into 1
10.127 * [backup-simplify]: Simplify (sqrt 1) into 1
10.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.128 * [backup-simplify]: Simplify (+ 0 0) into 0
10.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.129 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.129 * [taylor]: Taking taylor expansion of re in re
10.129 * [backup-simplify]: Simplify 0 into 0
10.129 * [backup-simplify]: Simplify 1 into 1
10.129 * [backup-simplify]: Simplify (* 1 1) into 1
10.129 * [backup-simplify]: Simplify (/ 1 1) into 1
10.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.129 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.129 * [taylor]: Taking taylor expansion of im in re
10.129 * [backup-simplify]: Simplify im into im
10.129 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.130 * [backup-simplify]: Simplify (+ 1 0) into 1
10.130 * [backup-simplify]: Simplify (sqrt 1) into 1
10.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.131 * [backup-simplify]: Simplify (+ 0 0) into 0
10.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.131 * [taylor]: Taking taylor expansion of 1 in im
10.131 * [backup-simplify]: Simplify 1 into 1
10.131 * [taylor]: Taking taylor expansion of 0 in im
10.131 * [backup-simplify]: Simplify 0 into 0
10.131 * [backup-simplify]: Simplify 1 into 1
10.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.133 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.133 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.133 * [taylor]: Taking taylor expansion of 1/2 in im
10.133 * [backup-simplify]: Simplify 1/2 into 1/2
10.133 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.133 * [taylor]: Taking taylor expansion of im in im
10.133 * [backup-simplify]: Simplify 0 into 0
10.133 * [backup-simplify]: Simplify 1 into 1
10.134 * [backup-simplify]: Simplify (* 1 1) into 1
10.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.135 * [backup-simplify]: Simplify 0 into 0
10.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.137 * [backup-simplify]: Simplify (+ 0 0) into 0
10.137 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.137 * [taylor]: Taking taylor expansion of 0 in im
10.137 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify 0 into 0
10.138 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.138 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 2 1 1)
10.138 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.138 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.139 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.139 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.139 * [taylor]: Taking taylor expansion of im in im
10.139 * [backup-simplify]: Simplify 0 into 0
10.139 * [backup-simplify]: Simplify 1 into 1
10.139 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.139 * [taylor]: Taking taylor expansion of re in im
10.139 * [backup-simplify]: Simplify re into re
10.139 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.139 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.139 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.139 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.139 * [backup-simplify]: Simplify (+ 0 0) into 0
10.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.139 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.139 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.139 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.139 * [taylor]: Taking taylor expansion of im in re
10.139 * [backup-simplify]: Simplify im into im
10.139 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.139 * [taylor]: Taking taylor expansion of re in re
10.139 * [backup-simplify]: Simplify 0 into 0
10.139 * [backup-simplify]: Simplify 1 into 1
10.139 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.139 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.140 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.140 * [backup-simplify]: Simplify (+ 0 0) into 0
10.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.140 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.140 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.140 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.140 * [taylor]: Taking taylor expansion of im in re
10.140 * [backup-simplify]: Simplify im into im
10.140 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.140 * [taylor]: Taking taylor expansion of re in re
10.140 * [backup-simplify]: Simplify 0 into 0
10.140 * [backup-simplify]: Simplify 1 into 1
10.140 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.140 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.140 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.141 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.141 * [backup-simplify]: Simplify (+ 0 0) into 0
10.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.141 * [taylor]: Taking taylor expansion of im in im
10.141 * [backup-simplify]: Simplify 0 into 0
10.141 * [backup-simplify]: Simplify 1 into 1
10.141 * [backup-simplify]: Simplify 0 into 0
10.141 * [taylor]: Taking taylor expansion of 0 in im
10.141 * [backup-simplify]: Simplify 0 into 0
10.141 * [backup-simplify]: Simplify 0 into 0
10.141 * [backup-simplify]: Simplify 1 into 1
10.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.142 * [backup-simplify]: Simplify (* 1 1) into 1
10.142 * [backup-simplify]: Simplify (+ 0 1) into 1
10.143 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.143 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.143 * [taylor]: Taking taylor expansion of 1/2 in im
10.143 * [backup-simplify]: Simplify 1/2 into 1/2
10.143 * [taylor]: Taking taylor expansion of im in im
10.143 * [backup-simplify]: Simplify 0 into 0
10.143 * [backup-simplify]: Simplify 1 into 1
10.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify 0 into 0
10.144 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.145 * [backup-simplify]: Simplify (+ 0 0) into 0
10.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.145 * [taylor]: Taking taylor expansion of 0 in im
10.145 * [backup-simplify]: Simplify 0 into 0
10.145 * [backup-simplify]: Simplify 0 into 0
10.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.146 * [backup-simplify]: Simplify 0 into 0
10.146 * [backup-simplify]: Simplify 0 into 0
10.146 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.146 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.146 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.146 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.146 * [taylor]: Taking taylor expansion of re in im
10.146 * [backup-simplify]: Simplify re into re
10.146 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.146 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.146 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.146 * [taylor]: Taking taylor expansion of im in im
10.146 * [backup-simplify]: Simplify 0 into 0
10.146 * [backup-simplify]: Simplify 1 into 1
10.146 * [backup-simplify]: Simplify (* 1 1) into 1
10.147 * [backup-simplify]: Simplify (/ 1 1) into 1
10.147 * [backup-simplify]: Simplify (+ 0 1) into 1
10.147 * [backup-simplify]: Simplify (sqrt 1) into 1
10.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.148 * [backup-simplify]: Simplify (+ 0 0) into 0
10.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.149 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.149 * [taylor]: Taking taylor expansion of re in re
10.149 * [backup-simplify]: Simplify 0 into 0
10.149 * [backup-simplify]: Simplify 1 into 1
10.149 * [backup-simplify]: Simplify (* 1 1) into 1
10.149 * [backup-simplify]: Simplify (/ 1 1) into 1
10.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.149 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.149 * [taylor]: Taking taylor expansion of im in re
10.149 * [backup-simplify]: Simplify im into im
10.149 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.149 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.150 * [backup-simplify]: Simplify (+ 1 0) into 1
10.150 * [backup-simplify]: Simplify (sqrt 1) into 1
10.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.151 * [backup-simplify]: Simplify (+ 0 0) into 0
10.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.152 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.152 * [taylor]: Taking taylor expansion of re in re
10.152 * [backup-simplify]: Simplify 0 into 0
10.152 * [backup-simplify]: Simplify 1 into 1
10.152 * [backup-simplify]: Simplify (* 1 1) into 1
10.152 * [backup-simplify]: Simplify (/ 1 1) into 1
10.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.152 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.152 * [taylor]: Taking taylor expansion of im in re
10.152 * [backup-simplify]: Simplify im into im
10.152 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.153 * [backup-simplify]: Simplify (+ 1 0) into 1
10.153 * [backup-simplify]: Simplify (sqrt 1) into 1
10.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.154 * [backup-simplify]: Simplify (+ 0 0) into 0
10.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.155 * [taylor]: Taking taylor expansion of 1 in im
10.155 * [backup-simplify]: Simplify 1 into 1
10.155 * [taylor]: Taking taylor expansion of 0 in im
10.155 * [backup-simplify]: Simplify 0 into 0
10.155 * [backup-simplify]: Simplify 1 into 1
10.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.159 * [taylor]: Taking taylor expansion of 1/2 in im
10.159 * [backup-simplify]: Simplify 1/2 into 1/2
10.159 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.159 * [taylor]: Taking taylor expansion of im in im
10.159 * [backup-simplify]: Simplify 0 into 0
10.159 * [backup-simplify]: Simplify 1 into 1
10.159 * [backup-simplify]: Simplify (* 1 1) into 1
10.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.161 * [backup-simplify]: Simplify 0 into 0
10.161 * [backup-simplify]: Simplify 0 into 0
10.161 * [backup-simplify]: Simplify 0 into 0
10.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.164 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.164 * [backup-simplify]: Simplify (+ 0 0) into 0
10.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.165 * [taylor]: Taking taylor expansion of 0 in im
10.165 * [backup-simplify]: Simplify 0 into 0
10.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [backup-simplify]: Simplify 0 into 0
10.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.167 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.167 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.167 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.167 * [taylor]: Taking taylor expansion of re in im
10.167 * [backup-simplify]: Simplify re into re
10.168 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.168 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.168 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.168 * [taylor]: Taking taylor expansion of im in im
10.168 * [backup-simplify]: Simplify 0 into 0
10.168 * [backup-simplify]: Simplify 1 into 1
10.168 * [backup-simplify]: Simplify (* 1 1) into 1
10.169 * [backup-simplify]: Simplify (/ 1 1) into 1
10.169 * [backup-simplify]: Simplify (+ 0 1) into 1
10.169 * [backup-simplify]: Simplify (sqrt 1) into 1
10.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.171 * [backup-simplify]: Simplify (+ 0 0) into 0
10.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.171 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.171 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.171 * [taylor]: Taking taylor expansion of re in re
10.171 * [backup-simplify]: Simplify 0 into 0
10.171 * [backup-simplify]: Simplify 1 into 1
10.171 * [backup-simplify]: Simplify (* 1 1) into 1
10.172 * [backup-simplify]: Simplify (/ 1 1) into 1
10.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.172 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.172 * [taylor]: Taking taylor expansion of im in re
10.172 * [backup-simplify]: Simplify im into im
10.172 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.172 * [backup-simplify]: Simplify (+ 1 0) into 1
10.172 * [backup-simplify]: Simplify (sqrt 1) into 1
10.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.174 * [backup-simplify]: Simplify (+ 0 0) into 0
10.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.174 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.174 * [taylor]: Taking taylor expansion of re in re
10.174 * [backup-simplify]: Simplify 0 into 0
10.174 * [backup-simplify]: Simplify 1 into 1
10.174 * [backup-simplify]: Simplify (* 1 1) into 1
10.175 * [backup-simplify]: Simplify (/ 1 1) into 1
10.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.175 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.175 * [taylor]: Taking taylor expansion of im in re
10.175 * [backup-simplify]: Simplify im into im
10.175 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.175 * [backup-simplify]: Simplify (+ 1 0) into 1
10.175 * [backup-simplify]: Simplify (sqrt 1) into 1
10.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.176 * [backup-simplify]: Simplify (+ 0 0) into 0
10.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.177 * [taylor]: Taking taylor expansion of 1 in im
10.177 * [backup-simplify]: Simplify 1 into 1
10.177 * [taylor]: Taking taylor expansion of 0 in im
10.177 * [backup-simplify]: Simplify 0 into 0
10.177 * [backup-simplify]: Simplify 1 into 1
10.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.178 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.179 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.179 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.179 * [taylor]: Taking taylor expansion of 1/2 in im
10.179 * [backup-simplify]: Simplify 1/2 into 1/2
10.179 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.179 * [taylor]: Taking taylor expansion of im in im
10.179 * [backup-simplify]: Simplify 0 into 0
10.179 * [backup-simplify]: Simplify 1 into 1
10.179 * [backup-simplify]: Simplify (* 1 1) into 1
10.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.180 * [backup-simplify]: Simplify 0 into 0
10.180 * [backup-simplify]: Simplify 0 into 0
10.180 * [backup-simplify]: Simplify 0 into 0
10.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.182 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.182 * [backup-simplify]: Simplify (+ 0 0) into 0
10.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.182 * [taylor]: Taking taylor expansion of 0 in im
10.182 * [backup-simplify]: Simplify 0 into 0
10.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.184 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1)
10.184 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.184 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.184 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.184 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.184 * [taylor]: Taking taylor expansion of im in im
10.184 * [backup-simplify]: Simplify 0 into 0
10.184 * [backup-simplify]: Simplify 1 into 1
10.184 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.184 * [taylor]: Taking taylor expansion of re in im
10.184 * [backup-simplify]: Simplify re into re
10.184 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.184 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.184 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.184 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.185 * [backup-simplify]: Simplify (+ 0 0) into 0
10.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.185 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.185 * [taylor]: Taking taylor expansion of im in re
10.185 * [backup-simplify]: Simplify im into im
10.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.185 * [taylor]: Taking taylor expansion of re in re
10.185 * [backup-simplify]: Simplify 0 into 0
10.185 * [backup-simplify]: Simplify 1 into 1
10.185 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.185 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.185 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.185 * [backup-simplify]: Simplify (+ 0 0) into 0
10.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.185 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.185 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.185 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.185 * [taylor]: Taking taylor expansion of im in re
10.185 * [backup-simplify]: Simplify im into im
10.185 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.185 * [taylor]: Taking taylor expansion of re in re
10.185 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 1 into 1
10.186 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.186 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.186 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.186 * [backup-simplify]: Simplify (+ 0 0) into 0
10.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.186 * [taylor]: Taking taylor expansion of im in im
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 1 into 1
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [taylor]: Taking taylor expansion of 0 in im
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 0 into 0
10.186 * [backup-simplify]: Simplify 1 into 1
10.187 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.187 * [backup-simplify]: Simplify (* 1 1) into 1
10.187 * [backup-simplify]: Simplify (+ 0 1) into 1
10.188 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.188 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.188 * [taylor]: Taking taylor expansion of 1/2 in im
10.188 * [backup-simplify]: Simplify 1/2 into 1/2
10.188 * [taylor]: Taking taylor expansion of im in im
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 1 into 1
10.188 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.188 * [backup-simplify]: Simplify 0 into 0
10.188 * [backup-simplify]: Simplify 0 into 0
10.189 * [backup-simplify]: Simplify 0 into 0
10.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.190 * [backup-simplify]: Simplify (+ 0 0) into 0
10.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.190 * [taylor]: Taking taylor expansion of 0 in im
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify 0 into 0
10.190 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.191 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.191 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.191 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.191 * [taylor]: Taking taylor expansion of re in im
10.191 * [backup-simplify]: Simplify re into re
10.191 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.191 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.191 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.191 * [taylor]: Taking taylor expansion of im in im
10.191 * [backup-simplify]: Simplify 0 into 0
10.191 * [backup-simplify]: Simplify 1 into 1
10.191 * [backup-simplify]: Simplify (* 1 1) into 1
10.191 * [backup-simplify]: Simplify (/ 1 1) into 1
10.192 * [backup-simplify]: Simplify (+ 0 1) into 1
10.192 * [backup-simplify]: Simplify (sqrt 1) into 1
10.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.193 * [backup-simplify]: Simplify (+ 0 0) into 0
10.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.193 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.193 * [taylor]: Taking taylor expansion of re in re
10.194 * [backup-simplify]: Simplify 0 into 0
10.194 * [backup-simplify]: Simplify 1 into 1
10.194 * [backup-simplify]: Simplify (* 1 1) into 1
10.194 * [backup-simplify]: Simplify (/ 1 1) into 1
10.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.194 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.194 * [taylor]: Taking taylor expansion of im in re
10.194 * [backup-simplify]: Simplify im into im
10.194 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.194 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.194 * [backup-simplify]: Simplify (+ 1 0) into 1
10.195 * [backup-simplify]: Simplify (sqrt 1) into 1
10.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.196 * [backup-simplify]: Simplify (+ 0 0) into 0
10.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.196 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.196 * [taylor]: Taking taylor expansion of re in re
10.196 * [backup-simplify]: Simplify 0 into 0
10.196 * [backup-simplify]: Simplify 1 into 1
10.197 * [backup-simplify]: Simplify (* 1 1) into 1
10.197 * [backup-simplify]: Simplify (/ 1 1) into 1
10.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.197 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.197 * [taylor]: Taking taylor expansion of im in re
10.197 * [backup-simplify]: Simplify im into im
10.197 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.197 * [backup-simplify]: Simplify (+ 1 0) into 1
10.198 * [backup-simplify]: Simplify (sqrt 1) into 1
10.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.199 * [backup-simplify]: Simplify (+ 0 0) into 0
10.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.200 * [taylor]: Taking taylor expansion of 1 in im
10.200 * [backup-simplify]: Simplify 1 into 1
10.200 * [taylor]: Taking taylor expansion of 0 in im
10.200 * [backup-simplify]: Simplify 0 into 0
10.200 * [backup-simplify]: Simplify 1 into 1
10.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.202 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.204 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.204 * [taylor]: Taking taylor expansion of 1/2 in im
10.204 * [backup-simplify]: Simplify 1/2 into 1/2
10.204 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.204 * [taylor]: Taking taylor expansion of im in im
10.204 * [backup-simplify]: Simplify 0 into 0
10.204 * [backup-simplify]: Simplify 1 into 1
10.205 * [backup-simplify]: Simplify (* 1 1) into 1
10.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [backup-simplify]: Simplify 0 into 0
10.207 * [backup-simplify]: Simplify 0 into 0
10.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.210 * [backup-simplify]: Simplify (+ 0 0) into 0
10.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.210 * [taylor]: Taking taylor expansion of 0 in im
10.210 * [backup-simplify]: Simplify 0 into 0
10.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [backup-simplify]: Simplify 0 into 0
10.212 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.213 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.213 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.213 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.213 * [taylor]: Taking taylor expansion of re in im
10.213 * [backup-simplify]: Simplify re into re
10.213 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.213 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.213 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.213 * [taylor]: Taking taylor expansion of im in im
10.213 * [backup-simplify]: Simplify 0 into 0
10.213 * [backup-simplify]: Simplify 1 into 1
10.214 * [backup-simplify]: Simplify (* 1 1) into 1
10.214 * [backup-simplify]: Simplify (/ 1 1) into 1
10.214 * [backup-simplify]: Simplify (+ 0 1) into 1
10.215 * [backup-simplify]: Simplify (sqrt 1) into 1
10.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.216 * [backup-simplify]: Simplify (+ 0 0) into 0
10.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.216 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.216 * [taylor]: Taking taylor expansion of re in re
10.216 * [backup-simplify]: Simplify 0 into 0
10.216 * [backup-simplify]: Simplify 1 into 1
10.216 * [backup-simplify]: Simplify (* 1 1) into 1
10.217 * [backup-simplify]: Simplify (/ 1 1) into 1
10.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.217 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.217 * [taylor]: Taking taylor expansion of im in re
10.217 * [backup-simplify]: Simplify im into im
10.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.217 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.217 * [backup-simplify]: Simplify (+ 1 0) into 1
10.217 * [backup-simplify]: Simplify (sqrt 1) into 1
10.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.218 * [backup-simplify]: Simplify (+ 0 0) into 0
10.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.219 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.219 * [taylor]: Taking taylor expansion of re in re
10.219 * [backup-simplify]: Simplify 0 into 0
10.219 * [backup-simplify]: Simplify 1 into 1
10.219 * [backup-simplify]: Simplify (* 1 1) into 1
10.219 * [backup-simplify]: Simplify (/ 1 1) into 1
10.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.219 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.219 * [taylor]: Taking taylor expansion of im in re
10.219 * [backup-simplify]: Simplify im into im
10.219 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.224 * [backup-simplify]: Simplify (+ 1 0) into 1
10.224 * [backup-simplify]: Simplify (sqrt 1) into 1
10.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.225 * [backup-simplify]: Simplify (+ 0 0) into 0
10.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.226 * [taylor]: Taking taylor expansion of 1 in im
10.226 * [backup-simplify]: Simplify 1 into 1
10.226 * [taylor]: Taking taylor expansion of 0 in im
10.226 * [backup-simplify]: Simplify 0 into 0
10.226 * [backup-simplify]: Simplify 1 into 1
10.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.228 * [taylor]: Taking taylor expansion of 1/2 in im
10.228 * [backup-simplify]: Simplify 1/2 into 1/2
10.228 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.228 * [taylor]: Taking taylor expansion of im in im
10.228 * [backup-simplify]: Simplify 0 into 0
10.228 * [backup-simplify]: Simplify 1 into 1
10.229 * [backup-simplify]: Simplify (* 1 1) into 1
10.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify 0 into 0
10.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.231 * [backup-simplify]: Simplify (+ 0 0) into 0
10.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.232 * [taylor]: Taking taylor expansion of 0 in im
10.232 * [backup-simplify]: Simplify 0 into 0
10.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.233 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1)
10.233 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
10.233 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
10.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
10.233 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
10.233 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.233 * [taylor]: Taking taylor expansion of im in im
10.233 * [backup-simplify]: Simplify 0 into 0
10.233 * [backup-simplify]: Simplify 1 into 1
10.233 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.233 * [taylor]: Taking taylor expansion of re in im
10.233 * [backup-simplify]: Simplify re into re
10.234 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.234 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
10.234 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
10.234 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
10.234 * [backup-simplify]: Simplify (+ 0 0) into 0
10.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
10.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.234 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.234 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.234 * [taylor]: Taking taylor expansion of im in re
10.234 * [backup-simplify]: Simplify im into im
10.234 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.234 * [taylor]: Taking taylor expansion of re in re
10.234 * [backup-simplify]: Simplify 0 into 0
10.234 * [backup-simplify]: Simplify 1 into 1
10.234 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.234 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.235 * [backup-simplify]: Simplify (+ 0 0) into 0
10.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.235 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
10.235 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
10.235 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.235 * [taylor]: Taking taylor expansion of im in re
10.235 * [backup-simplify]: Simplify im into im
10.235 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.235 * [taylor]: Taking taylor expansion of re in re
10.235 * [backup-simplify]: Simplify 0 into 0
10.235 * [backup-simplify]: Simplify 1 into 1
10.235 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.235 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
10.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
10.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.235 * [backup-simplify]: Simplify (+ 0 0) into 0
10.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
10.236 * [taylor]: Taking taylor expansion of im in im
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 1 into 1
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [taylor]: Taking taylor expansion of 0 in im
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 0 into 0
10.236 * [backup-simplify]: Simplify 1 into 1
10.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
10.236 * [backup-simplify]: Simplify (* 1 1) into 1
10.237 * [backup-simplify]: Simplify (+ 0 1) into 1
10.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
10.237 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
10.237 * [taylor]: Taking taylor expansion of 1/2 in im
10.237 * [backup-simplify]: Simplify 1/2 into 1/2
10.237 * [taylor]: Taking taylor expansion of im in im
10.237 * [backup-simplify]: Simplify 0 into 0
10.237 * [backup-simplify]: Simplify 1 into 1
10.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify 0 into 0
10.238 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
10.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.239 * [backup-simplify]: Simplify (+ 0 0) into 0
10.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
10.239 * [taylor]: Taking taylor expansion of 0 in im
10.239 * [backup-simplify]: Simplify 0 into 0
10.239 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
10.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.240 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.240 * [taylor]: Taking taylor expansion of re in im
10.240 * [backup-simplify]: Simplify re into re
10.240 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.240 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.240 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.240 * [taylor]: Taking taylor expansion of im in im
10.240 * [backup-simplify]: Simplify 0 into 0
10.240 * [backup-simplify]: Simplify 1 into 1
10.241 * [backup-simplify]: Simplify (* 1 1) into 1
10.241 * [backup-simplify]: Simplify (/ 1 1) into 1
10.241 * [backup-simplify]: Simplify (+ 0 1) into 1
10.241 * [backup-simplify]: Simplify (sqrt 1) into 1
10.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.243 * [backup-simplify]: Simplify (+ 0 0) into 0
10.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.244 * [taylor]: Taking taylor expansion of re in re
10.244 * [backup-simplify]: Simplify 0 into 0
10.244 * [backup-simplify]: Simplify 1 into 1
10.244 * [backup-simplify]: Simplify (* 1 1) into 1
10.245 * [backup-simplify]: Simplify (/ 1 1) into 1
10.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.245 * [taylor]: Taking taylor expansion of im in re
10.245 * [backup-simplify]: Simplify im into im
10.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.246 * [backup-simplify]: Simplify (+ 1 0) into 1
10.246 * [backup-simplify]: Simplify (sqrt 1) into 1
10.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.248 * [backup-simplify]: Simplify (+ 0 0) into 0
10.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.249 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.249 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.249 * [taylor]: Taking taylor expansion of re in re
10.249 * [backup-simplify]: Simplify 0 into 0
10.249 * [backup-simplify]: Simplify 1 into 1
10.249 * [backup-simplify]: Simplify (* 1 1) into 1
10.250 * [backup-simplify]: Simplify (/ 1 1) into 1
10.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.250 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.250 * [taylor]: Taking taylor expansion of im in re
10.250 * [backup-simplify]: Simplify im into im
10.250 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.250 * [backup-simplify]: Simplify (+ 1 0) into 1
10.251 * [backup-simplify]: Simplify (sqrt 1) into 1
10.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.253 * [backup-simplify]: Simplify (+ 0 0) into 0
10.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.254 * [taylor]: Taking taylor expansion of 1 in im
10.254 * [backup-simplify]: Simplify 1 into 1
10.254 * [taylor]: Taking taylor expansion of 0 in im
10.254 * [backup-simplify]: Simplify 0 into 0
10.254 * [backup-simplify]: Simplify 1 into 1
10.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.258 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.258 * [taylor]: Taking taylor expansion of 1/2 in im
10.258 * [backup-simplify]: Simplify 1/2 into 1/2
10.258 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.258 * [taylor]: Taking taylor expansion of im in im
10.258 * [backup-simplify]: Simplify 0 into 0
10.258 * [backup-simplify]: Simplify 1 into 1
10.258 * [backup-simplify]: Simplify (* 1 1) into 1
10.259 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.261 * [backup-simplify]: Simplify 0 into 0
10.261 * [backup-simplify]: Simplify 0 into 0
10.261 * [backup-simplify]: Simplify 0 into 0
10.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.263 * [backup-simplify]: Simplify (+ 0 0) into 0
10.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.263 * [taylor]: Taking taylor expansion of 0 in im
10.263 * [backup-simplify]: Simplify 0 into 0
10.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.264 * [backup-simplify]: Simplify 0 into 0
10.264 * [backup-simplify]: Simplify 0 into 0
10.264 * [backup-simplify]: Simplify 0 into 0
10.264 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
10.265 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
10.265 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
10.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
10.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
10.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
10.265 * [taylor]: Taking taylor expansion of (pow re 2) in im
10.265 * [taylor]: Taking taylor expansion of re in im
10.265 * [backup-simplify]: Simplify re into re
10.265 * [backup-simplify]: Simplify (* re re) into (pow re 2)
10.265 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
10.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
10.265 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.265 * [taylor]: Taking taylor expansion of im in im
10.265 * [backup-simplify]: Simplify 0 into 0
10.265 * [backup-simplify]: Simplify 1 into 1
10.265 * [backup-simplify]: Simplify (* 1 1) into 1
10.265 * [backup-simplify]: Simplify (/ 1 1) into 1
10.266 * [backup-simplify]: Simplify (+ 0 1) into 1
10.266 * [backup-simplify]: Simplify (sqrt 1) into 1
10.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.267 * [backup-simplify]: Simplify (+ 0 0) into 0
10.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.268 * [taylor]: Taking taylor expansion of re in re
10.268 * [backup-simplify]: Simplify 0 into 0
10.268 * [backup-simplify]: Simplify 1 into 1
10.268 * [backup-simplify]: Simplify (* 1 1) into 1
10.268 * [backup-simplify]: Simplify (/ 1 1) into 1
10.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.268 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.268 * [taylor]: Taking taylor expansion of im in re
10.268 * [backup-simplify]: Simplify im into im
10.268 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.269 * [backup-simplify]: Simplify (+ 1 0) into 1
10.269 * [backup-simplify]: Simplify (sqrt 1) into 1
10.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.270 * [backup-simplify]: Simplify (+ 0 0) into 0
10.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
10.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
10.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
10.270 * [taylor]: Taking taylor expansion of (pow re 2) in re
10.270 * [taylor]: Taking taylor expansion of re in re
10.270 * [backup-simplify]: Simplify 0 into 0
10.270 * [backup-simplify]: Simplify 1 into 1
10.271 * [backup-simplify]: Simplify (* 1 1) into 1
10.271 * [backup-simplify]: Simplify (/ 1 1) into 1
10.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
10.271 * [taylor]: Taking taylor expansion of (pow im 2) in re
10.271 * [taylor]: Taking taylor expansion of im in re
10.271 * [backup-simplify]: Simplify im into im
10.271 * [backup-simplify]: Simplify (* im im) into (pow im 2)
10.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
10.271 * [backup-simplify]: Simplify (+ 1 0) into 1
10.272 * [backup-simplify]: Simplify (sqrt 1) into 1
10.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.273 * [backup-simplify]: Simplify (+ 0 0) into 0
10.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
10.273 * [taylor]: Taking taylor expansion of 1 in im
10.273 * [backup-simplify]: Simplify 1 into 1
10.273 * [taylor]: Taking taylor expansion of 0 in im
10.273 * [backup-simplify]: Simplify 0 into 0
10.273 * [backup-simplify]: Simplify 1 into 1
10.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.274 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
10.275 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
10.275 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
10.275 * [taylor]: Taking taylor expansion of 1/2 in im
10.275 * [backup-simplify]: Simplify 1/2 into 1/2
10.275 * [taylor]: Taking taylor expansion of (pow im 2) in im
10.275 * [taylor]: Taking taylor expansion of im in im
10.275 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify 1 into 1
10.276 * [backup-simplify]: Simplify (* 1 1) into 1
10.276 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
10.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify 0 into 0
10.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
10.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
10.278 * [backup-simplify]: Simplify (+ 0 0) into 0
10.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
10.279 * [taylor]: Taking taylor expansion of 0 in im
10.279 * [backup-simplify]: Simplify 0 into 0
10.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.280 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify 0 into 0
10.280 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
10.280 * * * [progress]: simplifying candidates
10.280 * * * * [progress]: [ 1 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) 1/2)))) re)))))>
10.280 * * * * [progress]: [ 2 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)))) re)))))>
10.280 * * * * [progress]: [ 3 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.280 * * * * [progress]: [ 4 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.280 * * * * [progress]: [ 5 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.280 * * * * [progress]: [ 6 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.280 * * * * [progress]: [ 7 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re)))))>
10.281 * * * * [progress]: [ 8 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.281 * * * * [progress]: [ 9 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))))) re)))))>
10.281 * * * * [progress]: [ 10 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) re)))))>
10.281 * * * * [progress]: [ 11 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re)))))>
10.281 * * * * [progress]: [ 12 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) re)))))>
10.281 * * * * [progress]: [ 13 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.281 * * * * [progress]: [ 14 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) re)))))>
10.281 * * * * [progress]: [ 15 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im))))))) re)))))>
10.281 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>
10.281 * * * * [progress]: [ 17 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) 1/2))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 18 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (pow (sqrt (+ (* re re) (* im im))) 1))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 19 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 20 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (log (exp (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 21 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 22 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 23 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 24 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 25 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 26 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 27 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.281 * * * * [progress]: [ 28 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 29 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 30 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 31 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 33 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (pow (+ (* re re) (* im im)) 1/2))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 34 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (pow (sqrt (+ (* re re) (* im im))) 1))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 35 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 36 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (log (exp (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 37 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 38 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 39 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 40 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 41 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 42 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 43 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 44 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 45 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 46 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (fabs (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 47 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* 1 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.282 * * * * [progress]: [ 49 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 50 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 51 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 52 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 53 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 54 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 55 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 56 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 57 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 58 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 59 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 60 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 61 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 62 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 63 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.283 * * * * [progress]: [ 65 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt im))) re)))))>
10.283 * * * * [progress]: [ 66 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt re))) re)))))>
10.283 * * * * [progress]: [ 67 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (* -1 re)))) re)))))>
10.283 * * * * [progress]: [ 68 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt im)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 69 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt re)))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 70 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (* -1 re))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 71 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt im)) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 72 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt re)) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 73 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (* -1 re))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 74 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt im) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 75 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt re) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.284 * * * * [progress]: [ 76 / 76 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* -1 re)) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
10.285 * [simplify]: Simplifying:
  (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))))
  (real->posit16 (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))))
  (real->posit16 (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))))
  (real->posit16 (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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
10.285 * * [simplify]: iteration 0: 39 enodes
10.297 * * [simplify]: iteration 1: 92 enodes
10.334 * * [simplify]: iteration 2: 196 enodes
10.429 * * [simplify]: iteration 3: 435 enodes
10.649 * * [simplify]: iteration 4: 995 enodes
11.225 * * [simplify]: iteration 5: 3254 enodes
12.491 * * [simplify]: iteration complete: 5001 enodes
12.492 * * [simplify]: Extracting #0: cost 19 inf + 0
12.492 * * [simplify]: Extracting #1: cost 37 inf + 4
12.493 * * [simplify]: Extracting #2: cost 212 inf + 49
12.499 * * [simplify]: Extracting #3: cost 852 inf + 8041
12.531 * * [simplify]: Extracting #4: cost 756 inf + 90254
12.594 * * [simplify]: Extracting #5: cost 387 inf + 186778
12.651 * * [simplify]: Extracting #6: cost 217 inf + 256600
12.720 * * [simplify]: Extracting #7: cost 64 inf + 347288
12.782 * * [simplify]: Extracting #8: cost 9 inf + 362642
12.865 * * [simplify]: Extracting #9: cost 0 inf + 365239
12.962 * [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))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (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))))
  (real->posit16 (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))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (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))))
  (real->posit16 (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))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (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))))
  (real->posit16 (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))) (+ (* re re) (* im im)))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))
  (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))))
  (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))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
12.988 * * * [progress]: adding candidates to table
13.651 * [progress]: [Phase 3 of 3] Extracting.
13.651 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
13.652 * * * [regime-changes]: Trying 4 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) im re)
13.652 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
13.715 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
13.783 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
13.870 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
13.963 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
14.053 * * * [regime]: Found split indices: #<option (#s(si 3 121) #s(si 8 196) #s(si 0 255))>
14.054 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
14.161 * [regimes]: Found splitpoints: (#s(sp 3 re 3.2277128143621017e-299) #s(sp 8 re 3.920451788983101e+83) #s(sp 0 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>)
14.162 * [simplify]: Simplifying:
  (if (<= re 3.2277128143621017e-299) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 3.920451788983101e+83) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
14.162 * * [simplify]: iteration 0: 29 enodes
14.164 * * [simplify]: iteration 1: 37 enodes
14.165 * * [simplify]: iteration complete: 37 enodes
14.165 * * [simplify]: Extracting #0: cost 1 inf + 0
14.165 * * [simplify]: Extracting #1: cost 4 inf + 0
14.165 * * [simplify]: Extracting #2: cost 11 inf + 0
14.165 * * [simplify]: Extracting #3: cost 13 inf + 3
14.165 * * [simplify]: Extracting #4: cost 15 inf + 138
14.165 * * [simplify]: Extracting #5: cost 17 inf + 180
14.165 * * [simplify]: Extracting #6: cost 17 inf + 303
14.165 * * [simplify]: Extracting #7: cost 14 inf + 548
14.165 * * [simplify]: Extracting #8: cost 14 inf + 711
14.166 * * [simplify]: Extracting #9: cost 13 inf + 752
14.166 * * [simplify]: Extracting #10: cost 9 inf + 1480
14.166 * * [simplify]: Extracting #11: cost 4 inf + 3093
14.167 * * [simplify]: Extracting #12: cost 3 inf + 3416
14.167 * * [simplify]: Extracting #13: cost 2 inf + 3780
14.168 * * [simplify]: Extracting #14: cost 0 inf + 5461
14.169 * [simplify]: Simplified to:
  (if (<= re 3.2277128143621017e-299) (* (* (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0)) 0.5) (if (<= re 3.920451788983101e+83) (* (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) 0.5) (* 0.5 (sqrt (* (+ re re) 2.0)))))
17.466 * [regime-testing]: Baseline error score: 37.65757644580857
17.471 * [regime-testing]: Oracle error score: 17.384553537839835
17.481 * [regime-testing]: End program error score: 26.126352066351924
17.629 * [regime-testing]: Target error score: 32.86112220982679