46.427 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.071 * * * [progress]: [2/2] Setting up program.
0.077 * [progress]: [Phase 2 of 3] Improving.
0.077 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.078 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.078 * * [simplify]: iteration 1: (12 enodes)
0.082 * * [simplify]: iteration 2: (22 enodes)
0.085 * * [simplify]: iteration 3: (24 enodes)
0.088 * * [simplify]: Extracting #0: cost 1 inf + 0
0.088 * * [simplify]: Extracting #1: cost 3 inf + 0
0.088 * * [simplify]: Extracting #2: cost 3 inf + 1
0.088 * * [simplify]: Extracting #3: cost 7 inf + 1
0.088 * * [simplify]: Extracting #4: cost 8 inf + 2
0.088 * * [simplify]: Extracting #5: cost 8 inf + 3
0.088 * * [simplify]: Extracting #6: cost 9 inf + 45
0.089 * * [simplify]: Extracting #7: cost 9 inf + 86
0.089 * * [simplify]: Extracting #8: cost 7 inf + 128
0.089 * * [simplify]: Extracting #9: cost 5 inf + 412
0.089 * * [simplify]: Extracting #10: cost 2 inf + 1060
0.089 * * [simplify]: Extracting #11: cost 0 inf + 1667
0.089 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.093 * * [progress]: iteration 1 / 4
0.093 * * * [progress]: picking best candidate
0.096 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.096 * * * [progress]: localizing error
0.148 * * * [progress]: generating rewritten candidates
0.148 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1)
0.161 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2)
0.205 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.242 * * * [progress]: generating series expansions
0.242 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1)
0.243 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.243 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.243 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.243 * [taylor]: Taking taylor expansion of im in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.243 * [taylor]: Taking taylor expansion of re in im
0.243 * [backup-simplify]: Simplify re into re
0.243 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.243 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.243 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.243 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.244 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.244 * [taylor]: Taking taylor expansion of im in re
0.244 * [backup-simplify]: Simplify im into im
0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.244 * [taylor]: Taking taylor expansion of re in re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.244 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.244 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.244 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.245 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.245 * [taylor]: Taking taylor expansion of im in re
0.245 * [backup-simplify]: Simplify im into im
0.245 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.245 * [taylor]: Taking taylor expansion of re in re
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.245 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.245 * [taylor]: Taking taylor expansion of im in im
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [taylor]: Taking taylor expansion of 0 in im
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (+ 0 1) into 1
0.247 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.247 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.247 * [taylor]: Taking taylor expansion of 1/2 in im
0.247 * [backup-simplify]: Simplify 1/2 into 1/2
0.247 * [taylor]: Taking taylor expansion of im in im
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.247 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
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
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.251 * [backup-simplify]: Simplify (/ 1 1) into 1
0.251 * [backup-simplify]: Simplify (+ 0 1) into 1
0.251 * [backup-simplify]: Simplify (sqrt 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.253 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify (/ 1 1) into 1
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.253 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.253 * [taylor]: Taking taylor expansion of im in re
0.253 * [backup-simplify]: Simplify im into im
0.253 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.253 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.254 * [backup-simplify]: Simplify (+ 1 0) into 1
0.254 * [backup-simplify]: Simplify (sqrt 1) into 1
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.256 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.256 * [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))
0.257 * [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
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.258 * [taylor]: Taking taylor expansion of 1 in im
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of 0 in im
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.260 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.260 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.261 * [taylor]: Taking taylor expansion of 1/2 in im
0.261 * [backup-simplify]: Simplify 1/2 into 1/2
0.261 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.261 * [taylor]: Taking taylor expansion of im in im
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.264 * [taylor]: Taking taylor expansion of 0 in im
0.264 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.266 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.266 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.266 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.266 * [taylor]: Taking taylor expansion of re in im
0.266 * [backup-simplify]: Simplify re into re
0.266 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.266 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.266 * [taylor]: Taking taylor expansion of im in im
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* 1 1) into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [backup-simplify]: Simplify (+ 0 1) into 1
0.267 * [backup-simplify]: Simplify (sqrt 1) into 1
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ 0 0) into 0
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.269 * [taylor]: Taking taylor expansion of re in re
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 1 into 1
0.269 * [backup-simplify]: Simplify (* 1 1) into 1
0.269 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.269 * [taylor]: Taking taylor expansion of im in re
0.269 * [backup-simplify]: Simplify im into im
0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.269 * [backup-simplify]: Simplify (+ 1 0) into 1
0.270 * [backup-simplify]: Simplify (sqrt 1) into 1
0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (+ 0 0) into 0
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.271 * [taylor]: Taking taylor expansion of re in re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.272 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.272 * [taylor]: Taking taylor expansion of im in re
0.272 * [backup-simplify]: Simplify im into im
0.272 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.273 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.274 * [taylor]: Taking taylor expansion of 1 in im
0.274 * [backup-simplify]: Simplify 1 into 1
0.274 * [taylor]: Taking taylor expansion of 0 in im
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.276 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.276 * [taylor]: Taking taylor expansion of 1/2 in im
0.276 * [backup-simplify]: Simplify 1/2 into 1/2
0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.276 * [taylor]: Taking taylor expansion of im in im
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in im
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.281 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2)
0.281 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.281 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.281 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.281 * [taylor]: Taking taylor expansion of re in im
0.281 * [backup-simplify]: Simplify re into re
0.281 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.281 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.281 * [taylor]: Taking taylor expansion of (pow im 2) in 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 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.281 * [taylor]: Taking taylor expansion of re in im
0.281 * [backup-simplify]: Simplify re into re
0.282 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.282 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.282 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.282 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.282 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.282 * [taylor]: Taking taylor expansion of re in re
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.282 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.282 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.282 * [taylor]: Taking taylor expansion of im in re
0.282 * [backup-simplify]: Simplify im into im
0.282 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.282 * [taylor]: Taking taylor expansion of re in re
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.282 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.282 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.282 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.283 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.283 * [taylor]: Taking taylor expansion of re in re
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.283 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.283 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.283 * [taylor]: Taking taylor expansion of im in re
0.283 * [backup-simplify]: Simplify im into im
0.283 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.283 * [taylor]: Taking taylor expansion of re in re
0.283 * [backup-simplify]: Simplify 0 into 0
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.283 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.283 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.283 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.284 * [backup-simplify]: Simplify (+ 0 im) into 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
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify (+ 1 0) into 1
0.284 * [taylor]: Taking taylor expansion of 1 in im
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.285 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ 0 1) into 1
0.285 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.285 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.285 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.285 * [taylor]: Taking taylor expansion of 1/2 in im
0.285 * [backup-simplify]: Simplify 1/2 into 1/2
0.285 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.285 * [taylor]: Taking taylor expansion of im in im
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [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
0.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [taylor]: Taking taylor expansion of 0 in im
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.290 * [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)))))
0.290 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.290 * [taylor]: Taking taylor expansion of re in im
0.290 * [backup-simplify]: Simplify re into re
0.290 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.290 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.290 * [taylor]: Taking taylor expansion of re in im
0.290 * [backup-simplify]: Simplify re into re
0.290 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.290 * [taylor]: Taking taylor expansion of im in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (+ 0 1) into 1
0.291 * [backup-simplify]: Simplify (sqrt 1) into 1
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.293 * [taylor]: Taking taylor expansion of re in re
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.293 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.293 * [taylor]: Taking taylor expansion of re in re
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.294 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.294 * [taylor]: Taking taylor expansion of im in re
0.294 * [backup-simplify]: Simplify im into im
0.294 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.294 * [backup-simplify]: Simplify (+ 1 0) into 1
0.294 * [backup-simplify]: Simplify (sqrt 1) into 1
0.295 * [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
0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.296 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [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
0.297 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.297 * [taylor]: Taking taylor expansion of im in re
0.297 * [backup-simplify]: Simplify im into im
0.297 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.297 * [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
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ 0 0) into 0
0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.299 * [backup-simplify]: Simplify (+ 1 1) into 2
0.299 * [taylor]: Taking taylor expansion of 2 in im
0.299 * [backup-simplify]: Simplify 2 into 2
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in im
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 2 into 2
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.303 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.303 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.303 * [taylor]: Taking taylor expansion of 1/2 in im
0.303 * [backup-simplify]: Simplify 1/2 into 1/2
0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.303 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.303 * [taylor]: Taking taylor expansion of im in im
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (* 1 1) into 1
0.303 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [taylor]: Taking taylor expansion of 0 in im
0.307 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.310 * [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))
0.310 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.310 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.310 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.310 * [taylor]: Taking taylor expansion of re in im
0.310 * [backup-simplify]: Simplify re into re
0.310 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.310 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.310 * [taylor]: Taking taylor expansion of im in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (* 1 1) into 1
0.310 * [backup-simplify]: Simplify (/ 1 1) into 1
0.311 * [backup-simplify]: Simplify (+ 0 1) into 1
0.311 * [backup-simplify]: Simplify (sqrt 1) into 1
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.312 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re)
0.312 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.313 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.313 * [taylor]: Taking taylor expansion of re in re
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (/ 1 1) into 1
0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.313 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.313 * [taylor]: Taking taylor expansion of im in re
0.313 * [backup-simplify]: Simplify im into im
0.313 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.313 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.314 * [backup-simplify]: Simplify (+ 1 0) into 1
0.314 * [backup-simplify]: Simplify (sqrt 1) into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.315 * [taylor]: Taking taylor expansion of re in re
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.316 * [taylor]: Taking taylor expansion of re in re
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.316 * [backup-simplify]: Simplify (/ 1 1) into 1
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.316 * [taylor]: Taking taylor expansion of im in re
0.316 * [backup-simplify]: Simplify im into im
0.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.316 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.317 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (sqrt 1) into 1
0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.318 * [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
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [backup-simplify]: Simplify (- 1) into -1
0.320 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- 0) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in im
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.325 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (- 0) into 0
0.327 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.327 * [taylor]: Taking taylor expansion of 1/2 in im
0.327 * [backup-simplify]: Simplify 1/2 into 1/2
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.327 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.327 * [taylor]: Taking taylor expansion of im in im
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in im
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.341 * [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))))))
0.341 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.341 * [taylor]: Taking taylor expansion of 2.0 in im
0.341 * [backup-simplify]: Simplify 2.0 into 2.0
0.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.342 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.343 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.343 * [taylor]: Taking taylor expansion of re in im
0.343 * [backup-simplify]: Simplify re into re
0.343 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.343 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.343 * [taylor]: Taking taylor expansion of re in im
0.343 * [backup-simplify]: Simplify re into re
0.343 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.343 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.343 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.343 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.344 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.344 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.345 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.345 * [taylor]: Taking taylor expansion of 2.0 in re
0.345 * [backup-simplify]: Simplify 2.0 into 2.0
0.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.346 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.346 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.346 * [taylor]: Taking taylor expansion of re in re
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.346 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.346 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.346 * [taylor]: Taking taylor expansion of im in re
0.346 * [backup-simplify]: Simplify im into im
0.346 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.346 * [taylor]: Taking taylor expansion of re in re
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.346 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.347 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.347 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 im) into im
0.347 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.348 * [backup-simplify]: Simplify (+ 1 0) into 1
0.348 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.348 * [taylor]: Taking taylor expansion of 2.0 in re
0.348 * [backup-simplify]: Simplify 2.0 into 2.0
0.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.349 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.349 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.349 * [taylor]: Taking taylor expansion of re in re
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.349 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.349 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.349 * [taylor]: Taking taylor expansion of im in re
0.349 * [backup-simplify]: Simplify im into im
0.349 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.349 * [taylor]: Taking taylor expansion of re in re
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.350 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.350 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.350 * [backup-simplify]: Simplify (+ 0 im) into im
0.350 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.351 * [backup-simplify]: Simplify (+ 1 0) into 1
0.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.351 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.352 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.352 * [taylor]: Taking taylor expansion of 2.0 in im
0.352 * [backup-simplify]: Simplify 2.0 into 2.0
0.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.353 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.353 * [taylor]: Taking taylor expansion of im in im
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (sqrt 0) into 0
0.355 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.355 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.356 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.356 * [taylor]: Taking taylor expansion of 1/2 in im
0.356 * [backup-simplify]: Simplify 1/2 into 1/2
0.356 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.356 * [taylor]: Taking taylor expansion of 2.0 in im
0.356 * [backup-simplify]: Simplify 2.0 into 2.0
0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.357 * [taylor]: Taking taylor expansion of im in im
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (/ 1 1) into 1
0.358 * [backup-simplify]: Simplify (sqrt 0) into 0
0.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.362 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.366 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.368 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.372 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.372 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.373 * [backup-simplify]: Simplify (* 1 1) into 1
0.373 * [backup-simplify]: Simplify (+ 0 1) into 1
0.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.374 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.375 * [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))))
0.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.377 * [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)))))
0.377 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.377 * [taylor]: Taking taylor expansion of 1/8 in im
0.377 * [backup-simplify]: Simplify 1/8 into 1/8
0.377 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.377 * [taylor]: Taking taylor expansion of 2.0 in im
0.377 * [backup-simplify]: Simplify 2.0 into 2.0
0.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.378 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.378 * [taylor]: Taking taylor expansion of im in im
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [backup-simplify]: Simplify (sqrt 0) into 0
0.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.387 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.389 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.390 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.390 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.393 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.394 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.397 * [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)))))))
0.397 * [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)))))))
0.397 * [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
0.397 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.397 * [taylor]: Taking taylor expansion of 2.0 in im
0.397 * [backup-simplify]: Simplify 2.0 into 2.0
0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.398 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.398 * [taylor]: Taking taylor expansion of re in im
0.398 * [backup-simplify]: Simplify re into re
0.398 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.398 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.398 * [taylor]: Taking taylor expansion of re in im
0.398 * [backup-simplify]: Simplify re into re
0.398 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.399 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.399 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.399 * [taylor]: Taking taylor expansion of im in im
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (/ 1 1) into 1
0.399 * [backup-simplify]: Simplify (+ 0 1) into 1
0.400 * [backup-simplify]: Simplify (sqrt 1) into 1
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ 0 0) into 0
0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.401 * [backup-simplify]: Simplify (+ 0 1) into 1
0.402 * [backup-simplify]: Simplify (sqrt 0) into 0
0.403 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.403 * [taylor]: Taking taylor expansion of 2.0 in re
0.403 * [backup-simplify]: Simplify 2.0 into 2.0
0.403 * [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 re
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.403 * [taylor]: Taking taylor expansion of re in re
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.404 * [taylor]: Taking taylor expansion of re in re
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.405 * [taylor]: Taking taylor expansion of im in re
0.405 * [backup-simplify]: Simplify im into im
0.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.405 * [backup-simplify]: Simplify (+ 1 0) into 1
0.405 * [backup-simplify]: Simplify (sqrt 1) into 1
0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [backup-simplify]: Simplify (+ 1 1) into 2
0.407 * [backup-simplify]: Simplify (sqrt 0) into 0
0.408 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.408 * [taylor]: Taking taylor expansion of 2.0 in re
0.408 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.409 * [taylor]: Taking taylor expansion of re in re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (/ 1 1) into 1
0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.409 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.409 * [taylor]: Taking taylor expansion of re in re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (/ 1 1) into 1
0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.410 * [taylor]: Taking taylor expansion of im in re
0.410 * [backup-simplify]: Simplify im into im
0.410 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.410 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.410 * [backup-simplify]: Simplify (+ 1 0) into 1
0.411 * [backup-simplify]: Simplify (sqrt 1) into 1
0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.412 * [backup-simplify]: Simplify (+ 1 1) into 2
0.413 * [backup-simplify]: Simplify (sqrt 0) into 0
0.413 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.414 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.414 * [taylor]: Taking taylor expansion of 0 in im
0.414 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.416 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.416 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.416 * [taylor]: Taking taylor expansion of +nan.0 in im
0.416 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.416 * [taylor]: Taking taylor expansion of 2.0 in im
0.417 * [backup-simplify]: Simplify 2.0 into 2.0
0.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.418 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.419 * [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
0.426 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.426 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.426 * [taylor]: Taking taylor expansion of +nan.0 in im
0.426 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.426 * [taylor]: Taking taylor expansion of 2.0 in im
0.427 * [backup-simplify]: Simplify 2.0 into 2.0
0.427 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.429 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.431 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.432 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.437 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.439 * [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))
0.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.442 * [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))))))
0.442 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.442 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.442 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) 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 (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.443 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.443 * [taylor]: Taking taylor expansion of +nan.0 in im
0.443 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.443 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.443 * [taylor]: Taking taylor expansion of 2.0 in im
0.444 * [backup-simplify]: Simplify 2.0 into 2.0
0.444 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.445 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.445 * [taylor]: Taking taylor expansion of im in im
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (* 1 1) into 1
0.446 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.449 * [backup-simplify]: Simplify (- 0) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [backup-simplify]: Simplify (- 0) into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.451 * [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 0) (* 0 (sqrt 2.0))) into 0
0.453 * [backup-simplify]: Simplify (- 0) into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.455 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [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)))
0.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.460 * [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))))))
0.460 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.460 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.460 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.460 * [taylor]: Taking taylor expansion of +nan.0 in im
0.460 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.460 * [taylor]: Taking taylor expansion of 2.0 in im
0.460 * [backup-simplify]: Simplify 2.0 into 2.0
0.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.461 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.461 * [taylor]: Taking taylor expansion of +nan.0 in im
0.461 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.461 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.461 * [taylor]: Taking taylor expansion of 2.0 in im
0.461 * [backup-simplify]: Simplify 2.0 into 2.0
0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.462 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.462 * [taylor]: Taking taylor expansion of im in im
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.465 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify (+ 0 0) into 0
0.465 * [backup-simplify]: Simplify (- 0) into 0
0.465 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.469 * [backup-simplify]: Simplify (- 0) into 0
0.470 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.472 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.474 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.479 * [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))))))))
0.480 * [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))))
0.480 * [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
0.480 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.480 * [taylor]: Taking taylor expansion of 2.0 in im
0.480 * [backup-simplify]: Simplify 2.0 into 2.0
0.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.481 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.481 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.481 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.481 * [taylor]: Taking taylor expansion of re in im
0.481 * [backup-simplify]: Simplify re into re
0.481 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.481 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.482 * [taylor]: Taking taylor expansion of im in im
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [backup-simplify]: Simplify (+ 0 1) into 1
0.483 * [backup-simplify]: Simplify (sqrt 1) into 1
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.486 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.486 * [taylor]: Taking taylor expansion of re in im
0.486 * [backup-simplify]: Simplify re into re
0.486 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.487 * [backup-simplify]: Simplify (+ 1 0) into 1
0.487 * [backup-simplify]: Simplify (sqrt 0) into 0
0.489 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.489 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.489 * [taylor]: Taking taylor expansion of 2.0 in re
0.489 * [backup-simplify]: Simplify 2.0 into 2.0
0.489 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.490 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.490 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.490 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.490 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.490 * [taylor]: Taking taylor expansion of re in re
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (* 1 1) into 1
0.491 * [backup-simplify]: Simplify (/ 1 1) into 1
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.491 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.491 * [taylor]: Taking taylor expansion of im in re
0.491 * [backup-simplify]: Simplify im into im
0.491 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.492 * [backup-simplify]: Simplify (+ 1 0) into 1
0.492 * [backup-simplify]: Simplify (sqrt 1) into 1
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.495 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.495 * [taylor]: Taking taylor expansion of re in re
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [backup-simplify]: Simplify (- 1) into -1
0.496 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (- 0) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (- 0) into 0
0.500 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.500 * [backup-simplify]: Simplify (sqrt 0) into 0
0.501 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.501 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.501 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.501 * [taylor]: Taking taylor expansion of 2.0 in re
0.501 * [backup-simplify]: Simplify 2.0 into 2.0
0.501 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.502 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.502 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.502 * [taylor]: Taking taylor expansion of re in re
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (* 1 1) into 1
0.502 * [backup-simplify]: Simplify (/ 1 1) into 1
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.502 * [taylor]: Taking taylor expansion of im in re
0.502 * [backup-simplify]: Simplify im into im
0.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.503 * [backup-simplify]: Simplify (+ 1 0) into 1
0.503 * [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
0.505 * [backup-simplify]: Simplify (- 1) into -1
0.506 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- 0) into 0
0.507 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- 0) into 0
0.510 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.510 * [backup-simplify]: Simplify (sqrt 0) into 0
0.511 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.511 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.511 * [taylor]: Taking taylor expansion of 0 in im
0.511 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.512 * [taylor]: Taking taylor expansion of +nan.0 in im
0.512 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.512 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.512 * [taylor]: Taking taylor expansion of 2.0 in im
0.512 * [backup-simplify]: Simplify 2.0 into 2.0
0.512 * [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 (pow im 2) in im
0.513 * [taylor]: Taking taylor expansion of im in im
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (* 1 1) into 1
0.513 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.515 * [backup-simplify]: Simplify (- 0) into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.517 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.519 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.520 * [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))))
0.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.520 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.520 * [taylor]: Taking taylor expansion of +nan.0 in im
0.520 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.520 * [taylor]: Taking taylor expansion of 2.0 in im
0.521 * [backup-simplify]: Simplify 2.0 into 2.0
0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.521 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.521 * [taylor]: Taking taylor expansion of im in im
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.522 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.538 * [backup-simplify]: Simplify (- 0) into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.545 * [backup-simplify]: Simplify (- 0) into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.549 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.550 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.553 * [backup-simplify]: Simplify (- 0) into 0
0.553 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.554 * [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)))))
0.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.557 * [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))))))
0.557 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.558 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.558 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.558 * [taylor]: Taking taylor expansion of +nan.0 in im
0.558 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.558 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.558 * [taylor]: Taking taylor expansion of 2.0 in im
0.558 * [backup-simplify]: Simplify 2.0 into 2.0
0.558 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.559 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.559 * [taylor]: Taking taylor expansion of im in im
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 1 into 1
0.559 * [backup-simplify]: Simplify (* 1 1) into 1
0.560 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.561 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.561 * [taylor]: Taking taylor expansion of +nan.0 in im
0.561 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.561 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.561 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.561 * [taylor]: Taking taylor expansion of 2.0 in im
0.561 * [backup-simplify]: Simplify 2.0 into 2.0
0.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.562 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.562 * [taylor]: Taking taylor expansion of im in im
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.563 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (* 1 1) into 1
0.564 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.577 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.594 * [backup-simplify]: Simplify (+ (* 1 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.609 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.609 * [backup-simplify]: Simplify (- 0) into 0
0.610 * [backup-simplify]: Simplify (+ 0 0) into 0
0.610 * [backup-simplify]: Simplify (- 0) into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * [backup-simplify]: Simplify 0 into 0
0.610 * * * [progress]: simplifying candidates
0.610 * * * * [progress]: [ 1 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
0.610 * * * * [progress]: [ 2 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
0.610 * * * * [progress]: [ 3 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
0.610 * * * * [progress]: [ 4 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
0.611 * * * * [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)))))>
0.611 * * * * [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)))))>
0.611 * * * * [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)))))>
0.611 * * * * [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)))))>
0.611 * * * * [progress]: [ 9 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
0.611 * * * * [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)))))>
0.611 * * * * [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)))))>
0.611 * * * * [progress]: [ 12 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
0.611 * * * * [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)))))>
0.611 * * * * [progress]: [ 14 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
0.611 * * * * [progress]: [ 15 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
0.611 * * * * [progress]: [ 16 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
0.611 * * * * [progress]: [ 17 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
0.611 * * * * [progress]: [ 18 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
0.611 * * * * [progress]: [ 19 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.612 * * * * [progress]: [ 20 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.612 * * * * [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)))))))>
0.612 * * * * [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)))))))>
0.612 * * * * [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)))))))>
0.612 * * * * [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))))))))>
0.612 * * * * [progress]: [ 25 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.612 * * * * [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))))))>
0.612 * * * * [progress]: [ 27 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.612 * * * * [progress]: [ 28 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.612 * * * * [progress]: [ 29 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))>
0.612 * * * * [progress]: [ 30 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
0.612 * * * * [progress]: [ 31 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
0.612 * * * * [progress]: [ 32 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.612 * * * * [progress]: [ 33 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.612 * * * * [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)))))))>
0.613 * * * * [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)))))))>
0.613 * * * * [progress]: [ 36 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.613 * * * * [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)))))))>
0.613 * * * * [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)))))>
0.613 * * * * [progress]: [ 39 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.613 * * * * [progress]: [ 40 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.613 * * * * [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)))))))>
0.613 * * * * [progress]: [ 42 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.613 * * * * [progress]: [ 43 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.613 * * * * [progress]: [ 44 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
0.613 * * * * [progress]: [ 45 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
0.613 * * * * [progress]: [ 46 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
0.613 * * * * [progress]: [ 47 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
0.613 * * * * [progress]: [ 48 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
0.613 * * * * [progress]: [ 49 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
0.613 * * * * [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)))))))))>
0.614 * * * * [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))))))))))>
0.614 * * * * [progress]: [ 52 / 52 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
0.615 * [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
0.616 * * [simplify]: iteration 1: (102 enodes)
0.657 * * [simplify]: iteration 2: (246 enodes)
0.745 * * [simplify]: iteration 3: (682 enodes)
1.190 * * [simplify]: Extracting #0: cost 48 inf + 0
1.190 * * [simplify]: Extracting #1: cost 140 inf + 47
1.191 * * [simplify]: Extracting #2: cost 370 inf + 704
1.196 * * [simplify]: Extracting #3: cost 354 inf + 21099
1.209 * * [simplify]: Extracting #4: cost 157 inf + 58222
1.234 * * [simplify]: Extracting #5: cost 33 inf + 92431
1.254 * * [simplify]: Extracting #6: cost 1 inf + 103326
1.274 * * [simplify]: Extracting #7: cost 0 inf + 103729
1.297 * [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) (* re re))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* 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) 0)
  (- (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) 0)))
  (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
  (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re)))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))
  0
1.301 * * * [progress]: adding candidates to table
1.851 * * [progress]: iteration 2 / 4
1.851 * * * [progress]: picking best candidate
1.878 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
1.878 * * * [progress]: localizing error
1.903 * * * [progress]: generating rewritten candidates
1.903 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
1.914 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
1.923 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.946 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
1.989 * * * [progress]: generating series expansions
1.989 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
1.990 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
1.990 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
1.990 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
1.990 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.990 * [taylor]: Taking taylor expansion of im in im
1.990 * [backup-simplify]: Simplify 0 into 0
1.990 * [backup-simplify]: Simplify 1 into 1
1.990 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.990 * [taylor]: Taking taylor expansion of re in im
1.990 * [backup-simplify]: Simplify re into re
1.990 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.990 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
1.990 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
1.990 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
1.991 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.991 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.991 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.991 * [taylor]: Taking taylor expansion of im in re
1.991 * [backup-simplify]: Simplify im into im
1.991 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.991 * [taylor]: Taking taylor expansion of re in re
1.991 * [backup-simplify]: Simplify 0 into 0
1.991 * [backup-simplify]: Simplify 1 into 1
1.991 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.991 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.991 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.991 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.992 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
1.992 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
1.992 * [taylor]: Taking taylor expansion of (pow im 2) in re
1.992 * [taylor]: Taking taylor expansion of im in re
1.992 * [backup-simplify]: Simplify im into im
1.992 * [taylor]: Taking taylor expansion of (pow re 2) in re
1.992 * [taylor]: Taking taylor expansion of re in re
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (* im im) into (pow im 2)
1.992 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
1.992 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
1.992 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
1.992 * [taylor]: Taking taylor expansion of im in im
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [taylor]: Taking taylor expansion of 0 in im
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify 1 into 1
1.993 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
1.993 * [backup-simplify]: Simplify (* 1 1) into 1
1.993 * [backup-simplify]: Simplify (+ 0 1) into 1
1.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
1.994 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
1.994 * [taylor]: Taking taylor expansion of 1/2 in im
1.994 * [backup-simplify]: Simplify 1/2 into 1/2
1.994 * [taylor]: Taking taylor expansion of im in im
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.994 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify 0 into 0
1.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.996 * [backup-simplify]: Simplify (+ 0 0) into 0
1.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
1.996 * [taylor]: Taking taylor expansion of 0 in im
1.996 * [backup-simplify]: Simplify 0 into 0
1.996 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
1.997 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
1.997 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
1.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
1.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
1.997 * [taylor]: Taking taylor expansion of (pow re 2) in im
1.997 * [taylor]: Taking taylor expansion of re in im
1.997 * [backup-simplify]: Simplify re into re
1.997 * [backup-simplify]: Simplify (* re re) into (pow re 2)
1.997 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
1.997 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
1.997 * [taylor]: Taking taylor expansion of (pow im 2) in im
1.997 * [taylor]: Taking taylor expansion of im in im
1.997 * [backup-simplify]: Simplify 0 into 0
1.997 * [backup-simplify]: Simplify 1 into 1
1.998 * [backup-simplify]: Simplify (* 1 1) into 1
1.998 * [backup-simplify]: Simplify (/ 1 1) into 1
1.998 * [backup-simplify]: Simplify (+ 0 1) into 1
1.999 * [backup-simplify]: Simplify (sqrt 1) into 1
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.002 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.002 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.002 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.002 * [taylor]: Taking taylor expansion of re in re
2.002 * [backup-simplify]: Simplify 0 into 0
2.002 * [backup-simplify]: Simplify 1 into 1
2.002 * [backup-simplify]: Simplify (* 1 1) into 1
2.003 * [backup-simplify]: Simplify (/ 1 1) into 1
2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.003 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.003 * [taylor]: Taking taylor expansion of im in re
2.003 * [backup-simplify]: Simplify im into im
2.003 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.003 * [backup-simplify]: Simplify (+ 1 0) into 1
2.004 * [backup-simplify]: Simplify (sqrt 1) into 1
2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.007 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.007 * [taylor]: Taking taylor expansion of re in re
2.007 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify 1 into 1
2.007 * [backup-simplify]: Simplify (* 1 1) into 1
2.007 * [backup-simplify]: Simplify (/ 1 1) into 1
2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.008 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.008 * [taylor]: Taking taylor expansion of im in re
2.008 * [backup-simplify]: Simplify im into im
2.008 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.008 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.008 * [backup-simplify]: Simplify (+ 1 0) into 1
2.009 * [backup-simplify]: Simplify (sqrt 1) into 1
2.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.011 * [backup-simplify]: Simplify (+ 0 0) into 0
2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.011 * [taylor]: Taking taylor expansion of 1 in im
2.011 * [backup-simplify]: Simplify 1 into 1
2.012 * [taylor]: Taking taylor expansion of 0 in im
2.012 * [backup-simplify]: Simplify 0 into 0
2.012 * [backup-simplify]: Simplify 1 into 1
2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.015 * [taylor]: Taking taylor expansion of 1/2 in im
2.015 * [backup-simplify]: Simplify 1/2 into 1/2
2.015 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.015 * [taylor]: Taking taylor expansion of im in im
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 1 into 1
2.016 * [backup-simplify]: Simplify (* 1 1) into 1
2.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify 0 into 0
2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.020 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.021 * [backup-simplify]: Simplify (+ 0 0) into 0
2.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.022 * [taylor]: Taking taylor expansion of 0 in im
2.022 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.025 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.025 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.025 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.025 * [taylor]: Taking taylor expansion of re in im
2.025 * [backup-simplify]: Simplify re into re
2.025 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.026 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.026 * [taylor]: Taking taylor expansion of im in im
2.026 * [backup-simplify]: Simplify 0 into 0
2.026 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (* 1 1) into 1
2.027 * [backup-simplify]: Simplify (/ 1 1) into 1
2.027 * [backup-simplify]: Simplify (+ 0 1) into 1
2.027 * [backup-simplify]: Simplify (sqrt 1) into 1
2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (+ 0 0) into 0
2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.030 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.030 * [taylor]: Taking taylor expansion of re in re
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.031 * [backup-simplify]: Simplify (/ 1 1) into 1
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.031 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.031 * [taylor]: Taking taylor expansion of im in re
2.031 * [backup-simplify]: Simplify im into im
2.031 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.032 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.032 * [backup-simplify]: Simplify (+ 1 0) into 1
2.032 * [backup-simplify]: Simplify (sqrt 1) into 1
2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.035 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.035 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.035 * [taylor]: Taking taylor expansion of re in re
2.035 * [backup-simplify]: Simplify 0 into 0
2.035 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (* 1 1) into 1
2.036 * [backup-simplify]: Simplify (/ 1 1) into 1
2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.036 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.036 * [taylor]: Taking taylor expansion of im in re
2.036 * [backup-simplify]: Simplify im into im
2.036 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.037 * [backup-simplify]: Simplify (+ 1 0) into 1
2.037 * [backup-simplify]: Simplify (sqrt 1) into 1
2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.039 * [backup-simplify]: Simplify (+ 0 0) into 0
2.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.040 * [taylor]: Taking taylor expansion of 1 in im
2.040 * [backup-simplify]: Simplify 1 into 1
2.040 * [taylor]: Taking taylor expansion of 0 in im
2.040 * [backup-simplify]: Simplify 0 into 0
2.040 * [backup-simplify]: Simplify 1 into 1
2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.042 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.043 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.043 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.044 * [taylor]: Taking taylor expansion of 1/2 in im
2.044 * [backup-simplify]: Simplify 1/2 into 1/2
2.044 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.044 * [taylor]: Taking taylor expansion of im in im
2.044 * [backup-simplify]: Simplify 0 into 0
2.044 * [backup-simplify]: Simplify 1 into 1
2.044 * [backup-simplify]: Simplify (* 1 1) into 1
2.044 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 0 into 0
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.050 * [taylor]: Taking taylor expansion of 0 in im
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
2.052 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.052 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.052 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.052 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.052 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.052 * [taylor]: Taking taylor expansion of im in im
2.052 * [backup-simplify]: Simplify 0 into 0
2.052 * [backup-simplify]: Simplify 1 into 1
2.052 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.052 * [taylor]: Taking taylor expansion of re in im
2.052 * [backup-simplify]: Simplify re into re
2.052 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.053 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.053 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.053 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.053 * [backup-simplify]: Simplify (+ 0 0) into 0
2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.053 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.053 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.053 * [taylor]: Taking taylor expansion of im in re
2.053 * [backup-simplify]: Simplify im into im
2.053 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.053 * [taylor]: Taking taylor expansion of re in re
2.053 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify 1 into 1
2.054 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.054 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.054 * [backup-simplify]: Simplify (+ 0 0) into 0
2.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.054 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.054 * [taylor]: Taking taylor expansion of im in re
2.055 * [backup-simplify]: Simplify im into im
2.055 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.055 * [taylor]: Taking taylor expansion of re in re
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.055 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.055 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.055 * [backup-simplify]: Simplify (+ 0 0) into 0
2.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.056 * [taylor]: Taking taylor expansion of im in im
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [taylor]: Taking taylor expansion of 0 in im
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 1 into 1
2.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.057 * [backup-simplify]: Simplify (* 1 1) into 1
2.057 * [backup-simplify]: Simplify (+ 0 1) into 1
2.058 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.058 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.058 * [taylor]: Taking taylor expansion of 1/2 in im
2.058 * [backup-simplify]: Simplify 1/2 into 1/2
2.058 * [taylor]: Taking taylor expansion of im in im
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 1 into 1
2.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.059 * [backup-simplify]: Simplify 0 into 0
2.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.061 * [backup-simplify]: Simplify (+ 0 0) into 0
2.061 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.061 * [taylor]: Taking taylor expansion of 0 in im
2.061 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify 0 into 0
2.063 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.063 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.063 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.063 * [taylor]: Taking taylor expansion of re in im
2.063 * [backup-simplify]: Simplify re into re
2.063 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.063 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.063 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.063 * [taylor]: Taking taylor expansion of im in im
2.063 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [backup-simplify]: Simplify (* 1 1) into 1
2.064 * [backup-simplify]: Simplify (/ 1 1) into 1
2.065 * [backup-simplify]: Simplify (+ 0 1) into 1
2.065 * [backup-simplify]: Simplify (sqrt 1) into 1
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ 0 0) into 0
2.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.068 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.068 * [taylor]: Taking taylor expansion of re in re
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [backup-simplify]: Simplify (* 1 1) into 1
2.069 * [backup-simplify]: Simplify (/ 1 1) into 1
2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.069 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.069 * [taylor]: Taking taylor expansion of im in re
2.069 * [backup-simplify]: Simplify im into im
2.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.069 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.069 * [backup-simplify]: Simplify (+ 1 0) into 1
2.070 * [backup-simplify]: Simplify (sqrt 1) into 1
2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.072 * [backup-simplify]: Simplify (+ 0 0) into 0
2.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.073 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.073 * [taylor]: Taking taylor expansion of re in re
2.073 * [backup-simplify]: Simplify 0 into 0
2.073 * [backup-simplify]: Simplify 1 into 1
2.073 * [backup-simplify]: Simplify (* 1 1) into 1
2.073 * [backup-simplify]: Simplify (/ 1 1) into 1
2.073 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.073 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.073 * [taylor]: Taking taylor expansion of im in re
2.073 * [backup-simplify]: Simplify im into im
2.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.074 * [backup-simplify]: Simplify (+ 1 0) into 1
2.074 * [backup-simplify]: Simplify (sqrt 1) into 1
2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.076 * [backup-simplify]: Simplify (+ 0 0) into 0
2.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.077 * [taylor]: Taking taylor expansion of 1 in im
2.077 * [backup-simplify]: Simplify 1 into 1
2.077 * [taylor]: Taking taylor expansion of 0 in im
2.077 * [backup-simplify]: Simplify 0 into 0
2.077 * [backup-simplify]: Simplify 1 into 1
2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.081 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.081 * [taylor]: Taking taylor expansion of 1/2 in im
2.081 * [backup-simplify]: Simplify 1/2 into 1/2
2.081 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.081 * [taylor]: Taking taylor expansion of im in im
2.081 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify 1 into 1
2.081 * [backup-simplify]: Simplify (* 1 1) into 1
2.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 0 into 0
2.083 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.086 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.087 * [backup-simplify]: Simplify (+ 0 0) into 0
2.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.087 * [taylor]: Taking taylor expansion of 0 in im
2.087 * [backup-simplify]: Simplify 0 into 0
2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify 0 into 0
2.089 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.090 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.090 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.090 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.090 * [taylor]: Taking taylor expansion of re in im
2.090 * [backup-simplify]: Simplify re into re
2.090 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.090 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.090 * [taylor]: Taking taylor expansion of im in im
2.090 * [backup-simplify]: Simplify 0 into 0
2.090 * [backup-simplify]: Simplify 1 into 1
2.091 * [backup-simplify]: Simplify (* 1 1) into 1
2.091 * [backup-simplify]: Simplify (/ 1 1) into 1
2.092 * [backup-simplify]: Simplify (+ 0 1) into 1
2.092 * [backup-simplify]: Simplify (sqrt 1) into 1
2.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.094 * [backup-simplify]: Simplify (+ 0 0) into 0
2.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.095 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.095 * [taylor]: Taking taylor expansion of re in re
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [backup-simplify]: Simplify 1 into 1
2.095 * [backup-simplify]: Simplify (* 1 1) into 1
2.096 * [backup-simplify]: Simplify (/ 1 1) into 1
2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.096 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.096 * [taylor]: Taking taylor expansion of im in re
2.096 * [backup-simplify]: Simplify im into im
2.096 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.096 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.096 * [backup-simplify]: Simplify (+ 1 0) into 1
2.097 * [backup-simplify]: Simplify (sqrt 1) into 1
2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.099 * [backup-simplify]: Simplify (+ 0 0) into 0
2.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.100 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.100 * [taylor]: Taking taylor expansion of re in re
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 1 into 1
2.100 * [backup-simplify]: Simplify (* 1 1) into 1
2.100 * [backup-simplify]: Simplify (/ 1 1) into 1
2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.100 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.101 * [taylor]: Taking taylor expansion of im in re
2.101 * [backup-simplify]: Simplify im into im
2.101 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.101 * [backup-simplify]: Simplify (+ 1 0) into 1
2.102 * [backup-simplify]: Simplify (sqrt 1) into 1
2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.103 * [backup-simplify]: Simplify (+ 0 0) into 0
2.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.104 * [taylor]: Taking taylor expansion of 1 in im
2.104 * [backup-simplify]: Simplify 1 into 1
2.104 * [taylor]: Taking taylor expansion of 0 in im
2.104 * [backup-simplify]: Simplify 0 into 0
2.104 * [backup-simplify]: Simplify 1 into 1
2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.107 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.108 * [taylor]: Taking taylor expansion of 1/2 in im
2.108 * [backup-simplify]: Simplify 1/2 into 1/2
2.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.108 * [taylor]: Taking taylor expansion of im in im
2.108 * [backup-simplify]: Simplify 0 into 0
2.108 * [backup-simplify]: Simplify 1 into 1
2.108 * [backup-simplify]: Simplify (* 1 1) into 1
2.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.115 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.118 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.119 * [taylor]: Taking taylor expansion of 0 in im
2.119 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.122 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
2.122 * [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))))
2.122 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.122 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.122 * [taylor]: Taking taylor expansion of re in im
2.122 * [backup-simplify]: Simplify re into re
2.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.122 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.122 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.122 * [taylor]: Taking taylor expansion of im in im
2.122 * [backup-simplify]: Simplify 0 into 0
2.122 * [backup-simplify]: Simplify 1 into 1
2.122 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.123 * [taylor]: Taking taylor expansion of re in im
2.123 * [backup-simplify]: Simplify re into re
2.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.123 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.123 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.123 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.123 * [backup-simplify]: Simplify (+ 0 0) into 0
2.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.124 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.124 * [taylor]: Taking taylor expansion of re in re
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.124 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.124 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.124 * [taylor]: Taking taylor expansion of im in re
2.124 * [backup-simplify]: Simplify im into im
2.124 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.124 * [taylor]: Taking taylor expansion of re in re
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.124 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.124 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.125 * [backup-simplify]: Simplify (+ 0 0) into 0
2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.125 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.125 * [taylor]: Taking taylor expansion of re in re
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.125 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.125 * [taylor]: Taking taylor expansion of im in re
2.125 * [backup-simplify]: Simplify im into im
2.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.125 * [taylor]: Taking taylor expansion of re in re
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.125 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.125 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.126 * [backup-simplify]: Simplify (+ 0 0) into 0
2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.126 * [backup-simplify]: Simplify (+ 0 im) into im
2.126 * [taylor]: Taking taylor expansion of im in im
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify 0 into 0
2.127 * [backup-simplify]: Simplify (+ 1 0) into 1
2.127 * [taylor]: Taking taylor expansion of 1 in im
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.128 * [backup-simplify]: Simplify (* 1 1) into 1
2.128 * [backup-simplify]: Simplify (+ 0 1) into 1
2.129 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.129 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.129 * [taylor]: Taking taylor expansion of 1/2 in im
2.129 * [backup-simplify]: Simplify 1/2 into 1/2
2.129 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.129 * [taylor]: Taking taylor expansion of im in im
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (/ 1 1) into 1
2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.131 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.133 * [backup-simplify]: Simplify (+ 0 0) into 0
2.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.133 * [backup-simplify]: Simplify (+ 0 0) into 0
2.133 * [taylor]: Taking taylor expansion of 0 in im
2.133 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify 0 into 0
2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.135 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.136 * [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)))))
2.136 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.136 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.136 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.136 * [taylor]: Taking taylor expansion of re in im
2.136 * [backup-simplify]: Simplify re into re
2.136 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.136 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.137 * [taylor]: Taking taylor expansion of re in im
2.137 * [backup-simplify]: Simplify re into re
2.137 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.137 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.137 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.137 * [taylor]: Taking taylor expansion of im in im
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [backup-simplify]: Simplify (* 1 1) into 1
2.138 * [backup-simplify]: Simplify (/ 1 1) into 1
2.138 * [backup-simplify]: Simplify (+ 0 1) into 1
2.138 * [backup-simplify]: Simplify (sqrt 1) into 1
2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.140 * [backup-simplify]: Simplify (+ 0 0) into 0
2.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.141 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.141 * [taylor]: Taking taylor expansion of re in re
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify (/ 1 1) into 1
2.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.141 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.141 * [taylor]: Taking taylor expansion of re in re
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify (* 1 1) into 1
2.142 * [backup-simplify]: Simplify (/ 1 1) into 1
2.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.142 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.142 * [taylor]: Taking taylor expansion of im in re
2.142 * [backup-simplify]: Simplify im into im
2.142 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.143 * [backup-simplify]: Simplify (+ 1 0) into 1
2.143 * [backup-simplify]: Simplify (sqrt 1) into 1
2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.145 * [backup-simplify]: Simplify (+ 0 0) into 0
2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.145 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.145 * [taylor]: Taking taylor expansion of re in re
2.145 * [backup-simplify]: Simplify 0 into 0
2.145 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (/ 1 1) into 1
2.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.146 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.146 * [taylor]: Taking taylor expansion of re in re
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.146 * [backup-simplify]: Simplify (* 1 1) into 1
2.146 * [backup-simplify]: Simplify (/ 1 1) into 1
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.147 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.147 * [taylor]: Taking taylor expansion of im in re
2.147 * [backup-simplify]: Simplify im into im
2.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.147 * [backup-simplify]: Simplify (+ 1 0) into 1
2.147 * [backup-simplify]: Simplify (sqrt 1) into 1
2.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.149 * [backup-simplify]: Simplify (+ 0 0) into 0
2.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.150 * [backup-simplify]: Simplify (+ 1 1) into 2
2.150 * [taylor]: Taking taylor expansion of 2 in im
2.150 * [backup-simplify]: Simplify 2 into 2
2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.152 * [backup-simplify]: Simplify (+ 0 0) into 0
2.152 * [taylor]: Taking taylor expansion of 0 in im
2.152 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify 2 into 2
2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.155 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.155 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.155 * [taylor]: Taking taylor expansion of 1/2 in im
2.155 * [backup-simplify]: Simplify 1/2 into 1/2
2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.155 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.155 * [taylor]: Taking taylor expansion of im in im
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (* 1 1) into 1
2.156 * [backup-simplify]: Simplify (/ 1 1) into 1
2.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.161 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.161 * [backup-simplify]: Simplify (+ 0 0) into 0
2.161 * [taylor]: Taking taylor expansion of 0 in im
2.161 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.163 * [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))
2.163 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.163 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.163 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.163 * [taylor]: Taking taylor expansion of re in im
2.163 * [backup-simplify]: Simplify re into re
2.163 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.164 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.164 * [taylor]: Taking taylor expansion of im in im
2.164 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify 1 into 1
2.164 * [backup-simplify]: Simplify (* 1 1) into 1
2.164 * [backup-simplify]: Simplify (/ 1 1) into 1
2.164 * [backup-simplify]: Simplify (+ 0 1) into 1
2.165 * [backup-simplify]: Simplify (sqrt 1) into 1
2.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.166 * [backup-simplify]: Simplify (+ 0 0) into 0
2.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.166 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.166 * [taylor]: Taking taylor expansion of re in im
2.166 * [backup-simplify]: Simplify re into re
2.166 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.166 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.166 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.166 * [taylor]: Taking taylor expansion of re in re
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 1 into 1
2.167 * [backup-simplify]: Simplify (* 1 1) into 1
2.167 * [backup-simplify]: Simplify (/ 1 1) into 1
2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.167 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.167 * [taylor]: Taking taylor expansion of im in re
2.167 * [backup-simplify]: Simplify im into im
2.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.167 * [backup-simplify]: Simplify (+ 1 0) into 1
2.168 * [backup-simplify]: Simplify (sqrt 1) into 1
2.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ 0 0) into 0
2.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.169 * [taylor]: Taking taylor expansion of re in re
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify (/ 1 1) into 1
2.169 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.169 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.169 * [taylor]: Taking taylor expansion of re in re
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 1 into 1
2.170 * [backup-simplify]: Simplify (* 1 1) into 1
2.170 * [backup-simplify]: Simplify (/ 1 1) into 1
2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.170 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.170 * [taylor]: Taking taylor expansion of im in re
2.170 * [backup-simplify]: Simplify im into im
2.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.170 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.170 * [backup-simplify]: Simplify (+ 1 0) into 1
2.171 * [backup-simplify]: Simplify (sqrt 1) into 1
2.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.172 * [backup-simplify]: Simplify (+ 0 0) into 0
2.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.172 * [taylor]: Taking taylor expansion of re in re
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.173 * [backup-simplify]: Simplify (/ 1 1) into 1
2.173 * [backup-simplify]: Simplify (- 1) into -1
2.173 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.173 * [taylor]: Taking taylor expansion of 0 in im
2.173 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.174 * [backup-simplify]: Simplify (- 0) into 0
2.174 * [backup-simplify]: Simplify (+ 0 0) into 0
2.174 * [taylor]: Taking taylor expansion of 0 in im
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.177 * [backup-simplify]: Simplify (- 0) into 0
2.177 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.177 * [taylor]: Taking taylor expansion of 1/2 in im
2.177 * [backup-simplify]: Simplify 1/2 into 1/2
2.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.177 * [taylor]: Taking taylor expansion of im in im
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (* 1 1) into 1
2.178 * [backup-simplify]: Simplify (/ 1 1) into 1
2.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.180 * [backup-simplify]: Simplify (+ 0 0) into 0
2.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.182 * [backup-simplify]: Simplify (- 0) into 0
2.182 * [backup-simplify]: Simplify (+ 0 0) into 0
2.182 * [taylor]: Taking taylor expansion of 0 in im
2.182 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
2.186 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
2.186 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.186 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.186 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.186 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.186 * [taylor]: Taking taylor expansion of im in im
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify 1 into 1
2.186 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.186 * [taylor]: Taking taylor expansion of re in im
2.186 * [backup-simplify]: Simplify re into re
2.186 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.186 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.186 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.186 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.187 * [backup-simplify]: Simplify (+ 0 0) into 0
2.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.187 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.187 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.187 * [taylor]: Taking taylor expansion of im in re
2.187 * [backup-simplify]: Simplify im into im
2.187 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.187 * [taylor]: Taking taylor expansion of re in re
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify 1 into 1
2.187 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.187 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.187 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.188 * [backup-simplify]: Simplify (+ 0 0) into 0
2.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.188 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.188 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.188 * [taylor]: Taking taylor expansion of im in re
2.188 * [backup-simplify]: Simplify im into im
2.188 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.188 * [taylor]: Taking taylor expansion of re in re
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 1 into 1
2.188 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.188 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.188 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.188 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.189 * [backup-simplify]: Simplify (+ 0 0) into 0
2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.189 * [taylor]: Taking taylor expansion of im in im
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 1 into 1
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [taylor]: Taking taylor expansion of 0 in im
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.190 * [backup-simplify]: Simplify (* 1 1) into 1
2.191 * [backup-simplify]: Simplify (+ 0 1) into 1
2.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.191 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.191 * [taylor]: Taking taylor expansion of 1/2 in im
2.191 * [backup-simplify]: Simplify 1/2 into 1/2
2.191 * [taylor]: Taking taylor expansion of im in im
2.191 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 1 into 1
2.192 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 0 into 0
2.194 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.195 * [backup-simplify]: Simplify (+ 0 0) into 0
2.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.195 * [taylor]: Taking taylor expansion of 0 in im
2.195 * [backup-simplify]: Simplify 0 into 0
2.195 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.197 * [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))))
2.197 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.197 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.197 * [taylor]: Taking taylor expansion of re in im
2.197 * [backup-simplify]: Simplify re into re
2.198 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.198 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.198 * [taylor]: Taking taylor expansion of im in im
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 1 into 1
2.198 * [backup-simplify]: Simplify (* 1 1) into 1
2.199 * [backup-simplify]: Simplify (/ 1 1) into 1
2.199 * [backup-simplify]: Simplify (+ 0 1) into 1
2.199 * [backup-simplify]: Simplify (sqrt 1) into 1
2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.201 * [backup-simplify]: Simplify (+ 0 0) into 0
2.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.202 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.202 * [taylor]: Taking taylor expansion of re in re
2.202 * [backup-simplify]: Simplify 0 into 0
2.202 * [backup-simplify]: Simplify 1 into 1
2.203 * [backup-simplify]: Simplify (* 1 1) into 1
2.203 * [backup-simplify]: Simplify (/ 1 1) into 1
2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.203 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.203 * [taylor]: Taking taylor expansion of im in re
2.203 * [backup-simplify]: Simplify im into im
2.203 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.203 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.204 * [backup-simplify]: Simplify (+ 1 0) into 1
2.204 * [backup-simplify]: Simplify (sqrt 1) into 1
2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.206 * [backup-simplify]: Simplify (+ 0 0) into 0
2.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.207 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.207 * [taylor]: Taking taylor expansion of re in re
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 1 into 1
2.207 * [backup-simplify]: Simplify (* 1 1) into 1
2.208 * [backup-simplify]: Simplify (/ 1 1) into 1
2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.208 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.208 * [taylor]: Taking taylor expansion of im in re
2.208 * [backup-simplify]: Simplify im into im
2.208 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.208 * [backup-simplify]: Simplify (+ 1 0) into 1
2.209 * [backup-simplify]: Simplify (sqrt 1) into 1
2.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.211 * [backup-simplify]: Simplify (+ 0 0) into 0
2.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.211 * [taylor]: Taking taylor expansion of 1 in im
2.211 * [backup-simplify]: Simplify 1 into 1
2.211 * [taylor]: Taking taylor expansion of 0 in im
2.211 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 1 into 1
2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.215 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.215 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.215 * [taylor]: Taking taylor expansion of 1/2 in im
2.215 * [backup-simplify]: Simplify 1/2 into 1/2
2.215 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.215 * [taylor]: Taking taylor expansion of im in im
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (* 1 1) into 1
2.216 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.217 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.218 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.221 * [taylor]: Taking taylor expansion of 0 in im
2.221 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.223 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify 0 into 0
2.224 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.224 * [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))))
2.224 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.225 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.225 * [taylor]: Taking taylor expansion of re in im
2.225 * [backup-simplify]: Simplify re into re
2.225 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.225 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.225 * [taylor]: Taking taylor expansion of im in im
2.225 * [backup-simplify]: Simplify 0 into 0
2.225 * [backup-simplify]: Simplify 1 into 1
2.225 * [backup-simplify]: Simplify (* 1 1) into 1
2.226 * [backup-simplify]: Simplify (/ 1 1) into 1
2.226 * [backup-simplify]: Simplify (+ 0 1) into 1
2.226 * [backup-simplify]: Simplify (sqrt 1) into 1
2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.227 * [backup-simplify]: Simplify (+ 0 0) into 0
2.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.228 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.228 * [taylor]: Taking taylor expansion of re in re
2.228 * [backup-simplify]: Simplify 0 into 0
2.228 * [backup-simplify]: Simplify 1 into 1
2.228 * [backup-simplify]: Simplify (* 1 1) into 1
2.229 * [backup-simplify]: Simplify (/ 1 1) into 1
2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.229 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.229 * [taylor]: Taking taylor expansion of im in re
2.229 * [backup-simplify]: Simplify im into im
2.229 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.229 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.229 * [backup-simplify]: Simplify (+ 1 0) into 1
2.229 * [backup-simplify]: Simplify (sqrt 1) into 1
2.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.230 * [backup-simplify]: Simplify (+ 0 0) into 0
2.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.231 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.231 * [taylor]: Taking taylor expansion of re in re
2.231 * [backup-simplify]: Simplify 0 into 0
2.231 * [backup-simplify]: Simplify 1 into 1
2.231 * [backup-simplify]: Simplify (* 1 1) into 1
2.231 * [backup-simplify]: Simplify (/ 1 1) into 1
2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.232 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.232 * [taylor]: Taking taylor expansion of im in re
2.232 * [backup-simplify]: Simplify im into im
2.232 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.232 * [backup-simplify]: Simplify (+ 1 0) into 1
2.232 * [backup-simplify]: Simplify (sqrt 1) into 1
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.233 * [backup-simplify]: Simplify (+ 0 0) into 0
2.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.234 * [taylor]: Taking taylor expansion of 1 in im
2.234 * [backup-simplify]: Simplify 1 into 1
2.234 * [taylor]: Taking taylor expansion of 0 in im
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.235 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.236 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.236 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.236 * [taylor]: Taking taylor expansion of 1/2 in im
2.236 * [backup-simplify]: Simplify 1/2 into 1/2
2.236 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.236 * [taylor]: Taking taylor expansion of im in im
2.236 * [backup-simplify]: Simplify 0 into 0
2.236 * [backup-simplify]: Simplify 1 into 1
2.236 * [backup-simplify]: Simplify (* 1 1) into 1
2.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify 0 into 0
2.243 * [backup-simplify]: Simplify 0 into 0
2.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.245 * [backup-simplify]: Simplify (+ 0 0) into 0
2.246 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.246 * [taylor]: Taking taylor expansion of 0 in im
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.247 * * * [progress]: simplifying candidates
2.247 * * * * [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)))))>
2.247 * * * * [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)))))>
2.247 * * * * [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)))))>
2.247 * * * * [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)))))>
2.247 * * * * [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)))))>
2.247 * * * * [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)))))>
2.247 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.248 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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))))))))>
2.249 * * * * [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))))))>
2.249 * * * * [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))))))>
2.249 * * * * [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)))))))>
2.249 * * * * [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))))))))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [progress]: [ 47 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.249 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [progress]: [ 59 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re)))))>
2.250 * * * * [progress]: [ 60 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [progress]: [ 70 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.250 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.251 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [progress]: [ 100 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re)))))>
2.252 * * * * [progress]: [ 101 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re)))))>
2.252 * * * * [progress]: [ 102 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re)))))>
2.252 * * * * [progress]: [ 103 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re)))))>
2.252 * * * * [progress]: [ 104 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.252 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [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)))))>
2.253 * * * * [progress]: [ 129 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re)))))>
2.253 * * * * [progress]: [ 130 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))>
2.253 * * * * [progress]: [ 131 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* -1 re))) re)))))>
2.253 * * * * [progress]: [ 132 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.253 * * * * [progress]: [ 133 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.253 * * * * [progress]: [ 134 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* -1 re)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
2.253 * * * * [progress]: [ 135 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
2.253 * * * * [progress]: [ 136 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
2.253 * * * * [progress]: [ 137 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
2.253 * * * * [progress]: [ 138 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
2.253 * * * * [progress]: [ 139 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
2.253 * * * * [progress]: [ 140 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
2.256 * [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))))))
  (exp (* (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)))) (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)))))))
  (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)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))
  (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))))))
  (* (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))))))
  (* (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))))))
  (* (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 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)
  (* (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))))))
  (* (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 (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))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 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)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (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 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)
2.261 * * [simplify]: iteration 1: (136 enodes)
2.317 * * [simplify]: iteration 2: (295 enodes)
2.434 * * [simplify]: iteration 3: (686 enodes)
2.807 * * [simplify]: iteration 4: (1660 enodes)
4.513 * * [simplify]: Extracting #0: cost 48 inf + 0
4.514 * * [simplify]: Extracting #1: cost 334 inf + 47
4.517 * * [simplify]: Extracting #2: cost 798 inf + 1669
4.525 * * [simplify]: Extracting #3: cost 1032 inf + 19245
4.558 * * [simplify]: Extracting #4: cost 685 inf + 142287
4.645 * * [simplify]: Extracting #5: cost 91 inf + 383798
4.766 * * [simplify]: Extracting #6: cost 0 inf + 424848
4.891 * [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) (* 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 (+ (* 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) (* 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 (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) 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))
  (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))
  (- (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* 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)))
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (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) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (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)))
  (* (cbrt (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 (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (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))))
  (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))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (* (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)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (fabs (cbrt (+ (* 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 (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))))
  (* (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 (+ (* 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 (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  im
  re
  (- re)
4.911 * * * [progress]: adding candidates to table
6.553 * * [progress]: iteration 3 / 4
6.554 * * * [progress]: picking best candidate
6.576 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
6.576 * * * [progress]: localizing error
6.634 * * * [progress]: generating rewritten candidates
6.634 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
6.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
6.658 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
6.701 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
6.784 * * * [progress]: generating series expansions
6.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
6.785 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.785 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.785 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.785 * [taylor]: Taking taylor expansion of im in im
6.785 * [backup-simplify]: Simplify 0 into 0
6.785 * [backup-simplify]: Simplify 1 into 1
6.785 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.785 * [taylor]: Taking taylor expansion of re in im
6.785 * [backup-simplify]: Simplify re into re
6.785 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.785 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.785 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.785 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.786 * [backup-simplify]: Simplify (+ 0 0) into 0
6.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.786 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.786 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.786 * [taylor]: Taking taylor expansion of im in re
6.786 * [backup-simplify]: Simplify im into im
6.786 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.786 * [taylor]: Taking taylor expansion of re in re
6.786 * [backup-simplify]: Simplify 0 into 0
6.786 * [backup-simplify]: Simplify 1 into 1
6.786 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.787 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.787 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.787 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.787 * [backup-simplify]: Simplify (+ 0 0) into 0
6.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.787 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.787 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.787 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.787 * [taylor]: Taking taylor expansion of im in re
6.787 * [backup-simplify]: Simplify im into im
6.787 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.787 * [taylor]: Taking taylor expansion of re in re
6.787 * [backup-simplify]: Simplify 0 into 0
6.787 * [backup-simplify]: Simplify 1 into 1
6.788 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.788 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.788 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.788 * [backup-simplify]: Simplify (+ 0 0) into 0
6.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.788 * [taylor]: Taking taylor expansion of im in im
6.788 * [backup-simplify]: Simplify 0 into 0
6.788 * [backup-simplify]: Simplify 1 into 1
6.788 * [backup-simplify]: Simplify 0 into 0
6.788 * [taylor]: Taking taylor expansion of 0 in im
6.789 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify 0 into 0
6.789 * [backup-simplify]: Simplify 1 into 1
6.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.789 * [backup-simplify]: Simplify (* 1 1) into 1
6.790 * [backup-simplify]: Simplify (+ 0 1) into 1
6.791 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.791 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.791 * [taylor]: Taking taylor expansion of 1/2 in im
6.791 * [backup-simplify]: Simplify 1/2 into 1/2
6.791 * [taylor]: Taking taylor expansion of im in im
6.791 * [backup-simplify]: Simplify 0 into 0
6.791 * [backup-simplify]: Simplify 1 into 1
6.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 0 into 0
6.792 * [backup-simplify]: Simplify 0 into 0
6.793 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.794 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.794 * [taylor]: Taking taylor expansion of 0 in im
6.794 * [backup-simplify]: Simplify 0 into 0
6.794 * [backup-simplify]: Simplify 0 into 0
6.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.796 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.796 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.796 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.796 * [taylor]: Taking taylor expansion of re in im
6.796 * [backup-simplify]: Simplify re into re
6.796 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.796 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.796 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.796 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.796 * [taylor]: Taking taylor expansion of im in im
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 1 into 1
6.797 * [backup-simplify]: Simplify (* 1 1) into 1
6.797 * [backup-simplify]: Simplify (/ 1 1) into 1
6.798 * [backup-simplify]: Simplify (+ 0 1) into 1
6.798 * [backup-simplify]: Simplify (sqrt 1) into 1
6.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.800 * [backup-simplify]: Simplify (+ 0 0) into 0
6.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.801 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.801 * [taylor]: Taking taylor expansion of re in re
6.801 * [backup-simplify]: Simplify 0 into 0
6.801 * [backup-simplify]: Simplify 1 into 1
6.801 * [backup-simplify]: Simplify (* 1 1) into 1
6.801 * [backup-simplify]: Simplify (/ 1 1) into 1
6.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.802 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.802 * [taylor]: Taking taylor expansion of im in re
6.802 * [backup-simplify]: Simplify im into im
6.802 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.802 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.802 * [backup-simplify]: Simplify (+ 1 0) into 1
6.803 * [backup-simplify]: Simplify (sqrt 1) into 1
6.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.804 * [backup-simplify]: Simplify (+ 0 0) into 0
6.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.805 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.805 * [taylor]: Taking taylor expansion of re in re
6.805 * [backup-simplify]: Simplify 0 into 0
6.805 * [backup-simplify]: Simplify 1 into 1
6.806 * [backup-simplify]: Simplify (* 1 1) into 1
6.806 * [backup-simplify]: Simplify (/ 1 1) into 1
6.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.806 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.806 * [taylor]: Taking taylor expansion of im in re
6.806 * [backup-simplify]: Simplify im into im
6.806 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.806 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.807 * [backup-simplify]: Simplify (+ 1 0) into 1
6.807 * [backup-simplify]: Simplify (sqrt 1) into 1
6.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.809 * [backup-simplify]: Simplify (+ 0 0) into 0
6.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.810 * [taylor]: Taking taylor expansion of 1 in im
6.810 * [backup-simplify]: Simplify 1 into 1
6.810 * [taylor]: Taking taylor expansion of 0 in im
6.810 * [backup-simplify]: Simplify 0 into 0
6.810 * [backup-simplify]: Simplify 1 into 1
6.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.812 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.813 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.813 * [taylor]: Taking taylor expansion of 1/2 in im
6.813 * [backup-simplify]: Simplify 1/2 into 1/2
6.813 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.813 * [taylor]: Taking taylor expansion of im in im
6.813 * [backup-simplify]: Simplify 0 into 0
6.813 * [backup-simplify]: Simplify 1 into 1
6.814 * [backup-simplify]: Simplify (* 1 1) into 1
6.814 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 0 into 0
6.816 * [backup-simplify]: Simplify 0 into 0
6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.818 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.818 * [backup-simplify]: Simplify (+ 0 0) into 0
6.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.819 * [taylor]: Taking taylor expansion of 0 in im
6.819 * [backup-simplify]: Simplify 0 into 0
6.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify 0 into 0
6.821 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.822 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.822 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.822 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.822 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.822 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.822 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.822 * [taylor]: Taking taylor expansion of re in im
6.822 * [backup-simplify]: Simplify re into re
6.822 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.822 * [taylor]: Taking taylor expansion of im in im
6.822 * [backup-simplify]: Simplify 0 into 0
6.822 * [backup-simplify]: Simplify 1 into 1
6.822 * [backup-simplify]: Simplify (* 1 1) into 1
6.823 * [backup-simplify]: Simplify (/ 1 1) into 1
6.823 * [backup-simplify]: Simplify (+ 0 1) into 1
6.824 * [backup-simplify]: Simplify (sqrt 1) into 1
6.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.827 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.827 * [taylor]: Taking taylor expansion of re in re
6.827 * [backup-simplify]: Simplify 0 into 0
6.827 * [backup-simplify]: Simplify 1 into 1
6.827 * [backup-simplify]: Simplify (* 1 1) into 1
6.828 * [backup-simplify]: Simplify (/ 1 1) into 1
6.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.828 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.828 * [taylor]: Taking taylor expansion of im in re
6.828 * [backup-simplify]: Simplify im into im
6.828 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.828 * [backup-simplify]: Simplify (+ 1 0) into 1
6.829 * [backup-simplify]: Simplify (sqrt 1) into 1
6.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.830 * [backup-simplify]: Simplify (+ 0 0) into 0
6.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.831 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.831 * [taylor]: Taking taylor expansion of re in re
6.831 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify 1 into 1
6.832 * [backup-simplify]: Simplify (* 1 1) into 1
6.832 * [backup-simplify]: Simplify (/ 1 1) into 1
6.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.832 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.832 * [taylor]: Taking taylor expansion of im in re
6.832 * [backup-simplify]: Simplify im into im
6.832 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.832 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.833 * [backup-simplify]: Simplify (+ 1 0) into 1
6.833 * [backup-simplify]: Simplify (sqrt 1) into 1
6.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.835 * [backup-simplify]: Simplify (+ 0 0) into 0
6.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.836 * [taylor]: Taking taylor expansion of 1 in im
6.836 * [backup-simplify]: Simplify 1 into 1
6.836 * [taylor]: Taking taylor expansion of 0 in im
6.836 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify 1 into 1
6.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.838 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.839 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.839 * [taylor]: Taking taylor expansion of 1/2 in im
6.839 * [backup-simplify]: Simplify 1/2 into 1/2
6.839 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.839 * [taylor]: Taking taylor expansion of im in im
6.839 * [backup-simplify]: Simplify 0 into 0
6.839 * [backup-simplify]: Simplify 1 into 1
6.840 * [backup-simplify]: Simplify (* 1 1) into 1
6.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.842 * [backup-simplify]: Simplify 0 into 0
6.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.845 * [backup-simplify]: Simplify (+ 0 0) into 0
6.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.845 * [taylor]: Taking taylor expansion of 0 in im
6.845 * [backup-simplify]: Simplify 0 into 0
6.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 0 into 0
6.847 * [backup-simplify]: Simplify 0 into 0
6.848 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.848 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
6.848 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
6.848 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.848 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.848 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.848 * [taylor]: Taking taylor expansion of im in im
6.848 * [backup-simplify]: Simplify 0 into 0
6.848 * [backup-simplify]: Simplify 1 into 1
6.848 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.848 * [taylor]: Taking taylor expansion of re in im
6.848 * [backup-simplify]: Simplify re into re
6.848 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.848 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.848 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.848 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.849 * [backup-simplify]: Simplify (+ 0 0) into 0
6.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.849 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.849 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.849 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.849 * [taylor]: Taking taylor expansion of im in re
6.849 * [backup-simplify]: Simplify im into im
6.849 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.849 * [taylor]: Taking taylor expansion of re in re
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 1 into 1
6.849 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.849 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.849 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.850 * [backup-simplify]: Simplify (+ 0 0) into 0
6.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.851 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.851 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.851 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.851 * [taylor]: Taking taylor expansion of im in re
6.851 * [backup-simplify]: Simplify im into im
6.851 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.851 * [taylor]: Taking taylor expansion of re in re
6.851 * [backup-simplify]: Simplify 0 into 0
6.851 * [backup-simplify]: Simplify 1 into 1
6.851 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.851 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.851 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.851 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.852 * [taylor]: Taking taylor expansion of im in im
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 1 into 1
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [taylor]: Taking taylor expansion of 0 in im
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 0 into 0
6.852 * [backup-simplify]: Simplify 1 into 1
6.853 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.853 * [backup-simplify]: Simplify (* 1 1) into 1
6.853 * [backup-simplify]: Simplify (+ 0 1) into 1
6.854 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.854 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.854 * [taylor]: Taking taylor expansion of 1/2 in im
6.854 * [backup-simplify]: Simplify 1/2 into 1/2
6.854 * [taylor]: Taking taylor expansion of im in im
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 1 into 1
6.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 0 into 0
6.857 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.858 * [backup-simplify]: Simplify (+ 0 0) into 0
6.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.858 * [taylor]: Taking taylor expansion of 0 in im
6.858 * [backup-simplify]: Simplify 0 into 0
6.858 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.859 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify 0 into 0
6.859 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.860 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.860 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.860 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.860 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.860 * [taylor]: Taking taylor expansion of re in im
6.860 * [backup-simplify]: Simplify re into re
6.860 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.860 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.860 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.860 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.860 * [taylor]: Taking taylor expansion of im in im
6.860 * [backup-simplify]: Simplify 0 into 0
6.860 * [backup-simplify]: Simplify 1 into 1
6.861 * [backup-simplify]: Simplify (* 1 1) into 1
6.861 * [backup-simplify]: Simplify (/ 1 1) into 1
6.862 * [backup-simplify]: Simplify (+ 0 1) into 1
6.862 * [backup-simplify]: Simplify (sqrt 1) into 1
6.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.864 * [backup-simplify]: Simplify (+ 0 0) into 0
6.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.865 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.865 * [taylor]: Taking taylor expansion of re in re
6.865 * [backup-simplify]: Simplify 0 into 0
6.865 * [backup-simplify]: Simplify 1 into 1
6.865 * [backup-simplify]: Simplify (* 1 1) into 1
6.866 * [backup-simplify]: Simplify (/ 1 1) into 1
6.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.866 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.866 * [taylor]: Taking taylor expansion of im in re
6.866 * [backup-simplify]: Simplify im into im
6.866 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.866 * [backup-simplify]: Simplify (+ 1 0) into 1
6.867 * [backup-simplify]: Simplify (sqrt 1) into 1
6.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.869 * [backup-simplify]: Simplify (+ 0 0) into 0
6.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.870 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.870 * [taylor]: Taking taylor expansion of re in re
6.870 * [backup-simplify]: Simplify 0 into 0
6.870 * [backup-simplify]: Simplify 1 into 1
6.870 * [backup-simplify]: Simplify (* 1 1) into 1
6.870 * [backup-simplify]: Simplify (/ 1 1) into 1
6.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.870 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.871 * [taylor]: Taking taylor expansion of im in re
6.871 * [backup-simplify]: Simplify im into im
6.871 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.871 * [backup-simplify]: Simplify (+ 1 0) into 1
6.872 * [backup-simplify]: Simplify (sqrt 1) into 1
6.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.873 * [backup-simplify]: Simplify (+ 0 0) into 0
6.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.874 * [taylor]: Taking taylor expansion of 1 in im
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [taylor]: Taking taylor expansion of 0 in im
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 1 into 1
6.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.877 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.878 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.878 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.878 * [taylor]: Taking taylor expansion of 1/2 in im
6.878 * [backup-simplify]: Simplify 1/2 into 1/2
6.878 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.878 * [taylor]: Taking taylor expansion of im in im
6.878 * [backup-simplify]: Simplify 0 into 0
6.878 * [backup-simplify]: Simplify 1 into 1
6.878 * [backup-simplify]: Simplify (* 1 1) into 1
6.879 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 0 into 0
6.880 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.883 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.884 * [backup-simplify]: Simplify (+ 0 0) into 0
6.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.885 * [taylor]: Taking taylor expansion of 0 in im
6.885 * [backup-simplify]: Simplify 0 into 0
6.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify 0 into 0
6.892 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.892 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
6.892 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
6.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.892 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.892 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.892 * [taylor]: Taking taylor expansion of re in im
6.893 * [backup-simplify]: Simplify re into re
6.893 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.893 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.893 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.893 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.893 * [taylor]: Taking taylor expansion of im in im
6.893 * [backup-simplify]: Simplify 0 into 0
6.893 * [backup-simplify]: Simplify 1 into 1
6.893 * [backup-simplify]: Simplify (* 1 1) into 1
6.894 * [backup-simplify]: Simplify (/ 1 1) into 1
6.894 * [backup-simplify]: Simplify (+ 0 1) into 1
6.895 * [backup-simplify]: Simplify (sqrt 1) into 1
6.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.896 * [backup-simplify]: Simplify (+ 0 0) into 0
6.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.897 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.897 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.897 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.897 * [taylor]: Taking taylor expansion of re in re
6.897 * [backup-simplify]: Simplify 0 into 0
6.897 * [backup-simplify]: Simplify 1 into 1
6.898 * [backup-simplify]: Simplify (* 1 1) into 1
6.898 * [backup-simplify]: Simplify (/ 1 1) into 1
6.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.898 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.898 * [taylor]: Taking taylor expansion of im in re
6.898 * [backup-simplify]: Simplify im into im
6.898 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.899 * [backup-simplify]: Simplify (+ 1 0) into 1
6.899 * [backup-simplify]: Simplify (sqrt 1) into 1
6.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.901 * [backup-simplify]: Simplify (+ 0 0) into 0
6.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.902 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.902 * [taylor]: Taking taylor expansion of re in re
6.902 * [backup-simplify]: Simplify 0 into 0
6.902 * [backup-simplify]: Simplify 1 into 1
6.902 * [backup-simplify]: Simplify (* 1 1) into 1
6.903 * [backup-simplify]: Simplify (/ 1 1) into 1
6.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.903 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.903 * [taylor]: Taking taylor expansion of im in re
6.903 * [backup-simplify]: Simplify im into im
6.903 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.903 * [backup-simplify]: Simplify (+ 1 0) into 1
6.904 * [backup-simplify]: Simplify (sqrt 1) into 1
6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (+ 0 0) into 0
6.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.906 * [taylor]: Taking taylor expansion of 1 in im
6.906 * [backup-simplify]: Simplify 1 into 1
6.906 * [taylor]: Taking taylor expansion of 0 in im
6.906 * [backup-simplify]: Simplify 0 into 0
6.906 * [backup-simplify]: Simplify 1 into 1
6.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.908 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.910 * [taylor]: Taking taylor expansion of 1/2 in im
6.910 * [backup-simplify]: Simplify 1/2 into 1/2
6.910 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.910 * [taylor]: Taking taylor expansion of im in im
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [backup-simplify]: Simplify (* 1 1) into 1
6.911 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.912 * [backup-simplify]: Simplify 0 into 0
6.912 * [backup-simplify]: Simplify 0 into 0
6.912 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.915 * [backup-simplify]: Simplify (+ 0 0) into 0
6.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.915 * [taylor]: Taking taylor expansion of 0 in im
6.915 * [backup-simplify]: Simplify 0 into 0
6.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.917 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.918 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
6.918 * [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))))
6.918 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
6.918 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
6.918 * [taylor]: Taking taylor expansion of re in im
6.918 * [backup-simplify]: Simplify re into re
6.918 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.918 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.918 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.918 * [taylor]: Taking taylor expansion of im in im
6.918 * [backup-simplify]: Simplify 0 into 0
6.918 * [backup-simplify]: Simplify 1 into 1
6.918 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.918 * [taylor]: Taking taylor expansion of re in im
6.918 * [backup-simplify]: Simplify re into re
6.919 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.919 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.919 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.919 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.919 * [backup-simplify]: Simplify (+ 0 0) into 0
6.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.919 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.919 * [taylor]: Taking taylor expansion of re in re
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify 1 into 1
6.919 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.919 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.919 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.920 * [taylor]: Taking taylor expansion of im in re
6.920 * [backup-simplify]: Simplify im into im
6.920 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.920 * [taylor]: Taking taylor expansion of re in re
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 1 into 1
6.920 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.920 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.920 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.920 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.920 * [backup-simplify]: Simplify (+ 0 0) into 0
6.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.920 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
6.920 * [taylor]: Taking taylor expansion of re in re
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 1 into 1
6.921 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.921 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.921 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.921 * [taylor]: Taking taylor expansion of im in re
6.921 * [backup-simplify]: Simplify im into im
6.921 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.921 * [taylor]: Taking taylor expansion of re in re
6.921 * [backup-simplify]: Simplify 0 into 0
6.921 * [backup-simplify]: Simplify 1 into 1
6.921 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.921 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.921 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.921 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.921 * [backup-simplify]: Simplify (+ 0 0) into 0
6.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.922 * [backup-simplify]: Simplify (+ 0 im) into im
6.922 * [taylor]: Taking taylor expansion of im in im
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify 1 into 1
6.922 * [backup-simplify]: Simplify 0 into 0
6.922 * [backup-simplify]: Simplify (+ 1 0) into 1
6.922 * [taylor]: Taking taylor expansion of 1 in im
6.922 * [backup-simplify]: Simplify 1 into 1
6.922 * [backup-simplify]: Simplify 1 into 1
6.922 * [backup-simplify]: Simplify 1 into 1
6.923 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.923 * [backup-simplify]: Simplify (* 1 1) into 1
6.924 * [backup-simplify]: Simplify (+ 0 1) into 1
6.924 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.924 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
6.924 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.924 * [taylor]: Taking taylor expansion of 1/2 in im
6.925 * [backup-simplify]: Simplify 1/2 into 1/2
6.925 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.925 * [taylor]: Taking taylor expansion of im in im
6.925 * [backup-simplify]: Simplify 0 into 0
6.925 * [backup-simplify]: Simplify 1 into 1
6.925 * [backup-simplify]: Simplify (/ 1 1) into 1
6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.926 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.928 * [backup-simplify]: Simplify (+ 0 0) into 0
6.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.929 * [backup-simplify]: Simplify (+ 0 0) into 0
6.929 * [taylor]: Taking taylor expansion of 0 in im
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.931 * [backup-simplify]: Simplify 0 into 0
6.931 * [backup-simplify]: Simplify 0 into 0
6.931 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.932 * [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)))))
6.932 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
6.932 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
6.932 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.932 * [taylor]: Taking taylor expansion of re in im
6.932 * [backup-simplify]: Simplify re into re
6.932 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.932 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.932 * [taylor]: Taking taylor expansion of re in im
6.932 * [backup-simplify]: Simplify re into re
6.932 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.932 * [taylor]: Taking taylor expansion of im in im
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 1 into 1
6.933 * [backup-simplify]: Simplify (* 1 1) into 1
6.933 * [backup-simplify]: Simplify (/ 1 1) into 1
6.933 * [backup-simplify]: Simplify (+ 0 1) into 1
6.934 * [backup-simplify]: Simplify (sqrt 1) into 1
6.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.936 * [backup-simplify]: Simplify (+ 0 0) into 0
6.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.936 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.936 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.936 * [taylor]: Taking taylor expansion of re in re
6.936 * [backup-simplify]: Simplify 0 into 0
6.936 * [backup-simplify]: Simplify 1 into 1
6.937 * [backup-simplify]: Simplify (/ 1 1) into 1
6.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.937 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.937 * [taylor]: Taking taylor expansion of re in re
6.937 * [backup-simplify]: Simplify 0 into 0
6.937 * [backup-simplify]: Simplify 1 into 1
6.937 * [backup-simplify]: Simplify (* 1 1) into 1
6.938 * [backup-simplify]: Simplify (/ 1 1) into 1
6.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.938 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.938 * [taylor]: Taking taylor expansion of im in re
6.938 * [backup-simplify]: Simplify im into im
6.938 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.938 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.939 * [backup-simplify]: Simplify (+ 1 0) into 1
6.939 * [backup-simplify]: Simplify (sqrt 1) into 1
6.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.941 * [backup-simplify]: Simplify (+ 0 0) into 0
6.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.941 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
6.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.941 * [taylor]: Taking taylor expansion of re in re
6.941 * [backup-simplify]: Simplify 0 into 0
6.941 * [backup-simplify]: Simplify 1 into 1
6.942 * [backup-simplify]: Simplify (/ 1 1) into 1
6.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.942 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.942 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.942 * [taylor]: Taking taylor expansion of re in re
6.942 * [backup-simplify]: Simplify 0 into 0
6.942 * [backup-simplify]: Simplify 1 into 1
6.942 * [backup-simplify]: Simplify (* 1 1) into 1
6.943 * [backup-simplify]: Simplify (/ 1 1) into 1
6.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.943 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.943 * [taylor]: Taking taylor expansion of im in re
6.943 * [backup-simplify]: Simplify im into im
6.943 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.943 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.943 * [backup-simplify]: Simplify (+ 1 0) into 1
6.944 * [backup-simplify]: Simplify (sqrt 1) into 1
6.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.946 * [backup-simplify]: Simplify (+ 0 0) into 0
6.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.947 * [backup-simplify]: Simplify (+ 1 1) into 2
6.947 * [taylor]: Taking taylor expansion of 2 in im
6.947 * [backup-simplify]: Simplify 2 into 2
6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.948 * [backup-simplify]: Simplify (+ 0 0) into 0
6.948 * [taylor]: Taking taylor expansion of 0 in im
6.948 * [backup-simplify]: Simplify 0 into 0
6.948 * [backup-simplify]: Simplify 2 into 2
6.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.951 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.952 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.952 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.952 * [taylor]: Taking taylor expansion of 1/2 in im
6.952 * [backup-simplify]: Simplify 1/2 into 1/2
6.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.952 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.953 * [taylor]: Taking taylor expansion of im in im
6.953 * [backup-simplify]: Simplify 0 into 0
6.953 * [backup-simplify]: Simplify 1 into 1
6.953 * [backup-simplify]: Simplify (* 1 1) into 1
6.953 * [backup-simplify]: Simplify (/ 1 1) into 1
6.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.955 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.958 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.959 * [backup-simplify]: Simplify (+ 0 0) into 0
6.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.959 * [backup-simplify]: Simplify (+ 0 0) into 0
6.959 * [taylor]: Taking taylor expansion of 0 in im
6.959 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify 0 into 0
6.961 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.962 * [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))
6.962 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
6.962 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
6.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
6.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
6.962 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.962 * [taylor]: Taking taylor expansion of re in im
6.962 * [backup-simplify]: Simplify re into re
6.962 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.962 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
6.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.962 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.962 * [taylor]: Taking taylor expansion of im in im
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.962 * [backup-simplify]: Simplify (* 1 1) into 1
6.962 * [backup-simplify]: Simplify (/ 1 1) into 1
6.963 * [backup-simplify]: Simplify (+ 0 1) into 1
6.963 * [backup-simplify]: Simplify (sqrt 1) into 1
6.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.964 * [backup-simplify]: Simplify (+ 0 0) into 0
6.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.965 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.965 * [taylor]: Taking taylor expansion of re in im
6.965 * [backup-simplify]: Simplify re into re
6.965 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.965 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.965 * [taylor]: Taking taylor expansion of re in re
6.965 * [backup-simplify]: Simplify 0 into 0
6.965 * [backup-simplify]: Simplify 1 into 1
6.965 * [backup-simplify]: Simplify (* 1 1) into 1
6.965 * [backup-simplify]: Simplify (/ 1 1) into 1
6.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.965 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.966 * [taylor]: Taking taylor expansion of im in re
6.966 * [backup-simplify]: Simplify im into im
6.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.966 * [backup-simplify]: Simplify (+ 1 0) into 1
6.966 * [backup-simplify]: Simplify (sqrt 1) into 1
6.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.967 * [backup-simplify]: Simplify (+ 0 0) into 0
6.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.968 * [taylor]: Taking taylor expansion of re in re
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 1 into 1
6.968 * [backup-simplify]: Simplify (/ 1 1) into 1
6.968 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
6.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.968 * [taylor]: Taking taylor expansion of re in re
6.968 * [backup-simplify]: Simplify 0 into 0
6.968 * [backup-simplify]: Simplify 1 into 1
6.968 * [backup-simplify]: Simplify (* 1 1) into 1
6.969 * [backup-simplify]: Simplify (/ 1 1) into 1
6.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.969 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.969 * [taylor]: Taking taylor expansion of im in re
6.969 * [backup-simplify]: Simplify im into im
6.969 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.969 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.969 * [backup-simplify]: Simplify (+ 1 0) into 1
6.969 * [backup-simplify]: Simplify (sqrt 1) into 1
6.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.971 * [backup-simplify]: Simplify (+ 0 0) into 0
6.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.971 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1
6.972 * [backup-simplify]: Simplify (- 1) into -1
6.972 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.972 * [taylor]: Taking taylor expansion of 0 in im
6.972 * [backup-simplify]: Simplify 0 into 0
6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.973 * [backup-simplify]: Simplify (- 0) into 0
6.973 * [backup-simplify]: Simplify (+ 0 0) into 0
6.973 * [taylor]: Taking taylor expansion of 0 in im
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify 0 into 0
6.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.974 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.975 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.976 * [backup-simplify]: Simplify (- 0) into 0
6.976 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.976 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.976 * [taylor]: Taking taylor expansion of 1/2 in im
6.976 * [backup-simplify]: Simplify 1/2 into 1/2
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
6.976 * [backup-simplify]: Simplify (/ 1 1) into 1
6.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify 0 into 0
6.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
6.979 * [backup-simplify]: Simplify (+ 0 0) into 0
6.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.981 * [backup-simplify]: Simplify (- 0) into 0
6.981 * [backup-simplify]: Simplify (+ 0 0) into 0
6.981 * [taylor]: Taking taylor expansion of 0 in im
6.981 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * [backup-simplify]: Simplify 0 into 0
6.983 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
6.984 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
6.984 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
6.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
6.984 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
6.984 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.984 * [taylor]: Taking taylor expansion of im in im
6.984 * [backup-simplify]: Simplify 0 into 0
6.984 * [backup-simplify]: Simplify 1 into 1
6.984 * [taylor]: Taking taylor expansion of (pow re 2) in im
6.984 * [taylor]: Taking taylor expansion of re in im
6.984 * [backup-simplify]: Simplify re into re
6.984 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.984 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
6.984 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.984 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.984 * [backup-simplify]: Simplify (+ 0 0) into 0
6.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.984 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.984 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.985 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.985 * [taylor]: Taking taylor expansion of im in re
6.985 * [backup-simplify]: Simplify im into im
6.985 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.985 * [taylor]: Taking taylor expansion of re in re
6.985 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify 1 into 1
6.985 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.985 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.985 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.985 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.985 * [backup-simplify]: Simplify (+ 0 0) into 0
6.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.985 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
6.985 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
6.985 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.985 * [taylor]: Taking taylor expansion of im in re
6.985 * [backup-simplify]: Simplify im into im
6.985 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.985 * [taylor]: Taking taylor expansion of re in re
6.985 * [backup-simplify]: Simplify 0 into 0
6.985 * [backup-simplify]: Simplify 1 into 1
6.985 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.985 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
6.985 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.986 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.986 * [backup-simplify]: Simplify (+ 0 0) into 0
6.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
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
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [taylor]: Taking taylor expansion of 0 in im
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify 0 into 0
6.986 * [backup-simplify]: Simplify 1 into 1
6.986 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.987 * [backup-simplify]: Simplify (* 1 1) into 1
6.987 * [backup-simplify]: Simplify (+ 0 1) into 1
6.987 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.987 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.987 * [taylor]: Taking taylor expansion of 1/2 in im
6.987 * [backup-simplify]: Simplify 1/2 into 1/2
6.987 * [taylor]: Taking taylor expansion of im in im
6.987 * [backup-simplify]: Simplify 0 into 0
6.987 * [backup-simplify]: Simplify 1 into 1
6.988 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
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
6.989 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.989 * [backup-simplify]: Simplify (+ 0 0) into 0
6.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 0 into 0
6.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify 0 into 0
6.990 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.991 * [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))))
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
6.991 * [taylor]: Taking taylor expansion of im in im
6.991 * [backup-simplify]: Simplify 0 into 0
6.991 * [backup-simplify]: Simplify 1 into 1
6.991 * [backup-simplify]: Simplify (* 1 1) into 1
6.991 * [backup-simplify]: Simplify (/ 1 1) into 1
6.992 * [backup-simplify]: Simplify (+ 0 1) into 1
6.992 * [backup-simplify]: Simplify (sqrt 1) into 1
6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.993 * [backup-simplify]: Simplify (+ 0 0) into 0
6.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.993 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.993 * [taylor]: Taking taylor expansion of re in re
6.993 * [backup-simplify]: Simplify 0 into 0
6.993 * [backup-simplify]: Simplify 1 into 1
6.994 * [backup-simplify]: Simplify (* 1 1) into 1
6.994 * [backup-simplify]: Simplify (/ 1 1) into 1
6.994 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
6.994 * [taylor]: Taking taylor expansion of (pow im 2) in re
6.994 * [taylor]: Taking taylor expansion of im in re
6.994 * [backup-simplify]: Simplify im into im
6.994 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.994 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.994 * [backup-simplify]: Simplify (+ 1 0) into 1
6.995 * [backup-simplify]: Simplify (sqrt 1) into 1
6.995 * [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
6.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
6.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
6.996 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
6.996 * [taylor]: Taking taylor expansion of (pow re 2) in re
6.996 * [taylor]: Taking taylor expansion of re in re
6.996 * [backup-simplify]: Simplify 0 into 0
6.996 * [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
6.997 * [backup-simplify]: Simplify im into im
6.997 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.997 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
6.997 * [backup-simplify]: Simplify (+ 1 0) into 1
6.998 * [backup-simplify]: Simplify (sqrt 1) into 1
6.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.999 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.999 * [taylor]: Taking taylor expansion of 1 in im
6.999 * [backup-simplify]: Simplify 1 into 1
6.999 * [taylor]: Taking taylor expansion of 0 in im
6.999 * [backup-simplify]: Simplify 0 into 0
6.999 * [backup-simplify]: Simplify 1 into 1
7.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.000 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.001 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.001 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.001 * [taylor]: Taking taylor expansion of 1/2 in im
7.001 * [backup-simplify]: Simplify 1/2 into 1/2
7.001 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.001 * [taylor]: Taking taylor expansion of im in im
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 1 into 1
7.002 * [backup-simplify]: Simplify (* 1 1) into 1
7.002 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify 0 into 0
7.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.004 * [backup-simplify]: Simplify (+ 0 0) into 0
7.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.005 * [taylor]: Taking taylor expansion of 0 in im
7.005 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify 0 into 0
7.006 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.006 * [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))))
7.006 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
7.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
7.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
7.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
7.006 * [taylor]: Taking taylor expansion of (pow re 2) in im
7.007 * [taylor]: Taking taylor expansion of re in im
7.007 * [backup-simplify]: Simplify re into re
7.007 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.007 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
7.007 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
7.007 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.007 * [taylor]: Taking taylor expansion of im in im
7.007 * [backup-simplify]: Simplify 0 into 0
7.007 * [backup-simplify]: Simplify 1 into 1
7.010 * [backup-simplify]: Simplify (* 1 1) into 1
7.010 * [backup-simplify]: Simplify (/ 1 1) into 1
7.011 * [backup-simplify]: Simplify (+ 0 1) into 1
7.011 * [backup-simplify]: Simplify (sqrt 1) into 1
7.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.012 * [backup-simplify]: Simplify (+ 0 0) into 0
7.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.012 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
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
7.013 * [backup-simplify]: Simplify (* 1 1) into 1
7.013 * [backup-simplify]: Simplify (/ 1 1) into 1
7.013 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.013 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.013 * [taylor]: Taking taylor expansion of im in re
7.013 * [backup-simplify]: Simplify im into im
7.013 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.013 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.013 * [backup-simplify]: Simplify (+ 1 0) into 1
7.014 * [backup-simplify]: Simplify (sqrt 1) into 1
7.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.015 * [backup-simplify]: Simplify (+ 0 0) into 0
7.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
7.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
7.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
7.015 * [taylor]: Taking taylor expansion of (pow re 2) in re
7.015 * [taylor]: Taking taylor expansion of re in re
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.016 * [backup-simplify]: Simplify (* 1 1) into 1
7.016 * [backup-simplify]: Simplify (/ 1 1) into 1
7.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
7.016 * [taylor]: Taking taylor expansion of (pow im 2) in re
7.016 * [taylor]: Taking taylor expansion of im in re
7.016 * [backup-simplify]: Simplify im into im
7.016 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.016 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
7.016 * [backup-simplify]: Simplify (+ 1 0) into 1
7.016 * [backup-simplify]: Simplify (sqrt 1) into 1
7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.018 * [backup-simplify]: Simplify (+ 0 0) into 0
7.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.018 * [taylor]: Taking taylor expansion of 1 in im
7.018 * [backup-simplify]: Simplify 1 into 1
7.018 * [taylor]: Taking taylor expansion of 0 in im
7.018 * [backup-simplify]: Simplify 0 into 0
7.018 * [backup-simplify]: Simplify 1 into 1
7.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.019 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.020 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.020 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.020 * [taylor]: Taking taylor expansion of 1/2 in im
7.020 * [backup-simplify]: Simplify 1/2 into 1/2
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 (/ 1/2 1) into 1/2
7.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.024 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
7.025 * [backup-simplify]: Simplify (+ 0 0) into 0
7.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.025 * [taylor]: Taking taylor expansion of 0 in im
7.025 * [backup-simplify]: Simplify 0 into 0
7.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.027 * * * [progress]: simplifying candidates
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.028 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.029 * * * * [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)))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))))>
7.030 * * * * [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)))))>
7.030 * * * * [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)))))))>
7.030 * * * * [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)))))))>
7.030 * * * * [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)))))))>
7.030 * * * * [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)))))))>
7.030 * * * * [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)))))))>
7.031 * * * * [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))))))))>
7.031 * * * * [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))))))>
7.031 * * * * [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))))))>
7.031 * * * * [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)))))))>
7.031 * * * * [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))))))))))>
7.031 * * * * [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)))))>
7.031 * * * * [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)))))>
7.031 * * * * [progress]: [ 47 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
7.031 * * * * [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)))))>
7.031 * * * * [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)))))>
7.031 * * * * [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)))))>
7.031 * * * * [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)))))>
7.031 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [progress]: [ 59 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re)))))>
7.032 * * * * [progress]: [ 60 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.032 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [progress]: [ 70 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.033 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.034 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [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)))))>
7.035 * * * * [progress]: [ 100 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 1/2)) re)))))>
7.035 * * * * [progress]: [ 101 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* 2 1)) re)))))>
7.035 * * * * [progress]: [ 102 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ 1/2 2))) re)))))>
7.035 * * * * [progress]: [ 103 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) (* 2 (/ 1 2))) re)))))>
7.036 * * * * [progress]: [ 104 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (* 2 (/ (/ 1 2) 2))) re)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.036 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.037 * * * * [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)))))>
7.038 * * * * [progress]: [ 129 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt im)) re)))))>
7.038 * * * * [progress]: [ 130 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) re)))))>
7.038 * * * * [progress]: [ 131 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* -1 re))) re)))))>
7.038 * * * * [progress]: [ 132 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt im) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.038 * * * * [progress]: [ 133 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.038 * * * * [progress]: [ 134 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (* -1 re)) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
7.038 * * * * [progress]: [ 135 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
7.038 * * * * [progress]: [ 136 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
7.038 * * * * [progress]: [ 137 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
7.038 * * * * [progress]: [ 138 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
7.038 * * * * [progress]: [ 139 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
7.038 * * * * [progress]: [ 140 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
7.041 * [simplify]: Simplifying:
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  (* (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)
  (* (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))))))
  (* (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 (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))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 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)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (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 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)
7.046 * * [simplify]: iteration 1: (136 enodes)
7.116 * * [simplify]: iteration 2: (295 enodes)
7.243 * * [simplify]: iteration 3: (686 enodes)
7.535 * * [simplify]: iteration 4: (1660 enodes)
9.341 * * [simplify]: Extracting #0: cost 48 inf + 0
9.342 * * [simplify]: Extracting #1: cost 334 inf + 47
9.348 * * [simplify]: Extracting #2: cost 798 inf + 1669
9.367 * * [simplify]: Extracting #3: cost 1032 inf + 19245
9.415 * * [simplify]: Extracting #4: cost 685 inf + 142287
9.530 * * [simplify]: Extracting #5: cost 91 inf + 383798
9.662 * * [simplify]: Extracting #6: cost 0 inf + 424848
9.794 * [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) (* 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 (+ (* 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) (* 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 (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (exp (+ (sqrt (+ (* re re) (* im im))) 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))
  (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))))
  (- (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re))
  (* im im)
  (- (sqrt (+ (* re re) (* im im))) re)
  (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* re re) (* im im))
  (sqrt (+ (* re re) (* im im)))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  (+ (* re re) (* im im))
  (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))
  2
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (sqrt (+ (* re re) (* im im))) (+ (* 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)))
  (+ (* re re) (* im im))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (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) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))))))
  (* (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (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)))
  (* (cbrt (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 (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (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))))
  (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))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  2
  1/2
  1
  1/2
  (* (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)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))))
  (* (sqrt (fabs (cbrt (+ (* 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 (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))))
  (* (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 (+ (* 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 (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))
  (sqrt (+ (* re re) (* im im)))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))))))
  (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (- (* re re) (* im im)) (+ (* re re) (* im im))))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
  im
  re
  (- re)
9.814 * * * [progress]: adding candidates to table
11.384 * * [progress]: iteration 4 / 4
11.384 * * * [progress]: picking best candidate
11.401 * * * * [pick]: Picked  #<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)))))>
11.401 * * * [progress]: localizing error
11.452 * * * [progress]: generating rewritten candidates
11.452 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1)
11.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1)
11.465 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1)
11.473 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2)
11.587 * * * [progress]: generating series expansions
11.587 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1)
11.587 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.587 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.587 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.587 * [taylor]: Taking taylor expansion of im in im
11.587 * [backup-simplify]: Simplify 0 into 0
11.587 * [backup-simplify]: Simplify 1 into 1
11.587 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.587 * [taylor]: Taking taylor expansion of re in im
11.587 * [backup-simplify]: Simplify re into re
11.587 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.587 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.587 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.588 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.588 * [backup-simplify]: Simplify (+ 0 0) into 0
11.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.588 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.589 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.589 * [taylor]: Taking taylor expansion of im in re
11.589 * [backup-simplify]: Simplify im into im
11.589 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.589 * [taylor]: Taking taylor expansion of re in re
11.589 * [backup-simplify]: Simplify 0 into 0
11.589 * [backup-simplify]: Simplify 1 into 1
11.589 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.589 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.589 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.589 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.589 * [backup-simplify]: Simplify (+ 0 0) into 0
11.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.590 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.590 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.590 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.590 * [taylor]: Taking taylor expansion of im in re
11.590 * [backup-simplify]: Simplify im into im
11.590 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.590 * [taylor]: Taking taylor expansion of re in re
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 1 into 1
11.590 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.590 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.590 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.590 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.590 * [backup-simplify]: Simplify (+ 0 0) into 0
11.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.591 * [taylor]: Taking taylor expansion of im in im
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [backup-simplify]: Simplify 1 into 1
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [taylor]: Taking taylor expansion of 0 in im
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [backup-simplify]: Simplify 0 into 0
11.591 * [backup-simplify]: Simplify 1 into 1
11.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.592 * [backup-simplify]: Simplify (* 1 1) into 1
11.592 * [backup-simplify]: Simplify (+ 0 1) into 1
11.593 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.593 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.593 * [taylor]: Taking taylor expansion of 1/2 in im
11.593 * [backup-simplify]: Simplify 1/2 into 1/2
11.593 * [taylor]: Taking taylor expansion of im in im
11.593 * [backup-simplify]: Simplify 0 into 0
11.593 * [backup-simplify]: Simplify 1 into 1
11.594 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.594 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify 0 into 0
11.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.596 * [backup-simplify]: Simplify (+ 0 0) into 0
11.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.596 * [taylor]: Taking taylor expansion of 0 in im
11.596 * [backup-simplify]: Simplify 0 into 0
11.596 * [backup-simplify]: Simplify 0 into 0
11.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.597 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.598 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.598 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.598 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.598 * [taylor]: Taking taylor expansion of re in im
11.598 * [backup-simplify]: Simplify re into re
11.598 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.598 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.598 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.598 * [taylor]: Taking taylor expansion of im in im
11.598 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify 1 into 1
11.599 * [backup-simplify]: Simplify (* 1 1) into 1
11.600 * [backup-simplify]: Simplify (/ 1 1) into 1
11.600 * [backup-simplify]: Simplify (+ 0 1) into 1
11.601 * [backup-simplify]: Simplify (sqrt 1) into 1
11.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.603 * [backup-simplify]: Simplify (+ 0 0) into 0
11.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.603 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.604 * [taylor]: Taking taylor expansion of re in re
11.604 * [backup-simplify]: Simplify 0 into 0
11.604 * [backup-simplify]: Simplify 1 into 1
11.604 * [backup-simplify]: Simplify (* 1 1) into 1
11.604 * [backup-simplify]: Simplify (/ 1 1) into 1
11.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.604 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.604 * [taylor]: Taking taylor expansion of im in re
11.604 * [backup-simplify]: Simplify im into im
11.604 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.605 * [backup-simplify]: Simplify (+ 1 0) into 1
11.605 * [backup-simplify]: Simplify (sqrt 1) into 1
11.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.607 * [backup-simplify]: Simplify (+ 0 0) into 0
11.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.608 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.608 * [taylor]: Taking taylor expansion of re in re
11.608 * [backup-simplify]: Simplify 0 into 0
11.608 * [backup-simplify]: Simplify 1 into 1
11.608 * [backup-simplify]: Simplify (* 1 1) into 1
11.609 * [backup-simplify]: Simplify (/ 1 1) into 1
11.609 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.609 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.609 * [taylor]: Taking taylor expansion of im in re
11.609 * [backup-simplify]: Simplify im into im
11.609 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.609 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.610 * [backup-simplify]: Simplify (+ 1 0) into 1
11.610 * [backup-simplify]: Simplify (sqrt 1) into 1
11.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.612 * [backup-simplify]: Simplify (+ 0 0) into 0
11.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.612 * [taylor]: Taking taylor expansion of 1 in im
11.612 * [backup-simplify]: Simplify 1 into 1
11.612 * [taylor]: Taking taylor expansion of 0 in im
11.612 * [backup-simplify]: Simplify 0 into 0
11.613 * [backup-simplify]: Simplify 1 into 1
11.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.614 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.616 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.616 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.616 * [taylor]: Taking taylor expansion of 1/2 in im
11.616 * [backup-simplify]: Simplify 1/2 into 1/2
11.616 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.616 * [taylor]: Taking taylor expansion of im in im
11.616 * [backup-simplify]: Simplify 0 into 0
11.616 * [backup-simplify]: Simplify 1 into 1
11.616 * [backup-simplify]: Simplify (* 1 1) into 1
11.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.618 * [backup-simplify]: Simplify 0 into 0
11.618 * [backup-simplify]: Simplify 0 into 0
11.618 * [backup-simplify]: Simplify 0 into 0
11.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.621 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.621 * [backup-simplify]: Simplify (+ 0 0) into 0
11.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.622 * [taylor]: Taking taylor expansion of 0 in im
11.622 * [backup-simplify]: Simplify 0 into 0
11.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.624 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.624 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.624 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.624 * [taylor]: Taking taylor expansion of re in im
11.624 * [backup-simplify]: Simplify re into re
11.624 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.624 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.624 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.624 * [taylor]: Taking taylor expansion of im in im
11.625 * [backup-simplify]: Simplify 0 into 0
11.625 * [backup-simplify]: Simplify 1 into 1
11.625 * [backup-simplify]: Simplify (* 1 1) into 1
11.625 * [backup-simplify]: Simplify (/ 1 1) into 1
11.626 * [backup-simplify]: Simplify (+ 0 1) into 1
11.626 * [backup-simplify]: Simplify (sqrt 1) into 1
11.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.631 * [backup-simplify]: Simplify (+ 0 0) into 0
11.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.632 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.632 * [taylor]: Taking taylor expansion of re in re
11.632 * [backup-simplify]: Simplify 0 into 0
11.632 * [backup-simplify]: Simplify 1 into 1
11.633 * [backup-simplify]: Simplify (* 1 1) into 1
11.633 * [backup-simplify]: Simplify (/ 1 1) into 1
11.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.633 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.633 * [taylor]: Taking taylor expansion of im in re
11.633 * [backup-simplify]: Simplify im into im
11.633 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.634 * [backup-simplify]: Simplify (+ 1 0) into 1
11.634 * [backup-simplify]: Simplify (sqrt 1) into 1
11.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.636 * [backup-simplify]: Simplify (+ 0 0) into 0
11.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.637 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.637 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.637 * [taylor]: Taking taylor expansion of re in re
11.637 * [backup-simplify]: Simplify 0 into 0
11.637 * [backup-simplify]: Simplify 1 into 1
11.638 * [backup-simplify]: Simplify (* 1 1) into 1
11.638 * [backup-simplify]: Simplify (/ 1 1) into 1
11.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.638 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.638 * [taylor]: Taking taylor expansion of im in re
11.638 * [backup-simplify]: Simplify im into im
11.638 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.638 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.639 * [backup-simplify]: Simplify (+ 1 0) into 1
11.639 * [backup-simplify]: Simplify (sqrt 1) into 1
11.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.641 * [backup-simplify]: Simplify (+ 0 0) into 0
11.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.642 * [taylor]: Taking taylor expansion of 1 in im
11.642 * [backup-simplify]: Simplify 1 into 1
11.642 * [taylor]: Taking taylor expansion of 0 in im
11.642 * [backup-simplify]: Simplify 0 into 0
11.642 * [backup-simplify]: Simplify 1 into 1
11.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.644 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.645 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.645 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.646 * [taylor]: Taking taylor expansion of 1/2 in im
11.646 * [backup-simplify]: Simplify 1/2 into 1/2
11.646 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.646 * [taylor]: Taking taylor expansion of im in im
11.646 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify 1 into 1
11.646 * [backup-simplify]: Simplify (* 1 1) into 1
11.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.648 * [backup-simplify]: Simplify 0 into 0
11.648 * [backup-simplify]: Simplify 0 into 0
11.648 * [backup-simplify]: Simplify 0 into 0
11.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.651 * [backup-simplify]: Simplify (+ 0 0) into 0
11.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.652 * [taylor]: Taking taylor expansion of 0 in im
11.652 * [backup-simplify]: Simplify 0 into 0
11.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1)
11.655 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.655 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.655 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.655 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.655 * [taylor]: Taking taylor expansion of im in im
11.655 * [backup-simplify]: Simplify 0 into 0
11.655 * [backup-simplify]: Simplify 1 into 1
11.655 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.655 * [taylor]: Taking taylor expansion of re in im
11.655 * [backup-simplify]: Simplify re into re
11.655 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.655 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.655 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.655 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.656 * [backup-simplify]: Simplify (+ 0 0) into 0
11.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.656 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.656 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.656 * [taylor]: Taking taylor expansion of im in re
11.656 * [backup-simplify]: Simplify im into im
11.656 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.656 * [taylor]: Taking taylor expansion of re in re
11.656 * [backup-simplify]: Simplify 0 into 0
11.656 * [backup-simplify]: Simplify 1 into 1
11.656 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.656 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.656 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.657 * [backup-simplify]: Simplify (+ 0 0) into 0
11.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.657 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.657 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.657 * [taylor]: Taking taylor expansion of im in re
11.657 * [backup-simplify]: Simplify im into im
11.657 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.657 * [taylor]: Taking taylor expansion of re in re
11.657 * [backup-simplify]: Simplify 0 into 0
11.657 * [backup-simplify]: Simplify 1 into 1
11.657 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.657 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.657 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.657 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.658 * [backup-simplify]: Simplify (+ 0 0) into 0
11.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.658 * [taylor]: Taking taylor expansion of im in im
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify 1 into 1
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [taylor]: Taking taylor expansion of 0 in im
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify 1 into 1
11.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.659 * [backup-simplify]: Simplify (* 1 1) into 1
11.660 * [backup-simplify]: Simplify (+ 0 1) into 1
11.660 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.660 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.660 * [taylor]: Taking taylor expansion of 1/2 in im
11.660 * [backup-simplify]: Simplify 1/2 into 1/2
11.660 * [taylor]: Taking taylor expansion of im in im
11.660 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify 1 into 1
11.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.664 * [backup-simplify]: Simplify (+ 0 0) into 0
11.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.664 * [taylor]: Taking taylor expansion of 0 in im
11.664 * [backup-simplify]: Simplify 0 into 0
11.664 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.665 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.666 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.666 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.666 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.666 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.666 * [taylor]: Taking taylor expansion of re in im
11.666 * [backup-simplify]: Simplify re into re
11.666 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.666 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.666 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.666 * [taylor]: Taking taylor expansion of im in im
11.666 * [backup-simplify]: Simplify 0 into 0
11.666 * [backup-simplify]: Simplify 1 into 1
11.666 * [backup-simplify]: Simplify (* 1 1) into 1
11.666 * [backup-simplify]: Simplify (/ 1 1) into 1
11.667 * [backup-simplify]: Simplify (+ 0 1) into 1
11.667 * [backup-simplify]: Simplify (sqrt 1) into 1
11.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.668 * [backup-simplify]: Simplify (+ 0 0) into 0
11.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.669 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.669 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.669 * [taylor]: Taking taylor expansion of re in re
11.669 * [backup-simplify]: Simplify 0 into 0
11.669 * [backup-simplify]: Simplify 1 into 1
11.669 * [backup-simplify]: Simplify (* 1 1) into 1
11.669 * [backup-simplify]: Simplify (/ 1 1) into 1
11.669 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.669 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.669 * [taylor]: Taking taylor expansion of im in re
11.669 * [backup-simplify]: Simplify im into im
11.669 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.669 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.669 * [backup-simplify]: Simplify (+ 1 0) into 1
11.670 * [backup-simplify]: Simplify (sqrt 1) into 1
11.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.671 * [backup-simplify]: Simplify (+ 0 0) into 0
11.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.671 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.671 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.671 * [taylor]: Taking taylor expansion of re in re
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 1 into 1
11.672 * [backup-simplify]: Simplify (* 1 1) into 1
11.672 * [backup-simplify]: Simplify (/ 1 1) into 1
11.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.672 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.672 * [taylor]: Taking taylor expansion of im in re
11.672 * [backup-simplify]: Simplify im into im
11.672 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.672 * [backup-simplify]: Simplify (+ 1 0) into 1
11.673 * [backup-simplify]: Simplify (sqrt 1) into 1
11.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.674 * [backup-simplify]: Simplify (+ 0 0) into 0
11.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.674 * [taylor]: Taking taylor expansion of 1 in im
11.674 * [backup-simplify]: Simplify 1 into 1
11.674 * [taylor]: Taking taylor expansion of 0 in im
11.674 * [backup-simplify]: Simplify 0 into 0
11.674 * [backup-simplify]: Simplify 1 into 1
11.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.675 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.676 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.676 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.676 * [taylor]: Taking taylor expansion of 1/2 in im
11.676 * [backup-simplify]: Simplify 1/2 into 1/2
11.676 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.676 * [taylor]: Taking taylor expansion of im in im
11.676 * [backup-simplify]: Simplify 0 into 0
11.676 * [backup-simplify]: Simplify 1 into 1
11.676 * [backup-simplify]: Simplify (* 1 1) into 1
11.677 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.679 * [backup-simplify]: Simplify (+ 0 0) into 0
11.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.680 * [taylor]: Taking taylor expansion of 0 in im
11.680 * [backup-simplify]: Simplify 0 into 0
11.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.681 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.681 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.681 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.681 * [taylor]: Taking taylor expansion of re in im
11.681 * [backup-simplify]: Simplify re into re
11.681 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.681 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.681 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.681 * [taylor]: Taking taylor expansion of im in im
11.681 * [backup-simplify]: Simplify 0 into 0
11.681 * [backup-simplify]: Simplify 1 into 1
11.682 * [backup-simplify]: Simplify (* 1 1) into 1
11.682 * [backup-simplify]: Simplify (/ 1 1) into 1
11.682 * [backup-simplify]: Simplify (+ 0 1) into 1
11.682 * [backup-simplify]: Simplify (sqrt 1) into 1
11.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.683 * [backup-simplify]: Simplify (+ 0 0) into 0
11.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.684 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.684 * [taylor]: Taking taylor expansion of re in re
11.684 * [backup-simplify]: Simplify 0 into 0
11.684 * [backup-simplify]: Simplify 1 into 1
11.684 * [backup-simplify]: Simplify (* 1 1) into 1
11.684 * [backup-simplify]: Simplify (/ 1 1) into 1
11.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.685 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.685 * [taylor]: Taking taylor expansion of im in re
11.685 * [backup-simplify]: Simplify im into im
11.685 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.685 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.685 * [backup-simplify]: Simplify (+ 1 0) into 1
11.685 * [backup-simplify]: Simplify (sqrt 1) into 1
11.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.686 * [backup-simplify]: Simplify (+ 0 0) into 0
11.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.687 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.687 * [taylor]: Taking taylor expansion of re in re
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify 1 into 1
11.687 * [backup-simplify]: Simplify (* 1 1) into 1
11.687 * [backup-simplify]: Simplify (/ 1 1) into 1
11.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.687 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.687 * [taylor]: Taking taylor expansion of im in re
11.687 * [backup-simplify]: Simplify im into im
11.687 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.687 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.688 * [backup-simplify]: Simplify (+ 1 0) into 1
11.688 * [backup-simplify]: Simplify (sqrt 1) into 1
11.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.689 * [backup-simplify]: Simplify (+ 0 0) into 0
11.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.690 * [taylor]: Taking taylor expansion of 1 in im
11.690 * [backup-simplify]: Simplify 1 into 1
11.690 * [taylor]: Taking taylor expansion of 0 in im
11.690 * [backup-simplify]: Simplify 0 into 0
11.690 * [backup-simplify]: Simplify 1 into 1
11.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.692 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.693 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.693 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.693 * [taylor]: Taking taylor expansion of 1/2 in im
11.693 * [backup-simplify]: Simplify 1/2 into 1/2
11.693 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.693 * [taylor]: Taking taylor expansion of im in im
11.693 * [backup-simplify]: Simplify 0 into 0
11.693 * [backup-simplify]: Simplify 1 into 1
11.693 * [backup-simplify]: Simplify (* 1 1) into 1
11.694 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.695 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify 0 into 0
11.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.698 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.698 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.698 * [backup-simplify]: Simplify (+ 0 0) into 0
11.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.699 * [taylor]: Taking taylor expansion of 0 in im
11.699 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.701 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1)
11.702 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
11.702 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
11.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.702 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.702 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.702 * [taylor]: Taking taylor expansion of im in im
11.702 * [backup-simplify]: Simplify 0 into 0
11.702 * [backup-simplify]: Simplify 1 into 1
11.702 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.702 * [taylor]: Taking taylor expansion of re in im
11.702 * [backup-simplify]: Simplify re into re
11.702 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.702 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.702 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.702 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.703 * [backup-simplify]: Simplify (+ 0 0) into 0
11.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.703 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.703 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.703 * [taylor]: Taking taylor expansion of im in re
11.703 * [backup-simplify]: Simplify im into im
11.703 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.703 * [taylor]: Taking taylor expansion of re in re
11.703 * [backup-simplify]: Simplify 0 into 0
11.703 * [backup-simplify]: Simplify 1 into 1
11.703 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.703 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.704 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.704 * [backup-simplify]: Simplify (+ 0 0) into 0
11.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.704 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.704 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.705 * [taylor]: Taking taylor expansion of im in re
11.705 * [backup-simplify]: Simplify im into im
11.705 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.705 * [taylor]: Taking taylor expansion of re in re
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 1 into 1
11.705 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.705 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.705 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.705 * [backup-simplify]: Simplify (+ 0 0) into 0
11.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.706 * [taylor]: Taking taylor expansion of im in im
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify 1 into 1
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [taylor]: Taking taylor expansion of 0 in im
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify 1 into 1
11.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.707 * [backup-simplify]: Simplify (* 1 1) into 1
11.707 * [backup-simplify]: Simplify (+ 0 1) into 1
11.708 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.708 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
11.708 * [taylor]: Taking taylor expansion of 1/2 in im
11.708 * [backup-simplify]: Simplify 1/2 into 1/2
11.708 * [taylor]: Taking taylor expansion of im in im
11.708 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify 1 into 1
11.709 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.709 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify 0 into 0
11.710 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.711 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.712 * [taylor]: Taking taylor expansion of 0 in im
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
11.713 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.713 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.713 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.713 * [taylor]: Taking taylor expansion of re in im
11.713 * [backup-simplify]: Simplify re into re
11.713 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.713 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.714 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.714 * [taylor]: Taking taylor expansion of im in im
11.714 * [backup-simplify]: Simplify 0 into 0
11.714 * [backup-simplify]: Simplify 1 into 1
11.714 * [backup-simplify]: Simplify (* 1 1) into 1
11.714 * [backup-simplify]: Simplify (/ 1 1) into 1
11.715 * [backup-simplify]: Simplify (+ 0 1) into 1
11.715 * [backup-simplify]: Simplify (sqrt 1) into 1
11.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.717 * [backup-simplify]: Simplify (+ 0 0) into 0
11.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.718 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.718 * [taylor]: Taking taylor expansion of re in re
11.718 * [backup-simplify]: Simplify 0 into 0
11.718 * [backup-simplify]: Simplify 1 into 1
11.719 * [backup-simplify]: Simplify (* 1 1) into 1
11.719 * [backup-simplify]: Simplify (/ 1 1) into 1
11.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.719 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.719 * [taylor]: Taking taylor expansion of im in re
11.719 * [backup-simplify]: Simplify im into im
11.719 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.719 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.720 * [backup-simplify]: Simplify (+ 1 0) into 1
11.720 * [backup-simplify]: Simplify (sqrt 1) into 1
11.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.722 * [backup-simplify]: Simplify (+ 0 0) into 0
11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.723 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.723 * [taylor]: Taking taylor expansion of re in re
11.723 * [backup-simplify]: Simplify 0 into 0
11.723 * [backup-simplify]: Simplify 1 into 1
11.723 * [backup-simplify]: Simplify (* 1 1) into 1
11.724 * [backup-simplify]: Simplify (/ 1 1) into 1
11.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.724 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.724 * [taylor]: Taking taylor expansion of im in re
11.724 * [backup-simplify]: Simplify im into im
11.724 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.724 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.725 * [backup-simplify]: Simplify (+ 1 0) into 1
11.725 * [backup-simplify]: Simplify (sqrt 1) into 1
11.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.727 * [backup-simplify]: Simplify (+ 0 0) into 0
11.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.728 * [taylor]: Taking taylor expansion of 1 in im
11.728 * [backup-simplify]: Simplify 1 into 1
11.728 * [taylor]: Taking taylor expansion of 0 in im
11.728 * [backup-simplify]: Simplify 0 into 0
11.728 * [backup-simplify]: Simplify 1 into 1
11.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.730 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.731 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.731 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.731 * [taylor]: Taking taylor expansion of 1/2 in im
11.731 * [backup-simplify]: Simplify 1/2 into 1/2
11.731 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.731 * [taylor]: Taking taylor expansion of im in im
11.731 * [backup-simplify]: Simplify 0 into 0
11.731 * [backup-simplify]: Simplify 1 into 1
11.732 * [backup-simplify]: Simplify (* 1 1) into 1
11.732 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.734 * [backup-simplify]: Simplify 0 into 0
11.734 * [backup-simplify]: Simplify 0 into 0
11.734 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.736 * [backup-simplify]: Simplify (+ 0 0) into 0
11.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.737 * [taylor]: Taking taylor expansion of 0 in im
11.737 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.739 * [backup-simplify]: Simplify 0 into 0
11.739 * [backup-simplify]: Simplify 0 into 0
11.739 * [backup-simplify]: Simplify 0 into 0
11.739 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
11.740 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
11.740 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
11.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.740 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.740 * [taylor]: Taking taylor expansion of re in im
11.740 * [backup-simplify]: Simplify re into re
11.740 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.740 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.740 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.740 * [taylor]: Taking taylor expansion of im in im
11.740 * [backup-simplify]: Simplify 0 into 0
11.740 * [backup-simplify]: Simplify 1 into 1
11.741 * [backup-simplify]: Simplify (* 1 1) into 1
11.741 * [backup-simplify]: Simplify (/ 1 1) into 1
11.741 * [backup-simplify]: Simplify (+ 0 1) into 1
11.742 * [backup-simplify]: Simplify (sqrt 1) into 1
11.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.744 * [backup-simplify]: Simplify (+ 0 0) into 0
11.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.744 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.744 * [taylor]: Taking taylor expansion of re in re
11.744 * [backup-simplify]: Simplify 0 into 0
11.744 * [backup-simplify]: Simplify 1 into 1
11.745 * [backup-simplify]: Simplify (* 1 1) into 1
11.745 * [backup-simplify]: Simplify (/ 1 1) into 1
11.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.745 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.745 * [taylor]: Taking taylor expansion of im in re
11.745 * [backup-simplify]: Simplify im into im
11.745 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.745 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.746 * [backup-simplify]: Simplify (+ 1 0) into 1
11.746 * [backup-simplify]: Simplify (sqrt 1) into 1
11.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.748 * [backup-simplify]: Simplify (+ 0 0) into 0
11.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.749 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.749 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.749 * [taylor]: Taking taylor expansion of re in re
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify 1 into 1
11.749 * [backup-simplify]: Simplify (* 1 1) into 1
11.750 * [backup-simplify]: Simplify (/ 1 1) into 1
11.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.750 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.750 * [taylor]: Taking taylor expansion of im in re
11.750 * [backup-simplify]: Simplify im into im
11.750 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.750 * [backup-simplify]: Simplify (+ 1 0) into 1
11.751 * [backup-simplify]: Simplify (sqrt 1) into 1
11.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.753 * [backup-simplify]: Simplify (+ 0 0) into 0
11.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.753 * [taylor]: Taking taylor expansion of 1 in im
11.754 * [backup-simplify]: Simplify 1 into 1
11.754 * [taylor]: Taking taylor expansion of 0 in im
11.754 * [backup-simplify]: Simplify 0 into 0
11.754 * [backup-simplify]: Simplify 1 into 1
11.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.757 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.757 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
11.757 * [taylor]: Taking taylor expansion of 1/2 in im
11.757 * [backup-simplify]: Simplify 1/2 into 1/2
11.757 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.757 * [taylor]: Taking taylor expansion of im in im
11.757 * [backup-simplify]: Simplify 0 into 0
11.757 * [backup-simplify]: Simplify 1 into 1
11.758 * [backup-simplify]: Simplify (* 1 1) into 1
11.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.760 * [backup-simplify]: Simplify 0 into 0
11.760 * [backup-simplify]: Simplify 0 into 0
11.760 * [backup-simplify]: Simplify 0 into 0
11.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.762 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.766 * [backup-simplify]: Simplify (+ 0 0) into 0
11.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.767 * [taylor]: Taking taylor expansion of 0 in im
11.767 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.768 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
11.769 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2)
11.769 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
11.769 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
11.769 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
11.769 * [taylor]: Taking taylor expansion of re in im
11.769 * [backup-simplify]: Simplify re into re
11.769 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
11.769 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
11.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.769 * [taylor]: Taking taylor expansion of im in im
11.769 * [backup-simplify]: Simplify 0 into 0
11.769 * [backup-simplify]: Simplify 1 into 1
11.769 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.769 * [taylor]: Taking taylor expansion of re in im
11.769 * [backup-simplify]: Simplify re into re
11.769 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.769 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
11.769 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
11.769 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
11.770 * [backup-simplify]: Simplify (+ 0 0) into 0
11.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
11.770 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
11.770 * [taylor]: Taking taylor expansion of re in re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 1 into 1
11.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.770 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.770 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.770 * [taylor]: Taking taylor expansion of im in re
11.770 * [backup-simplify]: Simplify im into im
11.770 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.770 * [taylor]: Taking taylor expansion of re in re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 1 into 1
11.770 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.770 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.770 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.770 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.770 * [backup-simplify]: Simplify (+ 0 0) into 0
11.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.770 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
11.770 * [taylor]: Taking taylor expansion of re in re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 1 into 1
11.770 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
11.770 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
11.770 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.770 * [taylor]: Taking taylor expansion of im in re
11.770 * [backup-simplify]: Simplify im into im
11.771 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.771 * [taylor]: Taking taylor expansion of re in re
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 1 into 1
11.771 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.771 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
11.771 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
11.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.771 * [backup-simplify]: Simplify (+ 0 0) into 0
11.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
11.771 * [backup-simplify]: Simplify (+ 0 im) into im
11.771 * [taylor]: Taking taylor expansion of im in im
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify 1 into 1
11.771 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify (+ 1 0) into 1
11.771 * [taylor]: Taking taylor expansion of 1 in im
11.772 * [backup-simplify]: Simplify 1 into 1
11.772 * [backup-simplify]: Simplify 1 into 1
11.772 * [backup-simplify]: Simplify 1 into 1
11.772 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
11.772 * [backup-simplify]: Simplify (* 1 1) into 1
11.772 * [backup-simplify]: Simplify (+ 0 1) into 1
11.773 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
11.773 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
11.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
11.773 * [taylor]: Taking taylor expansion of 1/2 in im
11.773 * [backup-simplify]: Simplify 1/2 into 1/2
11.773 * [taylor]: Taking taylor expansion of (/ 1 im) in im
11.773 * [taylor]: Taking taylor expansion of im in im
11.773 * [backup-simplify]: Simplify 0 into 0
11.773 * [backup-simplify]: Simplify 1 into 1
11.773 * [backup-simplify]: Simplify (/ 1 1) into 1
11.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 0 into 0
11.774 * [backup-simplify]: Simplify 0 into 0
11.775 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
11.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.775 * [backup-simplify]: Simplify (+ 0 0) into 0
11.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
11.776 * [backup-simplify]: Simplify (+ 0 0) into 0
11.776 * [taylor]: Taking taylor expansion of 0 in im
11.776 * [backup-simplify]: Simplify 0 into 0
11.776 * [backup-simplify]: Simplify 0 into 0
11.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.777 * [backup-simplify]: Simplify 0 into 0
11.777 * [backup-simplify]: Simplify 0 into 0
11.777 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
11.777 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))
11.777 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
11.777 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
11.777 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.778 * [taylor]: Taking taylor expansion of re in im
11.778 * [backup-simplify]: Simplify re into re
11.778 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.778 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.778 * [taylor]: Taking taylor expansion of re in im
11.778 * [backup-simplify]: Simplify re into re
11.778 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.778 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.778 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.778 * [taylor]: Taking taylor expansion of im in im
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify 1 into 1
11.778 * [backup-simplify]: Simplify (* 1 1) into 1
11.778 * [backup-simplify]: Simplify (/ 1 1) into 1
11.779 * [backup-simplify]: Simplify (+ 0 1) into 1
11.779 * [backup-simplify]: Simplify (sqrt 1) into 1
11.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.780 * [backup-simplify]: Simplify (+ 0 0) into 0
11.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.780 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
11.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.780 * [taylor]: Taking taylor expansion of re in re
11.780 * [backup-simplify]: Simplify 0 into 0
11.780 * [backup-simplify]: Simplify 1 into 1
11.781 * [backup-simplify]: Simplify (/ 1 1) into 1
11.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.781 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.781 * [taylor]: Taking taylor expansion of re in re
11.781 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify 1 into 1
11.781 * [backup-simplify]: Simplify (* 1 1) into 1
11.781 * [backup-simplify]: Simplify (/ 1 1) into 1
11.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.781 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.781 * [taylor]: Taking taylor expansion of im in re
11.781 * [backup-simplify]: Simplify im into im
11.781 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.782 * [backup-simplify]: Simplify (+ 1 0) into 1
11.782 * [backup-simplify]: Simplify (sqrt 1) into 1
11.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.783 * [backup-simplify]: Simplify (+ 0 0) into 0
11.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.783 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
11.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.783 * [taylor]: Taking taylor expansion of re in re
11.783 * [backup-simplify]: Simplify 0 into 0
11.783 * [backup-simplify]: Simplify 1 into 1
11.784 * [backup-simplify]: Simplify (/ 1 1) into 1
11.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.784 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.784 * [taylor]: Taking taylor expansion of re in re
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.784 * [backup-simplify]: Simplify (* 1 1) into 1
11.784 * [backup-simplify]: Simplify (/ 1 1) into 1
11.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.784 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.784 * [taylor]: Taking taylor expansion of im in re
11.784 * [backup-simplify]: Simplify im into im
11.784 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.784 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.785 * [backup-simplify]: Simplify (+ 1 0) into 1
11.785 * [backup-simplify]: Simplify (sqrt 1) into 1
11.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.786 * [backup-simplify]: Simplify (+ 0 0) into 0
11.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.787 * [backup-simplify]: Simplify (+ 1 1) into 2
11.787 * [taylor]: Taking taylor expansion of 2 in im
11.787 * [backup-simplify]: Simplify 2 into 2
11.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.787 * [backup-simplify]: Simplify (+ 0 0) into 0
11.787 * [taylor]: Taking taylor expansion of 0 in im
11.787 * [backup-simplify]: Simplify 0 into 0
11.787 * [backup-simplify]: Simplify 2 into 2
11.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.789 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.790 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.790 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
11.790 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.790 * [taylor]: Taking taylor expansion of 1/2 in im
11.790 * [backup-simplify]: Simplify 1/2 into 1/2
11.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.790 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.790 * [taylor]: Taking taylor expansion of im in im
11.790 * [backup-simplify]: Simplify 0 into 0
11.790 * [backup-simplify]: Simplify 1 into 1
11.790 * [backup-simplify]: Simplify (* 1 1) into 1
11.791 * [backup-simplify]: Simplify (/ 1 1) into 1
11.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.792 * [backup-simplify]: Simplify 0 into 0
11.792 * [backup-simplify]: Simplify 0 into 0
11.792 * [backup-simplify]: Simplify 0 into 0
11.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.794 * [backup-simplify]: Simplify (+ 0 0) into 0
11.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.795 * [backup-simplify]: Simplify (+ 0 0) into 0
11.795 * [taylor]: Taking taylor expansion of 0 in im
11.795 * [backup-simplify]: Simplify 0 into 0
11.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.798 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify 0 into 0
11.798 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
11.799 * [backup-simplify]: Simplify (+ (* (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))
11.799 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
11.799 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
11.799 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
11.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
11.799 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
11.799 * [taylor]: Taking taylor expansion of (pow re 2) in im
11.800 * [taylor]: Taking taylor expansion of re in im
11.800 * [backup-simplify]: Simplify re into re
11.800 * [backup-simplify]: Simplify (* re re) into (pow re 2)
11.800 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
11.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.800 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.800 * [taylor]: Taking taylor expansion of im in im
11.800 * [backup-simplify]: Simplify 0 into 0
11.800 * [backup-simplify]: Simplify 1 into 1
11.800 * [backup-simplify]: Simplify (* 1 1) into 1
11.801 * [backup-simplify]: Simplify (/ 1 1) into 1
11.801 * [backup-simplify]: Simplify (+ 0 1) into 1
11.801 * [backup-simplify]: Simplify (sqrt 1) into 1
11.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.803 * [backup-simplify]: Simplify (+ 0 0) into 0
11.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im
11.804 * [taylor]: Taking taylor expansion of re in im
11.804 * [backup-simplify]: Simplify re into re
11.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
11.804 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
11.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.804 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.804 * [taylor]: Taking taylor expansion of re in re
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [backup-simplify]: Simplify 1 into 1
11.804 * [backup-simplify]: Simplify (* 1 1) into 1
11.805 * [backup-simplify]: Simplify (/ 1 1) into 1
11.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.805 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.805 * [taylor]: Taking taylor expansion of im in re
11.805 * [backup-simplify]: Simplify im into im
11.805 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.805 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.806 * [backup-simplify]: Simplify (+ 1 0) into 1
11.806 * [backup-simplify]: Simplify (sqrt 1) into 1
11.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.808 * [backup-simplify]: Simplify (+ 0 0) into 0
11.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.808 * [taylor]: Taking taylor expansion of re in re
11.808 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [backup-simplify]: Simplify (/ 1 1) into 1
11.809 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
11.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
11.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
11.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
11.809 * [taylor]: Taking taylor expansion of (pow re 2) in re
11.809 * [taylor]: Taking taylor expansion of re in re
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.810 * [backup-simplify]: Simplify (* 1 1) into 1
11.810 * [backup-simplify]: Simplify (/ 1 1) into 1
11.810 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
11.810 * [taylor]: Taking taylor expansion of (pow im 2) in re
11.810 * [taylor]: Taking taylor expansion of im in re
11.810 * [backup-simplify]: Simplify im into im
11.810 * [backup-simplify]: Simplify (* im im) into (pow im 2)
11.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
11.811 * [backup-simplify]: Simplify (+ 1 0) into 1
11.811 * [backup-simplify]: Simplify (sqrt 1) into 1
11.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.813 * [backup-simplify]: Simplify (+ 0 0) into 0
11.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re
11.814 * [taylor]: Taking taylor expansion of re in re
11.814 * [backup-simplify]: Simplify 0 into 0
11.814 * [backup-simplify]: Simplify 1 into 1
11.814 * [backup-simplify]: Simplify (/ 1 1) into 1
11.815 * [backup-simplify]: Simplify (- 1) into -1
11.815 * [backup-simplify]: Simplify (+ 1 -1) into 0
11.815 * [taylor]: Taking taylor expansion of 0 in im
11.816 * [backup-simplify]: Simplify 0 into 0
11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.817 * [backup-simplify]: Simplify (- 0) into 0
11.817 * [backup-simplify]: Simplify (+ 0 0) into 0
11.817 * [taylor]: Taking taylor expansion of 0 in im
11.817 * [backup-simplify]: Simplify 0 into 0
11.817 * [backup-simplify]: Simplify 0 into 0
11.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
11.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
11.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.822 * [backup-simplify]: Simplify (- 0) into 0
11.822 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
11.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
11.822 * [taylor]: Taking taylor expansion of 1/2 in im
11.822 * [backup-simplify]: Simplify 1/2 into 1/2
11.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
11.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
11.822 * [taylor]: Taking taylor expansion of im in im
11.822 * [backup-simplify]: Simplify 0 into 0
11.822 * [backup-simplify]: Simplify 1 into 1
11.822 * [backup-simplify]: Simplify (* 1 1) into 1
11.823 * [backup-simplify]: Simplify (/ 1 1) into 1
11.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
11.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
11.828 * [backup-simplify]: Simplify (+ 0 0) into 0
11.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
11.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.830 * [backup-simplify]: Simplify (- 0) into 0
11.830 * [backup-simplify]: Simplify (+ 0 0) into 0
11.830 * [taylor]: Taking taylor expansion of 0 in im
11.830 * [backup-simplify]: Simplify 0 into 0
11.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
11.833 * [backup-simplify]: Simplify 0 into 0
11.833 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * * * [progress]: simplifying candidates
11.834 * * * * [progress]: [ 1 / 72 ] 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 (pow (+ (* re re) (* im im)) 1/2)))) re)))))>
11.834 * * * * [progress]: [ 2 / 72 ] 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 (pow (sqrt (+ (* re re) (* im im))) 1)))) re)))))>
11.834 * * * * [progress]: [ 3 / 72 ] 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 (exp (log (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.834 * * * * [progress]: [ 4 / 72 ] 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 (log (exp (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.834 * * * * [progress]: [ 5 / 72 ] 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 (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.834 * * * * [progress]: [ 6 / 72 ] 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 (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.834 * * * * [progress]: [ 7 / 72 ] 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 (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))))) re)))))>
11.834 * * * * [progress]: [ 8 / 72 ] 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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.834 * * * * [progress]: [ 9 / 72 ] 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 1) (sqrt (+ (* re re) (* im im))))))) re)))))>
11.834 * * * * [progress]: [ 10 / 72 ] 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 (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))))) re)))))>
11.835 * * * * [progress]: [ 11 / 72 ] 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) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) re)))))>
11.835 * * * * [progress]: [ 12 / 72 ] 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 (pow (+ (* re re) (* im im)) (/ 1 2))))) re)))))>
11.835 * * * * [progress]: [ 13 / 72 ] 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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.835 * * * * [progress]: [ 14 / 72 ] 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 (fabs (sqrt (+ (* re re) (* im im))))))) re)))))>
11.835 * * * * [progress]: [ 15 / 72 ] 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 (* 1 (sqrt (+ (* re re) (* im im))))))) re)))))>
11.835 * * * * [progress]: [ 16 / 72 ] 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 (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) re)))))>
11.835 * * * * [progress]: [ 17 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (pow (+ (* re re) (* im im)) 1/2)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.835 * * * * [progress]: [ 18 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.835 * * * * [progress]: [ 19 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.835 * * * * [progress]: [ 20 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.835 * * * * [progress]: [ 21 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.835 * * * * [progress]: [ 22 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 23 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 24 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 25 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 26 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (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 (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 27 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 28 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 29 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (fabs (sqrt (+ (* re re) (* im im))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 31 / 72 ] 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))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.836 * * * * [progress]: [ 33 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (+ (* re re) (* im im)) 1/2)) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 34 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (sqrt (+ (* re re) (* im im))) 1)) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 35 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 36 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (log (exp (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 37 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 38 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 39 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 40 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 41 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* (sqrt 1) (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 42 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 43 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 44 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (pow (+ (* re re) (* im im)) (/ 1 2))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 45 / 72 ] 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 (sqrt (+ (* re re) (* im im)))))) re)))))>
11.837 * * * * [progress]: [ 46 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.838 * * * * [progress]: [ 47 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* 1 (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.838 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.838 * * * * [progress]: [ 49 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)))))))>
11.838 * * * * [progress]: [ 50 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) 1)))))>
11.838 * * * * [progress]: [ 51 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>
11.838 * * * * [progress]: [ 52 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>
11.838 * * * * [progress]: [ 53 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>
11.838 * * * * [progress]: [ 54 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>
11.838 * * * * [progress]: [ 55 / 72 ] 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)))))) re)) (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>
11.838 * * * * [progress]: [ 56 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (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))))))) (- (* re re) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))))>
11.839 * * * * [progress]: [ 57 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>
11.839 * * * * [progress]: [ 58 / 72 ] 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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>
11.839 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))>
11.839 * * * * [progress]: [ 60 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))))))))>
11.839 * * * * [progress]: [ 61 / 72 ] 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 im))) re)))))>
11.839 * * * * [progress]: [ 62 / 72 ] 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)))))>
11.839 * * * * [progress]: [ 63 / 72 ] 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 (* -1 re)))) re)))))>
11.839 * * * * [progress]: [ 64 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt im))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.839 * * * * [progress]: [ 65 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt re))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.839 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* -1 re)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.839 * * * * [progress]: [ 67 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt im) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.839 * * * * [progress]: [ 68 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt re) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.839 * * * * [progress]: [ 69 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (* -1 re)) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))>
11.839 * * * * [progress]: [ 70 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
11.839 * * * * [progress]: [ 71 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
11.840 * * * * [progress]: [ 72 / 72 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
11.841 * [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))))
  (* (exp (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re))
  (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (exp (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (* (* (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (sqrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  (+ (pow (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3))
  (+ (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (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))))))) (- (* re re) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))
  (- (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (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))))))) (* re re))
  (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)
  (real->posit16 (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  (+ re im)
  (* 2 re)
  0
11.843 * * [simplify]: iteration 1: (66 enodes)
11.867 * * [simplify]: iteration 2: (169 enodes)
11.933 * * [simplify]: iteration 3: (486 enodes)
12.197 * * [simplify]: iteration 4: (1208 enodes)
13.116 * * [simplify]: Extracting #0: cost 33 inf + 0
13.116 * * [simplify]: Extracting #1: cost 150 inf + 88
13.118 * * [simplify]: Extracting #2: cost 497 inf + 3148
13.126 * * [simplify]: Extracting #3: cost 640 inf + 35270
13.169 * * [simplify]: Extracting #4: cost 296 inf + 177043
13.260 * * [simplify]: Extracting #5: cost 11 inf + 315238
13.364 * * [simplify]: Extracting #6: cost 0 inf + 320841
13.470 * [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))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* 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 im) (- re 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))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* 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 im) (- re 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))))
  (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))))
  (fabs (cbrt (+ (* re re) (* im im))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  1
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* (* 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 im) (- re im)))
  1/2
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (real->posit16 (sqrt (+ (* re re) (* im im))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (log (+ re (sqrt (+ (* re re) (* im im)))))
  (exp (+ re (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))
  (cbrt (+ re (sqrt (+ (* re re) (* im im)))))
  (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (sqrt (+ re (sqrt (+ (* re re) (* im im)))))
  (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* re (* re re)))
  (- (+ (* re re) (+ (* re re) (* im im))) (* re (sqrt (+ (* re re) (* im im)))))
  (+ (* re re) (- (* im im) (* re re)))
  (- (sqrt (+ (* re re) (* im im))) re)
  (real->posit16 (+ re (sqrt (+ (* re re) (* im im)))))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
  (+ re im)
  (* re 2)
  0
13.480 * * * [progress]: adding candidates to table
14.475 * [progress]: [Phase 3 of 3] Extracting.
14.475 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
14.478 * * * [regime-changes]: Trying 3 branch expressions: (im (* im im) re)
14.478 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
14.580 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
14.655 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
14.708 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
14.796 * * * [regime]: Found split indices: #<option (#s(si 0 88) #s(si 4 113) #s(si 2 213) #s(si 1 255))>
14.797 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
15.063 * [regimes]: Found splitpoints: (#s(sp 0 re -3.471563953414917e-82) #s(sp 4 re -8.308754597855719e-213) #s(sp 2 re 9.946851897479392e+107) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (cbrt (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* (* (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)))))))> #<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)))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))))))>)
15.063 * [simplify]: Simplifying:
  (if (<= re -3.471563953414917e-82) (* 0.5 (/ (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (if (<= re -8.308754597855719e-213) (* 0.5 (sqrt (* 2.0 (+ re im)))) (if (<= re 9.946851897479392e+107) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re)))))))
15.063 * * [simplify]: iteration 1: (39 enodes)
15.065 * * [simplify]: iteration 2: (51 enodes)
15.066 * * [simplify]: Extracting #0: cost 1 inf + 0
15.066 * * [simplify]: Extracting #1: cost 4 inf + 0
15.066 * * [simplify]: Extracting #2: cost 11 inf + 0
15.067 * * [simplify]: Extracting #3: cost 15 inf + 3
15.067 * * [simplify]: Extracting #4: cost 19 inf + 71
15.067 * * [simplify]: Extracting #5: cost 23 inf + 139
15.067 * * [simplify]: Extracting #6: cost 26 inf + 207
15.067 * * [simplify]: Extracting #7: cost 25 inf + 250
15.067 * * [simplify]: Extracting #8: cost 17 inf + 1107
15.067 * * [simplify]: Extracting #9: cost 11 inf + 2321
15.068 * * [simplify]: Extracting #10: cost 7 inf + 3372
15.068 * * [simplify]: Extracting #11: cost 5 inf + 3859
15.069 * * [simplify]: Extracting #12: cost 4 inf + 4222
15.070 * * [simplify]: Extracting #13: cost 3 inf + 4626
15.071 * * [simplify]: Extracting #14: cost 0 inf + 7664
15.072 * [simplify]: Simplified to:
  (if (<= re -3.471563953414917e-82) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (if (<= re -8.308754597855719e-213) (* 0.5 (sqrt (* 2.0 (+ im re)))) (if (<= re 9.946851897479392e+107) (* (sqrt (* (+ (* (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re))))) re) 2.0)) 0.5) (* (sqrt (* (+ re re) 2.0)) 0.5))))
18.780 * [regime-testing]: Baseline error score: 37.314617107998885
18.783 * [regime-testing]: Oracle error score: 17.63408405298028
18.787 * [regime-testing]: End program error score: 26.377197098284537
18.858 * [regime-testing]: Target error score: 32.37722208633416