0.002 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.114 * * * [progress]: [2/2] Setting up program.
0.120 * [progress]: [Phase 2 of 3] Improving.
0.120 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.120 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.120 * * [simplify]: iteration 1: (12 enodes)
0.127 * * [simplify]: iteration 2: (46 enodes)
0.141 * * [simplify]: iteration 3: (56 enodes)
0.156 * * [simplify]: Extracting #0: cost 1 inf + 0
0.156 * * [simplify]: Extracting #1: cost 4 inf + 0
0.156 * * [simplify]: Extracting #2: cost 5 inf + 1
0.156 * * [simplify]: Extracting #3: cost 10 inf + 1
0.156 * * [simplify]: Extracting #4: cost 14 inf + 2
0.156 * * [simplify]: Extracting #5: cost 13 inf + 87
0.156 * * [simplify]: Extracting #6: cost 16 inf + 87
0.156 * * [simplify]: Extracting #7: cost 18 inf + 128
0.157 * * [simplify]: Extracting #8: cost 15 inf + 211
0.157 * * [simplify]: Extracting #9: cost 6 inf + 1670
0.158 * * [simplify]: Extracting #10: cost 1 inf + 3047
0.160 * * [simplify]: Extracting #11: cost 0 inf + 3330
0.161 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))
0.168 * * [progress]: iteration 1 / 4
0.168 * * * [progress]: picking best candidate
0.173 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.174 * * * [progress]: localizing error
0.228 * * * [progress]: generating rewritten candidates
0.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1)
0.240 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2)
0.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1)
0.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
0.308 * * * [progress]: generating series expansions
0.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1)
0.309 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
0.309 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.309 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.309 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.309 * [taylor]: Taking taylor expansion of im in im
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.309 * [taylor]: Taking taylor expansion of re in im
0.309 * [backup-simplify]: Simplify re into re
0.309 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.309 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.309 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.309 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.310 * [backup-simplify]: Simplify (+ 0 0) into 0
0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.310 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.310 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.310 * [taylor]: Taking taylor expansion of im in re
0.310 * [backup-simplify]: Simplify im into im
0.311 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.311 * [taylor]: Taking taylor expansion of re in re
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.311 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.311 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.312 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.312 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.312 * [taylor]: Taking taylor expansion of im in re
0.312 * [backup-simplify]: Simplify im into im
0.312 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.312 * [taylor]: Taking taylor expansion of re in re
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.312 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.312 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.313 * [taylor]: Taking taylor expansion of im in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [taylor]: Taking taylor expansion of 0 in im
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.315 * [backup-simplify]: Simplify (+ 0 1) into 1
0.316 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.316 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.316 * [taylor]: Taking taylor expansion of 1/2 in im
0.316 * [backup-simplify]: Simplify 1/2 into 1/2
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in im
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.321 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.321 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.321 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.321 * [taylor]: Taking taylor expansion of re in im
0.321 * [backup-simplify]: Simplify re into re
0.321 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.321 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.322 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.322 * [taylor]: Taking taylor expansion of im in im
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.323 * [backup-simplify]: Simplify (+ 0 1) into 1
0.324 * [backup-simplify]: Simplify (sqrt 1) into 1
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.327 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.327 * [taylor]: Taking taylor expansion of re in re
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
0.327 * [backup-simplify]: Simplify (/ 1 1) into 1
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.327 * [taylor]: Taking taylor expansion of im in re
0.327 * [backup-simplify]: Simplify im into im
0.327 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.328 * [backup-simplify]: Simplify (+ 1 0) into 1
0.328 * [backup-simplify]: Simplify (sqrt 1) into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ 0 0) into 0
0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.330 * [taylor]: Taking taylor expansion of re in re
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (/ 1 1) into 1
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.330 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.330 * [taylor]: Taking taylor expansion of im in re
0.330 * [backup-simplify]: Simplify im into im
0.331 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.331 * [backup-simplify]: Simplify (+ 1 0) into 1
0.331 * [backup-simplify]: Simplify (sqrt 1) into 1
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.333 * [taylor]: Taking taylor expansion of 1 in im
0.333 * [backup-simplify]: Simplify 1 into 1
0.333 * [taylor]: Taking taylor expansion of 0 in im
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.335 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.335 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.335 * [taylor]: Taking taylor expansion of 1/2 in im
0.335 * [backup-simplify]: Simplify 1/2 into 1/2
0.335 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.335 * [taylor]: Taking taylor expansion of im in im
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (* 1 1) into 1
0.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in im
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.341 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
0.341 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.341 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.341 * [taylor]: Taking taylor expansion of re in im
0.341 * [backup-simplify]: Simplify re into re
0.341 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.341 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.341 * [taylor]: Taking taylor expansion of im in im
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.342 * [backup-simplify]: Simplify (/ 1 1) into 1
0.342 * [backup-simplify]: Simplify (+ 0 1) into 1
0.342 * [backup-simplify]: Simplify (sqrt 1) into 1
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.344 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.344 * [taylor]: Taking taylor expansion of re in re
0.344 * [backup-simplify]: Simplify 0 into 0
0.344 * [backup-simplify]: Simplify 1 into 1
0.345 * [backup-simplify]: Simplify (* 1 1) into 1
0.345 * [backup-simplify]: Simplify (/ 1 1) into 1
0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.345 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.345 * [taylor]: Taking taylor expansion of im in re
0.345 * [backup-simplify]: Simplify im into im
0.345 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.345 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.346 * [backup-simplify]: Simplify (+ 1 0) into 1
0.346 * [backup-simplify]: Simplify (sqrt 1) into 1
0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify (+ 0 0) into 0
0.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.348 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.348 * [taylor]: Taking taylor expansion of re in re
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.348 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.348 * [taylor]: Taking taylor expansion of im in re
0.349 * [backup-simplify]: Simplify im into im
0.349 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.349 * [backup-simplify]: Simplify (+ 1 0) into 1
0.349 * [backup-simplify]: Simplify (sqrt 1) into 1
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.351 * [taylor]: Taking taylor expansion of 1 in im
0.351 * [backup-simplify]: Simplify 1 into 1
0.351 * [taylor]: Taking taylor expansion of 0 in im
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.353 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.353 * [taylor]: Taking taylor expansion of 1/2 in im
0.353 * [backup-simplify]: Simplify 1/2 into 1/2
0.353 * [taylor]: Taking taylor expansion of (pow im 2) 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
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.359 * [taylor]: Taking taylor expansion of 0 in im
0.359 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.362 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2)
0.362 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
0.362 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
0.362 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.362 * [taylor]: Taking taylor expansion of re in im
0.362 * [backup-simplify]: Simplify re into re
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.362 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.362 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.362 * [taylor]: Taking taylor expansion of im in im
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.362 * [taylor]: Taking taylor expansion of re in im
0.362 * [backup-simplify]: Simplify re into re
0.362 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.363 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.363 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.363 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.363 * [backup-simplify]: Simplify (+ 0 0) into 0
0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.363 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.363 * [taylor]: Taking taylor expansion of re in re
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.363 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.364 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.364 * [taylor]: Taking taylor expansion of im in re
0.364 * [backup-simplify]: Simplify im into im
0.364 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.364 * [taylor]: Taking taylor expansion of re in re
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.364 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.364 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.364 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.365 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.365 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.365 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.365 * [taylor]: Taking taylor expansion of im in re
0.365 * [backup-simplify]: Simplify im into im
0.365 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.365 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.365 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.365 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 im) into im
0.366 * [taylor]: Taking taylor expansion of im in im
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify (+ 1 0) into 1
0.367 * [taylor]: Taking taylor expansion of 1 in im
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.368 * [backup-simplify]: Simplify (* 1 1) into 1
0.368 * [backup-simplify]: Simplify (+ 0 1) into 1
0.369 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.369 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.369 * [taylor]: Taking taylor expansion of 1/2 in im
0.369 * [backup-simplify]: Simplify 1/2 into 1/2
0.369 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.370 * [taylor]: Taking taylor expansion of im in im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.373 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.375 * [backup-simplify]: Simplify (+ 0 0) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.377 * [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)))))
0.377 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.378 * [taylor]: Taking taylor expansion of re in im
0.378 * [backup-simplify]: Simplify re into re
0.378 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.378 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.378 * [taylor]: Taking taylor expansion of re in im
0.378 * [backup-simplify]: Simplify re into re
0.378 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.378 * [taylor]: Taking taylor expansion of (pow im 2) 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
0.380 * [backup-simplify]: Simplify (+ 0 1) into 1
0.380 * [backup-simplify]: Simplify (sqrt 1) into 1
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.383 * [taylor]: Taking taylor expansion of re in re
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (/ 1 1) into 1
0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.383 * [taylor]: Taking taylor expansion of re in re
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify (* 1 1) into 1
0.385 * [backup-simplify]: Simplify (/ 1 1) into 1
0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.385 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.385 * [taylor]: Taking taylor expansion of im in re
0.385 * [backup-simplify]: Simplify im into im
0.385 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.385 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.385 * [backup-simplify]: Simplify (+ 1 0) into 1
0.386 * [backup-simplify]: Simplify (sqrt 1) into 1
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.389 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.389 * [taylor]: Taking taylor expansion of re in re
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.389 * [backup-simplify]: Simplify (/ 1 1) into 1
0.389 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.389 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.389 * [taylor]: Taking taylor expansion of re in re
0.389 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify (* 1 1) into 1
0.390 * [backup-simplify]: Simplify (/ 1 1) into 1
0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.390 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.390 * [taylor]: Taking taylor expansion of im in re
0.390 * [backup-simplify]: Simplify im into im
0.390 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.391 * [backup-simplify]: Simplify (+ 1 0) into 1
0.391 * [backup-simplify]: Simplify (sqrt 1) into 1
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.397 * [backup-simplify]: Simplify (+ 1 1) into 2
0.397 * [taylor]: Taking taylor expansion of 2 in im
0.397 * [backup-simplify]: Simplify 2 into 2
0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.398 * [backup-simplify]: Simplify (+ 0 0) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in im
0.398 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 2 into 2
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.404 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.404 * [taylor]: Taking taylor expansion of 1/2 in im
0.404 * [backup-simplify]: Simplify 1/2 into 1/2
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.404 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.404 * [taylor]: Taking taylor expansion of im in im
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
0.405 * [backup-simplify]: Simplify (/ 1 1) into 1
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.408 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [taylor]: Taking taylor expansion of 0 in im
0.413 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.417 * [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))
0.417 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
0.417 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.417 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.417 * [taylor]: Taking taylor expansion of re in im
0.417 * [backup-simplify]: Simplify re into re
0.417 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.417 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.417 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.417 * [taylor]: Taking taylor expansion of im in im
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (* 1 1) into 1
0.418 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [backup-simplify]: Simplify (+ 0 1) into 1
0.419 * [backup-simplify]: Simplify (sqrt 1) into 1
0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.422 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.422 * [taylor]: Taking taylor expansion of re in im
0.422 * [backup-simplify]: Simplify re into re
0.422 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.422 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.422 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.422 * [taylor]: Taking taylor expansion of re in re
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (* 1 1) into 1
0.423 * [backup-simplify]: Simplify (/ 1 1) into 1
0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.423 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.423 * [taylor]: Taking taylor expansion of im in re
0.423 * [backup-simplify]: Simplify im into im
0.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.423 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.424 * [backup-simplify]: Simplify (+ 1 0) into 1
0.424 * [backup-simplify]: Simplify (sqrt 1) into 1
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.425 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.426 * [taylor]: Taking taylor expansion of re in re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.426 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.426 * [taylor]: Taking taylor expansion of re in re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.427 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.427 * [taylor]: Taking taylor expansion of im in re
0.427 * [backup-simplify]: Simplify im into im
0.427 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.427 * [backup-simplify]: Simplify (+ 1 0) into 1
0.427 * [backup-simplify]: Simplify (sqrt 1) into 1
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.429 * [taylor]: Taking taylor expansion of re in re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (/ 1 1) into 1
0.430 * [backup-simplify]: Simplify (- 1) into -1
0.430 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.430 * [taylor]: Taking taylor expansion of 0 in im
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (- 0) into 0
0.431 * [backup-simplify]: Simplify (+ 0 0) into 0
0.431 * [taylor]: Taking taylor expansion of 0 in im
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (- 0) into 0
0.434 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.434 * [taylor]: Taking taylor expansion of 1/2 in im
0.434 * [backup-simplify]: Simplify 1/2 into 1/2
0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.434 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.434 * [taylor]: Taking taylor expansion of im in im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (* 1 1) into 1
0.435 * [backup-simplify]: Simplify (/ 1 1) into 1
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (- 0) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [taylor]: Taking taylor expansion of 0 in im
0.442 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1)
0.444 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
0.444 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
0.444 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.444 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.444 * [taylor]: Taking taylor expansion of im in im
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.444 * [taylor]: Taking taylor expansion of re in im
0.444 * [backup-simplify]: Simplify re into re
0.444 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.444 * [taylor]: Taking taylor expansion of im in re
0.444 * [backup-simplify]: Simplify im into im
0.444 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.444 * [taylor]: Taking taylor expansion of re in re
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.444 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.444 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.444 * [taylor]: Taking taylor expansion of im in re
0.444 * [backup-simplify]: Simplify im into im
0.444 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.444 * [taylor]: Taking taylor expansion of re in re
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.445 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
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 (+ (* im 0) (* 0 im)) into 0
0.445 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [taylor]: Taking taylor expansion of 0 in im
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.446 * [backup-simplify]: Simplify (* 1 1) into 1
0.446 * [backup-simplify]: Simplify (+ 0 1) into 1
0.446 * [taylor]: Taking taylor expansion of 1 in im
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (* 1 1) into 1
0.446 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.448 * [backup-simplify]: Simplify (+ 0 0) into 0
0.448 * [taylor]: Taking taylor expansion of 0 in im
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.448 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [taylor]: Taking taylor expansion of 0 in im
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
0.450 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.450 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.450 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.450 * [taylor]: Taking taylor expansion of re in im
0.450 * [backup-simplify]: Simplify re into re
0.451 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.451 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.451 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.451 * [taylor]: Taking taylor expansion of im in im
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify (/ 1 1) into 1
0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.452 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.452 * [taylor]: Taking taylor expansion of re in re
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.453 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.453 * [taylor]: Taking taylor expansion of im in re
0.453 * [backup-simplify]: Simplify im into im
0.453 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.453 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.453 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.453 * [taylor]: Taking taylor expansion of re in re
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (* 1 1) into 1
0.454 * [backup-simplify]: Simplify (/ 1 1) into 1
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.454 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.454 * [taylor]: Taking taylor expansion of im in re
0.454 * [backup-simplify]: Simplify im into im
0.454 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.454 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.455 * [backup-simplify]: Simplify (+ 1 0) into 1
0.455 * [taylor]: Taking taylor expansion of 1 in im
0.455 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [taylor]: Taking taylor expansion of 0 in im
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.460 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.460 * [taylor]: Taking taylor expansion of im in im
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 1 into 1
0.460 * [backup-simplify]: Simplify (* 1 1) into 1
0.460 * [backup-simplify]: Simplify (/ 1 1) into 1
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify 1 into 1
0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 0) into 0
0.464 * [taylor]: Taking taylor expansion of 0 in im
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.469 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.469 * [backup-simplify]: Simplify (+ 0 0) into 0
0.469 * [taylor]: Taking taylor expansion of 0 in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
0.472 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
0.472 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.472 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.472 * [taylor]: Taking taylor expansion of re in im
0.472 * [backup-simplify]: Simplify re into re
0.473 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.473 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.473 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.473 * [taylor]: Taking taylor expansion of im in im
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.474 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.474 * [taylor]: Taking taylor expansion of re in re
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (/ 1 1) into 1
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.475 * [taylor]: Taking taylor expansion of im in re
0.475 * [backup-simplify]: Simplify im into im
0.475 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.475 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.475 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.475 * [taylor]: Taking taylor expansion of re in re
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.476 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.476 * [taylor]: Taking taylor expansion of im in re
0.476 * [backup-simplify]: Simplify im into im
0.476 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.476 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.477 * [backup-simplify]: Simplify (+ 1 0) into 1
0.477 * [taylor]: Taking taylor expansion of 1 in im
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.478 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [taylor]: Taking taylor expansion of 0 in im
0.479 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.481 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.481 * [taylor]: Taking taylor expansion of im in im
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.482 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.484 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.484 * [backup-simplify]: Simplify (+ 0 0) into 0
0.485 * [taylor]: Taking taylor expansion of 0 in im
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.489 * [backup-simplify]: Simplify (+ 0 0) into 0
0.490 * [taylor]: Taking taylor expansion of 0 in im
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
0.491 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
0.492 * [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))))))
0.492 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
0.492 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
0.492 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.492 * [taylor]: Taking taylor expansion of 2.0 in im
0.492 * [backup-simplify]: Simplify 2.0 into 2.0
0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.492 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
0.492 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
0.492 * [taylor]: Taking taylor expansion of re in im
0.492 * [backup-simplify]: Simplify re into re
0.492 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
0.492 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
0.492 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.493 * [taylor]: Taking taylor expansion of im in im
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 1 into 1
0.493 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.493 * [taylor]: Taking taylor expansion of re in im
0.493 * [backup-simplify]: Simplify re into re
0.493 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.493 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
0.493 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.493 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.493 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.493 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.494 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.494 * [taylor]: Taking taylor expansion of 2.0 in re
0.494 * [backup-simplify]: Simplify 2.0 into 2.0
0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.495 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.495 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) 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 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.495 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.495 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.495 * [taylor]: Taking taylor expansion of im in re
0.495 * [backup-simplify]: Simplify im into im
0.495 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* im im) into (pow im 2)
0.495 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.495 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.495 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 im) into im
0.495 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.496 * [backup-simplify]: Simplify (+ 1 0) into 1
0.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.496 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.496 * [taylor]: Taking taylor expansion of 2.0 in re
0.496 * [backup-simplify]: Simplify 2.0 into 2.0
0.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.497 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
0.497 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
0.497 * [taylor]: Taking taylor expansion of re in re
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
0.497 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
0.497 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.497 * [taylor]: Taking taylor expansion of im in re
0.497 * [backup-simplify]: Simplify im into im
0.497 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.497 * [taylor]: Taking taylor expansion of re in re
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.497 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
0.497 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.497 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.497 * [backup-simplify]: Simplify (+ 0 0) into 0
0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.497 * [backup-simplify]: Simplify (+ 0 im) into im
0.497 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.498 * [backup-simplify]: Simplify (+ 1 0) into 1
0.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.498 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.498 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.498 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.498 * [taylor]: Taking taylor expansion of 2.0 in im
0.498 * [backup-simplify]: Simplify 2.0 into 2.0
0.499 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.500 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.500 * [taylor]: Taking taylor expansion of im in im
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (sqrt 0) into 0
0.506 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.506 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.506 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.507 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.507 * [taylor]: Taking taylor expansion of 1/2 in im
0.507 * [backup-simplify]: Simplify 1/2 into 1/2
0.507 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.507 * [taylor]: Taking taylor expansion of 2.0 in im
0.507 * [backup-simplify]: Simplify 2.0 into 2.0
0.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.508 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.508 * [taylor]: Taking taylor expansion of im in im
0.508 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (/ 1 1) into 1
0.508 * [backup-simplify]: Simplify (sqrt 0) into 0
0.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.511 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.511 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.514 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.516 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.517 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.517 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.517 * [backup-simplify]: Simplify (* 1 1) into 1
0.518 * [backup-simplify]: Simplify (+ 0 1) into 1
0.518 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.518 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
0.519 * [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))))
0.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.521 * [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)))))
0.521 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.521 * [taylor]: Taking taylor expansion of 1/8 in im
0.521 * [backup-simplify]: Simplify 1/8 into 1/8
0.521 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.521 * [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)
0.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.522 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (* 1 1) into 1
0.523 * [backup-simplify]: Simplify (/ 1 1) into 1
0.524 * [backup-simplify]: Simplify (sqrt 0) into 0
0.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.536 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.538 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.538 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.544 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.546 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.552 * [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)))))))
0.552 * [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)))))))
0.552 * [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
0.552 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
0.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.552 * [taylor]: Taking taylor expansion of 2.0 in im
0.552 * [backup-simplify]: Simplify 2.0 into 2.0
0.553 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
0.553 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.553 * [taylor]: Taking taylor expansion of re in im
0.553 * [backup-simplify]: Simplify re into re
0.554 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.554 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.554 * [taylor]: Taking taylor expansion of re in im
0.554 * [backup-simplify]: Simplify re into re
0.554 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.554 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.554 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.554 * [taylor]: Taking taylor expansion of im in im
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (* 1 1) into 1
0.555 * [backup-simplify]: Simplify (/ 1 1) into 1
0.555 * [backup-simplify]: Simplify (+ 0 1) into 1
0.556 * [backup-simplify]: Simplify (sqrt 1) into 1
0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.559 * [backup-simplify]: Simplify (+ 0 1) into 1
0.559 * [backup-simplify]: Simplify (sqrt 0) into 0
0.560 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.560 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.560 * [taylor]: Taking taylor expansion of 2.0 in re
0.560 * [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 (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.562 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.562 * [taylor]: Taking taylor expansion of re in re
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 1 into 1
0.562 * [backup-simplify]: Simplify (/ 1 1) into 1
0.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.562 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.562 * [taylor]: Taking taylor expansion of re in re
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
0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.563 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.563 * [taylor]: Taking taylor expansion of im in re
0.563 * [backup-simplify]: Simplify im into im
0.563 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.564 * [backup-simplify]: Simplify (+ 1 0) into 1
0.564 * [backup-simplify]: Simplify (sqrt 1) into 1
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify (+ 0 0) into 0
0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.567 * [backup-simplify]: Simplify (+ 1 1) into 2
0.568 * [backup-simplify]: Simplify (sqrt 0) into 0
0.569 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.569 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
0.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.569 * [taylor]: Taking taylor expansion of 2.0 in re
0.569 * [backup-simplify]: Simplify 2.0 into 2.0
0.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
0.570 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
0.570 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.570 * [taylor]: Taking taylor expansion of re in re
0.570 * [backup-simplify]: Simplify 0 into 0
0.570 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (/ 1 1) into 1
0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.571 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.571 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.571 * [taylor]: Taking taylor expansion of re in re
0.571 * [backup-simplify]: Simplify 0 into 0
0.571 * [backup-simplify]: Simplify 1 into 1
0.571 * [backup-simplify]: Simplify (* 1 1) into 1
0.572 * [backup-simplify]: Simplify (/ 1 1) into 1
0.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.572 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.572 * [taylor]: Taking taylor expansion of im in re
0.572 * [backup-simplify]: Simplify im into im
0.572 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.572 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.572 * [backup-simplify]: Simplify (+ 1 0) into 1
0.573 * [backup-simplify]: Simplify (sqrt 1) into 1
0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.574 * [backup-simplify]: Simplify (+ 0 0) into 0
0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.576 * [backup-simplify]: Simplify (+ 1 1) into 2
0.576 * [backup-simplify]: Simplify (sqrt 0) into 0
0.577 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.578 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.578 * [taylor]: Taking taylor expansion of 0 in im
0.578 * [backup-simplify]: Simplify 0 into 0
0.582 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.582 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.582 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.582 * [taylor]: Taking taylor expansion of +nan.0 in im
0.582 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.582 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.582 * [taylor]: Taking taylor expansion of 2.0 in im
0.582 * [backup-simplify]: Simplify 2.0 into 2.0
0.582 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.583 * [backup-simplify]: Simplify 0 into 0
0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ 0 0) into 0
0.585 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.588 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.588 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.588 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.588 * [taylor]: Taking taylor expansion of +nan.0 in im
0.588 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.588 * [taylor]: Taking taylor expansion of 2.0 in im
0.588 * [backup-simplify]: Simplify 2.0 into 2.0
0.588 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.589 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.590 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.591 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.591 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.594 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.594 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.595 * [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))
0.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.597 * [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))))))
0.597 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.597 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.597 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.597 * [taylor]: Taking taylor expansion of +nan.0 in im
0.597 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.597 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.597 * [taylor]: Taking taylor expansion of 2.0 in im
0.597 * [backup-simplify]: Simplify 2.0 into 2.0
0.597 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.598 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.598 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.598 * [taylor]: Taking taylor expansion of +nan.0 in im
0.598 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.598 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.598 * [taylor]: Taking taylor expansion of 2.0 in im
0.598 * [backup-simplify]: Simplify 2.0 into 2.0
0.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.599 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.599 * [taylor]: Taking taylor expansion of im in im
0.599 * [backup-simplify]: Simplify 0 into 0
0.599 * [backup-simplify]: Simplify 1 into 1
0.599 * [backup-simplify]: Simplify (* 1 1) into 1
0.600 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.601 * [backup-simplify]: Simplify (- 0) into 0
0.602 * [backup-simplify]: Simplify (+ 0 0) into 0
0.602 * [backup-simplify]: Simplify (- 0) into 0
0.602 * [backup-simplify]: Simplify 0 into 0
0.603 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.604 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.608 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.608 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.608 * [backup-simplify]: Simplify (- 0) into 0
0.608 * [backup-simplify]: Simplify 0 into 0
0.608 * [backup-simplify]: Simplify 0 into 0
0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.610 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.611 * [backup-simplify]: Simplify (+ 0 0) into 0
0.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.611 * [backup-simplify]: Simplify (+ 0 0) into 0
0.612 * [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)))
0.613 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.614 * [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))))))
0.614 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.614 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.614 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.614 * [taylor]: Taking taylor expansion of +nan.0 in im
0.614 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.614 * [taylor]: Taking taylor expansion of 2.0 in im
0.614 * [backup-simplify]: Simplify 2.0 into 2.0
0.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.615 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.615 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.615 * [taylor]: Taking taylor expansion of +nan.0 in im
0.615 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.615 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.615 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.615 * [taylor]: Taking taylor expansion of 2.0 in im
0.615 * [backup-simplify]: Simplify 2.0 into 2.0
0.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.616 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.616 * [taylor]: Taking taylor expansion of im in im
0.616 * [backup-simplify]: Simplify 0 into 0
0.616 * [backup-simplify]: Simplify 1 into 1
0.616 * [backup-simplify]: Simplify (* 1 1) into 1
0.617 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.618 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.619 * [backup-simplify]: Simplify (- 0) into 0
0.619 * [backup-simplify]: Simplify (+ 0 0) into 0
0.619 * [backup-simplify]: Simplify (- 0) into 0
0.619 * [backup-simplify]: Simplify 0 into 0
0.620 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.622 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.623 * [backup-simplify]: Simplify (- 0) into 0
0.624 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.626 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.628 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.633 * [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))))))))
0.633 * [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))))
0.633 * [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
0.633 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
0.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.633 * [taylor]: Taking taylor expansion of 2.0 in im
0.633 * [backup-simplify]: Simplify 2.0 into 2.0
0.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.635 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
0.635 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
0.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.635 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.635 * [taylor]: Taking taylor expansion of re in im
0.635 * [backup-simplify]: Simplify re into re
0.635 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.635 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.635 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.635 * [taylor]: Taking taylor expansion of im in im
0.635 * [backup-simplify]: Simplify 0 into 0
0.635 * [backup-simplify]: Simplify 1 into 1
0.635 * [backup-simplify]: Simplify (* 1 1) into 1
0.636 * [backup-simplify]: Simplify (/ 1 1) into 1
0.636 * [backup-simplify]: Simplify (+ 0 1) into 1
0.637 * [backup-simplify]: Simplify (sqrt 1) into 1
0.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.638 * [backup-simplify]: Simplify (+ 0 0) into 0
0.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.639 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.639 * [taylor]: Taking taylor expansion of re in im
0.639 * [backup-simplify]: Simplify re into re
0.639 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.640 * [backup-simplify]: Simplify (+ 1 0) into 1
0.640 * [backup-simplify]: Simplify (sqrt 0) into 0
0.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.641 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.642 * [taylor]: Taking taylor expansion of 2.0 in re
0.642 * [backup-simplify]: Simplify 2.0 into 2.0
0.642 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.643 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.643 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.643 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.643 * [taylor]: Taking taylor expansion of re in re
0.643 * [backup-simplify]: Simplify 0 into 0
0.643 * [backup-simplify]: Simplify 1 into 1
0.643 * [backup-simplify]: Simplify (* 1 1) into 1
0.644 * [backup-simplify]: Simplify (/ 1 1) into 1
0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.644 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.644 * [taylor]: Taking taylor expansion of im in re
0.644 * [backup-simplify]: Simplify im into im
0.644 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.644 * [backup-simplify]: Simplify (+ 1 0) into 1
0.645 * [backup-simplify]: Simplify (sqrt 1) into 1
0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.647 * [backup-simplify]: Simplify (+ 0 0) into 0
0.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.647 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.647 * [taylor]: Taking taylor expansion of re in re
0.647 * [backup-simplify]: Simplify 0 into 0
0.647 * [backup-simplify]: Simplify 1 into 1
0.648 * [backup-simplify]: Simplify (/ 1 1) into 1
0.648 * [backup-simplify]: Simplify (- 1) into -1
0.649 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.650 * [backup-simplify]: Simplify (- 0) into 0
0.650 * [backup-simplify]: Simplify (+ 0 0) into 0
0.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.652 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.653 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.655 * [backup-simplify]: Simplify (- 0) into 0
0.655 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.655 * [backup-simplify]: Simplify (sqrt 0) into 0
0.656 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.656 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
0.656 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.656 * [taylor]: Taking taylor expansion of 2.0 in re
0.656 * [backup-simplify]: Simplify 2.0 into 2.0
0.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.657 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
0.657 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
0.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.658 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.658 * [taylor]: Taking taylor expansion of re in re
0.658 * [backup-simplify]: Simplify 0 into 0
0.658 * [backup-simplify]: Simplify 1 into 1
0.658 * [backup-simplify]: Simplify (* 1 1) into 1
0.658 * [backup-simplify]: Simplify (/ 1 1) into 1
0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.658 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.658 * [taylor]: Taking taylor expansion of im in re
0.659 * [backup-simplify]: Simplify im into im
0.659 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.659 * [backup-simplify]: Simplify (+ 1 0) into 1
0.659 * [backup-simplify]: Simplify (sqrt 1) into 1
0.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.661 * [backup-simplify]: Simplify (+ 0 0) into 0
0.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.662 * [taylor]: Taking taylor expansion of re in re
0.662 * [backup-simplify]: Simplify 0 into 0
0.662 * [backup-simplify]: Simplify 1 into 1
0.662 * [backup-simplify]: Simplify (/ 1 1) into 1
0.663 * [backup-simplify]: Simplify (- 1) into -1
0.663 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.664 * [backup-simplify]: Simplify (- 0) into 0
0.665 * [backup-simplify]: Simplify (+ 0 0) into 0
0.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.667 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.668 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.670 * [backup-simplify]: Simplify (- 0) into 0
0.670 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.670 * [backup-simplify]: Simplify (sqrt 0) into 0
0.671 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.671 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.671 * [taylor]: Taking taylor expansion of 0 in im
0.671 * [backup-simplify]: Simplify 0 into 0
0.672 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.672 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.672 * [taylor]: Taking taylor expansion of +nan.0 in im
0.672 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.672 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.673 * [taylor]: Taking taylor expansion of 2.0 in im
0.673 * [backup-simplify]: Simplify 2.0 into 2.0
0.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.674 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.674 * [taylor]: Taking taylor expansion of im in im
0.674 * [backup-simplify]: Simplify 0 into 0
0.674 * [backup-simplify]: Simplify 1 into 1
0.674 * [backup-simplify]: Simplify (* 1 1) into 1
0.675 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.678 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.678 * [backup-simplify]: Simplify (- 0) into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.678 * [backup-simplify]: Simplify 0 into 0
0.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.681 * [backup-simplify]: Simplify (+ 0 0) into 0
0.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.683 * [backup-simplify]: Simplify (- 0) into 0
0.683 * [backup-simplify]: Simplify (+ 0 0) into 0
0.684 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.686 * [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))))
0.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.686 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.687 * [taylor]: Taking taylor expansion of +nan.0 in im
0.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.687 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.687 * [taylor]: Taking taylor expansion of 2.0 in im
0.687 * [backup-simplify]: Simplify 2.0 into 2.0
0.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.687 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.687 * [taylor]: Taking taylor expansion of im in im
0.687 * [backup-simplify]: Simplify 0 into 0
0.687 * [backup-simplify]: Simplify 1 into 1
0.688 * [backup-simplify]: Simplify (* 1 1) into 1
0.688 * [backup-simplify]: Simplify (* 1 1) into 1
0.689 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.696 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.697 * [backup-simplify]: Simplify (- 0) into 0
0.697 * [backup-simplify]: Simplify 0 into 0
0.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.701 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.701 * [backup-simplify]: Simplify (- 0) into 0
0.701 * [backup-simplify]: Simplify 0 into 0
0.701 * [backup-simplify]: Simplify 0 into 0
0.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.703 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
0.703 * [backup-simplify]: Simplify (+ 0 0) into 0
0.704 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.705 * [backup-simplify]: Simplify (- 0) into 0
0.705 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.706 * [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)))))
0.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.707 * [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))))))
0.707 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.707 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.707 * [taylor]: Taking taylor expansion of +nan.0 in im
0.707 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.707 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.707 * [taylor]: Taking taylor expansion of 2.0 in im
0.707 * [backup-simplify]: Simplify 2.0 into 2.0
0.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.708 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.708 * [taylor]: Taking taylor expansion of im in im
0.708 * [backup-simplify]: Simplify 0 into 0
0.708 * [backup-simplify]: Simplify 1 into 1
0.708 * [backup-simplify]: Simplify (* 1 1) into 1
0.709 * [backup-simplify]: Simplify (* 1 1) into 1
0.709 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.709 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.709 * [taylor]: Taking taylor expansion of +nan.0 in im
0.709 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.709 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.709 * [taylor]: Taking taylor expansion of 2.0 in im
0.709 * [backup-simplify]: Simplify 2.0 into 2.0
0.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.710 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.710 * [taylor]: Taking taylor expansion of im in im
0.710 * [backup-simplify]: Simplify 0 into 0
0.710 * [backup-simplify]: Simplify 1 into 1
0.710 * [backup-simplify]: Simplify (* 1 1) into 1
0.711 * [backup-simplify]: Simplify (* 1 1) into 1
0.711 * [backup-simplify]: Simplify (* 1 1) into 1
0.711 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.712 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.722 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.726 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.751 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.751 * [backup-simplify]: Simplify (- 0) into 0
0.752 * [backup-simplify]: Simplify (+ 0 0) into 0
0.752 * [backup-simplify]: Simplify (- 0) into 0
0.752 * [backup-simplify]: Simplify 0 into 0
0.752 * [backup-simplify]: Simplify 0 into 0
0.752 * * * [progress]: simplifying candidates
0.752 * * * * [progress]: [ 1 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
0.752 * * * * [progress]: [ 2 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
0.752 * * * * [progress]: [ 3 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
0.752 * * * * [progress]: [ 4 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
0.752 * * * * [progress]: [ 5 / 67 ] 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)))))>
0.753 * * * * [progress]: [ 6 / 67 ] 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)))))>
0.753 * * * * [progress]: [ 7 / 67 ] 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)))))>
0.753 * * * * [progress]: [ 8 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.753 * * * * [progress]: [ 9 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
0.753 * * * * [progress]: [ 10 / 67 ] 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)))))>
0.753 * * * * [progress]: [ 11 / 67 ] 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)))))>
0.753 * * * * [progress]: [ 12 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
0.753 * * * * [progress]: [ 13 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
0.753 * * * * [progress]: [ 14 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
0.753 * * * * [progress]: [ 15 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
0.753 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
0.753 * * * * [progress]: [ 17 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
0.753 * * * * [progress]: [ 18 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
0.753 * * * * [progress]: [ 19 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.753 * * * * [progress]: [ 20 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.754 * * * * [progress]: [ 21 / 67 ] 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)))))))>
0.754 * * * * [progress]: [ 22 / 67 ] 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)))))))>
0.754 * * * * [progress]: [ 23 / 67 ] 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)))))))>
0.754 * * * * [progress]: [ 24 / 67 ] 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))))))))>
0.754 * * * * [progress]: [ 25 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.754 * * * * [progress]: [ 26 / 67 ] 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))))))>
0.754 * * * * [progress]: [ 27 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.754 * * * * [progress]: [ 28 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.754 * * * * [progress]: [ 29 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re (sqrt (+ (* re re) (* im im))))))))>
0.754 * * * * [progress]: [ 30 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (log (* (exp (* re re)) (exp (* im im))))) re)))))>
0.754 * * * * [progress]: [ 31 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (pow (+ (* re re) (* im im)) 1)) re)))))>
0.754 * * * * [progress]: [ 32 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))>
0.754 * * * * [progress]: [ 33 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (log (exp (+ (* re re) (* im im))))) re)))))>
0.755 * * * * [progress]: [ 34 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) re)))))>
0.755 * * * * [progress]: [ 35 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (cbrt (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))))) re)))))>
0.755 * * * * [progress]: [ 36 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
0.755 * * * * [progress]: [ 37 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
0.755 * * * * [progress]: [ 38 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (* 1 (+ (* re re) (* im im)))) re)))))>
0.755 * * * * [progress]: [ 39 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)))) re)))))>
0.755 * * * * [progress]: [ 40 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (posit16->real (real->posit16 (+ (* re re) (* im im))))) re)))))>
0.755 * * * * [progress]: [ 41 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))))>
0.755 * * * * [progress]: [ 42 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
0.755 * * * * [progress]: [ 43 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
0.755 * * * * [progress]: [ 44 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.755 * * * * [progress]: [ 45 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.755 * * * * [progress]: [ 46 / 67 ] 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)))))))>
0.755 * * * * [progress]: [ 47 / 67 ] 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)))))))>
0.756 * * * * [progress]: [ 48 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
0.756 * * * * [progress]: [ 49 / 67 ] 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)))))))>
0.756 * * * * [progress]: [ 50 / 67 ] 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)))))>
0.756 * * * * [progress]: [ 51 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.756 * * * * [progress]: [ 52 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
0.756 * * * * [progress]: [ 53 / 67 ] 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)))))))>
0.756 * * * * [progress]: [ 54 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))))>
0.756 * * * * [progress]: [ 55 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
0.756 * * * * [progress]: [ 56 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
0.756 * * * * [progress]: [ 57 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>
0.756 * * * * [progress]: [ 58 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
0.756 * * * * [progress]: [ 59 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
0.756 * * * * [progress]: [ 60 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
0.756 * * * * [progress]: [ 61 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
0.756 * * * * [progress]: [ 62 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.756 * * * * [progress]: [ 63 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.756 * * * * [progress]: [ 64 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (pow im 2) (pow re 2))) re)))))>
0.757 * * * * [progress]: [ 65 / 67 ] 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)))))))))>
0.757 * * * * [progress]: [ 66 / 67 ] 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))))))))))>
0.757 * * * * [progress]: [ 67 / 67 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
0.758 * [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)), (* (exp (* re re)) (exp (* im im))), (log (+ (* re re) (* im im))), (exp (+ (* re re) (* im im))), (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))), (cbrt (+ (* re re) (* im im))), (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (+ (pow (* re re) 3) (pow (* im im) 3)), (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (- (* re re) (* im im)), (real->posit16 (+ (* re re) (* im im))), (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, (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)), (- (+ (* +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
0.760 * * [simplify]: iteration 1: (112 enodes)
0.798 * * [simplify]: iteration 2: (480 enodes)
0.992 * * [simplify]: iteration 3: (1044 enodes)
1.511 * * [simplify]: Extracting #0: cost 59 inf + 0
1.512 * * [simplify]: Extracting #1: cost 255 inf + 47
1.514 * * [simplify]: Extracting #2: cost 579 inf + 2056
1.519 * * [simplify]: Extracting #3: cost 517 inf + 23585
1.540 * * [simplify]: Extracting #4: cost 198 inf + 93750
1.571 * * [simplify]: Extracting #5: cost 25 inf + 143930
1.625 * * [simplify]: Extracting #6: cost 1 inf + 151883
1.664 * * [simplify]: Extracting #7: cost 0 inf + 152286
1.723 * [simplify]: Simplified to (log (sqrt (+ (* im im) (* re re)))), (exp (sqrt (+ (* im im) (* re re)))), (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))), (cbrt (sqrt (+ (* im im) (* re re)))), (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))), (fabs (cbrt (+ (* im im) (* re re)))), (sqrt (cbrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), 1, (sqrt (+ (* im im) (* re re))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))), (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))), (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))), (sqrt (* (- re im) (+ re im))), 1/2, (sqrt (sqrt (+ (* im im) (* re re)))), (sqrt (sqrt (+ (* im im) (* re re)))), (real->posit16 (sqrt (+ (* im im) (* re re)))), (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) (- (* re re) (* re re))), (- (sqrt (+ (* im im) (* re re))) re), (+ (sqrt (+ (* im im) (* re re))) re), (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)), (exp (+ (* im im) (* re re))), (log (+ (* im im) (* re re))), (exp (+ (* im im) (* re re))), (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))), (cbrt (+ (* im im) (* re re))), (* (* (+ (* im im) (* re re)) (+ (* im im) (* re re))) (+ (* im im) (* re re))), (sqrt (+ (* im im) (* re re))), (sqrt (+ (* im im) (* re re))), (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))), (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (* (- re im) (+ re im)), (real->posit16 (+ (* im im) (* re re))), (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))), (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), (sqrt 2.0), (sqrt (+ (sqrt (+ (* im im) (* re re))) re)), (sqrt (* (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) 2.0)), (sqrt (+ (+ (* im im) (* re re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)))), (sqrt (* 2.0 (+ (* im im) (- (* re re) (* re re))))), (sqrt (- (sqrt (+ (* im im) (* re re))) re)), 1/2, 1/2, (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))), im, re, (- re), (+ re im), (* re 2), 0, (+ (* im im) (* re re)), (+ (* im im) (* re re)), (+ (* im im) (* re re)), (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))), (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))) (- (sqrt 2.0)))), 0
1.732 * * * [progress]: adding candidates to table
2.478 * * [progress]: iteration 2 / 4
2.478 * * * [progress]: picking best candidate
2.530 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
2.530 * * * [progress]: localizing error
2.555 * * * [progress]: generating rewritten candidates
2.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1)
2.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1)
2.590 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
2.663 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1 1)
2.676 * * * [progress]: generating series expansions
2.676 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1)
2.676 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
2.676 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
2.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.676 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.676 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.676 * [taylor]: Taking taylor expansion of im in im
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.676 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.677 * [taylor]: Taking taylor expansion of re in im
2.677 * [backup-simplify]: Simplify re into re
2.677 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.677 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.677 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.677 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.677 * [backup-simplify]: Simplify (+ 0 0) into 0
2.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.678 * [taylor]: Taking taylor expansion of im in re
2.678 * [backup-simplify]: Simplify im into im
2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.678 * [taylor]: Taking taylor expansion of re in re
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 1 into 1
2.678 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.678 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.678 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.678 * [backup-simplify]: Simplify (+ 0 0) into 0
2.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.678 * [taylor]: Taking taylor expansion of im in re
2.678 * [backup-simplify]: Simplify im into im
2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.678 * [taylor]: Taking taylor expansion of re in re
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 1 into 1
2.678 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.678 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.678 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.680 * [backup-simplify]: Simplify (+ 0 0) into 0
2.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.681 * [taylor]: Taking taylor expansion of im in im
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [taylor]: Taking taylor expansion of 0 in im
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 0 into 0
2.681 * [backup-simplify]: Simplify 1 into 1
2.681 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.681 * [backup-simplify]: Simplify (* 1 1) into 1
2.682 * [backup-simplify]: Simplify (+ 0 1) into 1
2.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.682 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
2.682 * [taylor]: Taking taylor expansion of 1/2 in im
2.682 * [backup-simplify]: Simplify 1/2 into 1/2
2.682 * [taylor]: Taking taylor expansion of im in im
2.682 * [backup-simplify]: Simplify 0 into 0
2.682 * [backup-simplify]: Simplify 1 into 1
2.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.684 * [backup-simplify]: Simplify (+ 0 0) into 0
2.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.684 * [taylor]: Taking taylor expansion of 0 in im
2.684 * [backup-simplify]: Simplify 0 into 0
2.684 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
2.685 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.685 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.685 * [taylor]: Taking taylor expansion of re in im
2.685 * [backup-simplify]: Simplify re into re
2.685 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.686 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.686 * [taylor]: Taking taylor expansion of im in im
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 1 into 1
2.686 * [backup-simplify]: Simplify (* 1 1) into 1
2.686 * [backup-simplify]: Simplify (/ 1 1) into 1
2.686 * [backup-simplify]: Simplify (+ 0 1) into 1
2.687 * [backup-simplify]: Simplify (sqrt 1) into 1
2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.688 * [backup-simplify]: Simplify (+ 0 0) into 0
2.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.688 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.688 * [taylor]: Taking taylor expansion of re in re
2.688 * [backup-simplify]: Simplify 0 into 0
2.688 * [backup-simplify]: Simplify 1 into 1
2.689 * [backup-simplify]: Simplify (* 1 1) into 1
2.689 * [backup-simplify]: Simplify (/ 1 1) into 1
2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.689 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.689 * [taylor]: Taking taylor expansion of im in re
2.689 * [backup-simplify]: Simplify im into im
2.689 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.689 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.689 * [backup-simplify]: Simplify (+ 1 0) into 1
2.690 * [backup-simplify]: Simplify (sqrt 1) into 1
2.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.691 * [backup-simplify]: Simplify (+ 0 0) into 0
2.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.691 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.691 * [taylor]: Taking taylor expansion of re in re
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (* 1 1) into 1
2.692 * [backup-simplify]: Simplify (/ 1 1) into 1
2.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.692 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.692 * [taylor]: Taking taylor expansion of im in re
2.692 * [backup-simplify]: Simplify im into im
2.692 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.692 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.692 * [backup-simplify]: Simplify (+ 1 0) into 1
2.693 * [backup-simplify]: Simplify (sqrt 1) into 1
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.694 * [backup-simplify]: Simplify (+ 0 0) into 0
2.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.694 * [taylor]: Taking taylor expansion of 1 in im
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [taylor]: Taking taylor expansion of 0 in im
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.695 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.696 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.696 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.696 * [taylor]: Taking taylor expansion of 1/2 in im
2.696 * [backup-simplify]: Simplify 1/2 into 1/2
2.696 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.696 * [taylor]: Taking taylor expansion of im in im
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* 1 1) into 1
2.697 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.700 * [taylor]: Taking taylor expansion of 0 in im
2.700 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
2.702 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
2.702 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
2.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.702 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.702 * [taylor]: Taking taylor expansion of re in im
2.702 * [backup-simplify]: Simplify re into re
2.702 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.702 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.702 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.702 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.702 * [taylor]: Taking taylor expansion of im in im
2.702 * [backup-simplify]: Simplify 0 into 0
2.702 * [backup-simplify]: Simplify 1 into 1
2.702 * [backup-simplify]: Simplify (* 1 1) into 1
2.702 * [backup-simplify]: Simplify (/ 1 1) into 1
2.703 * [backup-simplify]: Simplify (+ 0 1) into 1
2.703 * [backup-simplify]: Simplify (sqrt 1) into 1
2.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.705 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.706 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.706 * [taylor]: Taking taylor expansion of re in re
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [backup-simplify]: Simplify (* 1 1) into 1
2.706 * [backup-simplify]: Simplify (/ 1 1) into 1
2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.707 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.707 * [taylor]: Taking taylor expansion of im in re
2.707 * [backup-simplify]: Simplify im into im
2.707 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.707 * [backup-simplify]: Simplify (+ 1 0) into 1
2.708 * [backup-simplify]: Simplify (sqrt 1) into 1
2.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (+ 0 0) into 0
2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.710 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.710 * [taylor]: Taking taylor expansion of re in re
2.710 * [backup-simplify]: Simplify 0 into 0
2.710 * [backup-simplify]: Simplify 1 into 1
2.711 * [backup-simplify]: Simplify (* 1 1) into 1
2.711 * [backup-simplify]: Simplify (/ 1 1) into 1
2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.711 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.711 * [taylor]: Taking taylor expansion of im in re
2.711 * [backup-simplify]: Simplify im into im
2.711 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.712 * [backup-simplify]: Simplify (+ 1 0) into 1
2.712 * [backup-simplify]: Simplify (sqrt 1) into 1
2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.714 * [backup-simplify]: Simplify (+ 0 0) into 0
2.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.715 * [taylor]: Taking taylor expansion of 1 in im
2.715 * [backup-simplify]: Simplify 1 into 1
2.715 * [taylor]: Taking taylor expansion of 0 in im
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 1 into 1
2.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.717 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.718 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.719 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
2.719 * [taylor]: Taking taylor expansion of 1/2 in im
2.719 * [backup-simplify]: Simplify 1/2 into 1/2
2.719 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.719 * [taylor]: Taking taylor expansion of im in im
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.725 * [backup-simplify]: Simplify (+ 0 0) into 0
2.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.725 * [taylor]: Taking taylor expansion of 0 in im
2.725 * [backup-simplify]: Simplify 0 into 0
2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
2.728 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1)
2.729 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
2.729 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
2.729 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.729 * [taylor]: Taking taylor expansion of re in im
2.729 * [backup-simplify]: Simplify re into re
2.729 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.729 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.729 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.729 * [taylor]: Taking taylor expansion of im in im
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify 1 into 1
2.729 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.729 * [taylor]: Taking taylor expansion of re in im
2.729 * [backup-simplify]: Simplify re into re
2.729 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.729 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.729 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.730 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.730 * [backup-simplify]: Simplify (+ 0 0) into 0
2.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.730 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.730 * [taylor]: Taking taylor expansion of re in re
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.730 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.730 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.730 * [taylor]: Taking taylor expansion of im in re
2.731 * [backup-simplify]: Simplify im into im
2.731 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.731 * [taylor]: Taking taylor expansion of re in re
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.731 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.731 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.731 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.731 * [backup-simplify]: Simplify (+ 0 0) into 0
2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.731 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.731 * [taylor]: Taking taylor expansion of re in re
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.732 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.732 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.732 * [taylor]: Taking taylor expansion of im in re
2.732 * [backup-simplify]: Simplify im into im
2.732 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.732 * [taylor]: Taking taylor expansion of re in re
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.732 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.732 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.732 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.733 * [backup-simplify]: Simplify (+ 0 im) into im
2.733 * [taylor]: Taking taylor expansion of im in im
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify (+ 1 0) into 1
2.733 * [taylor]: Taking taylor expansion of 1 in im
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.734 * [backup-simplify]: Simplify (* 1 1) into 1
2.735 * [backup-simplify]: Simplify (+ 0 1) into 1
2.735 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.736 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.736 * [taylor]: Taking taylor expansion of 1/2 in im
2.736 * [backup-simplify]: Simplify 1/2 into 1/2
2.736 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.736 * [taylor]: Taking taylor expansion of im in im
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 1 into 1
2.736 * [backup-simplify]: Simplify (/ 1 1) into 1
2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.740 * [backup-simplify]: Simplify (+ 0 0) into 0
2.740 * [taylor]: Taking taylor expansion of 0 in im
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.743 * [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)))))
2.743 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.743 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.743 * [taylor]: Taking taylor expansion of re in im
2.743 * [backup-simplify]: Simplify re into re
2.743 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.743 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.743 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.743 * [taylor]: Taking taylor expansion of re in im
2.743 * [backup-simplify]: Simplify re into re
2.743 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.743 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.743 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.743 * [taylor]: Taking taylor expansion of im in im
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (* 1 1) into 1
2.744 * [backup-simplify]: Simplify (/ 1 1) into 1
2.744 * [backup-simplify]: Simplify (+ 0 1) into 1
2.745 * [backup-simplify]: Simplify (sqrt 1) into 1
2.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.747 * [backup-simplify]: Simplify (+ 0 0) into 0
2.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.747 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.747 * [taylor]: Taking taylor expansion of re in re
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (/ 1 1) into 1
2.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.748 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.748 * [taylor]: Taking taylor expansion of re in re
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (* 1 1) into 1
2.749 * [backup-simplify]: Simplify (/ 1 1) into 1
2.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.749 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.749 * [taylor]: Taking taylor expansion of im in re
2.749 * [backup-simplify]: Simplify im into im
2.749 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.749 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.749 * [backup-simplify]: Simplify (+ 1 0) into 1
2.750 * [backup-simplify]: Simplify (sqrt 1) into 1
2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.751 * [backup-simplify]: Simplify (+ 0 0) into 0
2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.752 * [taylor]: Taking taylor expansion of re in re
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (/ 1 1) into 1
2.753 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.753 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.753 * [taylor]: Taking taylor expansion of re in re
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (* 1 1) into 1
2.754 * [backup-simplify]: Simplify (/ 1 1) into 1
2.754 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.754 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.754 * [taylor]: Taking taylor expansion of im in re
2.754 * [backup-simplify]: Simplify im into im
2.754 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.754 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.755 * [backup-simplify]: Simplify (+ 1 0) into 1
2.755 * [backup-simplify]: Simplify (sqrt 1) into 1
2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.757 * [backup-simplify]: Simplify (+ 0 0) into 0
2.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.758 * [backup-simplify]: Simplify (+ 1 1) into 2
2.758 * [taylor]: Taking taylor expansion of 2 in im
2.758 * [backup-simplify]: Simplify 2 into 2
2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.759 * [backup-simplify]: Simplify (+ 0 0) into 0
2.759 * [taylor]: Taking taylor expansion of 0 in im
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify 2 into 2
2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.762 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.762 * [taylor]: Taking taylor expansion of 1/2 in im
2.762 * [backup-simplify]: Simplify 1/2 into 1/2
2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.762 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.762 * [taylor]: Taking taylor expansion of im in im
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 1 into 1
2.762 * [backup-simplify]: Simplify (* 1 1) into 1
2.762 * [backup-simplify]: Simplify (/ 1 1) into 1
2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.766 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.766 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.767 * [backup-simplify]: Simplify (+ 0 0) into 0
2.767 * [taylor]: Taking taylor expansion of 0 in im
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.768 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.769 * [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))
2.769 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
2.769 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.769 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.769 * [taylor]: Taking taylor expansion of re in im
2.769 * [backup-simplify]: Simplify re into re
2.769 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.769 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.769 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.769 * [taylor]: Taking taylor expansion of im in im
2.769 * [backup-simplify]: Simplify 0 into 0
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (* 1 1) into 1
2.770 * [backup-simplify]: Simplify (/ 1 1) into 1
2.770 * [backup-simplify]: Simplify (+ 0 1) into 1
2.770 * [backup-simplify]: Simplify (sqrt 1) into 1
2.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.771 * [backup-simplify]: Simplify (+ 0 0) into 0
2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.772 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.772 * [taylor]: Taking taylor expansion of re in im
2.772 * [backup-simplify]: Simplify re into re
2.772 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.772 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.772 * [taylor]: Taking taylor expansion of re in re
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.772 * [backup-simplify]: Simplify (* 1 1) into 1
2.772 * [backup-simplify]: Simplify (/ 1 1) into 1
2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.772 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.772 * [taylor]: Taking taylor expansion of im in re
2.772 * [backup-simplify]: Simplify im into im
2.773 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.773 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.773 * [backup-simplify]: Simplify (+ 1 0) into 1
2.773 * [backup-simplify]: Simplify (sqrt 1) into 1
2.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.775 * [taylor]: Taking taylor expansion of re in re
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 1 into 1
2.775 * [backup-simplify]: Simplify (/ 1 1) into 1
2.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.775 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.775 * [taylor]: Taking taylor expansion of re in re
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 1 into 1
2.775 * [backup-simplify]: Simplify (* 1 1) into 1
2.776 * [backup-simplify]: Simplify (/ 1 1) into 1
2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.776 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.776 * [taylor]: Taking taylor expansion of im in re
2.776 * [backup-simplify]: Simplify im into im
2.776 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.776 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.776 * [backup-simplify]: Simplify (+ 1 0) into 1
2.776 * [backup-simplify]: Simplify (sqrt 1) into 1
2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (+ 0 0) into 0
2.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.778 * [taylor]: Taking taylor expansion of re in re
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 1 into 1
2.778 * [backup-simplify]: Simplify (/ 1 1) into 1
2.779 * [backup-simplify]: Simplify (- 1) into -1
2.779 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.779 * [taylor]: Taking taylor expansion of 0 in im
2.779 * [backup-simplify]: Simplify 0 into 0
2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify (- 0) into 0
2.780 * [backup-simplify]: Simplify (+ 0 0) into 0
2.780 * [taylor]: Taking taylor expansion of 0 in im
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.781 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.782 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.783 * [backup-simplify]: Simplify (- 0) into 0
2.783 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.783 * [taylor]: Taking taylor expansion of 1/2 in im
2.783 * [backup-simplify]: Simplify 1/2 into 1/2
2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.783 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.783 * [taylor]: Taking taylor expansion of im in im
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 1 into 1
2.783 * [backup-simplify]: Simplify (* 1 1) into 1
2.784 * [backup-simplify]: Simplify (/ 1 1) into 1
2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.786 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.787 * [backup-simplify]: Simplify (+ 0 0) into 0
2.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.789 * [backup-simplify]: Simplify (- 0) into 0
2.789 * [backup-simplify]: Simplify (+ 0 0) into 0
2.789 * [taylor]: Taking taylor expansion of 0 in im
2.789 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * [backup-simplify]: Simplify 0 into 0
2.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
2.793 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))))
2.793 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0
2.793 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im
2.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.793 * [taylor]: Taking taylor expansion of 2.0 in im
2.793 * [backup-simplify]: Simplify 2.0 into 2.0
2.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.794 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im
2.794 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
2.794 * [taylor]: Taking taylor expansion of re in im
2.794 * [backup-simplify]: Simplify re into re
2.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
2.794 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
2.794 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.794 * [taylor]: Taking taylor expansion of im in im
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 1 into 1
2.794 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.794 * [taylor]: Taking taylor expansion of re in im
2.794 * [backup-simplify]: Simplify re into re
2.794 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.795 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
2.795 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.795 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.795 * [backup-simplify]: Simplify (+ 0 0) into 0
2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.795 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
2.795 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
2.796 * [backup-simplify]: Simplify (+ 0 0) into 0
2.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
2.796 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
2.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.796 * [taylor]: Taking taylor expansion of 2.0 in re
2.796 * [backup-simplify]: Simplify 2.0 into 2.0
2.797 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.797 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
2.798 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.798 * [taylor]: Taking taylor expansion of re in re
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 1 into 1
2.798 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.798 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.798 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.798 * [taylor]: Taking taylor expansion of im in re
2.798 * [backup-simplify]: Simplify im into im
2.798 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.798 * [taylor]: Taking taylor expansion of re in re
2.798 * [backup-simplify]: Simplify 0 into 0
2.798 * [backup-simplify]: Simplify 1 into 1
2.798 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.798 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.798 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.798 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.799 * [backup-simplify]: Simplify (+ 0 im) into im
2.799 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.801 * [backup-simplify]: Simplify (+ 1 0) into 1
2.801 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re
2.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.801 * [taylor]: Taking taylor expansion of 2.0 in re
2.801 * [backup-simplify]: Simplify 2.0 into 2.0
2.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.803 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re
2.803 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
2.803 * [taylor]: Taking taylor expansion of re in re
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.803 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
2.803 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
2.803 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.803 * [taylor]: Taking taylor expansion of im in re
2.803 * [backup-simplify]: Simplify im into im
2.803 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.803 * [taylor]: Taking taylor expansion of re in re
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.804 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.804 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
2.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.804 * [backup-simplify]: Simplify (+ 0 0) into 0
2.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.804 * [backup-simplify]: Simplify (+ 0 im) into im
2.804 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.805 * [backup-simplify]: Simplify (+ 1 0) into 1
2.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.805 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
2.805 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
2.805 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.805 * [taylor]: Taking taylor expansion of 2.0 in im
2.805 * [backup-simplify]: Simplify 2.0 into 2.0
2.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.807 * [taylor]: Taking taylor expansion of (sqrt im) in im
2.807 * [taylor]: Taking taylor expansion of im in im
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 1 into 1
2.807 * [backup-simplify]: Simplify (sqrt 0) into 0
2.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.809 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.809 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
2.810 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
2.810 * [taylor]: Taking taylor expansion of 1/2 in im
2.810 * [backup-simplify]: Simplify 1/2 into 1/2
2.810 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
2.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.810 * [taylor]: Taking taylor expansion of 2.0 in im
2.810 * [backup-simplify]: Simplify 2.0 into 2.0
2.810 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
2.811 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.811 * [taylor]: Taking taylor expansion of im in im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (/ 1 1) into 1
2.812 * [backup-simplify]: Simplify (sqrt 0) into 0
2.813 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.815 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.816 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.819 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.821 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.823 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.824 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.825 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.825 * [backup-simplify]: Simplify (* 1 1) into 1
2.825 * [backup-simplify]: Simplify (+ 0 1) into 1
2.826 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.826 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
2.827 * [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))))
2.828 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.829 * [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)))))
2.829 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
2.829 * [taylor]: Taking taylor expansion of 1/8 in im
2.829 * [backup-simplify]: Simplify 1/8 into 1/8
2.829 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
2.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.829 * [taylor]: Taking taylor expansion of 2.0 in im
2.829 * [backup-simplify]: Simplify 2.0 into 2.0
2.829 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
2.830 * [taylor]: Taking taylor expansion of (pow im 3) in im
2.830 * [taylor]: Taking taylor expansion of im in im
2.830 * [backup-simplify]: Simplify 0 into 0
2.830 * [backup-simplify]: Simplify 1 into 1
2.831 * [backup-simplify]: Simplify (* 1 1) into 1
2.831 * [backup-simplify]: Simplify (* 1 1) into 1
2.831 * [backup-simplify]: Simplify (/ 1 1) into 1
2.832 * [backup-simplify]: Simplify (sqrt 0) into 0
2.833 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.838 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.839 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.842 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.844 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.844 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.849 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.850 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.855 * [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)))))))
2.856 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))
2.856 * [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
2.856 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im
2.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.856 * [taylor]: Taking taylor expansion of 2.0 in im
2.856 * [backup-simplify]: Simplify 2.0 into 2.0
2.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im
2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
2.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.857 * [taylor]: Taking taylor expansion of re in im
2.857 * [backup-simplify]: Simplify re into re
2.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.858 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.858 * [taylor]: Taking taylor expansion of re in im
2.858 * [backup-simplify]: Simplify re into re
2.858 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.858 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.858 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.858 * [taylor]: Taking taylor expansion of im in im
2.858 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (* 1 1) into 1
2.859 * [backup-simplify]: Simplify (/ 1 1) into 1
2.859 * [backup-simplify]: Simplify (+ 0 1) into 1
2.859 * [backup-simplify]: Simplify (sqrt 1) into 1
2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ 0 0) into 0
2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.862 * [backup-simplify]: Simplify (+ 0 1) into 1
2.863 * [backup-simplify]: Simplify (sqrt 0) into 0
2.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.864 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
2.864 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.864 * [taylor]: Taking taylor expansion of 2.0 in re
2.864 * [backup-simplify]: Simplify 2.0 into 2.0
2.865 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.866 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.866 * [taylor]: Taking taylor expansion of re in re
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 1 into 1
2.866 * [backup-simplify]: Simplify (/ 1 1) into 1
2.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.866 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.866 * [taylor]: Taking taylor expansion of re in re
2.866 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 1 into 1
2.866 * [backup-simplify]: Simplify (* 1 1) into 1
2.867 * [backup-simplify]: Simplify (/ 1 1) into 1
2.867 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.867 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.867 * [taylor]: Taking taylor expansion of im in re
2.867 * [backup-simplify]: Simplify im into im
2.867 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.867 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.868 * [backup-simplify]: Simplify (+ 1 0) into 1
2.868 * [backup-simplify]: Simplify (sqrt 1) into 1
2.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.871 * [backup-simplify]: Simplify (+ 1 1) into 2
2.871 * [backup-simplify]: Simplify (sqrt 0) into 0
2.872 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.872 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re
2.873 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.873 * [taylor]: Taking taylor expansion of 2.0 in re
2.873 * [backup-simplify]: Simplify 2.0 into 2.0
2.873 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re
2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
2.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.874 * [taylor]: Taking taylor expansion of re in re
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (/ 1 1) into 1
2.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.874 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.874 * [taylor]: Taking taylor expansion of re in re
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.875 * [backup-simplify]: Simplify (* 1 1) into 1
2.875 * [backup-simplify]: Simplify (/ 1 1) into 1
2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.875 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.875 * [taylor]: Taking taylor expansion of im in re
2.875 * [backup-simplify]: Simplify im into im
2.875 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.876 * [backup-simplify]: Simplify (+ 1 0) into 1
2.876 * [backup-simplify]: Simplify (sqrt 1) into 1
2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.878 * [backup-simplify]: Simplify (+ 0 0) into 0
2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.880 * [backup-simplify]: Simplify (+ 1 1) into 2
2.880 * [backup-simplify]: Simplify (sqrt 0) into 0
2.881 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.882 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.882 * [taylor]: Taking taylor expansion of 0 in im
2.882 * [backup-simplify]: Simplify 0 into 0
2.884 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.884 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.884 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.884 * [taylor]: Taking taylor expansion of +nan.0 in im
2.884 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.884 * [taylor]: Taking taylor expansion of 2.0 in im
2.884 * [backup-simplify]: Simplify 2.0 into 2.0
2.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.887 * [backup-simplify]: Simplify (+ 0 0) into 0
2.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.894 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.894 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.894 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.894 * [taylor]: Taking taylor expansion of +nan.0 in im
2.894 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.895 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.895 * [taylor]: Taking taylor expansion of 2.0 in im
2.895 * [backup-simplify]: Simplify 2.0 into 2.0
2.895 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.897 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.898 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.900 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.900 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.902 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.904 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.906 * [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))
2.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.909 * [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))))))
2.909 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
2.909 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
2.909 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.909 * [taylor]: Taking taylor expansion of +nan.0 in im
2.909 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.909 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.909 * [taylor]: Taking taylor expansion of 2.0 in im
2.909 * [backup-simplify]: Simplify 2.0 into 2.0
2.909 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.910 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.910 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.910 * [taylor]: Taking taylor expansion of +nan.0 in im
2.910 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.910 * [taylor]: Taking taylor expansion of 2.0 in im
2.910 * [backup-simplify]: Simplify 2.0 into 2.0
2.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.911 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.911 * [taylor]: Taking taylor expansion of im in im
2.911 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify 1 into 1
2.912 * [backup-simplify]: Simplify (* 1 1) into 1
2.913 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.915 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.916 * [backup-simplify]: Simplify (- 0) into 0
2.916 * [backup-simplify]: Simplify (+ 0 0) into 0
2.916 * [backup-simplify]: Simplify (- 0) into 0
2.916 * [backup-simplify]: Simplify 0 into 0
2.917 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.920 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.921 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.922 * [backup-simplify]: Simplify (- 0) into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.925 * [backup-simplify]: Simplify (+ 0 0) into 0
2.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.926 * [backup-simplify]: Simplify (+ 0 0) into 0
2.928 * [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)))
2.929 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.931 * [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))))))
2.931 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
2.931 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
2.931 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.931 * [taylor]: Taking taylor expansion of +nan.0 in im
2.931 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.931 * [taylor]: Taking taylor expansion of 2.0 in im
2.931 * [backup-simplify]: Simplify 2.0 into 2.0
2.932 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.932 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.932 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.932 * [taylor]: Taking taylor expansion of +nan.0 in im
2.932 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.932 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.933 * [taylor]: Taking taylor expansion of 2.0 in im
2.933 * [backup-simplify]: Simplify 2.0 into 2.0
2.933 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.934 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.934 * [taylor]: Taking taylor expansion of im in im
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 1 into 1
2.934 * [backup-simplify]: Simplify (* 1 1) into 1
2.935 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.938 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.938 * [backup-simplify]: Simplify (- 0) into 0
2.938 * [backup-simplify]: Simplify (+ 0 0) into 0
2.939 * [backup-simplify]: Simplify (- 0) into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.946 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
2.947 * [backup-simplify]: Simplify (- 0) into 0
2.948 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
2.951 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
2.952 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.957 * [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))))))))
2.958 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))
2.958 * [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
2.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im
2.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.958 * [taylor]: Taking taylor expansion of 2.0 in im
2.958 * [backup-simplify]: Simplify 2.0 into 2.0
2.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.959 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im
2.959 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
2.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
2.959 * [taylor]: Taking taylor expansion of (pow re 2) in im
2.959 * [taylor]: Taking taylor expansion of re in im
2.959 * [backup-simplify]: Simplify re into re
2.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.959 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.959 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.959 * [taylor]: Taking taylor expansion of im in im
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.960 * [backup-simplify]: Simplify (* 1 1) into 1
2.960 * [backup-simplify]: Simplify (/ 1 1) into 1
2.961 * [backup-simplify]: Simplify (+ 0 1) into 1
2.961 * [backup-simplify]: Simplify (sqrt 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.963 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.963 * [taylor]: Taking taylor expansion of re in im
2.963 * [backup-simplify]: Simplify re into re
2.963 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.963 * [backup-simplify]: Simplify (+ 1 0) into 1
2.964 * [backup-simplify]: Simplify (sqrt 0) into 0
2.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.965 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
2.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.965 * [taylor]: Taking taylor expansion of 2.0 in re
2.965 * [backup-simplify]: Simplify 2.0 into 2.0
2.965 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.965 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
2.965 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.965 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.965 * [taylor]: Taking taylor expansion of re in re
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 1 into 1
2.966 * [backup-simplify]: Simplify (* 1 1) into 1
2.966 * [backup-simplify]: Simplify (/ 1 1) into 1
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.966 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.966 * [taylor]: Taking taylor expansion of im in re
2.966 * [backup-simplify]: Simplify im into im
2.966 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.966 * [backup-simplify]: Simplify (+ 1 0) into 1
2.967 * [backup-simplify]: Simplify (sqrt 1) into 1
2.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.968 * [backup-simplify]: Simplify (+ 0 0) into 0
2.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.968 * [taylor]: Taking taylor expansion of re in re
2.968 * [backup-simplify]: Simplify 0 into 0
2.968 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (/ 1 1) into 1
2.969 * [backup-simplify]: Simplify (- 1) into -1
2.969 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.970 * [backup-simplify]: Simplify (- 0) into 0
2.970 * [backup-simplify]: Simplify (+ 0 0) into 0
2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify (- 0) into 0
2.973 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.973 * [backup-simplify]: Simplify (sqrt 0) into 0
2.974 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.974 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re
2.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.974 * [taylor]: Taking taylor expansion of 2.0 in re
2.974 * [backup-simplify]: Simplify 2.0 into 2.0
2.974 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.974 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re
2.974 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
2.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
2.974 * [taylor]: Taking taylor expansion of (pow re 2) in re
2.974 * [taylor]: Taking taylor expansion of re in re
2.975 * [backup-simplify]: Simplify 0 into 0
2.975 * [backup-simplify]: Simplify 1 into 1
2.975 * [backup-simplify]: Simplify (* 1 1) into 1
2.975 * [backup-simplify]: Simplify (/ 1 1) into 1
2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
2.975 * [taylor]: Taking taylor expansion of (pow im 2) in re
2.975 * [taylor]: Taking taylor expansion of im in re
2.975 * [backup-simplify]: Simplify im into im
2.975 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.975 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
2.975 * [backup-simplify]: Simplify (+ 1 0) into 1
2.976 * [backup-simplify]: Simplify (sqrt 1) into 1
2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.977 * [backup-simplify]: Simplify (+ 0 0) into 0
2.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.977 * [taylor]: Taking taylor expansion of re in re
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.978 * [backup-simplify]: Simplify (/ 1 1) into 1
2.978 * [backup-simplify]: Simplify (- 1) into -1
2.978 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.979 * [backup-simplify]: Simplify (- 0) into 0
2.979 * [backup-simplify]: Simplify (+ 0 0) into 0
2.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.980 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.981 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.982 * [backup-simplify]: Simplify (- 0) into 0
2.982 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.982 * [backup-simplify]: Simplify (sqrt 0) into 0
2.983 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
2.983 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.983 * [taylor]: Taking taylor expansion of 0 in im
2.983 * [backup-simplify]: Simplify 0 into 0
2.984 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
2.984 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.984 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.984 * [taylor]: Taking taylor expansion of +nan.0 in im
2.984 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.984 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.984 * [taylor]: Taking taylor expansion of 2.0 in im
2.984 * [backup-simplify]: Simplify 2.0 into 2.0
2.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.985 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.985 * [taylor]: Taking taylor expansion of im in im
2.985 * [backup-simplify]: Simplify 0 into 0
2.985 * [backup-simplify]: Simplify 1 into 1
2.985 * [backup-simplify]: Simplify (* 1 1) into 1
2.985 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.987 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.987 * [backup-simplify]: Simplify (- 0) into 0
2.987 * [backup-simplify]: Simplify 0 into 0
2.987 * [backup-simplify]: Simplify 0 into 0
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.990 * [backup-simplify]: Simplify (- 0) into 0
2.990 * [backup-simplify]: Simplify (+ 0 0) into 0
2.991 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
2.992 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.993 * [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))))
2.993 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
2.994 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
2.994 * [taylor]: Taking taylor expansion of +nan.0 in im
2.994 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.994 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
2.994 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.994 * [taylor]: Taking taylor expansion of 2.0 in im
2.994 * [backup-simplify]: Simplify 2.0 into 2.0
2.994 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.995 * [taylor]: Taking taylor expansion of (pow im 4) in im
2.995 * [taylor]: Taking taylor expansion of im in im
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.995 * [backup-simplify]: Simplify (* 1 1) into 1
2.996 * [backup-simplify]: Simplify (* 1 1) into 1
2.997 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
2.998 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.009 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.009 * [backup-simplify]: Simplify (- 0) into 0
3.009 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.012 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.012 * [backup-simplify]: Simplify (- 0) into 0
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.014 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.014 * [backup-simplify]: Simplify (+ 0 0) into 0
3.015 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.016 * [backup-simplify]: Simplify (- 0) into 0
3.016 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.016 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))
3.017 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.018 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.018 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.018 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.018 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.018 * [taylor]: Taking taylor expansion of +nan.0 in im
3.018 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.018 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.018 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.018 * [taylor]: Taking taylor expansion of 2.0 in im
3.018 * [backup-simplify]: Simplify 2.0 into 2.0
3.018 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.019 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.019 * [taylor]: Taking taylor expansion of im in im
3.019 * [backup-simplify]: Simplify 0 into 0
3.019 * [backup-simplify]: Simplify 1 into 1
3.019 * [backup-simplify]: Simplify (* 1 1) into 1
3.019 * [backup-simplify]: Simplify (* 1 1) into 1
3.020 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.020 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.020 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.020 * [taylor]: Taking taylor expansion of +nan.0 in im
3.020 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.020 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.020 * [taylor]: Taking taylor expansion of 2.0 in im
3.020 * [backup-simplify]: Simplify 2.0 into 2.0
3.020 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.021 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.021 * [taylor]: Taking taylor expansion of im in im
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [backup-simplify]: Simplify (* 1 1) into 1
3.021 * [backup-simplify]: Simplify (* 1 1) into 1
3.022 * [backup-simplify]: Simplify (* 1 1) into 1
3.022 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.024 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.030 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.031 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.032 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.058 * [backup-simplify]: Simplify (- 0) into 0
3.059 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (- 0) into 0
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1 1)
3.059 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
3.060 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
3.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.060 * [taylor]: Taking taylor expansion of im in im
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 1 into 1
3.060 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.060 * [taylor]: Taking taylor expansion of re in im
3.060 * [backup-simplify]: Simplify re into re
3.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.060 * [taylor]: Taking taylor expansion of im in re
3.060 * [backup-simplify]: Simplify im into im
3.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.060 * [taylor]: Taking taylor expansion of re in re
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 1 into 1
3.060 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.060 * [taylor]: Taking taylor expansion of im in re
3.060 * [backup-simplify]: Simplify im into im
3.060 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.060 * [taylor]: Taking taylor expansion of re in re
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 1 into 1
3.060 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.060 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.060 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.060 * [taylor]: Taking taylor expansion of im in im
3.060 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify 1 into 1
3.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.061 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [taylor]: Taking taylor expansion of 0 in im
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.062 * [backup-simplify]: Simplify (* 1 1) into 1
3.062 * [backup-simplify]: Simplify (+ 0 1) into 1
3.062 * [taylor]: Taking taylor expansion of 1 in im
3.062 * [backup-simplify]: Simplify 1 into 1
3.063 * [backup-simplify]: Simplify 1 into 1
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify (* 1 1) into 1
3.063 * [backup-simplify]: Simplify 1 into 1
3.064 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.065 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [taylor]: Taking taylor expansion of 0 in im
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 0 into 0
3.065 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.066 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.068 * [backup-simplify]: Simplify (+ 0 0) into 0
3.068 * [taylor]: Taking taylor expansion of 0 in im
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
3.069 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
3.069 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
3.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.069 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.069 * [taylor]: Taking taylor expansion of re in im
3.069 * [backup-simplify]: Simplify re into re
3.069 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.069 * [taylor]: Taking taylor expansion of im in im
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (* 1 1) into 1
3.070 * [backup-simplify]: Simplify (/ 1 1) into 1
3.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.070 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.070 * [taylor]: Taking taylor expansion of re in re
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 1 into 1
3.070 * [backup-simplify]: Simplify (* 1 1) into 1
3.071 * [backup-simplify]: Simplify (/ 1 1) into 1
3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.071 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.071 * [taylor]: Taking taylor expansion of im in re
3.071 * [backup-simplify]: Simplify im into im
3.071 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.071 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.071 * [taylor]: Taking taylor expansion of re in re
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 1 into 1
3.072 * [backup-simplify]: Simplify (* 1 1) into 1
3.072 * [backup-simplify]: Simplify (/ 1 1) into 1
3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.072 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.072 * [taylor]: Taking taylor expansion of im in re
3.072 * [backup-simplify]: Simplify im into im
3.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.072 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.073 * [backup-simplify]: Simplify (+ 1 0) into 1
3.073 * [taylor]: Taking taylor expansion of 1 in im
3.073 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.075 * [backup-simplify]: Simplify (+ 0 0) into 0
3.075 * [taylor]: Taking taylor expansion of 0 in im
3.075 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.077 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.077 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.077 * [taylor]: Taking taylor expansion of im in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [backup-simplify]: Simplify (* 1 1) into 1
3.077 * [backup-simplify]: Simplify (/ 1 1) into 1
3.077 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.080 * [backup-simplify]: Simplify (+ 0 0) into 0
3.080 * [taylor]: Taking taylor expansion of 0 in im
3.080 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.085 * [backup-simplify]: Simplify (+ 0 0) into 0
3.085 * [taylor]: Taking taylor expansion of 0 in im
3.085 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
3.088 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
3.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.088 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.088 * [taylor]: Taking taylor expansion of re in im
3.088 * [backup-simplify]: Simplify re into re
3.088 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.088 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.088 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.088 * [taylor]: Taking taylor expansion of im in im
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 1 into 1
3.089 * [backup-simplify]: Simplify (* 1 1) into 1
3.089 * [backup-simplify]: Simplify (/ 1 1) into 1
3.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.089 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.089 * [taylor]: Taking taylor expansion of re in re
3.089 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (* 1 1) into 1
3.090 * [backup-simplify]: Simplify (/ 1 1) into 1
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.090 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.090 * [taylor]: Taking taylor expansion of im in re
3.090 * [backup-simplify]: Simplify im into im
3.090 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.090 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.090 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.090 * [taylor]: Taking taylor expansion of re in re
3.091 * [backup-simplify]: Simplify 0 into 0
3.091 * [backup-simplify]: Simplify 1 into 1
3.091 * [backup-simplify]: Simplify (* 1 1) into 1
3.091 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.091 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.091 * [taylor]: Taking taylor expansion of im in re
3.091 * [backup-simplify]: Simplify im into im
3.091 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.092 * [backup-simplify]: Simplify (+ 1 0) into 1
3.092 * [taylor]: Taking taylor expansion of 1 in im
3.092 * [backup-simplify]: Simplify 1 into 1
3.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.094 * [taylor]: Taking taylor expansion of 0 in im
3.094 * [backup-simplify]: Simplify 0 into 0
3.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.096 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.096 * [taylor]: Taking taylor expansion of im in im
3.096 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify 1 into 1
3.097 * [backup-simplify]: Simplify (* 1 1) into 1
3.097 * [backup-simplify]: Simplify (/ 1 1) into 1
3.097 * [backup-simplify]: Simplify 1 into 1
3.097 * [backup-simplify]: Simplify 1 into 1
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.100 * [backup-simplify]: Simplify (+ 0 0) into 0
3.100 * [taylor]: Taking taylor expansion of 0 in im
3.100 * [backup-simplify]: Simplify 0 into 0
3.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.104 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.105 * [backup-simplify]: Simplify (+ 0 0) into 0
3.105 * [taylor]: Taking taylor expansion of 0 in im
3.105 * [backup-simplify]: Simplify 0 into 0
3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
3.107 * * * [progress]: simplifying candidates
3.107 * * * * [progress]: [ 1 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (pow (+ (* re re) (* im im)) 1/2) re)))))>
3.107 * * * * [progress]: [ 2 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))>
3.107 * * * * [progress]: [ 3 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))>
3.107 * * * * [progress]: [ 4 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 5 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 6 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 7 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 8 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 9 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))>
3.108 * * * * [progress]: [ 10 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
3.108 * * * * [progress]: [ 11 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))>
3.108 * * * * [progress]: [ 12 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))>
3.108 * * * * [progress]: [ 13 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 14 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))>
3.108 * * * * [progress]: [ 15 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))>
3.108 * * * * [progress]: [ 16 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))>
3.108 * * * * [progress]: [ 17 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))>
3.108 * * * * [progress]: [ 18 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))>
3.108 * * * * [progress]: [ 19 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.109 * * * * [progress]: [ 20 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.109 * * * * [progress]: [ 21 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.109 * * * * [progress]: [ 22 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.109 * * * * [progress]: [ 23 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.109 * * * * [progress]: [ 24 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))))>
3.109 * * * * [progress]: [ 25 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.109 * * * * [progress]: [ 26 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))))))>
3.109 * * * * [progress]: [ 27 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.109 * * * * [progress]: [ 28 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.109 * * * * [progress]: [ 29 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (* re re) (* im im))))))))>
3.109 * * * * [progress]: [ 30 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 1/2)))>
3.109 * * * * [progress]: [ 31 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
3.109 * * * * [progress]: [ 32 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2))))>
3.110 * * * * [progress]: [ 33 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)))>
3.110 * * * * [progress]: [ 34 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 35 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (exp (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 36 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (log (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 37 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 38 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 39 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 40 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.110 * * * * [progress]: [ 41 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 42 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.110 * * * * [progress]: [ 43 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.110 * * * * [progress]: [ 44 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.111 * * * * [progress]: [ 45 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.111 * * * * [progress]: [ 46 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.111 * * * * [progress]: [ 47 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 48 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 49 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 50 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.111 * * * * [progress]: [ 51 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt 1)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.111 * * * * [progress]: [ 52 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 53 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (sqrt 2.0) 1) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))>
3.111 * * * * [progress]: [ 54 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 55 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (* (cbrt 2.0) (cbrt 2.0))) (* (sqrt (cbrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 56 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 57 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 1) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 58 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.111 * * * * [progress]: [ 59 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* 1 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))>
3.112 * * * * [progress]: [ 60 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))))))>
3.112 * * * * [progress]: [ 61 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))>
3.112 * * * * [progress]: [ 62 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (posit16->real (real->posit16 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
3.112 * * * * [progress]: [ 63 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))))>
3.112 * * * * [progress]: [ 64 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (log (* (exp (* re re)) (exp (* im im))))) re)))))>
3.112 * * * * [progress]: [ 65 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (pow (+ (* re re) (* im im)) 1)) re)))))>
3.112 * * * * [progress]: [ 66 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (exp (log (+ (* re re) (* im im))))) re)))))>
3.112 * * * * [progress]: [ 67 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (log (exp (+ (* re re) (* im im))))) re)))))>
3.112 * * * * [progress]: [ 68 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))))) re)))))>
3.112 * * * * [progress]: [ 69 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (cbrt (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))))) re)))))>
3.112 * * * * [progress]: [ 70 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) re)))))>
3.112 * * * * [progress]: [ 71 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (/ (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))>
3.112 * * * * [progress]: [ 72 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (* 1 (+ (* re re) (* im im)))) re)))))>
3.112 * * * * [progress]: [ 73 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (/ (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)))) re)))))>
3.112 * * * * [progress]: [ 74 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (posit16->real (real->posit16 (+ (* re re) (* im im))))) re)))))>
3.113 * * * * [progress]: [ 75 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)))))>
3.113 * * * * [progress]: [ 76 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ im re)))))>
3.113 * * * * [progress]: [ 77 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))>
3.113 * * * * [progress]: [ 78 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (* -1 re) re)))))>
3.113 * * * * [progress]: [ 79 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re im)))))>
3.113 * * * * [progress]: [ 80 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* 2 re)))))>
3.113 * * * * [progress]: [ 81 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt 0))))>
3.113 * * * * [progress]: [ 82 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))))>
3.113 * * * * [progress]: [ 83 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))))>
3.113 * * * * [progress]: [ 84 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 0))>
3.113 * * * * [progress]: [ 85 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (pow im 2) (pow re 2))) re)))))>
3.113 * * * * [progress]: [ 86 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (pow im 2) (pow re 2))) re)))))>
3.113 * * * * [progress]: [ 87 / 87 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (pow im 2) (pow re 2))) re)))))>
3.115 * [simplify]: Simplifying (log (sqrt (+ (* re re) (* im im)))), (exp (sqrt (+ (* re re) (* im im)))), (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))), (cbrt (sqrt (+ (* re re) (* im im)))), (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))), (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt 1), (sqrt (+ (* re re) (* im im))), (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))), (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))), (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))), (sqrt (- (* re re) (* im im))), (/ 1 2), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (real->posit16 (sqrt (+ (* re re) (* im im)))), (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)), (log (+ (sqrt (+ (* re re) (* im im))) re)), (exp (+ (sqrt (+ (* re re) (* im im))) re)), (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))), (cbrt (+ (sqrt (+ (* re re) (* im im))) re)), (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)), (sqrt (+ (sqrt (+ (* re re) (* im im))) re)), (sqrt (+ (sqrt (+ (* re re) (* im im))) re)), (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)), (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))), (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)), (- (sqrt (+ (* re re) (* im im))) re), (+ (sqrt (+ (* re re) (* im im))) re), (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)), (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)), (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)), (+ (log (sqrt 2.0)) (log (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (log (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (exp (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))), (cbrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (* (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)), (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (sqrt (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt 2.0) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))), (* (sqrt 2.0) (sqrt (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))), (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt 2.0) (sqrt 1)), (* (sqrt 2.0) (sqrt 1)), (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt 2.0) 1), (* (cbrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt (cbrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt 2.0) (sqrt (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))), (* (sqrt 2.0) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))), (real->posit16 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (exp (* re re)) (exp (* im im))), (log (+ (* re re) (* im im))), (exp (+ (* re re) (* im im))), (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))), (cbrt (+ (* re re) (* im im))), (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (+ (pow (* re re) 3) (pow (* im im) 3)), (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (- (* re re) (* im im)), (real->posit16 (+ (* re re) (* im im))), 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, (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2)), (+ (pow im 2) (pow re 2))
3.117 * * [simplify]: iteration 1: (135 enodes)
3.191 * * [simplify]: iteration 2: (576 enodes)
3.368 * * [simplify]: iteration 3: (1261 enodes)
3.917 * * [simplify]: Extracting #0: cost 66 inf + 0
3.918 * * [simplify]: Extracting #1: cost 313 inf + 5
3.923 * * [simplify]: Extracting #2: cost 701 inf + 1692
3.936 * * [simplify]: Extracting #3: cost 618 inf + 29124
3.959 * * [simplify]: Extracting #4: cost 369 inf + 74452
3.985 * * [simplify]: Extracting #5: cost 172 inf + 130702
4.054 * * [simplify]: Extracting #6: cost 14 inf + 184486
4.111 * * [simplify]: Extracting #7: cost 0 inf + 190107
4.178 * [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) (* 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 (+ (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)), (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))), (- (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)), (+ (- (* re re) (* re re)) (* im im)), (- (sqrt (+ (* re re) (* im im))) re), (+ (sqrt (+ (* re re) (* im im))) re), (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)), (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)), (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)), (log (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (log (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (exp (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (sqrt 2.0)))), (* (cbrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)))), (cbrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (sqrt 2.0)))), (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)), (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (sqrt 2.0))), (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt 2.0))), (* (sqrt 2.0) (fabs (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))), (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (sqrt 2.0), (sqrt 2.0), (* (sqrt 2.0) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))), (sqrt 2.0), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt 2.0))), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt 2.0))), (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)), (* (sqrt (sqrt 2.0)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))), (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0)), (* (sqrt 2.0) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))))), (* (sqrt 2.0) (sqrt (+ (- (* re re) (* re re)) (* im im)))), (real->posit16 (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt 2.0))), (exp (+ (* re re) (* im im))), (log (+ (* re re) (* im im))), (exp (+ (* re re) (* im im))), (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))), (cbrt (+ (* re re) (* im im))), (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (sqrt (+ (* re re) (* im im))), (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im))), (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re))), (- (* (* re re) (* re re)) (* (* im im) (* im im))), (* (+ re im) (- re im)), (real->posit16 (+ (* re re) (* im im))), im, re, (- re), (+ re im), (* re 2), 0, (* +nan.0 (+ (* (* re (sqrt 2.0)) (- re)) (* (sqrt 2.0) (- im re)))), (- (* +nan.0 (- (sqrt 2.0) (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re))))), 0, (+ (* re re) (* im im)), (+ (* re re) (* im im)), (+ (* re re) (* im im))
4.184 * * * [progress]: adding candidates to table
5.240 * * [progress]: iteration 3 / 4
5.240 * * * [progress]: picking best candidate
5.276 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.276 * * * [progress]: localizing error
5.310 * * * [progress]: generating rewritten candidates
5.310 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1 1)
5.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1 1)
5.322 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1 1)
5.340 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1)
5.368 * * * [progress]: generating series expansions
5.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1 1)
5.368 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.368 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.369 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.369 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.369 * [taylor]: Taking taylor expansion of im in im
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 1 into 1
5.369 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.369 * [taylor]: Taking taylor expansion of re in im
5.369 * [backup-simplify]: Simplify re into re
5.369 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.369 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.369 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.369 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.370 * [backup-simplify]: Simplify (+ 0 0) into 0
5.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.370 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.370 * [taylor]: Taking taylor expansion of im in re
5.370 * [backup-simplify]: Simplify im into im
5.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.370 * [taylor]: Taking taylor expansion of re in re
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 1 into 1
5.370 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.370 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.370 * [backup-simplify]: Simplify (+ 0 0) into 0
5.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.370 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.370 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.370 * [taylor]: Taking taylor expansion of im in re
5.370 * [backup-simplify]: Simplify im into im
5.370 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.370 * [taylor]: Taking taylor expansion of re in re
5.370 * [backup-simplify]: Simplify 0 into 0
5.370 * [backup-simplify]: Simplify 1 into 1
5.371 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.371 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.371 * [backup-simplify]: Simplify (+ 0 0) into 0
5.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.371 * [taylor]: Taking taylor expansion of im in im
5.371 * [backup-simplify]: Simplify 0 into 0
5.371 * [backup-simplify]: Simplify 1 into 1
5.371 * [backup-simplify]: Simplify 0 into 0
5.371 * [taylor]: Taking taylor expansion of 0 in im
5.371 * [backup-simplify]: Simplify 0 into 0
5.371 * [backup-simplify]: Simplify 0 into 0
5.371 * [backup-simplify]: Simplify 1 into 1
5.372 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.372 * [backup-simplify]: Simplify (* 1 1) into 1
5.372 * [backup-simplify]: Simplify (+ 0 1) into 1
5.373 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.373 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.373 * [taylor]: Taking taylor expansion of 1/2 in im
5.373 * [backup-simplify]: Simplify 1/2 into 1/2
5.373 * [taylor]: Taking taylor expansion of im in im
5.373 * [backup-simplify]: Simplify 0 into 0
5.373 * [backup-simplify]: Simplify 1 into 1
5.373 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.375 * [backup-simplify]: Simplify (+ 0 0) into 0
5.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.375 * [taylor]: Taking taylor expansion of 0 in im
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.376 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.376 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.376 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.376 * [taylor]: Taking taylor expansion of re in im
5.376 * [backup-simplify]: Simplify re into re
5.376 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.376 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.376 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.376 * [taylor]: Taking taylor expansion of im in im
5.376 * [backup-simplify]: Simplify 0 into 0
5.376 * [backup-simplify]: Simplify 1 into 1
5.376 * [backup-simplify]: Simplify (* 1 1) into 1
5.377 * [backup-simplify]: Simplify (/ 1 1) into 1
5.377 * [backup-simplify]: Simplify (+ 0 1) into 1
5.377 * [backup-simplify]: Simplify (sqrt 1) into 1
5.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.378 * [backup-simplify]: Simplify (+ 0 0) into 0
5.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.379 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.379 * [taylor]: Taking taylor expansion of re in re
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [backup-simplify]: Simplify 1 into 1
5.379 * [backup-simplify]: Simplify (* 1 1) into 1
5.379 * [backup-simplify]: Simplify (/ 1 1) into 1
5.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.379 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.379 * [taylor]: Taking taylor expansion of im in re
5.379 * [backup-simplify]: Simplify im into im
5.380 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.380 * [backup-simplify]: Simplify (+ 1 0) into 1
5.380 * [backup-simplify]: Simplify (sqrt 1) into 1
5.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.381 * [backup-simplify]: Simplify (+ 0 0) into 0
5.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.382 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.382 * [taylor]: Taking taylor expansion of re in re
5.382 * [backup-simplify]: Simplify 0 into 0
5.382 * [backup-simplify]: Simplify 1 into 1
5.382 * [backup-simplify]: Simplify (* 1 1) into 1
5.382 * [backup-simplify]: Simplify (/ 1 1) into 1
5.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.382 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.382 * [taylor]: Taking taylor expansion of im in re
5.382 * [backup-simplify]: Simplify im into im
5.383 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.383 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.383 * [backup-simplify]: Simplify (+ 1 0) into 1
5.383 * [backup-simplify]: Simplify (sqrt 1) into 1
5.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.385 * [backup-simplify]: Simplify (+ 0 0) into 0
5.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.386 * [taylor]: Taking taylor expansion of 1 in im
5.386 * [backup-simplify]: Simplify 1 into 1
5.386 * [taylor]: Taking taylor expansion of 0 in im
5.386 * [backup-simplify]: Simplify 0 into 0
5.386 * [backup-simplify]: Simplify 1 into 1
5.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.388 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.389 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.389 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.389 * [taylor]: Taking taylor expansion of 1/2 in im
5.389 * [backup-simplify]: Simplify 1/2 into 1/2
5.389 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.389 * [taylor]: Taking taylor expansion of im in im
5.389 * [backup-simplify]: Simplify 0 into 0
5.389 * [backup-simplify]: Simplify 1 into 1
5.389 * [backup-simplify]: Simplify (* 1 1) into 1
5.390 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.391 * [backup-simplify]: Simplify 0 into 0
5.391 * [backup-simplify]: Simplify 0 into 0
5.391 * [backup-simplify]: Simplify 0 into 0
5.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.394 * [backup-simplify]: Simplify (+ 0 0) into 0
5.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.395 * [taylor]: Taking taylor expansion of 0 in im
5.395 * [backup-simplify]: Simplify 0 into 0
5.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.397 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify 0 into 0
5.397 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.397 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.397 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.397 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.397 * [taylor]: Taking taylor expansion of re in im
5.397 * [backup-simplify]: Simplify re into re
5.397 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.398 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.398 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.398 * [taylor]: Taking taylor expansion of im in im
5.398 * [backup-simplify]: Simplify 0 into 0
5.398 * [backup-simplify]: Simplify 1 into 1
5.398 * [backup-simplify]: Simplify (* 1 1) into 1
5.398 * [backup-simplify]: Simplify (/ 1 1) into 1
5.399 * [backup-simplify]: Simplify (+ 0 1) into 1
5.399 * [backup-simplify]: Simplify (sqrt 1) into 1
5.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.401 * [backup-simplify]: Simplify (+ 0 0) into 0
5.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.402 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.402 * [taylor]: Taking taylor expansion of re in re
5.402 * [backup-simplify]: Simplify 0 into 0
5.402 * [backup-simplify]: Simplify 1 into 1
5.402 * [backup-simplify]: Simplify (* 1 1) into 1
5.403 * [backup-simplify]: Simplify (/ 1 1) into 1
5.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.403 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.403 * [taylor]: Taking taylor expansion of im in re
5.403 * [backup-simplify]: Simplify im into im
5.403 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.404 * [backup-simplify]: Simplify (+ 1 0) into 1
5.404 * [backup-simplify]: Simplify (sqrt 1) into 1
5.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.406 * [backup-simplify]: Simplify (+ 0 0) into 0
5.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.407 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.407 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.407 * [taylor]: Taking taylor expansion of re in re
5.407 * [backup-simplify]: Simplify 0 into 0
5.407 * [backup-simplify]: Simplify 1 into 1
5.407 * [backup-simplify]: Simplify (* 1 1) into 1
5.407 * [backup-simplify]: Simplify (/ 1 1) into 1
5.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.408 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.408 * [taylor]: Taking taylor expansion of im in re
5.408 * [backup-simplify]: Simplify im into im
5.408 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.408 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.408 * [backup-simplify]: Simplify (+ 1 0) into 1
5.409 * [backup-simplify]: Simplify (sqrt 1) into 1
5.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.410 * [backup-simplify]: Simplify (+ 0 0) into 0
5.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.411 * [taylor]: Taking taylor expansion of 1 in im
5.411 * [backup-simplify]: Simplify 1 into 1
5.411 * [taylor]: Taking taylor expansion of 0 in im
5.411 * [backup-simplify]: Simplify 0 into 0
5.411 * [backup-simplify]: Simplify 1 into 1
5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.415 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.415 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.415 * [taylor]: Taking taylor expansion of 1/2 in im
5.415 * [backup-simplify]: Simplify 1/2 into 1/2
5.415 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.415 * [taylor]: Taking taylor expansion of im in im
5.415 * [backup-simplify]: Simplify 0 into 0
5.415 * [backup-simplify]: Simplify 1 into 1
5.416 * [backup-simplify]: Simplify (* 1 1) into 1
5.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.418 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify 0 into 0
5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.420 * [backup-simplify]: Simplify (+ 0 0) into 0
5.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.421 * [taylor]: Taking taylor expansion of 0 in im
5.421 * [backup-simplify]: Simplify 0 into 0
5.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.423 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2 1 1)
5.424 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.424 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.424 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.424 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.424 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.424 * [taylor]: Taking taylor expansion of im in im
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 1 into 1
5.424 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.424 * [taylor]: Taking taylor expansion of re in im
5.424 * [backup-simplify]: Simplify re into re
5.424 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.424 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.424 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.424 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.425 * [backup-simplify]: Simplify (+ 0 0) into 0
5.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.425 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.425 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.425 * [taylor]: Taking taylor expansion of im in re
5.425 * [backup-simplify]: Simplify im into im
5.425 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.425 * [taylor]: Taking taylor expansion of re in re
5.425 * [backup-simplify]: Simplify 0 into 0
5.425 * [backup-simplify]: Simplify 1 into 1
5.425 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.425 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.425 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.426 * [backup-simplify]: Simplify (+ 0 0) into 0
5.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.426 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.426 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.426 * [taylor]: Taking taylor expansion of im in re
5.426 * [backup-simplify]: Simplify im into im
5.426 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.426 * [taylor]: Taking taylor expansion of re in re
5.426 * [backup-simplify]: Simplify 0 into 0
5.426 * [backup-simplify]: Simplify 1 into 1
5.426 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.426 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.426 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.426 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.427 * [backup-simplify]: Simplify (+ 0 0) into 0
5.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.427 * [taylor]: Taking taylor expansion of im in im
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 1 into 1
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [taylor]: Taking taylor expansion of 0 in im
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 0 into 0
5.427 * [backup-simplify]: Simplify 1 into 1
5.428 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.428 * [backup-simplify]: Simplify (* 1 1) into 1
5.429 * [backup-simplify]: Simplify (+ 0 1) into 1
5.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.429 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.429 * [taylor]: Taking taylor expansion of 1/2 in im
5.429 * [backup-simplify]: Simplify 1/2 into 1/2
5.429 * [taylor]: Taking taylor expansion of im in im
5.429 * [backup-simplify]: Simplify 0 into 0
5.429 * [backup-simplify]: Simplify 1 into 1
5.430 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify 0 into 0
5.431 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.432 * [backup-simplify]: Simplify (+ 0 0) into 0
5.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.432 * [taylor]: Taking taylor expansion of 0 in im
5.432 * [backup-simplify]: Simplify 0 into 0
5.432 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.433 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.433 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.433 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.433 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.433 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.433 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.433 * [taylor]: Taking taylor expansion of re in im
5.433 * [backup-simplify]: Simplify re into re
5.433 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.433 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.433 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.433 * [taylor]: Taking taylor expansion of im in im
5.433 * [backup-simplify]: Simplify 0 into 0
5.433 * [backup-simplify]: Simplify 1 into 1
5.434 * [backup-simplify]: Simplify (* 1 1) into 1
5.434 * [backup-simplify]: Simplify (/ 1 1) into 1
5.434 * [backup-simplify]: Simplify (+ 0 1) into 1
5.434 * [backup-simplify]: Simplify (sqrt 1) into 1
5.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.436 * [backup-simplify]: Simplify (+ 0 0) into 0
5.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.436 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.436 * [taylor]: Taking taylor expansion of re in re
5.436 * [backup-simplify]: Simplify 0 into 0
5.436 * [backup-simplify]: Simplify 1 into 1
5.436 * [backup-simplify]: Simplify (* 1 1) into 1
5.437 * [backup-simplify]: Simplify (/ 1 1) into 1
5.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.437 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.437 * [taylor]: Taking taylor expansion of im in re
5.437 * [backup-simplify]: Simplify im into im
5.437 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.437 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.437 * [backup-simplify]: Simplify (+ 1 0) into 1
5.437 * [backup-simplify]: Simplify (sqrt 1) into 1
5.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.439 * [backup-simplify]: Simplify (+ 0 0) into 0
5.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.439 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.439 * [taylor]: Taking taylor expansion of re in re
5.439 * [backup-simplify]: Simplify 0 into 0
5.439 * [backup-simplify]: Simplify 1 into 1
5.440 * [backup-simplify]: Simplify (* 1 1) into 1
5.440 * [backup-simplify]: Simplify (/ 1 1) into 1
5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.440 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.440 * [taylor]: Taking taylor expansion of im in re
5.440 * [backup-simplify]: Simplify im into im
5.440 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.441 * [backup-simplify]: Simplify (+ 1 0) into 1
5.441 * [backup-simplify]: Simplify (sqrt 1) into 1
5.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.445 * [backup-simplify]: Simplify (+ 0 0) into 0
5.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.446 * [taylor]: Taking taylor expansion of 1 in im
5.446 * [backup-simplify]: Simplify 1 into 1
5.446 * [taylor]: Taking taylor expansion of 0 in im
5.446 * [backup-simplify]: Simplify 0 into 0
5.446 * [backup-simplify]: Simplify 1 into 1
5.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.447 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.448 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.448 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.448 * [taylor]: Taking taylor expansion of 1/2 in im
5.448 * [backup-simplify]: Simplify 1/2 into 1/2
5.448 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.448 * [taylor]: Taking taylor expansion of im in im
5.448 * [backup-simplify]: Simplify 0 into 0
5.448 * [backup-simplify]: Simplify 1 into 1
5.448 * [backup-simplify]: Simplify (* 1 1) into 1
5.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.449 * [backup-simplify]: Simplify 0 into 0
5.449 * [backup-simplify]: Simplify 0 into 0
5.449 * [backup-simplify]: Simplify 0 into 0
5.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.451 * [backup-simplify]: Simplify (+ 0 0) into 0
5.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.452 * [taylor]: Taking taylor expansion of 0 in im
5.452 * [backup-simplify]: Simplify 0 into 0
5.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.453 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.453 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.453 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.453 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.453 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.453 * [taylor]: Taking taylor expansion of re in im
5.453 * [backup-simplify]: Simplify re into re
5.453 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.453 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.453 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.453 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.453 * [taylor]: Taking taylor expansion of im in im
5.453 * [backup-simplify]: Simplify 0 into 0
5.453 * [backup-simplify]: Simplify 1 into 1
5.454 * [backup-simplify]: Simplify (* 1 1) into 1
5.454 * [backup-simplify]: Simplify (/ 1 1) into 1
5.454 * [backup-simplify]: Simplify (+ 0 1) into 1
5.455 * [backup-simplify]: Simplify (sqrt 1) into 1
5.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.456 * [backup-simplify]: Simplify (+ 0 0) into 0
5.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.456 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.456 * [taylor]: Taking taylor expansion of re in re
5.456 * [backup-simplify]: Simplify 0 into 0
5.456 * [backup-simplify]: Simplify 1 into 1
5.456 * [backup-simplify]: Simplify (* 1 1) into 1
5.457 * [backup-simplify]: Simplify (/ 1 1) into 1
5.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.457 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.457 * [taylor]: Taking taylor expansion of im in re
5.457 * [backup-simplify]: Simplify im into im
5.457 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.457 * [backup-simplify]: Simplify (+ 1 0) into 1
5.457 * [backup-simplify]: Simplify (sqrt 1) into 1
5.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.459 * [backup-simplify]: Simplify (+ 0 0) into 0
5.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.459 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.459 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.459 * [taylor]: Taking taylor expansion of re in re
5.459 * [backup-simplify]: Simplify 0 into 0
5.459 * [backup-simplify]: Simplify 1 into 1
5.459 * [backup-simplify]: Simplify (* 1 1) into 1
5.460 * [backup-simplify]: Simplify (/ 1 1) into 1
5.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.460 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.460 * [taylor]: Taking taylor expansion of im in re
5.460 * [backup-simplify]: Simplify im into im
5.460 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.460 * [backup-simplify]: Simplify (+ 1 0) into 1
5.460 * [backup-simplify]: Simplify (sqrt 1) into 1
5.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.462 * [backup-simplify]: Simplify (+ 0 0) into 0
5.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.462 * [taylor]: Taking taylor expansion of 1 in im
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [taylor]: Taking taylor expansion of 0 in im
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.463 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.464 * [taylor]: Taking taylor expansion of 1/2 in im
5.464 * [backup-simplify]: Simplify 1/2 into 1/2
5.464 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.464 * [taylor]: Taking taylor expansion of im in im
5.464 * [backup-simplify]: Simplify 0 into 0
5.464 * [backup-simplify]: Simplify 1 into 1
5.465 * [backup-simplify]: Simplify (* 1 1) into 1
5.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 0 into 0
5.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.468 * [backup-simplify]: Simplify (+ 0 0) into 0
5.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.468 * [taylor]: Taking taylor expansion of 0 in im
5.468 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.469 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 1 1)
5.470 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
5.470 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
5.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.470 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.470 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.470 * [taylor]: Taking taylor expansion of im in im
5.470 * [backup-simplify]: Simplify 0 into 0
5.470 * [backup-simplify]: Simplify 1 into 1
5.470 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.470 * [taylor]: Taking taylor expansion of re in im
5.470 * [backup-simplify]: Simplify re into re
5.470 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.470 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.470 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.470 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.470 * [backup-simplify]: Simplify (+ 0 0) into 0
5.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.470 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.470 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.470 * [taylor]: Taking taylor expansion of im in re
5.470 * [backup-simplify]: Simplify im into im
5.470 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.471 * [taylor]: Taking taylor expansion of re in re
5.471 * [backup-simplify]: Simplify 0 into 0
5.471 * [backup-simplify]: Simplify 1 into 1
5.471 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.471 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.471 * [backup-simplify]: Simplify (+ 0 0) into 0
5.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.471 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.471 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.471 * [taylor]: Taking taylor expansion of im in re
5.471 * [backup-simplify]: Simplify im into im
5.471 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.471 * [taylor]: Taking taylor expansion of re in re
5.471 * [backup-simplify]: Simplify 0 into 0
5.471 * [backup-simplify]: Simplify 1 into 1
5.471 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.471 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.472 * [backup-simplify]: Simplify (+ 0 0) into 0
5.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.472 * [taylor]: Taking taylor expansion of im in im
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 1 into 1
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [taylor]: Taking taylor expansion of 0 in im
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify 1 into 1
5.472 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.473 * [backup-simplify]: Simplify (* 1 1) into 1
5.473 * [backup-simplify]: Simplify (+ 0 1) into 1
5.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.473 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
5.473 * [taylor]: Taking taylor expansion of 1/2 in im
5.473 * [backup-simplify]: Simplify 1/2 into 1/2
5.473 * [taylor]: Taking taylor expansion of im in im
5.473 * [backup-simplify]: Simplify 0 into 0
5.473 * [backup-simplify]: Simplify 1 into 1
5.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.476 * [backup-simplify]: Simplify (+ 0 0) into 0
5.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.476 * [taylor]: Taking taylor expansion of 0 in im
5.476 * [backup-simplify]: Simplify 0 into 0
5.476 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
5.477 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.477 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.477 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.477 * [taylor]: Taking taylor expansion of re in im
5.477 * [backup-simplify]: Simplify re into re
5.477 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.477 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.477 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.477 * [taylor]: Taking taylor expansion of im in im
5.477 * [backup-simplify]: Simplify 0 into 0
5.477 * [backup-simplify]: Simplify 1 into 1
5.478 * [backup-simplify]: Simplify (* 1 1) into 1
5.478 * [backup-simplify]: Simplify (/ 1 1) into 1
5.478 * [backup-simplify]: Simplify (+ 0 1) into 1
5.478 * [backup-simplify]: Simplify (sqrt 1) into 1
5.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.480 * [backup-simplify]: Simplify (+ 0 0) into 0
5.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.481 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.481 * [taylor]: Taking taylor expansion of re in re
5.481 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.481 * [backup-simplify]: Simplify (* 1 1) into 1
5.481 * [backup-simplify]: Simplify (/ 1 1) into 1
5.481 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.481 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.481 * [taylor]: Taking taylor expansion of im in re
5.481 * [backup-simplify]: Simplify im into im
5.481 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.481 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.482 * [backup-simplify]: Simplify (+ 1 0) into 1
5.482 * [backup-simplify]: Simplify (sqrt 1) into 1
5.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.483 * [backup-simplify]: Simplify (+ 0 0) into 0
5.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.484 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.484 * [taylor]: Taking taylor expansion of re in re
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 1 into 1
5.484 * [backup-simplify]: Simplify (* 1 1) into 1
5.484 * [backup-simplify]: Simplify (/ 1 1) into 1
5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.484 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.484 * [taylor]: Taking taylor expansion of im in re
5.484 * [backup-simplify]: Simplify im into im
5.484 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.485 * [backup-simplify]: Simplify (+ 1 0) into 1
5.485 * [backup-simplify]: Simplify (sqrt 1) into 1
5.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.486 * [backup-simplify]: Simplify (+ 0 0) into 0
5.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.487 * [taylor]: Taking taylor expansion of 1 in im
5.487 * [backup-simplify]: Simplify 1 into 1
5.487 * [taylor]: Taking taylor expansion of 0 in im
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.489 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.489 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.489 * [taylor]: Taking taylor expansion of 1/2 in im
5.489 * [backup-simplify]: Simplify 1/2 into 1/2
5.489 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.489 * [taylor]: Taking taylor expansion of im in im
5.489 * [backup-simplify]: Simplify 0 into 0
5.489 * [backup-simplify]: Simplify 1 into 1
5.489 * [backup-simplify]: Simplify (* 1 1) into 1
5.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.490 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.493 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.493 * [backup-simplify]: Simplify (+ 0 0) into 0
5.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.494 * [taylor]: Taking taylor expansion of 0 in im
5.494 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify 0 into 0
5.496 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
5.496 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
5.496 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
5.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.496 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.496 * [taylor]: Taking taylor expansion of re in im
5.496 * [backup-simplify]: Simplify re into re
5.497 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.497 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.497 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.497 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.497 * [taylor]: Taking taylor expansion of im in im
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (* 1 1) into 1
5.498 * [backup-simplify]: Simplify (/ 1 1) into 1
5.498 * [backup-simplify]: Simplify (+ 0 1) into 1
5.498 * [backup-simplify]: Simplify (sqrt 1) into 1
5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (+ 0 0) into 0
5.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.501 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.501 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.501 * [taylor]: Taking taylor expansion of re in re
5.501 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify 1 into 1
5.501 * [backup-simplify]: Simplify (* 1 1) into 1
5.502 * [backup-simplify]: Simplify (/ 1 1) into 1
5.502 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.502 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.502 * [taylor]: Taking taylor expansion of im in re
5.502 * [backup-simplify]: Simplify im into im
5.502 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.503 * [backup-simplify]: Simplify (+ 1 0) into 1
5.503 * [backup-simplify]: Simplify (sqrt 1) into 1
5.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.505 * [backup-simplify]: Simplify (+ 0 0) into 0
5.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.506 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.506 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.506 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.506 * [taylor]: Taking taylor expansion of re in re
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify (* 1 1) into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.507 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.507 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.507 * [taylor]: Taking taylor expansion of im in re
5.507 * [backup-simplify]: Simplify im into im
5.507 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.507 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.507 * [backup-simplify]: Simplify (+ 1 0) into 1
5.508 * [backup-simplify]: Simplify (sqrt 1) into 1
5.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.509 * [backup-simplify]: Simplify (+ 0 0) into 0
5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.510 * [taylor]: Taking taylor expansion of 1 in im
5.510 * [backup-simplify]: Simplify 1 into 1
5.510 * [taylor]: Taking taylor expansion of 0 in im
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.512 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.514 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
5.514 * [taylor]: Taking taylor expansion of 1/2 in im
5.514 * [backup-simplify]: Simplify 1/2 into 1/2
5.514 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.514 * [taylor]: Taking taylor expansion of im in im
5.514 * [backup-simplify]: Simplify 0 into 0
5.514 * [backup-simplify]: Simplify 1 into 1
5.514 * [backup-simplify]: Simplify (* 1 1) into 1
5.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.516 * [backup-simplify]: Simplify 0 into 0
5.516 * [backup-simplify]: Simplify 0 into 0
5.516 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.519 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.519 * [backup-simplify]: Simplify (+ 0 0) into 0
5.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.520 * [taylor]: Taking taylor expansion of 0 in im
5.520 * [backup-simplify]: Simplify 0 into 0
5.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
5.522 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1)
5.522 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2))))
5.522 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
5.522 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
5.522 * [taylor]: Taking taylor expansion of re in im
5.522 * [backup-simplify]: Simplify re into re
5.522 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
5.522 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
5.522 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.522 * [taylor]: Taking taylor expansion of im in im
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify 1 into 1
5.522 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.523 * [taylor]: Taking taylor expansion of re in im
5.523 * [backup-simplify]: Simplify re into re
5.523 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.523 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
5.523 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.523 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.523 * [backup-simplify]: Simplify (+ 0 0) into 0
5.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.523 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
5.523 * [taylor]: Taking taylor expansion of re in re
5.523 * [backup-simplify]: Simplify 0 into 0
5.523 * [backup-simplify]: Simplify 1 into 1
5.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.524 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.524 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.524 * [taylor]: Taking taylor expansion of im in re
5.524 * [backup-simplify]: Simplify im into im
5.524 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.524 * [taylor]: Taking taylor expansion of re in re
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 1 into 1
5.524 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.524 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.524 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.524 * [backup-simplify]: Simplify (+ 0 0) into 0
5.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.525 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
5.525 * [taylor]: Taking taylor expansion of re in re
5.525 * [backup-simplify]: Simplify 0 into 0
5.525 * [backup-simplify]: Simplify 1 into 1
5.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
5.525 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
5.525 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.525 * [taylor]: Taking taylor expansion of im in re
5.525 * [backup-simplify]: Simplify im into im
5.525 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.525 * [taylor]: Taking taylor expansion of re in re
5.525 * [backup-simplify]: Simplify 0 into 0
5.525 * [backup-simplify]: Simplify 1 into 1
5.525 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.525 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
5.525 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.526 * [backup-simplify]: Simplify (+ 0 0) into 0
5.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.526 * [backup-simplify]: Simplify (+ 0 im) into im
5.526 * [taylor]: Taking taylor expansion of im in im
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify 1 into 1
5.526 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify (+ 1 0) into 1
5.527 * [taylor]: Taking taylor expansion of 1 in im
5.527 * [backup-simplify]: Simplify 1 into 1
5.527 * [backup-simplify]: Simplify 1 into 1
5.527 * [backup-simplify]: Simplify 1 into 1
5.527 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.528 * [backup-simplify]: Simplify (* 1 1) into 1
5.528 * [backup-simplify]: Simplify (+ 0 1) into 1
5.529 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.529 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
5.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
5.529 * [taylor]: Taking taylor expansion of 1/2 in im
5.529 * [backup-simplify]: Simplify 1/2 into 1/2
5.529 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.529 * [taylor]: Taking taylor expansion of im in im
5.529 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify 1 into 1
5.530 * [backup-simplify]: Simplify (/ 1 1) into 1
5.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
5.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.533 * [backup-simplify]: Simplify (+ 0 0) into 0
5.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
5.534 * [backup-simplify]: Simplify (+ 0 0) into 0
5.534 * [taylor]: Taking taylor expansion of 0 in im
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify 0 into 0
5.536 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
5.536 * [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)))))
5.536 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
5.536 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
5.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.536 * [taylor]: Taking taylor expansion of re in im
5.536 * [backup-simplify]: Simplify re into re
5.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.536 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.537 * [taylor]: Taking taylor expansion of re in im
5.537 * [backup-simplify]: Simplify re into re
5.537 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.537 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.537 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.537 * [taylor]: Taking taylor expansion of im in im
5.537 * [backup-simplify]: Simplify 0 into 0
5.537 * [backup-simplify]: Simplify 1 into 1
5.537 * [backup-simplify]: Simplify (* 1 1) into 1
5.538 * [backup-simplify]: Simplify (/ 1 1) into 1
5.538 * [backup-simplify]: Simplify (+ 0 1) into 1
5.538 * [backup-simplify]: Simplify (sqrt 1) into 1
5.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.540 * [backup-simplify]: Simplify (+ 0 0) into 0
5.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.541 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.541 * [taylor]: Taking taylor expansion of re in re
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.542 * [backup-simplify]: Simplify (/ 1 1) into 1
5.542 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.542 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.542 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.542 * [taylor]: Taking taylor expansion of re in re
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 1 into 1
5.542 * [backup-simplify]: Simplify (* 1 1) into 1
5.543 * [backup-simplify]: Simplify (/ 1 1) into 1
5.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.543 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.543 * [taylor]: Taking taylor expansion of im in re
5.543 * [backup-simplify]: Simplify im into im
5.543 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.543 * [backup-simplify]: Simplify (+ 1 0) into 1
5.544 * [backup-simplify]: Simplify (sqrt 1) into 1
5.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (+ 0 0) into 0
5.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.546 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
5.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.546 * [taylor]: Taking taylor expansion of re in re
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 1 into 1
5.547 * [backup-simplify]: Simplify (/ 1 1) into 1
5.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.547 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.547 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.547 * [taylor]: Taking taylor expansion of re in re
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify 1 into 1
5.547 * [backup-simplify]: Simplify (* 1 1) into 1
5.548 * [backup-simplify]: Simplify (/ 1 1) into 1
5.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.548 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.548 * [taylor]: Taking taylor expansion of im in re
5.548 * [backup-simplify]: Simplify im into im
5.548 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.548 * [backup-simplify]: Simplify (+ 1 0) into 1
5.549 * [backup-simplify]: Simplify (sqrt 1) into 1
5.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify (+ 0 0) into 0
5.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.552 * [backup-simplify]: Simplify (+ 1 1) into 2
5.552 * [taylor]: Taking taylor expansion of 2 in im
5.552 * [backup-simplify]: Simplify 2 into 2
5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.553 * [backup-simplify]: Simplify (+ 0 0) into 0
5.553 * [taylor]: Taking taylor expansion of 0 in im
5.553 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify 2 into 2
5.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.556 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.558 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.558 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.558 * [taylor]: Taking taylor expansion of 1/2 in im
5.558 * [backup-simplify]: Simplify 1/2 into 1/2
5.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.558 * [taylor]: Taking taylor expansion of im in im
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (* 1 1) into 1
5.559 * [backup-simplify]: Simplify (/ 1 1) into 1
5.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify 0 into 0
5.561 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.566 * [backup-simplify]: Simplify (+ 0 0) into 0
5.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.567 * [backup-simplify]: Simplify (+ 0 0) into 0
5.567 * [taylor]: Taking taylor expansion of 0 in im
5.567 * [backup-simplify]: Simplify 0 into 0
5.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify 0 into 0
5.957 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
5.958 * [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))
5.958 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
5.958 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
5.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
5.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
5.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
5.958 * [taylor]: Taking taylor expansion of (pow re 2) in im
5.958 * [taylor]: Taking taylor expansion of re in im
5.958 * [backup-simplify]: Simplify re into re
5.958 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.958 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
5.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.958 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.958 * [taylor]: Taking taylor expansion of im in im
5.958 * [backup-simplify]: Simplify 0 into 0
5.958 * [backup-simplify]: Simplify 1 into 1
5.959 * [backup-simplify]: Simplify (* 1 1) into 1
5.959 * [backup-simplify]: Simplify (/ 1 1) into 1
5.960 * [backup-simplify]: Simplify (+ 0 1) into 1
5.960 * [backup-simplify]: Simplify (sqrt 1) into 1
5.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.962 * [backup-simplify]: Simplify (+ 0 0) into 0
5.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.963 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.963 * [taylor]: Taking taylor expansion of re in im
5.963 * [backup-simplify]: Simplify re into re
5.963 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.963 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.963 * [taylor]: Taking taylor expansion of re in re
5.963 * [backup-simplify]: Simplify 0 into 0
5.963 * [backup-simplify]: Simplify 1 into 1
5.963 * [backup-simplify]: Simplify (* 1 1) into 1
5.964 * [backup-simplify]: Simplify (/ 1 1) into 1
5.964 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.964 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.964 * [taylor]: Taking taylor expansion of im in re
5.964 * [backup-simplify]: Simplify im into im
5.964 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.964 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.964 * [backup-simplify]: Simplify (+ 1 0) into 1
5.965 * [backup-simplify]: Simplify (sqrt 1) into 1
5.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (+ 0 0) into 0
5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.968 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.968 * [taylor]: Taking taylor expansion of re in re
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.968 * [backup-simplify]: Simplify (/ 1 1) into 1
5.968 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
5.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
5.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
5.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
5.968 * [taylor]: Taking taylor expansion of (pow re 2) in re
5.968 * [taylor]: Taking taylor expansion of re in re
5.968 * [backup-simplify]: Simplify 0 into 0
5.968 * [backup-simplify]: Simplify 1 into 1
5.969 * [backup-simplify]: Simplify (* 1 1) into 1
5.969 * [backup-simplify]: Simplify (/ 1 1) into 1
5.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
5.969 * [taylor]: Taking taylor expansion of (pow im 2) in re
5.969 * [taylor]: Taking taylor expansion of im in re
5.969 * [backup-simplify]: Simplify im into im
5.969 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.969 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
5.970 * [backup-simplify]: Simplify (+ 1 0) into 1
5.970 * [backup-simplify]: Simplify (sqrt 1) into 1
5.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.972 * [backup-simplify]: Simplify (+ 0 0) into 0
5.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.973 * [taylor]: Taking taylor expansion of re in re
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 1 into 1
5.973 * [backup-simplify]: Simplify (/ 1 1) into 1
5.974 * [backup-simplify]: Simplify (- 1) into -1
5.974 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.974 * [taylor]: Taking taylor expansion of 0 in im
5.974 * [backup-simplify]: Simplify 0 into 0
5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.975 * [backup-simplify]: Simplify (- 0) into 0
5.976 * [backup-simplify]: Simplify (+ 0 0) into 0
5.976 * [taylor]: Taking taylor expansion of 0 in im
5.976 * [backup-simplify]: Simplify 0 into 0
5.976 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.979 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.980 * [backup-simplify]: Simplify (- 0) into 0
5.980 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.980 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.980 * [taylor]: Taking taylor expansion of 1/2 in im
5.980 * [backup-simplify]: Simplify 1/2 into 1/2
5.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.980 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.980 * [taylor]: Taking taylor expansion of im in im
5.980 * [backup-simplify]: Simplify 0 into 0
5.980 * [backup-simplify]: Simplify 1 into 1
5.981 * [backup-simplify]: Simplify (* 1 1) into 1
5.981 * [backup-simplify]: Simplify (/ 1 1) into 1
5.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.983 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 0 into 0
5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.986 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
5.987 * [backup-simplify]: Simplify (+ 0 0) into 0
5.988 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.989 * [backup-simplify]: Simplify (- 0) into 0
5.989 * [backup-simplify]: Simplify (+ 0 0) into 0
5.989 * [taylor]: Taking taylor expansion of 0 in im
5.989 * [backup-simplify]: Simplify 0 into 0
5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.992 * * * [progress]: simplifying candidates
5.992 * * * * [progress]: [ 1 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (pow (+ (* re re) (* im im)) 1/2) re)))))))>
5.992 * * * * [progress]: [ 2 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)))))))>
5.993 * * * * [progress]: [ 3 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 4 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 5 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 6 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 7 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 8 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 9 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)))))))>
5.993 * * * * [progress]: [ 10 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)))))))>
5.993 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)))))))>
5.993 * * * * [progress]: [ 12 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)))))))>
5.993 * * * * [progress]: [ 13 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))))>
5.993 * * * * [progress]: [ 14 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re)))))))>
5.993 * * * * [progress]: [ 15 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)))))))>
5.994 * * * * [progress]: [ 16 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))))>
5.994 * * * * [progress]: [ 17 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (pow (+ (* re re) (* im im)) 1/2) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 18 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (pow (sqrt (+ (* re re) (* im im))) 1) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 19 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (log (exp (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 21 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 22 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 23 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 24 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 25 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 26 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 27 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.994 * * * * [progress]: [ 28 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 29 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 30 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 31 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 32 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 33 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (pow (+ (* re re) (* im im)) 1/2) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 34 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (pow (sqrt (+ (* re re) (* im im))) 1) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 35 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 36 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (log (exp (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 37 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (cbrt (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 39 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.995 * * * * [progress]: [ 40 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 41 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* (sqrt 1) (sqrt (+ (* re re) (* im im)))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 42 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (/ (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 43 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 44 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 45 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 46 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (fabs (sqrt (+ (* re re) (* im im)))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 47 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* 1 (sqrt (+ (* re re) (* im im)))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 48 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (posit16->real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.996 * * * * [progress]: [ 49 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)))))))))>
5.996 * * * * [progress]: [ 50 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (pow (+ (sqrt (+ (* re re) (* im im))) re) 1)))))))>
5.996 * * * * [progress]: [ 51 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (exp (log (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
5.996 * * * * [progress]: [ 52 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (log (exp (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
5.996 * * * * [progress]: [ 53 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
5.997 * * * * [progress]: [ 54 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (cbrt (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
5.997 * * * * [progress]: [ 55 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
5.997 * * * * [progress]: [ 56 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ (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))))))))))>
5.997 * * * * [progress]: [ 57 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.997 * * * * [progress]: [ 58 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re))))))))>
5.997 * * * * [progress]: [ 59 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 1 (+ (sqrt (+ (* re re) (* im im))) re))))))))>
5.997 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))>
5.997 * * * * [progress]: [ 61 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))))))>
5.997 * * * * [progress]: [ 62 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ im re)))))))>
5.997 * * * * [progress]: [ 63 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ re re)))))))>
5.997 * * * * [progress]: [ 64 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (* -1 re) re)))))))>
5.997 * * * * [progress]: [ 65 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ im re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.997 * * * * [progress]: [ 66 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ re re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.998 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (* -1 re) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.998 * * * * [progress]: [ 68 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ im re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.998 * * * * [progress]: [ 69 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ re re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.998 * * * * [progress]: [ 70 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (* -1 re) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>
5.998 * * * * [progress]: [ 71 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ re im)))))))>
5.998 * * * * [progress]: [ 72 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (* 2 re)))))))>
5.998 * * * * [progress]: [ 73 / 73 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt 0))))))>
5.999 * [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 (+ (* 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)), im, re, (* -1 re), im, re, (* -1 re), im, re, (* -1 re), (+ re im), (* 2 re), 0
6.001 * * [simplify]: iteration 1: (61 enodes)
6.031 * * [simplify]: iteration 2: (255 enodes)
6.133 * * [simplify]: iteration 3: (523 enodes)
6.331 * * [simplify]: iteration 4: (1113 enodes)
6.845 * * [simplify]: Extracting #0: cost 34 inf + 0
6.846 * * [simplify]: Extracting #1: cost 142 inf + 88
6.848 * * [simplify]: Extracting #2: cost 344 inf + 1341
6.855 * * [simplify]: Extracting #3: cost 499 inf + 12985
6.883 * * [simplify]: Extracting #4: cost 349 inf + 65229
6.909 * * [simplify]: Extracting #5: cost 60 inf + 143104
6.947 * * [simplify]: Extracting #6: cost 0 inf + 161707
6.998 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))), (exp (sqrt (+ (* re re) (* im im)))), (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))), (cbrt (sqrt (+ (* re re) (* im im)))), (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))), (fabs (cbrt (+ (* re re) (* im im)))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), 1, (sqrt (+ (* re re) (* im im))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))), (sqrt (- (* (* im im) (* im im)) (* (- (* 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) (* im im)) (* (- (* 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) (* im im)) (* (- (* 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)), (+ (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))), (+ (+ (* re re) (* im im)) (* (- re (sqrt (+ (* re re) (* im im)))) re)), (* im im), (- (sqrt (+ (* re re) (* im im))) re), (+ (sqrt (+ (* re re) (* im im))) re), (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)), im, re, (- re), im, re, (- re), im, re, (- re), (+ re im), (* re 2), 0
7.008 * * * [progress]: adding candidates to table
8.038 * * [progress]: iteration 4 / 4
8.038 * * * [progress]: picking best candidate
8.092 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))>
8.092 * * * [progress]: localizing error
8.147 * * * [progress]: generating rewritten candidates
8.147 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1)
8.158 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1)
8.170 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
8.210 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1)
8.271 * * * [progress]: generating series expansions
8.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1)
8.271 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.271 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.271 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.271 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.271 * [taylor]: Taking taylor expansion of im in im
8.271 * [backup-simplify]: Simplify 0 into 0
8.271 * [backup-simplify]: Simplify 1 into 1
8.271 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.271 * [taylor]: Taking taylor expansion of re in im
8.271 * [backup-simplify]: Simplify re into re
8.271 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.272 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.272 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.272 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.272 * [backup-simplify]: Simplify (+ 0 0) into 0
8.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.273 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.273 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.273 * [taylor]: Taking taylor expansion of im in re
8.273 * [backup-simplify]: Simplify im into im
8.273 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.273 * [taylor]: Taking taylor expansion of re in re
8.273 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify 1 into 1
8.273 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.273 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.273 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.274 * [backup-simplify]: Simplify (+ 0 0) into 0
8.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.274 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.274 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.274 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.274 * [taylor]: Taking taylor expansion of im in re
8.274 * [backup-simplify]: Simplify im into im
8.274 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.274 * [taylor]: Taking taylor expansion of re in re
8.274 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify 1 into 1
8.274 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.274 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.274 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.275 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.275 * [taylor]: Taking taylor expansion of im in im
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify 1 into 1
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [taylor]: Taking taylor expansion of 0 in im
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify 0 into 0
8.275 * [backup-simplify]: Simplify 1 into 1
8.276 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.276 * [backup-simplify]: Simplify (* 1 1) into 1
8.276 * [backup-simplify]: Simplify (+ 0 1) into 1
8.277 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.277 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.277 * [taylor]: Taking taylor expansion of 1/2 in im
8.277 * [backup-simplify]: Simplify 1/2 into 1/2
8.277 * [taylor]: Taking taylor expansion of im in im
8.277 * [backup-simplify]: Simplify 0 into 0
8.278 * [backup-simplify]: Simplify 1 into 1
8.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.280 * [backup-simplify]: Simplify (+ 0 0) into 0
8.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.280 * [taylor]: Taking taylor expansion of 0 in im
8.280 * [backup-simplify]: Simplify 0 into 0
8.280 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.281 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.281 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.281 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.281 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.281 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.281 * [taylor]: Taking taylor expansion of re in im
8.281 * [backup-simplify]: Simplify re into re
8.281 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.281 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.281 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.281 * [taylor]: Taking taylor expansion of im in im
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify 1 into 1
8.282 * [backup-simplify]: Simplify (* 1 1) into 1
8.282 * [backup-simplify]: Simplify (/ 1 1) into 1
8.282 * [backup-simplify]: Simplify (+ 0 1) into 1
8.282 * [backup-simplify]: Simplify (sqrt 1) into 1
8.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.283 * [backup-simplify]: Simplify (+ 0 0) into 0
8.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.284 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.284 * [taylor]: Taking taylor expansion of re in re
8.284 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify 1 into 1
8.284 * [backup-simplify]: Simplify (* 1 1) into 1
8.284 * [backup-simplify]: Simplify (/ 1 1) into 1
8.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.285 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.285 * [taylor]: Taking taylor expansion of im in re
8.285 * [backup-simplify]: Simplify im into im
8.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.285 * [backup-simplify]: Simplify (+ 1 0) into 1
8.285 * [backup-simplify]: Simplify (sqrt 1) into 1
8.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.286 * [backup-simplify]: Simplify (+ 0 0) into 0
8.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.287 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.287 * [taylor]: Taking taylor expansion of re in re
8.287 * [backup-simplify]: Simplify 0 into 0
8.287 * [backup-simplify]: Simplify 1 into 1
8.287 * [backup-simplify]: Simplify (* 1 1) into 1
8.287 * [backup-simplify]: Simplify (/ 1 1) into 1
8.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.287 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.287 * [taylor]: Taking taylor expansion of im in re
8.287 * [backup-simplify]: Simplify im into im
8.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.288 * [backup-simplify]: Simplify (+ 1 0) into 1
8.288 * [backup-simplify]: Simplify (sqrt 1) into 1
8.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.289 * [backup-simplify]: Simplify (+ 0 0) into 0
8.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.290 * [taylor]: Taking taylor expansion of 1 in im
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [taylor]: Taking taylor expansion of 0 in im
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.291 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.292 * [taylor]: Taking taylor expansion of 1/2 in im
8.292 * [backup-simplify]: Simplify 1/2 into 1/2
8.292 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.292 * [taylor]: Taking taylor expansion of im in im
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.292 * [backup-simplify]: Simplify (* 1 1) into 1
8.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.295 * [backup-simplify]: Simplify (+ 0 0) into 0
8.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.296 * [taylor]: Taking taylor expansion of 0 in im
8.296 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.297 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.297 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.297 * [taylor]: Taking taylor expansion of re in im
8.297 * [backup-simplify]: Simplify re into re
8.297 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.298 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.298 * [taylor]: Taking taylor expansion of im in im
8.298 * [backup-simplify]: Simplify 0 into 0
8.298 * [backup-simplify]: Simplify 1 into 1
8.298 * [backup-simplify]: Simplify (* 1 1) into 1
8.298 * [backup-simplify]: Simplify (/ 1 1) into 1
8.298 * [backup-simplify]: Simplify (+ 0 1) into 1
8.299 * [backup-simplify]: Simplify (sqrt 1) into 1
8.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.300 * [backup-simplify]: Simplify (+ 0 0) into 0
8.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.300 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.300 * [taylor]: Taking taylor expansion of re in re
8.300 * [backup-simplify]: Simplify 0 into 0
8.300 * [backup-simplify]: Simplify 1 into 1
8.301 * [backup-simplify]: Simplify (* 1 1) into 1
8.301 * [backup-simplify]: Simplify (/ 1 1) into 1
8.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.301 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.301 * [taylor]: Taking taylor expansion of im in re
8.301 * [backup-simplify]: Simplify im into im
8.301 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.301 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.301 * [backup-simplify]: Simplify (+ 1 0) into 1
8.302 * [backup-simplify]: Simplify (sqrt 1) into 1
8.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.303 * [backup-simplify]: Simplify (+ 0 0) into 0
8.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.303 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.303 * [taylor]: Taking taylor expansion of re in re
8.303 * [backup-simplify]: Simplify 0 into 0
8.303 * [backup-simplify]: Simplify 1 into 1
8.304 * [backup-simplify]: Simplify (* 1 1) into 1
8.304 * [backup-simplify]: Simplify (/ 1 1) into 1
8.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.304 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.304 * [taylor]: Taking taylor expansion of im in re
8.304 * [backup-simplify]: Simplify im into im
8.304 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.304 * [backup-simplify]: Simplify (+ 1 0) into 1
8.305 * [backup-simplify]: Simplify (sqrt 1) into 1
8.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.306 * [backup-simplify]: Simplify (+ 0 0) into 0
8.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.306 * [taylor]: Taking taylor expansion of 1 in im
8.306 * [backup-simplify]: Simplify 1 into 1
8.306 * [taylor]: Taking taylor expansion of 0 in im
8.306 * [backup-simplify]: Simplify 0 into 0
8.306 * [backup-simplify]: Simplify 1 into 1
8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.310 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.310 * [taylor]: Taking taylor expansion of 1/2 in im
8.310 * [backup-simplify]: Simplify 1/2 into 1/2
8.310 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.310 * [taylor]: Taking taylor expansion of im in im
8.310 * [backup-simplify]: Simplify 0 into 0
8.310 * [backup-simplify]: Simplify 1 into 1
8.310 * [backup-simplify]: Simplify (* 1 1) into 1
8.311 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.312 * [backup-simplify]: Simplify 0 into 0
8.312 * [backup-simplify]: Simplify 0 into 0
8.312 * [backup-simplify]: Simplify 0 into 0
8.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.318 * [backup-simplify]: Simplify (+ 0 0) into 0
8.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.319 * [taylor]: Taking taylor expansion of 0 in im
8.319 * [backup-simplify]: Simplify 0 into 0
8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.321 * [backup-simplify]: Simplify 0 into 0
8.321 * [backup-simplify]: Simplify 0 into 0
8.321 * [backup-simplify]: Simplify 0 into 0
8.321 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.321 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1)
8.321 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
8.321 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.321 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.321 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.321 * [taylor]: Taking taylor expansion of im in im
8.321 * [backup-simplify]: Simplify 0 into 0
8.321 * [backup-simplify]: Simplify 1 into 1
8.321 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.321 * [taylor]: Taking taylor expansion of re in im
8.321 * [backup-simplify]: Simplify re into re
8.321 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.322 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.322 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.322 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.322 * [backup-simplify]: Simplify (+ 0 0) into 0
8.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.322 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.322 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.322 * [taylor]: Taking taylor expansion of im in re
8.322 * [backup-simplify]: Simplify im into im
8.322 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.322 * [taylor]: Taking taylor expansion of re in re
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify 1 into 1
8.322 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.323 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.323 * [backup-simplify]: Simplify (+ 0 0) into 0
8.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.323 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.323 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.323 * [taylor]: Taking taylor expansion of im in re
8.323 * [backup-simplify]: Simplify im into im
8.323 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.323 * [taylor]: Taking taylor expansion of re in re
8.323 * [backup-simplify]: Simplify 0 into 0
8.323 * [backup-simplify]: Simplify 1 into 1
8.324 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.324 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.324 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.324 * [backup-simplify]: Simplify (+ 0 0) into 0
8.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.324 * [taylor]: Taking taylor expansion of im in im
8.324 * [backup-simplify]: Simplify 0 into 0
8.324 * [backup-simplify]: Simplify 1 into 1
8.324 * [backup-simplify]: Simplify 0 into 0
8.324 * [taylor]: Taking taylor expansion of 0 in im
8.325 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify 0 into 0
8.325 * [backup-simplify]: Simplify 1 into 1
8.325 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.325 * [backup-simplify]: Simplify (* 1 1) into 1
8.326 * [backup-simplify]: Simplify (+ 0 1) into 1
8.327 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.327 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.327 * [taylor]: Taking taylor expansion of 1/2 in im
8.327 * [backup-simplify]: Simplify 1/2 into 1/2
8.327 * [taylor]: Taking taylor expansion of im in im
8.327 * [backup-simplify]: Simplify 0 into 0
8.327 * [backup-simplify]: Simplify 1 into 1
8.327 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify 0 into 0
8.329 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.330 * [backup-simplify]: Simplify (+ 0 0) into 0
8.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.330 * [taylor]: Taking taylor expansion of 0 in im
8.330 * [backup-simplify]: Simplify 0 into 0
8.330 * [backup-simplify]: Simplify 0 into 0
8.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.332 * [backup-simplify]: Simplify 0 into 0
8.332 * [backup-simplify]: Simplify 0 into 0
8.332 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.332 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.332 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.332 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.332 * [taylor]: Taking taylor expansion of re in im
8.332 * [backup-simplify]: Simplify re into re
8.332 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.332 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.332 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.332 * [taylor]: Taking taylor expansion of im in im
8.332 * [backup-simplify]: Simplify 0 into 0
8.332 * [backup-simplify]: Simplify 1 into 1
8.333 * [backup-simplify]: Simplify (* 1 1) into 1
8.333 * [backup-simplify]: Simplify (/ 1 1) into 1
8.334 * [backup-simplify]: Simplify (+ 0 1) into 1
8.334 * [backup-simplify]: Simplify (sqrt 1) into 1
8.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.336 * [backup-simplify]: Simplify (+ 0 0) into 0
8.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.337 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.337 * [taylor]: Taking taylor expansion of re in re
8.337 * [backup-simplify]: Simplify 0 into 0
8.337 * [backup-simplify]: Simplify 1 into 1
8.337 * [backup-simplify]: Simplify (* 1 1) into 1
8.338 * [backup-simplify]: Simplify (/ 1 1) into 1
8.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.338 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.338 * [taylor]: Taking taylor expansion of im in re
8.338 * [backup-simplify]: Simplify im into im
8.338 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.338 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.338 * [backup-simplify]: Simplify (+ 1 0) into 1
8.339 * [backup-simplify]: Simplify (sqrt 1) into 1
8.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.341 * [backup-simplify]: Simplify (+ 0 0) into 0
8.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.342 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.342 * [taylor]: Taking taylor expansion of re in re
8.342 * [backup-simplify]: Simplify 0 into 0
8.342 * [backup-simplify]: Simplify 1 into 1
8.342 * [backup-simplify]: Simplify (* 1 1) into 1
8.343 * [backup-simplify]: Simplify (/ 1 1) into 1
8.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.343 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.343 * [taylor]: Taking taylor expansion of im in re
8.343 * [backup-simplify]: Simplify im into im
8.343 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.343 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.343 * [backup-simplify]: Simplify (+ 1 0) into 1
8.344 * [backup-simplify]: Simplify (sqrt 1) into 1
8.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.345 * [backup-simplify]: Simplify (+ 0 0) into 0
8.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.346 * [taylor]: Taking taylor expansion of 1 in im
8.346 * [backup-simplify]: Simplify 1 into 1
8.346 * [taylor]: Taking taylor expansion of 0 in im
8.346 * [backup-simplify]: Simplify 0 into 0
8.346 * [backup-simplify]: Simplify 1 into 1
8.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.348 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.350 * [taylor]: Taking taylor expansion of 1/2 in im
8.350 * [backup-simplify]: Simplify 1/2 into 1/2
8.350 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.350 * [taylor]: Taking taylor expansion of im in im
8.350 * [backup-simplify]: Simplify 0 into 0
8.350 * [backup-simplify]: Simplify 1 into 1
8.350 * [backup-simplify]: Simplify (* 1 1) into 1
8.351 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.352 * [backup-simplify]: Simplify 0 into 0
8.352 * [backup-simplify]: Simplify 0 into 0
8.352 * [backup-simplify]: Simplify 0 into 0
8.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.355 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.355 * [backup-simplify]: Simplify (+ 0 0) into 0
8.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.356 * [taylor]: Taking taylor expansion of 0 in im
8.356 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.358 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
8.358 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.358 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.359 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.359 * [taylor]: Taking taylor expansion of re in im
8.359 * [backup-simplify]: Simplify re into re
8.359 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.359 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.359 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.359 * [taylor]: Taking taylor expansion of im in im
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 1 into 1
8.359 * [backup-simplify]: Simplify (* 1 1) into 1
8.360 * [backup-simplify]: Simplify (/ 1 1) into 1
8.360 * [backup-simplify]: Simplify (+ 0 1) into 1
8.361 * [backup-simplify]: Simplify (sqrt 1) into 1
8.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.362 * [backup-simplify]: Simplify (+ 0 0) into 0
8.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.363 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.363 * [taylor]: Taking taylor expansion of re in re
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (* 1 1) into 1
8.364 * [backup-simplify]: Simplify (/ 1 1) into 1
8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.364 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.364 * [taylor]: Taking taylor expansion of im in re
8.364 * [backup-simplify]: Simplify im into im
8.364 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.364 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.365 * [backup-simplify]: Simplify (+ 1 0) into 1
8.365 * [backup-simplify]: Simplify (sqrt 1) into 1
8.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.367 * [backup-simplify]: Simplify (+ 0 0) into 0
8.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.368 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.368 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.368 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.368 * [taylor]: Taking taylor expansion of re in re
8.368 * [backup-simplify]: Simplify 0 into 0
8.368 * [backup-simplify]: Simplify 1 into 1
8.368 * [backup-simplify]: Simplify (* 1 1) into 1
8.369 * [backup-simplify]: Simplify (/ 1 1) into 1
8.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.369 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.369 * [taylor]: Taking taylor expansion of im in re
8.369 * [backup-simplify]: Simplify im into im
8.369 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.369 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.369 * [backup-simplify]: Simplify (+ 1 0) into 1
8.370 * [backup-simplify]: Simplify (sqrt 1) into 1
8.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.372 * [backup-simplify]: Simplify (+ 0 0) into 0
8.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.372 * [taylor]: Taking taylor expansion of 1 in im
8.372 * [backup-simplify]: Simplify 1 into 1
8.373 * [taylor]: Taking taylor expansion of 0 in im
8.373 * [backup-simplify]: Simplify 0 into 0
8.373 * [backup-simplify]: Simplify 1 into 1
8.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.375 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.376 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.376 * [taylor]: Taking taylor expansion of 1/2 in im
8.376 * [backup-simplify]: Simplify 1/2 into 1/2
8.376 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.376 * [taylor]: Taking taylor expansion of im in im
8.376 * [backup-simplify]: Simplify 0 into 0
8.376 * [backup-simplify]: Simplify 1 into 1
8.376 * [backup-simplify]: Simplify (* 1 1) into 1
8.377 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.378 * [backup-simplify]: Simplify 0 into 0
8.379 * [backup-simplify]: Simplify 0 into 0
8.379 * [backup-simplify]: Simplify 0 into 0
8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.381 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.381 * [backup-simplify]: Simplify (+ 0 0) into 0
8.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.382 * [taylor]: Taking taylor expansion of 0 in im
8.382 * [backup-simplify]: Simplify 0 into 0
8.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.384 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
8.385 * [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))))
8.385 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0
8.385 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im
8.385 * [taylor]: Taking taylor expansion of re in im
8.385 * [backup-simplify]: Simplify re into re
8.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.385 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.385 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.385 * [taylor]: Taking taylor expansion of im in im
8.385 * [backup-simplify]: Simplify 0 into 0
8.385 * [backup-simplify]: Simplify 1 into 1
8.385 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.385 * [taylor]: Taking taylor expansion of re in im
8.385 * [backup-simplify]: Simplify re into re
8.385 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.385 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.385 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.385 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.386 * [backup-simplify]: Simplify (+ 0 0) into 0
8.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.386 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.386 * [taylor]: Taking taylor expansion of re in re
8.386 * [backup-simplify]: Simplify 0 into 0
8.386 * [backup-simplify]: Simplify 1 into 1
8.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.386 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.386 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.386 * [taylor]: Taking taylor expansion of im in re
8.386 * [backup-simplify]: Simplify im into im
8.386 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.386 * [taylor]: Taking taylor expansion of re in re
8.386 * [backup-simplify]: Simplify 0 into 0
8.386 * [backup-simplify]: Simplify 1 into 1
8.386 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.386 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.387 * [backup-simplify]: Simplify (+ 0 0) into 0
8.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.387 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re
8.387 * [taylor]: Taking taylor expansion of re in re
8.387 * [backup-simplify]: Simplify 0 into 0
8.387 * [backup-simplify]: Simplify 1 into 1
8.387 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.387 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.387 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.387 * [taylor]: Taking taylor expansion of im in re
8.387 * [backup-simplify]: Simplify im into im
8.387 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.387 * [taylor]: Taking taylor expansion of re in re
8.387 * [backup-simplify]: Simplify 0 into 0
8.387 * [backup-simplify]: Simplify 1 into 1
8.387 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.387 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.387 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.388 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.388 * [backup-simplify]: Simplify (+ 0 0) into 0
8.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.388 * [backup-simplify]: Simplify (+ 0 im) into im
8.388 * [taylor]: Taking taylor expansion of im in im
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [backup-simplify]: Simplify 1 into 1
8.388 * [backup-simplify]: Simplify 0 into 0
8.389 * [backup-simplify]: Simplify (+ 1 0) into 1
8.389 * [taylor]: Taking taylor expansion of 1 in im
8.389 * [backup-simplify]: Simplify 1 into 1
8.389 * [backup-simplify]: Simplify 1 into 1
8.389 * [backup-simplify]: Simplify 1 into 1
8.389 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.390 * [backup-simplify]: Simplify (* 1 1) into 1
8.390 * [backup-simplify]: Simplify (+ 0 1) into 1
8.391 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.391 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im))
8.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.391 * [taylor]: Taking taylor expansion of 1/2 in im
8.391 * [backup-simplify]: Simplify 1/2 into 1/2
8.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.391 * [taylor]: Taking taylor expansion of im in im
8.391 * [backup-simplify]: Simplify 0 into 0
8.391 * [backup-simplify]: Simplify 1 into 1
8.392 * [backup-simplify]: Simplify (/ 1 1) into 1
8.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.393 * [backup-simplify]: Simplify 0 into 0
8.393 * [backup-simplify]: Simplify 0 into 0
8.393 * [backup-simplify]: Simplify 0 into 0
8.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.395 * [backup-simplify]: Simplify (+ 0 0) into 0
8.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.396 * [backup-simplify]: Simplify (+ 0 0) into 0
8.396 * [taylor]: Taking taylor expansion of 0 in im
8.396 * [backup-simplify]: Simplify 0 into 0
8.396 * [backup-simplify]: Simplify 0 into 0
8.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.399 * [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)))))
8.399 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0
8.399 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im
8.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.399 * [taylor]: Taking taylor expansion of re in im
8.399 * [backup-simplify]: Simplify re into re
8.399 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.399 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.399 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.399 * [taylor]: Taking taylor expansion of re in im
8.399 * [backup-simplify]: Simplify re into re
8.399 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.399 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.399 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.399 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.399 * [taylor]: Taking taylor expansion of im in im
8.399 * [backup-simplify]: Simplify 0 into 0
8.399 * [backup-simplify]: Simplify 1 into 1
8.400 * [backup-simplify]: Simplify (* 1 1) into 1
8.400 * [backup-simplify]: Simplify (/ 1 1) into 1
8.400 * [backup-simplify]: Simplify (+ 0 1) into 1
8.401 * [backup-simplify]: Simplify (sqrt 1) into 1
8.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.403 * [backup-simplify]: Simplify (+ 0 0) into 0
8.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.404 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.404 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.404 * [taylor]: Taking taylor expansion of re in re
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify 1 into 1
8.404 * [backup-simplify]: Simplify (/ 1 1) into 1
8.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.404 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.404 * [taylor]: Taking taylor expansion of re in re
8.404 * [backup-simplify]: Simplify 0 into 0
8.404 * [backup-simplify]: Simplify 1 into 1
8.405 * [backup-simplify]: Simplify (* 1 1) into 1
8.405 * [backup-simplify]: Simplify (/ 1 1) into 1
8.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.405 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.405 * [taylor]: Taking taylor expansion of im in re
8.405 * [backup-simplify]: Simplify im into im
8.405 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.405 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.406 * [backup-simplify]: Simplify (+ 1 0) into 1
8.406 * [backup-simplify]: Simplify (sqrt 1) into 1
8.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.408 * [backup-simplify]: Simplify (+ 0 0) into 0
8.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.409 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re
8.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.409 * [taylor]: Taking taylor expansion of re in re
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 1 into 1
8.409 * [backup-simplify]: Simplify (/ 1 1) into 1
8.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.409 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.409 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.409 * [taylor]: Taking taylor expansion of re in re
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 1 into 1
8.410 * [backup-simplify]: Simplify (* 1 1) into 1
8.410 * [backup-simplify]: Simplify (/ 1 1) into 1
8.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.410 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.410 * [taylor]: Taking taylor expansion of im in re
8.410 * [backup-simplify]: Simplify im into im
8.410 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.411 * [backup-simplify]: Simplify (+ 1 0) into 1
8.411 * [backup-simplify]: Simplify (sqrt 1) into 1
8.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.413 * [backup-simplify]: Simplify (+ 0 0) into 0
8.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.414 * [backup-simplify]: Simplify (+ 1 1) into 2
8.414 * [taylor]: Taking taylor expansion of 2 in im
8.414 * [backup-simplify]: Simplify 2 into 2
8.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.416 * [backup-simplify]: Simplify (+ 0 0) into 0
8.416 * [taylor]: Taking taylor expansion of 0 in im
8.416 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify 2 into 2
8.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.420 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.420 * [taylor]: Taking taylor expansion of 1/2 in im
8.420 * [backup-simplify]: Simplify 1/2 into 1/2
8.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.420 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.420 * [taylor]: Taking taylor expansion of im in im
8.420 * [backup-simplify]: Simplify 0 into 0
8.420 * [backup-simplify]: Simplify 1 into 1
8.421 * [backup-simplify]: Simplify (* 1 1) into 1
8.421 * [backup-simplify]: Simplify (/ 1 1) into 1
8.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.423 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify 0 into 0
8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.426 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.427 * [backup-simplify]: Simplify (+ 0 0) into 0
8.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.428 * [backup-simplify]: Simplify (+ 0 0) into 0
8.428 * [taylor]: Taking taylor expansion of 0 in im
8.428 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.431 * [backup-simplify]: Simplify 0 into 0
8.431 * [backup-simplify]: Simplify 0 into 0
8.431 * [backup-simplify]: Simplify 0 into 0
8.431 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
8.431 * [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))
8.431 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0
8.432 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im
8.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.432 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.432 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.432 * [taylor]: Taking taylor expansion of re in im
8.432 * [backup-simplify]: Simplify re into re
8.432 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.432 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.432 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.432 * [taylor]: Taking taylor expansion of im in im
8.432 * [backup-simplify]: Simplify 0 into 0
8.432 * [backup-simplify]: Simplify 1 into 1
8.432 * [backup-simplify]: Simplify (* 1 1) into 1
8.433 * [backup-simplify]: Simplify (/ 1 1) into 1
8.433 * [backup-simplify]: Simplify (+ 0 1) into 1
8.434 * [backup-simplify]: Simplify (sqrt 1) into 1
8.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.435 * [backup-simplify]: Simplify (+ 0 0) into 0
8.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.436 * [taylor]: Taking taylor expansion of re in im
8.436 * [backup-simplify]: Simplify re into re
8.436 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.436 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.436 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.436 * [taylor]: Taking taylor expansion of re in re
8.436 * [backup-simplify]: Simplify 0 into 0
8.436 * [backup-simplify]: Simplify 1 into 1
8.437 * [backup-simplify]: Simplify (* 1 1) into 1
8.437 * [backup-simplify]: Simplify (/ 1 1) into 1
8.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.437 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.437 * [taylor]: Taking taylor expansion of im in re
8.437 * [backup-simplify]: Simplify im into im
8.437 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.438 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.438 * [backup-simplify]: Simplify (+ 1 0) into 1
8.438 * [backup-simplify]: Simplify (sqrt 1) into 1
8.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.440 * [backup-simplify]: Simplify (+ 0 0) into 0
8.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.441 * [taylor]: Taking taylor expansion of re in re
8.441 * [backup-simplify]: Simplify 0 into 0
8.441 * [backup-simplify]: Simplify 1 into 1
8.441 * [backup-simplify]: Simplify (/ 1 1) into 1
8.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re
8.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.442 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.442 * [taylor]: Taking taylor expansion of re in re
8.442 * [backup-simplify]: Simplify 0 into 0
8.442 * [backup-simplify]: Simplify 1 into 1
8.442 * [backup-simplify]: Simplify (* 1 1) into 1
8.442 * [backup-simplify]: Simplify (/ 1 1) into 1
8.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.442 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.442 * [taylor]: Taking taylor expansion of im in re
8.443 * [backup-simplify]: Simplify im into im
8.443 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.443 * [backup-simplify]: Simplify (+ 1 0) into 1
8.443 * [backup-simplify]: Simplify (sqrt 1) into 1
8.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.445 * [backup-simplify]: Simplify (+ 0 0) into 0
8.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.446 * [taylor]: Taking taylor expansion of re in re
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 1 into 1
8.447 * [backup-simplify]: Simplify (/ 1 1) into 1
8.447 * [backup-simplify]: Simplify (- 1) into -1
8.447 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.448 * [taylor]: Taking taylor expansion of 0 in im
8.448 * [backup-simplify]: Simplify 0 into 0
8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (- 0) into 0
8.449 * [backup-simplify]: Simplify (+ 0 0) into 0
8.449 * [taylor]: Taking taylor expansion of 0 in im
8.449 * [backup-simplify]: Simplify 0 into 0
8.449 * [backup-simplify]: Simplify 0 into 0
8.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.451 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.452 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.454 * [backup-simplify]: Simplify (- 0) into 0
8.454 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.454 * [taylor]: Taking taylor expansion of 1/2 in im
8.454 * [backup-simplify]: Simplify 1/2 into 1/2
8.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.454 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.454 * [taylor]: Taking taylor expansion of im in im
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.454 * [backup-simplify]: Simplify (* 1 1) into 1
8.455 * [backup-simplify]: Simplify (/ 1 1) into 1
8.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 0 into 0
8.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.460 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.462 * [backup-simplify]: Simplify (- 0) into 0
8.462 * [backup-simplify]: Simplify (+ 0 0) into 0
8.462 * [taylor]: Taking taylor expansion of 0 in im
8.462 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1)
8.468 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2)))
8.468 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
8.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
8.468 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
8.468 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.468 * [taylor]: Taking taylor expansion of im in im
8.468 * [backup-simplify]: Simplify 0 into 0
8.468 * [backup-simplify]: Simplify 1 into 1
8.468 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.468 * [taylor]: Taking taylor expansion of re in im
8.469 * [backup-simplify]: Simplify re into re
8.469 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.469 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
8.469 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.469 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.469 * [backup-simplify]: Simplify (+ 0 0) into 0
8.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.469 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.469 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.469 * [taylor]: Taking taylor expansion of im in re
8.470 * [backup-simplify]: Simplify im into im
8.470 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.470 * [taylor]: Taking taylor expansion of re in re
8.470 * [backup-simplify]: Simplify 0 into 0
8.470 * [backup-simplify]: Simplify 1 into 1
8.470 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.470 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.470 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.470 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.470 * [backup-simplify]: Simplify (+ 0 0) into 0
8.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
8.470 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
8.471 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.471 * [taylor]: Taking taylor expansion of im in re
8.471 * [backup-simplify]: Simplify im into im
8.471 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.471 * [taylor]: Taking taylor expansion of re in re
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.471 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.471 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
8.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.471 * [backup-simplify]: Simplify (+ 0 0) into 0
8.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.471 * [taylor]: Taking taylor expansion of im in im
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [taylor]: Taking taylor expansion of 0 in im
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.472 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.472 * [backup-simplify]: Simplify (* 1 1) into 1
8.472 * [backup-simplify]: Simplify (+ 0 1) into 1
8.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.473 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
8.473 * [taylor]: Taking taylor expansion of 1/2 in im
8.473 * [backup-simplify]: Simplify 1/2 into 1/2
8.473 * [taylor]: Taking taylor expansion of im in im
8.473 * [backup-simplify]: Simplify 0 into 0
8.473 * [backup-simplify]: Simplify 1 into 1
8.473 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.474 * [backup-simplify]: Simplify 0 into 0
8.474 * [backup-simplify]: Simplify 0 into 0
8.474 * [backup-simplify]: Simplify 0 into 0
8.474 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.475 * [backup-simplify]: Simplify (+ 0 0) into 0
8.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.475 * [taylor]: Taking taylor expansion of 0 in im
8.475 * [backup-simplify]: Simplify 0 into 0
8.475 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.476 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify 0 into 0
8.476 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
8.476 * [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))))
8.476 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.476 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.476 * [taylor]: Taking taylor expansion of re in im
8.476 * [backup-simplify]: Simplify re into re
8.476 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.476 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.476 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.477 * [taylor]: Taking taylor expansion of im in im
8.477 * [backup-simplify]: Simplify 0 into 0
8.477 * [backup-simplify]: Simplify 1 into 1
8.477 * [backup-simplify]: Simplify (* 1 1) into 1
8.477 * [backup-simplify]: Simplify (/ 1 1) into 1
8.477 * [backup-simplify]: Simplify (+ 0 1) into 1
8.478 * [backup-simplify]: Simplify (sqrt 1) into 1
8.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.479 * [backup-simplify]: Simplify (+ 0 0) into 0
8.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.479 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.479 * [taylor]: Taking taylor expansion of re in re
8.479 * [backup-simplify]: Simplify 0 into 0
8.479 * [backup-simplify]: Simplify 1 into 1
8.480 * [backup-simplify]: Simplify (* 1 1) into 1
8.480 * [backup-simplify]: Simplify (/ 1 1) into 1
8.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.480 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.480 * [taylor]: Taking taylor expansion of im in re
8.480 * [backup-simplify]: Simplify im into im
8.480 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.480 * [backup-simplify]: Simplify (+ 1 0) into 1
8.480 * [backup-simplify]: Simplify (sqrt 1) into 1
8.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.482 * [backup-simplify]: Simplify (+ 0 0) into 0
8.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.482 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.482 * [taylor]: Taking taylor expansion of re in re
8.482 * [backup-simplify]: Simplify 0 into 0
8.482 * [backup-simplify]: Simplify 1 into 1
8.482 * [backup-simplify]: Simplify (* 1 1) into 1
8.483 * [backup-simplify]: Simplify (/ 1 1) into 1
8.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.483 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.483 * [taylor]: Taking taylor expansion of im in re
8.483 * [backup-simplify]: Simplify im into im
8.483 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.483 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.483 * [backup-simplify]: Simplify (+ 1 0) into 1
8.483 * [backup-simplify]: Simplify (sqrt 1) into 1
8.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.485 * [backup-simplify]: Simplify (+ 0 0) into 0
8.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.485 * [taylor]: Taking taylor expansion of 1 in im
8.485 * [backup-simplify]: Simplify 1 into 1
8.485 * [taylor]: Taking taylor expansion of 0 in im
8.485 * [backup-simplify]: Simplify 0 into 0
8.485 * [backup-simplify]: Simplify 1 into 1
8.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.486 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.487 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.487 * [taylor]: Taking taylor expansion of 1/2 in im
8.487 * [backup-simplify]: Simplify 1/2 into 1/2
8.487 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.487 * [taylor]: Taking taylor expansion of im in im
8.487 * [backup-simplify]: Simplify 0 into 0
8.487 * [backup-simplify]: Simplify 1 into 1
8.488 * [backup-simplify]: Simplify (* 1 1) into 1
8.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.489 * [backup-simplify]: Simplify 0 into 0
8.489 * [backup-simplify]: Simplify 0 into 0
8.489 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.491 * [taylor]: Taking taylor expansion of 0 in im
8.491 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
8.493 * [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))))
8.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
8.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
8.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
8.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.493 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.493 * [taylor]: Taking taylor expansion of re in im
8.493 * [backup-simplify]: Simplify re into re
8.493 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.493 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.493 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.493 * [taylor]: Taking taylor expansion of im in im
8.493 * [backup-simplify]: Simplify 0 into 0
8.493 * [backup-simplify]: Simplify 1 into 1
8.493 * [backup-simplify]: Simplify (* 1 1) into 1
8.494 * [backup-simplify]: Simplify (/ 1 1) into 1
8.494 * [backup-simplify]: Simplify (+ 0 1) into 1
8.494 * [backup-simplify]: Simplify (sqrt 1) into 1
8.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.495 * [backup-simplify]: Simplify (+ 0 0) into 0
8.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.496 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.496 * [taylor]: Taking taylor expansion of re in re
8.496 * [backup-simplify]: Simplify 0 into 0
8.496 * [backup-simplify]: Simplify 1 into 1
8.496 * [backup-simplify]: Simplify (* 1 1) into 1
8.496 * [backup-simplify]: Simplify (/ 1 1) into 1
8.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.496 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.496 * [taylor]: Taking taylor expansion of im in re
8.496 * [backup-simplify]: Simplify im into im
8.496 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.497 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.497 * [backup-simplify]: Simplify (+ 1 0) into 1
8.497 * [backup-simplify]: Simplify (sqrt 1) into 1
8.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.498 * [backup-simplify]: Simplify (+ 0 0) into 0
8.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.499 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
8.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
8.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
8.499 * [taylor]: Taking taylor expansion of (pow re 2) in re
8.499 * [taylor]: Taking taylor expansion of re in re
8.499 * [backup-simplify]: Simplify 0 into 0
8.499 * [backup-simplify]: Simplify 1 into 1
8.499 * [backup-simplify]: Simplify (* 1 1) into 1
8.499 * [backup-simplify]: Simplify (/ 1 1) into 1
8.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
8.499 * [taylor]: Taking taylor expansion of (pow im 2) in re
8.499 * [taylor]: Taking taylor expansion of im in re
8.499 * [backup-simplify]: Simplify im into im
8.499 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.500 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
8.500 * [backup-simplify]: Simplify (+ 1 0) into 1
8.500 * [backup-simplify]: Simplify (sqrt 1) into 1
8.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.501 * [backup-simplify]: Simplify (+ 0 0) into 0
8.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.502 * [taylor]: Taking taylor expansion of 1 in im
8.502 * [backup-simplify]: Simplify 1 into 1
8.502 * [taylor]: Taking taylor expansion of 0 in im
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [backup-simplify]: Simplify 1 into 1
8.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.503 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.505 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.505 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
8.505 * [taylor]: Taking taylor expansion of 1/2 in im
8.505 * [backup-simplify]: Simplify 1/2 into 1/2
8.505 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.505 * [taylor]: Taking taylor expansion of im in im
8.505 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify 1 into 1
8.505 * [backup-simplify]: Simplify (* 1 1) into 1
8.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.507 * [backup-simplify]: Simplify 0 into 0
8.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
8.510 * [backup-simplify]: Simplify (+ 0 0) into 0
8.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.511 * [taylor]: Taking taylor expansion of 0 in im
8.511 * [backup-simplify]: Simplify 0 into 0
8.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify 0 into 0
8.513 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
8.514 * * * [progress]: simplifying candidates
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.514 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.515 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))))>
8.516 * * * * [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)))))>
8.516 * * * * [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)))))))>
8.516 * * * * [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)))))))>
8.516 * * * * [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)))))))>
8.516 * * * * [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)))))))>
8.517 * * * * [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)))))))>
8.517 * * * * [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))))))))>
8.517 * * * * [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))))))>
8.517 * * * * [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))))))>
8.517 * * * * [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)))))))>
8.517 * * * * [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))))))))))>
8.517 * * * * [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)))))>
8.517 * * * * [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)))))>
8.517 * * * * [progress]: [ 47 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
8.517 * * * * [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)))))>
8.517 * * * * [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)))))>
8.517 * * * * [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)))))>
8.517 * * * * [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)))))>
8.517 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [progress]: [ 59 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) 2) re)))))>
8.518 * * * * [progress]: [ 60 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1)) re)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.518 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [progress]: [ 70 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.519 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
8.520 * * * * [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)))))>
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8.521 * * * * [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)))))>
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8.521 * * * * [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)))))>
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8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.522 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
8.523 * * * * [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)))))>
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8.524 * * * * [progress]: [ 135 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>
8.524 * * * * [progress]: [ 136 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re)))))>
8.524 * * * * [progress]: [ 137 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 0))))>
8.524 * * * * [progress]: [ 138 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re)))))>
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8.524 * * * * [progress]: [ 140 / 140 ] simplifiying candidate #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* -1 re) re)))))>
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8.531 * * [simplify]: iteration 1: (136 enodes)
8.602 * * [simplify]: iteration 2: (503 enodes)
8.739 * * [simplify]: iteration 3: (969 enodes)
9.163 * * [simplify]: Extracting #0: cost 48 inf + 0
9.164 * * [simplify]: Extracting #1: cost 213 inf + 6
9.169 * * [simplify]: Extracting #2: cost 387 inf + 8049
9.189 * * [simplify]: Extracting #3: cost 306 inf + 54771
9.233 * * [simplify]: Extracting #4: cost 85 inf + 118078
9.281 * * [simplify]: Extracting #5: cost 11 inf + 142927
9.324 * * [simplify]: Extracting #6: cost 0 inf + 147831
9.383 * [simplify]: Simplified to (log (sqrt (+ (* re re) (* im im)))), (exp (sqrt (+ (* re re) (* im im)))), (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))), (cbrt (sqrt (+ (* re re) (* im im)))), (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))), (fabs (cbrt (+ (* re re) (* im im)))), (sqrt (cbrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), (sqrt (sqrt (+ (* re re) (* im im)))), 1, (sqrt (+ (* re re) (* im im))), (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))), (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))), (sqrt (* (- (* re re) (* 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) (- (* im im) (* re re))) (* (* 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) (* 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9.413 * * * [progress]: adding candidates to table
11.062 * [progress]: [Phase 3 of 3] Extracting.
11.062 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.067 * * * [regime-changes]: Trying 4 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re))
11.067 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.166 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.239 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))>)
11.329 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.431 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.533 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))>)
11.592 * * * [regime]: Found split indices: #<option (#s(si 1 128) #s(si 2 212) #s(si 7 255))>
11.593 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.794 * [regimes]: Found splitpoints: (#s(sp 1 re 4.953494487388565e-309) #s(sp 2 re 9.383285093579015e+93) #s(sp 7 re +nan.0)) , with alts (#<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (posit16->real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re re)))))> #<alt (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (* (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re)))))> #<alt (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im)))))>)
11.795 * [simplify]: Simplifying (if (<= re 4.953494487388565e-309) (* 0.5 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (if (<= re 9.383285093579015e+93) (* 0.5 (sqrt (* 2.0 (+ (* (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) re)))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
11.795 * * [simplify]: iteration 1: (37 enodes)
11.798 * * [simplify]: iteration 2: (48 enodes)
11.801 * * [simplify]: Extracting #0: cost 1 inf + 0
11.801 * * [simplify]: Extracting #1: cost 4 inf + 0
11.801 * * [simplify]: Extracting #2: cost 11 inf + 0
11.801 * * [simplify]: Extracting #3: cost 12 inf + 3
11.801 * * [simplify]: Extracting #4: cost 13 inf + 138
11.802 * * [simplify]: Extracting #5: cost 16 inf + 139
11.802 * * [simplify]: Extracting #6: cost 19 inf + 180
11.802 * * [simplify]: Extracting #7: cost 19 inf + 264
11.802 * * [simplify]: Extracting #8: cost 20 inf + 590
11.802 * * [simplify]: Extracting #9: cost 21 inf + 631
11.803 * * [simplify]: Extracting #10: cost 17 inf + 1359
11.804 * * [simplify]: Extracting #11: cost 10 inf + 3217
11.805 * * [simplify]: Extracting #12: cost 8 inf + 3781
11.806 * * [simplify]: Extracting #13: cost 6 inf + 4705
11.807 * * [simplify]: Extracting #14: cost 4 inf + 5870
11.809 * * [simplify]: Extracting #15: cost 3 inf + 6513
11.811 * * [simplify]: Extracting #16: cost 1 inf + 8172
11.814 * * [simplify]: Extracting #17: cost 0 inf + 9478
11.817 * [simplify]: Simplified to (if (<= re 4.953494487388565e-309) (* (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))) 0.5) (if (<= re 9.383285093579015e+93) (* 0.5 (sqrt (* (+ re (* (sqrt (sqrt (cbrt (+ (* im im) (* re re))))) (* (sqrt (fabs (cbrt (+ (* im im) (* re re))))) (sqrt (sqrt (+ (* im im) (* re re))))))) 2.0))) (* 0.5 (sqrt (* 2.0 (+ re re))))))
16.029 * [regime-testing]: Baseline error score: 37.71624287254882
16.031 * [regime-testing]: Oracle error score: 17.201003547576168
16.036 * [regime-testing]: End program error score: 26.095873904897697
16.105 * [regime-testing]: Target error score: 32.71533026538834