25.044 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.074 * * * [progress]: [2/2] Setting up program.
0.083 * [progress]: [Phase 2 of 3] Improving.
0.083 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.083 * * [simplify]: iteration 0: 12 enodes
0.087 * * [simplify]: iteration 1: 24 enodes
0.093 * * [simplify]: iteration 2: 30 enodes
0.099 * * [simplify]: iteration 3: 32 enodes
0.106 * * [simplify]: iteration complete: 32 enodes
0.106 * * [simplify]: Extracting #0: cost 1 inf + 0
0.106 * * [simplify]: Extracting #1: cost 3 inf + 0
0.106 * * [simplify]: Extracting #2: cost 3 inf + 1
0.106 * * [simplify]: Extracting #3: cost 9 inf + 1
0.106 * * [simplify]: Extracting #4: cost 8 inf + 45
0.107 * * [simplify]: Extracting #5: cost 3 inf + 833
0.107 * * [simplify]: Extracting #6: cost 1 inf + 915
0.107 * * [simplify]: Extracting #7: cost 0 inf + 1012
0.108 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
0.120 * * [progress]: iteration 1 / 4
0.120 * * * [progress]: picking best candidate
0.128 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))>
0.128 * * * [progress]: localizing error
0.150 * * * [progress]: generating rewritten candidates
0.150 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
0.156 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1)
0.161 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1)
0.162 * * * [progress]: generating series expansions
0.162 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
0.162 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
0.162 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0
0.162 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im
0.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.162 * [taylor]: Taking taylor expansion of 2.0 in im
0.162 * [backup-simplify]: Simplify 2.0 into 2.0
0.163 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
0.163 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
0.163 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.163 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.163 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.163 * [taylor]: Taking taylor expansion of (* re re) in im
0.163 * [taylor]: Taking taylor expansion of re in im
0.163 * [backup-simplify]: Simplify re into re
0.163 * [taylor]: Taking taylor expansion of re in im
0.163 * [backup-simplify]: Simplify re into re
0.163 * [taylor]: Taking taylor expansion of (* im im) in im
0.163 * [taylor]: Taking taylor expansion of im in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.163 * [taylor]: Taking taylor expansion of im in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.164 * [backup-simplify]: Simplify (* 0 0) into 0
0.164 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.164 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.165 * [taylor]: Taking taylor expansion of re in im
0.165 * [backup-simplify]: Simplify re into re
0.165 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.165 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.165 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
0.165 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.165 * [taylor]: Taking taylor expansion of 2.0 in re
0.165 * [backup-simplify]: Simplify 2.0 into 2.0
0.166 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
0.166 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.166 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.166 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.166 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.166 * [taylor]: Taking taylor expansion of (* re re) in re
0.166 * [taylor]: Taking taylor expansion of re in re
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [taylor]: Taking taylor expansion of re in re
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 1 into 1
0.166 * [taylor]: Taking taylor expansion of (* im im) in re
0.166 * [taylor]: Taking taylor expansion of im in re
0.166 * [backup-simplify]: Simplify im into im
0.166 * [taylor]: Taking taylor expansion of im in re
0.167 * [backup-simplify]: Simplify im into im
0.167 * [backup-simplify]: Simplify (* 0 0) into 0
0.167 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.168 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.168 * [taylor]: Taking taylor expansion of re in re
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (+ im 0) into im
0.168 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.168 * [backup-simplify]: Simplify (+ 0 1) into 1
0.168 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
0.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.168 * [taylor]: Taking taylor expansion of 2.0 in re
0.168 * [backup-simplify]: Simplify 2.0 into 2.0
0.169 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
0.169 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.169 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.169 * [taylor]: Taking taylor expansion of (* re re) in re
0.169 * [taylor]: Taking taylor expansion of re in re
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of re in re
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of (* im im) in re
0.169 * [taylor]: Taking taylor expansion of im in re
0.169 * [backup-simplify]: Simplify im into im
0.169 * [taylor]: Taking taylor expansion of im in re
0.169 * [backup-simplify]: Simplify im into im
0.170 * [backup-simplify]: Simplify (* 0 0) into 0
0.170 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.170 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.171 * [taylor]: Taking taylor expansion of re in re
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (+ im 0) into im
0.171 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.171 * [backup-simplify]: Simplify (+ 0 1) into 1
0.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.172 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.172 * [taylor]: Taking taylor expansion of 2.0 in im
0.172 * [backup-simplify]: Simplify 2.0 into 2.0
0.172 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.173 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.173 * [taylor]: Taking taylor expansion of im in im
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (sqrt 0) into 0
0.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.176 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.176 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.177 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.177 * [taylor]: Taking taylor expansion of 1/2 in im
0.177 * [backup-simplify]: Simplify 1/2 into 1/2
0.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.177 * [taylor]: Taking taylor expansion of 2.0 in im
0.177 * [backup-simplify]: Simplify 2.0 into 2.0
0.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.179 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.179 * [taylor]: Taking taylor expansion of im in im
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (/ 1 1) into 1
0.179 * [backup-simplify]: Simplify (sqrt 0) into 0
0.181 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.183 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.184 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.187 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.195 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.196 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.197 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.197 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.198 * [backup-simplify]: Simplify (+ 1 0) into 1
0.199 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.199 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.199 * [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))))
0.200 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.200 * [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)))))
0.200 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.200 * [taylor]: Taking taylor expansion of 1/8 in im
0.200 * [backup-simplify]: Simplify 1/8 into 1/8
0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.200 * [taylor]: Taking taylor expansion of 2.0 in im
0.200 * [backup-simplify]: Simplify 2.0 into 2.0
0.201 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.201 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.201 * [taylor]: Taking taylor expansion of im in im
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* 1 1) into 1
0.202 * [backup-simplify]: Simplify (* 1 1) into 1
0.202 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [backup-simplify]: Simplify (sqrt 0) into 0
0.203 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.207 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.208 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.210 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.210 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.214 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.218 * [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)))))))
0.218 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
0.218 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
0.218 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.219 * [taylor]: Taking taylor expansion of 2.0 in im
0.219 * [backup-simplify]: Simplify 2.0 into 2.0
0.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.220 * [taylor]: Taking taylor expansion of re in im
0.220 * [backup-simplify]: Simplify re into re
0.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.220 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.220 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.220 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.220 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.220 * [taylor]: Taking taylor expansion of re in im
0.220 * [backup-simplify]: Simplify re into re
0.220 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.220 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.220 * [taylor]: Taking taylor expansion of re in im
0.221 * [backup-simplify]: Simplify re into re
0.221 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.221 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.221 * [taylor]: Taking taylor expansion of im in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.221 * [backup-simplify]: Simplify (/ 1 1) into 1
0.221 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.221 * [taylor]: Taking taylor expansion of im in im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.222 * [backup-simplify]: Simplify (+ 0 1) into 1
0.223 * [backup-simplify]: Simplify (sqrt 1) into 1
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.227 * [backup-simplify]: Simplify (+ 0 1) into 1
0.227 * [backup-simplify]: Simplify (sqrt 0) into 0
0.229 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.229 * [taylor]: Taking taylor expansion of 2.0 in re
0.229 * [backup-simplify]: Simplify 2.0 into 2.0
0.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.230 * [taylor]: Taking taylor expansion of re in re
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.231 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.231 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.231 * [taylor]: Taking taylor expansion of re in re
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify (/ 1 1) into 1
0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.231 * [taylor]: Taking taylor expansion of re in re
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (/ 1 1) into 1
0.232 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.232 * [taylor]: Taking taylor expansion of im in re
0.232 * [backup-simplify]: Simplify im into im
0.232 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.232 * [taylor]: Taking taylor expansion of im in re
0.232 * [backup-simplify]: Simplify im into im
0.232 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (sqrt 1) into 1
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.235 * [backup-simplify]: Simplify (+ 1 1) into 2
0.235 * [backup-simplify]: Simplify (sqrt 0) into 0
0.236 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.236 * [taylor]: Taking taylor expansion of 2.0 in re
0.236 * [backup-simplify]: Simplify 2.0 into 2.0
0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.237 * [taylor]: Taking taylor expansion of re in re
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.237 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.237 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.237 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.237 * [taylor]: Taking taylor expansion of re in re
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (/ 1 1) into 1
0.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.237 * [taylor]: Taking taylor expansion of re in re
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 1 into 1
0.238 * [backup-simplify]: Simplify (/ 1 1) into 1
0.238 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.238 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.238 * [taylor]: Taking taylor expansion of im in re
0.238 * [backup-simplify]: Simplify im into im
0.238 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.238 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.238 * [taylor]: Taking taylor expansion of im in re
0.238 * [backup-simplify]: Simplify im into im
0.238 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.238 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (+ 1 0) into 1
0.239 * [backup-simplify]: Simplify (sqrt 1) into 1
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.241 * [backup-simplify]: Simplify (+ 1 1) into 2
0.241 * [backup-simplify]: Simplify (sqrt 0) into 0
0.242 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.242 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.242 * [taylor]: Taking taylor expansion of 0 in im
0.242 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.244 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.244 * [taylor]: Taking taylor expansion of +nan.0 in im
0.244 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.244 * [taylor]: Taking taylor expansion of 2.0 in im
0.244 * [backup-simplify]: Simplify 2.0 into 2.0
0.244 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.244 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.249 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.249 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.249 * [taylor]: Taking taylor expansion of +nan.0 in im
0.249 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.249 * [taylor]: Taking taylor expansion of 2.0 in im
0.249 * [backup-simplify]: Simplify 2.0 into 2.0
0.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.250 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.251 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.252 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.252 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.254 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.255 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.255 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.255 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.257 * [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))
0.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.258 * [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))))))
0.258 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.258 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.258 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.258 * [taylor]: Taking taylor expansion of +nan.0 in im
0.258 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.259 * [taylor]: Taking taylor expansion of 2.0 in im
0.259 * [backup-simplify]: Simplify 2.0 into 2.0
0.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.259 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.259 * [taylor]: Taking taylor expansion of +nan.0 in im
0.259 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.259 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.259 * [taylor]: Taking taylor expansion of 2.0 in im
0.259 * [backup-simplify]: Simplify 2.0 into 2.0
0.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.260 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.260 * [taylor]: Taking taylor expansion of im in im
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.263 * [backup-simplify]: Simplify (- 0) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (- 0) into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.266 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.268 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.268 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.269 * [backup-simplify]: Simplify (- 0) into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [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)))
0.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.281 * [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))))))
0.281 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.281 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.281 * [taylor]: Taking taylor expansion of +nan.0 in im
0.281 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.281 * [taylor]: Taking taylor expansion of 2.0 in im
0.281 * [backup-simplify]: Simplify 2.0 into 2.0
0.281 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.282 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.282 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.282 * [taylor]: Taking taylor expansion of +nan.0 in im
0.282 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.282 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.282 * [taylor]: Taking taylor expansion of 2.0 in im
0.282 * [backup-simplify]: Simplify 2.0 into 2.0
0.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.283 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.283 * [taylor]: Taking taylor expansion of im in im
0.283 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.288 * [backup-simplify]: Simplify (- 0) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.289 * [backup-simplify]: Simplify (- 0) into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.294 * [backup-simplify]: Simplify (- 0) into 0
0.296 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.298 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.300 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.308 * [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))))))))
0.308 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))
0.308 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.308 * [taylor]: Taking taylor expansion of 2.0 in im
0.308 * [backup-simplify]: Simplify 2.0 into 2.0
0.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.309 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.309 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.310 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.310 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.310 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.310 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.310 * [taylor]: Taking taylor expansion of -1 in im
0.310 * [backup-simplify]: Simplify -1 into -1
0.310 * [taylor]: Taking taylor expansion of re in im
0.310 * [backup-simplify]: Simplify re into re
0.310 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.310 * [taylor]: Taking taylor expansion of -1 in im
0.310 * [backup-simplify]: Simplify -1 into -1
0.310 * [taylor]: Taking taylor expansion of re in im
0.310 * [backup-simplify]: Simplify re into re
0.310 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.310 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.310 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.310 * [taylor]: Taking taylor expansion of -1 in im
0.310 * [backup-simplify]: Simplify -1 into -1
0.310 * [taylor]: Taking taylor expansion of im in im
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ -1 1) into -1
0.311 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.311 * [taylor]: Taking taylor expansion of -1 in im
0.311 * [backup-simplify]: Simplify -1 into -1
0.311 * [taylor]: Taking taylor expansion of im in im
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.311 * [backup-simplify]: Simplify (/ -1 1) into -1
0.312 * [backup-simplify]: Simplify (* -1 -1) into 1
0.312 * [backup-simplify]: Simplify (+ 0 1) into 1
0.313 * [backup-simplify]: Simplify (sqrt 1) into 1
0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.315 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.316 * [taylor]: Taking taylor expansion of re in im
0.316 * [backup-simplify]: Simplify re into re
0.316 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.317 * [backup-simplify]: Simplify (+ 1 0) into 1
0.317 * [backup-simplify]: Simplify (sqrt 0) into 0
0.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.319 * [taylor]: Taking taylor expansion of 2.0 in re
0.319 * [backup-simplify]: Simplify 2.0 into 2.0
0.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.320 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.320 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.320 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.320 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.320 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.320 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.320 * [taylor]: Taking taylor expansion of -1 in re
0.320 * [backup-simplify]: Simplify -1 into -1
0.320 * [taylor]: Taking taylor expansion of re in re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (/ -1 1) into -1
0.321 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.321 * [taylor]: Taking taylor expansion of -1 in re
0.321 * [backup-simplify]: Simplify -1 into -1
0.321 * [taylor]: Taking taylor expansion of re in re
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (/ -1 1) into -1
0.321 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.322 * [taylor]: Taking taylor expansion of -1 in re
0.322 * [backup-simplify]: Simplify -1 into -1
0.322 * [taylor]: Taking taylor expansion of im in re
0.322 * [backup-simplify]: Simplify im into im
0.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.322 * [taylor]: Taking taylor expansion of -1 in re
0.322 * [backup-simplify]: Simplify -1 into -1
0.322 * [taylor]: Taking taylor expansion of im in re
0.322 * [backup-simplify]: Simplify im into im
0.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.322 * [backup-simplify]: Simplify (* -1 -1) into 1
0.323 * [backup-simplify]: Simplify (+ 1 0) into 1
0.323 * [backup-simplify]: Simplify (sqrt 1) into 1
0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 (/ 1 re) 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
0.328 * [backup-simplify]: Simplify (- 1) into -1
0.328 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (- 0) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.333 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.333 * [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))
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- 0) into 0
0.336 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.337 * [backup-simplify]: Simplify (sqrt 0) into 0
0.338 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.338 * [taylor]: Taking taylor expansion of 2.0 in re
0.338 * [backup-simplify]: Simplify 2.0 into 2.0
0.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.339 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.339 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.339 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.340 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.340 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.340 * [taylor]: Taking taylor expansion of -1 in re
0.340 * [backup-simplify]: Simplify -1 into -1
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (/ -1 1) into -1
0.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.340 * [taylor]: Taking taylor expansion of -1 in re
0.340 * [backup-simplify]: Simplify -1 into -1
0.340 * [taylor]: Taking taylor expansion of re in re
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.341 * [backup-simplify]: Simplify (/ -1 1) into -1
0.341 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.341 * [taylor]: Taking taylor expansion of -1 in re
0.341 * [backup-simplify]: Simplify -1 into -1
0.341 * [taylor]: Taking taylor expansion of im in re
0.341 * [backup-simplify]: Simplify im into im
0.341 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.341 * [taylor]: Taking taylor expansion of -1 in re
0.341 * [backup-simplify]: Simplify -1 into -1
0.341 * [taylor]: Taking taylor expansion of im in re
0.341 * [backup-simplify]: Simplify im into im
0.341 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.342 * [backup-simplify]: Simplify (* -1 -1) into 1
0.342 * [backup-simplify]: Simplify (+ 1 0) into 1
0.343 * [backup-simplify]: Simplify (sqrt 1) into 1
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.347 * [taylor]: Taking taylor expansion of re in re
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [backup-simplify]: Simplify (- 1) into -1
0.348 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (- 0) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.353 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.353 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (- 0) into 0
0.356 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.356 * [backup-simplify]: Simplify (sqrt 0) into 0
0.357 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.358 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.358 * [taylor]: Taking taylor expansion of 0 in im
0.358 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.359 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.359 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.359 * [taylor]: Taking taylor expansion of +nan.0 in im
0.359 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.359 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.359 * [taylor]: Taking taylor expansion of 2.0 in im
0.359 * [backup-simplify]: Simplify 2.0 into 2.0
0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.360 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.360 * [taylor]: Taking taylor expansion of im in im
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (* 1 1) into 1
0.362 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.368 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.368 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify (- 0) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.375 * [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))))
0.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.375 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.375 * [taylor]: Taking taylor expansion of +nan.0 in im
0.375 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.375 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.375 * [taylor]: Taking taylor expansion of 2.0 in im
0.375 * [backup-simplify]: Simplify 2.0 into 2.0
0.376 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.377 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.377 * [taylor]: Taking taylor expansion of im in im
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.381 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.392 * [backup-simplify]: Simplify (- 0) into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.397 * [backup-simplify]: Simplify (- 0) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.401 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.401 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.402 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (- 0) into 0
0.405 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.406 * [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)))))
0.407 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.408 * [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))))))
0.409 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.409 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.409 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.409 * [taylor]: Taking taylor expansion of +nan.0 in im
0.409 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.409 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.409 * [taylor]: Taking taylor expansion of 2.0 in im
0.409 * [backup-simplify]: Simplify 2.0 into 2.0
0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.409 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.409 * [taylor]: Taking taylor expansion of im in im
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.411 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.411 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.411 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.411 * [taylor]: Taking taylor expansion of +nan.0 in im
0.411 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.411 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.411 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.411 * [taylor]: Taking taylor expansion of 2.0 in im
0.411 * [backup-simplify]: Simplify 2.0 into 2.0
0.411 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.411 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.411 * [taylor]: Taking taylor expansion of im in im
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1)
0.445 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re)
0.445 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
0.445 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
0.445 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.445 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.445 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.445 * [taylor]: Taking taylor expansion of (* re re) in im
0.445 * [taylor]: Taking taylor expansion of re in im
0.445 * [backup-simplify]: Simplify re into re
0.445 * [taylor]: Taking taylor expansion of re in im
0.445 * [backup-simplify]: Simplify re into re
0.445 * [taylor]: Taking taylor expansion of (* im im) 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 * [taylor]: Taking taylor expansion of im in im
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.446 * [backup-simplify]: Simplify (* 0 0) into 0
0.446 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.446 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.446 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.447 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.448 * [backup-simplify]: Simplify (+ 0 0) into 0
0.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.448 * [taylor]: Taking taylor expansion of re in im
0.448 * [backup-simplify]: Simplify re into re
0.448 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.448 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.448 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.448 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.448 * [taylor]: Taking taylor expansion of (* re re) in re
0.448 * [taylor]: Taking taylor expansion of re in re
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [taylor]: Taking taylor expansion of re in re
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [taylor]: Taking taylor expansion of (* im im) in re
0.448 * [taylor]: Taking taylor expansion of im in re
0.448 * [backup-simplify]: Simplify im into im
0.448 * [taylor]: Taking taylor expansion of im in re
0.448 * [backup-simplify]: Simplify im into im
0.449 * [backup-simplify]: Simplify (* 0 0) into 0
0.449 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.449 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.449 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.450 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.451 * [taylor]: Taking taylor expansion of re in re
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.451 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.451 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.451 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.451 * [taylor]: Taking taylor expansion of (* re re) in re
0.451 * [taylor]: Taking taylor expansion of re in re
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [taylor]: Taking taylor expansion of re in re
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify 1 into 1
0.451 * [taylor]: Taking taylor expansion of (* im im) in re
0.451 * [taylor]: Taking taylor expansion of im in re
0.451 * [backup-simplify]: Simplify im into im
0.451 * [taylor]: Taking taylor expansion of im in re
0.451 * [backup-simplify]: Simplify im into im
0.452 * [backup-simplify]: Simplify (* 0 0) into 0
0.452 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.452 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.452 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.453 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.453 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.454 * [taylor]: Taking taylor expansion of re in re
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (+ im 0) into im
0.454 * [taylor]: Taking taylor expansion of im in im
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify (+ 0 1) into 1
0.455 * [taylor]: Taking taylor expansion of 1 in im
0.455 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.456 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.456 * [backup-simplify]: Simplify (+ 1 0) into 1
0.457 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.457 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.458 * [taylor]: Taking taylor expansion of 1/2 in im
0.458 * [backup-simplify]: Simplify 1/2 into 1/2
0.458 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.458 * [taylor]: Taking taylor expansion of im in im
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 1 into 1
0.458 * [backup-simplify]: Simplify (/ 1 1) into 1
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 0 into 0
0.460 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.462 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [taylor]: Taking taylor expansion of 0 in im
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.464 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
0.464 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
0.464 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.464 * [taylor]: Taking taylor expansion of re in im
0.464 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.465 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.465 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.465 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.465 * [taylor]: Taking taylor expansion of re in im
0.465 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.465 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.465 * [taylor]: Taking taylor expansion of re in im
0.465 * [backup-simplify]: Simplify re into re
0.465 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.465 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.465 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.465 * [taylor]: Taking taylor expansion of im in im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify 1 into 1
0.465 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (+ 0 1) into 1
0.466 * [backup-simplify]: Simplify (sqrt 1) into 1
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.468 * [taylor]: Taking taylor expansion of re in re
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.469 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.469 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.469 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.469 * [taylor]: Taking taylor expansion of re in re
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.469 * [taylor]: Taking taylor expansion of re in re
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (/ 1 1) into 1
0.469 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.469 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.469 * [taylor]: Taking taylor expansion of im in re
0.469 * [backup-simplify]: Simplify im into im
0.470 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.470 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.470 * [taylor]: Taking taylor expansion of im in re
0.470 * [backup-simplify]: Simplify im into im
0.470 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (+ 1 0) into 1
0.470 * [backup-simplify]: Simplify (sqrt 1) into 1
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.472 * [backup-simplify]: Simplify (+ 0 0) into 0
0.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.472 * [taylor]: Taking taylor expansion of re in re
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
0.473 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.473 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.473 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.473 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.473 * [taylor]: Taking taylor expansion of re in re
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
0.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.473 * [taylor]: Taking taylor expansion of re in re
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.474 * [taylor]: Taking taylor expansion of im in re
0.474 * [backup-simplify]: Simplify im into im
0.474 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.474 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.474 * [taylor]: Taking taylor expansion of im in re
0.474 * [backup-simplify]: Simplify im into im
0.474 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.474 * [backup-simplify]: Simplify (* 1 1) into 1
0.474 * [backup-simplify]: Simplify (+ 1 0) into 1
0.474 * [backup-simplify]: Simplify (sqrt 1) into 1
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.477 * [backup-simplify]: Simplify (+ 1 1) into 2
0.477 * [taylor]: Taking taylor expansion of 2 in im
0.477 * [backup-simplify]: Simplify 2 into 2
0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ 0 0) into 0
0.477 * [taylor]: Taking taylor expansion of 0 in im
0.477 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 2 into 2
0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.480 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.480 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.481 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.481 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.481 * [taylor]: Taking taylor expansion of 1/2 in im
0.481 * [backup-simplify]: Simplify 1/2 into 1/2
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 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [taylor]: Taking taylor expansion of 0 in im
0.486 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.488 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.488 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.488 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.488 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.488 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.489 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.489 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.489 * [taylor]: Taking taylor expansion of -1 in im
0.489 * [backup-simplify]: Simplify -1 into -1
0.489 * [taylor]: Taking taylor expansion of re in im
0.489 * [backup-simplify]: Simplify re into re
0.489 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.489 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.489 * [taylor]: Taking taylor expansion of -1 in im
0.489 * [backup-simplify]: Simplify -1 into -1
0.489 * [taylor]: Taking taylor expansion of re in im
0.489 * [backup-simplify]: Simplify re into re
0.489 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.489 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.489 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.489 * [taylor]: Taking taylor expansion of -1 in im
0.489 * [backup-simplify]: Simplify -1 into -1
0.489 * [taylor]: Taking taylor expansion of im in im
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (/ -1 1) into -1
0.489 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.489 * [taylor]: Taking taylor expansion of -1 in im
0.489 * [backup-simplify]: Simplify -1 into -1
0.489 * [taylor]: Taking taylor expansion of im in im
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.490 * [backup-simplify]: Simplify (/ -1 1) into -1
0.490 * [backup-simplify]: Simplify (* -1 -1) into 1
0.490 * [backup-simplify]: Simplify (+ 0 1) into 1
0.490 * [backup-simplify]: Simplify (sqrt 1) into 1
0.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.493 * [backup-simplify]: Simplify (+ 0 0) into 0
0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.494 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.494 * [taylor]: Taking taylor expansion of re in im
0.494 * [backup-simplify]: Simplify re into re
0.494 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.494 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.494 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.494 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.494 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.494 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.494 * [taylor]: Taking taylor expansion of -1 in re
0.494 * [backup-simplify]: Simplify -1 into -1
0.494 * [taylor]: Taking taylor expansion of re in re
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 1 into 1
0.495 * [backup-simplify]: Simplify (/ -1 1) into -1
0.495 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.495 * [taylor]: Taking taylor expansion of -1 in re
0.495 * [backup-simplify]: Simplify -1 into -1
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
0.496 * [backup-simplify]: Simplify (/ -1 1) into -1
0.496 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.496 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.496 * [taylor]: Taking taylor expansion of -1 in re
0.496 * [backup-simplify]: Simplify -1 into -1
0.496 * [taylor]: Taking taylor expansion of im in re
0.496 * [backup-simplify]: Simplify im into im
0.496 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.496 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.496 * [taylor]: Taking taylor expansion of -1 in re
0.496 * [backup-simplify]: Simplify -1 into -1
0.496 * [taylor]: Taking taylor expansion of im in re
0.496 * [backup-simplify]: Simplify im into im
0.496 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.496 * [backup-simplify]: Simplify (* -1 -1) into 1
0.497 * [backup-simplify]: Simplify (+ 1 0) into 1
0.497 * [backup-simplify]: Simplify (sqrt 1) into 1
0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.500 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.501 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.501 * [taylor]: Taking taylor expansion of re in re
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 1 into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.502 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.502 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.502 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.502 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.502 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.502 * [taylor]: Taking taylor expansion of -1 in re
0.502 * [backup-simplify]: Simplify -1 into -1
0.502 * [taylor]: Taking taylor expansion of re in re
0.502 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify 1 into 1
0.502 * [backup-simplify]: Simplify (/ -1 1) into -1
0.502 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.502 * [taylor]: Taking taylor expansion of -1 in re
0.502 * [backup-simplify]: Simplify -1 into -1
0.503 * [taylor]: Taking taylor expansion of re in re
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (/ -1 1) into -1
0.503 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.503 * [taylor]: Taking taylor expansion of -1 in re
0.503 * [backup-simplify]: Simplify -1 into -1
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.503 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.503 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.503 * [taylor]: Taking taylor expansion of -1 in re
0.503 * [backup-simplify]: Simplify -1 into -1
0.503 * [taylor]: Taking taylor expansion of im in re
0.503 * [backup-simplify]: Simplify im into im
0.504 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.504 * [backup-simplify]: Simplify (* -1 -1) into 1
0.504 * [backup-simplify]: Simplify (+ 1 0) into 1
0.505 * [backup-simplify]: Simplify (sqrt 1) into 1
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.508 * [backup-simplify]: Simplify (+ 0 0) into 0
0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.508 * [taylor]: Taking taylor expansion of re in re
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify 1 into 1
0.509 * [backup-simplify]: Simplify (/ 1 1) into 1
0.509 * [backup-simplify]: Simplify (- 1) into -1
0.510 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in im
0.510 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.511 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [taylor]: Taking taylor expansion of 0 in im
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.515 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.515 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.517 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify (- 0) into 0
0.518 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.518 * [taylor]: Taking taylor expansion of 1/2 in im
0.518 * [backup-simplify]: Simplify 1/2 into 1/2
0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.518 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.518 * [taylor]: Taking taylor expansion of im in im
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 0) into 0
0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- 0) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.528 * [taylor]: Taking taylor expansion of 0 in im
0.528 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.531 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1)
0.532 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.532 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.532 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.532 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.532 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.532 * [taylor]: Taking taylor expansion of (* re re) in im
0.532 * [taylor]: Taking taylor expansion of re in im
0.532 * [backup-simplify]: Simplify re into re
0.532 * [taylor]: Taking taylor expansion of re in im
0.532 * [backup-simplify]: Simplify re into re
0.532 * [taylor]: Taking taylor expansion of (* im im) in im
0.532 * [taylor]: Taking taylor expansion of im in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [taylor]: Taking taylor expansion of im in im
0.532 * [backup-simplify]: Simplify 0 into 0
0.532 * [backup-simplify]: Simplify 1 into 1
0.532 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.533 * [backup-simplify]: Simplify (* 0 0) into 0
0.533 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.533 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.533 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.534 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.534 * [backup-simplify]: Simplify (+ 0 0) into 0
0.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.535 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.535 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.535 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.535 * [taylor]: Taking taylor expansion of (* re re) in re
0.535 * [taylor]: Taking taylor expansion of re in re
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [taylor]: Taking taylor expansion of re in re
0.535 * [backup-simplify]: Simplify 0 into 0
0.535 * [backup-simplify]: Simplify 1 into 1
0.535 * [taylor]: Taking taylor expansion of (* im im) in re
0.535 * [taylor]: Taking taylor expansion of im in re
0.535 * [backup-simplify]: Simplify im into im
0.535 * [taylor]: Taking taylor expansion of im in re
0.535 * [backup-simplify]: Simplify im into im
0.535 * [backup-simplify]: Simplify (* 0 0) into 0
0.535 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.535 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.536 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.536 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.536 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.536 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.536 * [taylor]: Taking taylor expansion of (* re re) in re
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [taylor]: Taking taylor expansion of re in re
0.537 * [backup-simplify]: Simplify 0 into 0
0.537 * [backup-simplify]: Simplify 1 into 1
0.537 * [taylor]: Taking taylor expansion of (* im im) in re
0.537 * [taylor]: Taking taylor expansion of im in re
0.537 * [backup-simplify]: Simplify im into im
0.537 * [taylor]: Taking taylor expansion of im in re
0.537 * [backup-simplify]: Simplify im into im
0.537 * [backup-simplify]: Simplify (* 0 0) into 0
0.537 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.537 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.537 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.538 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.538 * [backup-simplify]: Simplify (+ 0 0) into 0
0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.538 * [taylor]: Taking taylor expansion of im in im
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [taylor]: Taking taylor expansion of 0 in im
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 0 into 0
0.538 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.539 * [backup-simplify]: Simplify (+ 1 0) into 1
0.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.540 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.540 * [taylor]: Taking taylor expansion of 1/2 in im
0.540 * [backup-simplify]: Simplify 1/2 into 1/2
0.540 * [taylor]: Taking taylor expansion of im in im
0.540 * [backup-simplify]: Simplify 0 into 0
0.540 * [backup-simplify]: Simplify 1 into 1
0.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.541 * [backup-simplify]: Simplify 0 into 0
0.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.542 * [backup-simplify]: Simplify (+ 0 0) into 0
0.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.542 * [taylor]: Taking taylor expansion of 0 in im
0.542 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify 0 into 0
0.543 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.543 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.543 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.543 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.543 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.544 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.544 * [taylor]: Taking taylor expansion of re in im
0.544 * [backup-simplify]: Simplify re into re
0.544 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.544 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.544 * [taylor]: Taking taylor expansion of re in im
0.544 * [backup-simplify]: Simplify re into re
0.544 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.544 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.544 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.544 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.544 * [taylor]: Taking taylor expansion of im in im
0.544 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify 1 into 1
0.544 * [backup-simplify]: Simplify (/ 1 1) into 1
0.545 * [backup-simplify]: Simplify (* 1 1) into 1
0.545 * [backup-simplify]: Simplify (+ 0 1) into 1
0.545 * [backup-simplify]: Simplify (sqrt 1) into 1
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.547 * [backup-simplify]: Simplify (+ 0 0) into 0
0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.547 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.548 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.548 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.548 * [taylor]: Taking taylor expansion of re in re
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.548 * [taylor]: Taking taylor expansion of re in re
0.548 * [backup-simplify]: Simplify 0 into 0
0.548 * [backup-simplify]: Simplify 1 into 1
0.548 * [backup-simplify]: Simplify (/ 1 1) into 1
0.548 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.548 * [taylor]: Taking taylor expansion of im in re
0.548 * [backup-simplify]: Simplify im into im
0.548 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.548 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.548 * [taylor]: Taking taylor expansion of im in re
0.548 * [backup-simplify]: Simplify im into im
0.548 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.549 * [backup-simplify]: Simplify (* 1 1) into 1
0.549 * [backup-simplify]: Simplify (+ 1 0) into 1
0.549 * [backup-simplify]: Simplify (sqrt 1) into 1
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.551 * [backup-simplify]: Simplify (+ 0 0) into 0
0.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.551 * [taylor]: Taking taylor expansion of re in re
0.551 * [backup-simplify]: Simplify 0 into 0
0.551 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (/ 1 1) into 1
0.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.552 * [taylor]: Taking taylor expansion of re in re
0.552 * [backup-simplify]: Simplify 0 into 0
0.552 * [backup-simplify]: Simplify 1 into 1
0.552 * [backup-simplify]: Simplify (/ 1 1) into 1
0.552 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.552 * [taylor]: Taking taylor expansion of im in re
0.552 * [backup-simplify]: Simplify im into im
0.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.552 * [taylor]: Taking taylor expansion of im in re
0.552 * [backup-simplify]: Simplify im into im
0.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.552 * [backup-simplify]: Simplify (* 1 1) into 1
0.553 * [backup-simplify]: Simplify (+ 1 0) into 1
0.553 * [backup-simplify]: Simplify (sqrt 1) into 1
0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.554 * [backup-simplify]: Simplify (+ 0 0) into 0
0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.555 * [taylor]: Taking taylor expansion of 1 in im
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [taylor]: Taking taylor expansion of 0 in im
0.555 * [backup-simplify]: Simplify 0 into 0
0.555 * [backup-simplify]: Simplify 1 into 1
0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.557 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.557 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.558 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.558 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.558 * [taylor]: Taking taylor expansion of 1/2 in im
0.558 * [backup-simplify]: Simplify 1/2 into 1/2
0.558 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.558 * [taylor]: Taking taylor expansion of im in im
0.558 * [backup-simplify]: Simplify 0 into 0
0.558 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (* 1 1) into 1
0.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.559 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.563 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.563 * [backup-simplify]: Simplify (+ 0 0) into 0
0.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.564 * [taylor]: Taking taylor expansion of 0 in im
0.564 * [backup-simplify]: Simplify 0 into 0
0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify 0 into 0
0.566 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.567 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.567 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.567 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.567 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.567 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.567 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.567 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.567 * [taylor]: Taking taylor expansion of -1 in im
0.567 * [backup-simplify]: Simplify -1 into -1
0.567 * [taylor]: Taking taylor expansion of re in im
0.567 * [backup-simplify]: Simplify re into re
0.567 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.567 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.567 * [taylor]: Taking taylor expansion of -1 in im
0.567 * [backup-simplify]: Simplify -1 into -1
0.567 * [taylor]: Taking taylor expansion of re in im
0.567 * [backup-simplify]: Simplify re into re
0.567 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.567 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.567 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.567 * [taylor]: Taking taylor expansion of -1 in im
0.568 * [backup-simplify]: Simplify -1 into -1
0.568 * [taylor]: Taking taylor expansion of im in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.568 * [backup-simplify]: Simplify (/ -1 1) into -1
0.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.568 * [taylor]: Taking taylor expansion of -1 in im
0.568 * [backup-simplify]: Simplify -1 into -1
0.568 * [taylor]: Taking taylor expansion of im in im
0.568 * [backup-simplify]: Simplify 0 into 0
0.568 * [backup-simplify]: Simplify 1 into 1
0.569 * [backup-simplify]: Simplify (/ -1 1) into -1
0.569 * [backup-simplify]: Simplify (* -1 -1) into 1
0.570 * [backup-simplify]: Simplify (+ 0 1) into 1
0.570 * [backup-simplify]: Simplify (sqrt 1) into 1
0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.572 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.573 * [backup-simplify]: Simplify (+ 0 0) into 0
0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.574 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.574 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.574 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.574 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.574 * [taylor]: Taking taylor expansion of -1 in re
0.574 * [backup-simplify]: Simplify -1 into -1
0.574 * [taylor]: Taking taylor expansion of re in re
0.574 * [backup-simplify]: Simplify 0 into 0
0.574 * [backup-simplify]: Simplify 1 into 1
0.574 * [backup-simplify]: Simplify (/ -1 1) into -1
0.574 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.575 * [taylor]: Taking taylor expansion of -1 in re
0.575 * [backup-simplify]: Simplify -1 into -1
0.575 * [taylor]: Taking taylor expansion of re in re
0.575 * [backup-simplify]: Simplify 0 into 0
0.575 * [backup-simplify]: Simplify 1 into 1
0.575 * [backup-simplify]: Simplify (/ -1 1) into -1
0.575 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.575 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.575 * [taylor]: Taking taylor expansion of -1 in re
0.575 * [backup-simplify]: Simplify -1 into -1
0.575 * [taylor]: Taking taylor expansion of im in re
0.575 * [backup-simplify]: Simplify im into im
0.575 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.575 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.575 * [taylor]: Taking taylor expansion of -1 in re
0.575 * [backup-simplify]: Simplify -1 into -1
0.575 * [taylor]: Taking taylor expansion of im in re
0.575 * [backup-simplify]: Simplify im into im
0.576 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.576 * [backup-simplify]: Simplify (* -1 -1) into 1
0.576 * [backup-simplify]: Simplify (+ 1 0) into 1
0.577 * [backup-simplify]: Simplify (sqrt 1) into 1
0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.579 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.579 * [backup-simplify]: Simplify (+ 0 0) into 0
0.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.580 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.580 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.580 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.580 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.580 * [taylor]: Taking taylor expansion of -1 in re
0.580 * [backup-simplify]: Simplify -1 into -1
0.580 * [taylor]: Taking taylor expansion of re in re
0.580 * [backup-simplify]: Simplify 0 into 0
0.580 * [backup-simplify]: Simplify 1 into 1
0.580 * [backup-simplify]: Simplify (/ -1 1) into -1
0.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.581 * [taylor]: Taking taylor expansion of -1 in re
0.581 * [backup-simplify]: Simplify -1 into -1
0.581 * [taylor]: Taking taylor expansion of re in re
0.581 * [backup-simplify]: Simplify 0 into 0
0.581 * [backup-simplify]: Simplify 1 into 1
0.581 * [backup-simplify]: Simplify (/ -1 1) into -1
0.581 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.581 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.581 * [taylor]: Taking taylor expansion of -1 in re
0.581 * [backup-simplify]: Simplify -1 into -1
0.581 * [taylor]: Taking taylor expansion of im in re
0.581 * [backup-simplify]: Simplify im into im
0.581 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.581 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.581 * [taylor]: Taking taylor expansion of -1 in re
0.581 * [backup-simplify]: Simplify -1 into -1
0.581 * [taylor]: Taking taylor expansion of im in re
0.581 * [backup-simplify]: Simplify im into im
0.581 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.581 * [backup-simplify]: Simplify (* -1 -1) into 1
0.582 * [backup-simplify]: Simplify (+ 1 0) into 1
0.582 * [backup-simplify]: Simplify (sqrt 1) into 1
0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.583 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.584 * [backup-simplify]: Simplify (+ 0 0) into 0
0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.584 * [taylor]: Taking taylor expansion of 1 in im
0.584 * [backup-simplify]: Simplify 1 into 1
0.584 * [taylor]: Taking taylor expansion of 0 in im
0.584 * [backup-simplify]: Simplify 0 into 0
0.584 * [backup-simplify]: Simplify 1 into 1
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.586 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.586 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.587 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.587 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.587 * [taylor]: Taking taylor expansion of 1/2 in im
0.587 * [backup-simplify]: Simplify 1/2 into 1/2
0.587 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.587 * [taylor]: Taking taylor expansion of im in im
0.587 * [backup-simplify]: Simplify 0 into 0
0.587 * [backup-simplify]: Simplify 1 into 1
0.587 * [backup-simplify]: Simplify (* 1 1) into 1
0.588 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.588 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify 0 into 0
0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.590 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.591 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.591 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.591 * [backup-simplify]: Simplify (+ 0 0) into 0
0.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.592 * [taylor]: Taking taylor expansion of 0 in im
0.592 * [backup-simplify]: Simplify 0 into 0
0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify 0 into 0
0.593 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.593 * * * [progress]: simplifying candidates
0.594 * [simplify]: Simplifying:
  (expm1 (sqrt (* (+ (hypot re im) re) 2.0)))
  (log1p (sqrt (* (+ (hypot re im) re) 2.0)))
  (log (sqrt (* (+ (hypot re im) re) 2.0)))
  (exp (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))))
  (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (* (* (sqrt (* (+ (hypot re im) re) 2.0)) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (+ (hypot re im) re))
  (sqrt 2.0)
  (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0))
  (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))
  (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0))
  (sqrt (- (hypot re im) re))
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (sqrt (sqrt (* (+ (hypot re im) re) 2.0)))
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- (+ (* +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
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
0.594 * * [simplify]: iteration 0: 86 enodes
0.608 * * [simplify]: iteration 1: 187 enodes
0.663 * * [simplify]: iteration 2: 623 enodes
1.288 * * [simplify]: iteration 3: 3812 enodes
2.226 * * [simplify]: iteration complete: 5000 enodes
2.226 * * [simplify]: Extracting #0: cost 44 inf + 0
2.227 * * [simplify]: Extracting #1: cost 356 inf + 45
2.234 * * [simplify]: Extracting #2: cost 1172 inf + 17458
2.265 * * [simplify]: Extracting #3: cost 358 inf + 129630
2.317 * * [simplify]: Extracting #4: cost 13 inf + 183318
2.403 * * [simplify]: Extracting #5: cost 0 inf + 186503
2.470 * [simplify]: Simplified to:
  (expm1 (sqrt (* (+ re (hypot re im)) 2.0)))
  (log1p (sqrt (* (+ re (hypot re im)) 2.0)))
  (log (sqrt (* (+ re (hypot re im)) 2.0)))
  (exp (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))))
  (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (* (* (+ re (hypot re im)) 2.0) (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* 2.0 (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im)))))
  (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))
  (sqrt (* (+ re (hypot re im)) (* (- (hypot re im) re) 2.0)))
  (sqrt (- (hypot re im) re))
  1/2
  1/2
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (+ re (hypot re im)) (* (+ re (hypot re im)) (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im)))
  (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (* +nan.0 (sqrt 2.0)) (+ (- im re) (* (- re) re)))
  (- (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))) (* +nan.0 (sqrt 2.0)))
  0
  (+ im re)
  (* re 2)
  0
  im
  re
  (- re)
2.473 * * * [progress]: adding candidates to table
2.753 * * [progress]: iteration 2 / 4
2.753 * * * [progress]: picking best candidate
2.806 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))>
2.806 * * * [progress]: localizing error
2.841 * * * [progress]: generating rewritten candidates
2.841 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.862 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
2.869 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
2.870 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.884 * * * [progress]: generating series expansions
2.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.885 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
2.885 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0
2.885 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im
2.885 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
2.885 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
2.885 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.886 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.886 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.886 * [taylor]: Taking taylor expansion of (* re re) in im
2.886 * [taylor]: Taking taylor expansion of re in im
2.886 * [backup-simplify]: Simplify re into re
2.886 * [taylor]: Taking taylor expansion of re in im
2.886 * [backup-simplify]: Simplify re into re
2.886 * [taylor]: Taking taylor expansion of (* im im) in im
2.886 * [taylor]: Taking taylor expansion of im in im
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [taylor]: Taking taylor expansion of im in im
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.886 * [backup-simplify]: Simplify (* 0 0) into 0
2.887 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.887 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.887 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.887 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.888 * [backup-simplify]: Simplify (+ 0 0) into 0
2.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.888 * [taylor]: Taking taylor expansion of re in im
2.888 * [backup-simplify]: Simplify re into re
2.888 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
2.888 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
2.889 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
2.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.889 * [taylor]: Taking taylor expansion of 2.0 in im
2.889 * [backup-simplify]: Simplify 2.0 into 2.0
2.889 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.890 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re
2.890 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
2.890 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.890 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.890 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.890 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.890 * [taylor]: Taking taylor expansion of (* re re) in re
2.890 * [taylor]: Taking taylor expansion of re in re
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 1 into 1
2.890 * [taylor]: Taking taylor expansion of re in re
2.890 * [backup-simplify]: Simplify 0 into 0
2.890 * [backup-simplify]: Simplify 1 into 1
2.891 * [taylor]: Taking taylor expansion of (* im im) in re
2.891 * [taylor]: Taking taylor expansion of im in re
2.891 * [backup-simplify]: Simplify im into im
2.891 * [taylor]: Taking taylor expansion of im in re
2.891 * [backup-simplify]: Simplify im into im
2.891 * [backup-simplify]: Simplify (* 0 0) into 0
2.891 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.891 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.891 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.892 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.893 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.893 * [taylor]: Taking taylor expansion of re in re
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [backup-simplify]: Simplify 1 into 1
2.893 * [backup-simplify]: Simplify (+ im 0) into im
2.893 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.893 * [backup-simplify]: Simplify (+ 0 1) into 1
2.893 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.893 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.894 * [taylor]: Taking taylor expansion of 2.0 in re
2.894 * [backup-simplify]: Simplify 2.0 into 2.0
2.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.895 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re
2.895 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
2.895 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.895 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.895 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.895 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.895 * [taylor]: Taking taylor expansion of (* re re) in re
2.895 * [taylor]: Taking taylor expansion of re in re
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify 1 into 1
2.895 * [taylor]: Taking taylor expansion of re in re
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify 1 into 1
2.895 * [taylor]: Taking taylor expansion of (* im im) in re
2.895 * [taylor]: Taking taylor expansion of im in re
2.895 * [backup-simplify]: Simplify im into im
2.895 * [taylor]: Taking taylor expansion of im in re
2.895 * [backup-simplify]: Simplify im into im
2.896 * [backup-simplify]: Simplify (* 0 0) into 0
2.896 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.896 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.896 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.897 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.897 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.897 * [backup-simplify]: Simplify (+ 0 0) into 0
2.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.897 * [taylor]: Taking taylor expansion of re in re
2.897 * [backup-simplify]: Simplify 0 into 0
2.897 * [backup-simplify]: Simplify 1 into 1
2.897 * [backup-simplify]: Simplify (+ im 0) into im
2.898 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
2.898 * [backup-simplify]: Simplify (+ 0 1) into 1
2.898 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
2.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.898 * [taylor]: Taking taylor expansion of 2.0 in re
2.898 * [backup-simplify]: Simplify 2.0 into 2.0
2.899 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.900 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
2.900 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
2.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.900 * [taylor]: Taking taylor expansion of 2.0 in im
2.900 * [backup-simplify]: Simplify 2.0 into 2.0
2.900 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.901 * [taylor]: Taking taylor expansion of (sqrt im) in im
2.901 * [taylor]: Taking taylor expansion of im in im
2.901 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 1 into 1
2.902 * [backup-simplify]: Simplify (sqrt 0) into 0
2.903 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.904 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
2.904 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
2.904 * [taylor]: Taking taylor expansion of 1/2 in im
2.904 * [backup-simplify]: Simplify 1/2 into 1/2
2.904 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
2.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.904 * [taylor]: Taking taylor expansion of 2.0 in im
2.904 * [backup-simplify]: Simplify 2.0 into 2.0
2.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
2.906 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.906 * [taylor]: Taking taylor expansion of im in im
2.906 * [backup-simplify]: Simplify 0 into 0
2.906 * [backup-simplify]: Simplify 1 into 1
2.906 * [backup-simplify]: Simplify (/ 1 1) into 1
2.906 * [backup-simplify]: Simplify (sqrt 0) into 0
2.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.910 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.910 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.914 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.916 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.918 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.922 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.922 * [backup-simplify]: Simplify (+ 1 0) into 1
2.923 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.923 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.924 * [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))))
2.925 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
2.925 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
2.925 * [taylor]: Taking taylor expansion of 1/8 in im
2.925 * [backup-simplify]: Simplify 1/8 into 1/8
2.925 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
2.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.925 * [taylor]: Taking taylor expansion of 2.0 in im
2.925 * [backup-simplify]: Simplify 2.0 into 2.0
2.926 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
2.926 * [taylor]: Taking taylor expansion of (pow im 3) in im
2.926 * [taylor]: Taking taylor expansion of im in im
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (/ 1 1) into 1
2.928 * [backup-simplify]: Simplify (sqrt 0) into 0
2.929 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.937 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.938 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.939 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.941 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.942 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.945 * [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)))))))
2.946 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
2.946 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
2.946 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
2.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.946 * [taylor]: Taking taylor expansion of 2.0 in im
2.946 * [backup-simplify]: Simplify 2.0 into 2.0
2.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
2.947 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.947 * [taylor]: Taking taylor expansion of re in im
2.947 * [backup-simplify]: Simplify re into re
2.947 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.947 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.947 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.947 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.947 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.947 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.947 * [taylor]: Taking taylor expansion of re in im
2.947 * [backup-simplify]: Simplify re into re
2.947 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.947 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.947 * [taylor]: Taking taylor expansion of re in im
2.947 * [backup-simplify]: Simplify re into re
2.947 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.947 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.947 * [taylor]: Taking taylor expansion of im in im
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.947 * [backup-simplify]: Simplify (/ 1 1) into 1
2.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.947 * [taylor]: Taking taylor expansion of im in im
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.948 * [backup-simplify]: Simplify (/ 1 1) into 1
2.948 * [backup-simplify]: Simplify (* 1 1) into 1
2.948 * [backup-simplify]: Simplify (+ 0 1) into 1
2.948 * [backup-simplify]: Simplify (sqrt 1) into 1
2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.950 * [backup-simplify]: Simplify (+ 0 0) into 0
2.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.951 * [backup-simplify]: Simplify (+ 0 1) into 1
2.951 * [backup-simplify]: Simplify (sqrt 0) into 0
2.952 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.952 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
2.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.952 * [taylor]: Taking taylor expansion of 2.0 in re
2.952 * [backup-simplify]: Simplify 2.0 into 2.0
2.952 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.952 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.952 * [taylor]: Taking taylor expansion of re in re
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (/ 1 1) into 1
2.953 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.953 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.953 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.953 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.953 * [taylor]: Taking taylor expansion of re in re
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.953 * [backup-simplify]: Simplify (/ 1 1) into 1
2.953 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.953 * [taylor]: Taking taylor expansion of re in re
2.953 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify 1 into 1
2.954 * [backup-simplify]: Simplify (/ 1 1) into 1
2.954 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.954 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.954 * [taylor]: Taking taylor expansion of im in re
2.954 * [backup-simplify]: Simplify im into im
2.954 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.954 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.954 * [taylor]: Taking taylor expansion of im in re
2.954 * [backup-simplify]: Simplify im into im
2.954 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.954 * [backup-simplify]: Simplify (* 1 1) into 1
2.954 * [backup-simplify]: Simplify (+ 1 0) into 1
2.954 * [backup-simplify]: Simplify (sqrt 1) into 1
2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.956 * [backup-simplify]: Simplify (+ 0 0) into 0
2.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.957 * [backup-simplify]: Simplify (+ 1 1) into 2
2.957 * [backup-simplify]: Simplify (sqrt 0) into 0
2.958 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.958 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
2.958 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
2.958 * [taylor]: Taking taylor expansion of 2.0 in re
2.958 * [backup-simplify]: Simplify 2.0 into 2.0
2.958 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.958 * [taylor]: Taking taylor expansion of re in re
2.958 * [backup-simplify]: Simplify 0 into 0
2.958 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (/ 1 1) into 1
2.959 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.959 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.959 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.959 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.959 * [taylor]: Taking taylor expansion of re in re
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (/ 1 1) into 1
2.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.959 * [taylor]: Taking taylor expansion of re in re
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (/ 1 1) into 1
2.960 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.960 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.960 * [taylor]: Taking taylor expansion of im in re
2.960 * [backup-simplify]: Simplify im into im
2.960 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.960 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.960 * [taylor]: Taking taylor expansion of im in re
2.960 * [backup-simplify]: Simplify im into im
2.960 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.960 * [backup-simplify]: Simplify (* 1 1) into 1
2.960 * [backup-simplify]: Simplify (+ 1 0) into 1
2.960 * [backup-simplify]: Simplify (sqrt 1) into 1
2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.962 * [backup-simplify]: Simplify (+ 0 0) into 0
2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.963 * [backup-simplify]: Simplify (+ 1 1) into 2
2.963 * [backup-simplify]: Simplify (sqrt 0) into 0
2.964 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
2.965 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
2.965 * [taylor]: Taking taylor expansion of 0 in im
2.965 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
2.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.967 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.967 * [taylor]: Taking taylor expansion of +nan.0 in im
2.967 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.967 * [taylor]: Taking taylor expansion of 2.0 in im
2.967 * [backup-simplify]: Simplify 2.0 into 2.0
2.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.968 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.969 * [backup-simplify]: Simplify (+ 0 0) into 0
2.972 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.974 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
2.976 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
2.976 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
2.976 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
2.977 * [taylor]: Taking taylor expansion of +nan.0 in im
2.977 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.977 * [taylor]: Taking taylor expansion of 2.0 in im
2.977 * [backup-simplify]: Simplify 2.0 into 2.0
2.977 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.979 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
2.980 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.982 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
2.982 * [backup-simplify]: Simplify 0 into 0
2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.986 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.986 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.991 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.991 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.992 * [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))
2.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
2.994 * [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))))))
2.994 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
2.994 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
2.994 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) in im
2.994 * [taylor]: Taking taylor expansion of 2.0 in im
2.994 * [backup-simplify]: Simplify 2.0 into 2.0
2.995 * [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 (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
2.995 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
2.995 * [taylor]: Taking taylor expansion of +nan.0 in im
2.995 * [backup-simplify]: Simplify +nan.0 into +nan.0
2.995 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
2.995 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
2.995 * [taylor]: Taking taylor expansion of 2.0 in im
2.995 * [backup-simplify]: Simplify 2.0 into 2.0
2.995 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
2.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
2.996 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.996 * [taylor]: Taking taylor expansion of im in im
2.996 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify 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)
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
2.998 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
2.998 * [backup-simplify]: Simplify (- 0) into 0
2.999 * [backup-simplify]: Simplify (+ 0 0) into 0
2.999 * [backup-simplify]: Simplify (- 0) into 0
2.999 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.000 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.001 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.003 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.004 * [backup-simplify]: Simplify (- 0) into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify 0 into 0
3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.006 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.006 * [backup-simplify]: Simplify (+ 0 0) into 0
3.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.007 * [backup-simplify]: Simplify (+ 0 0) into 0
3.008 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
3.009 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.010 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))))
3.010 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
3.010 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
3.010 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
3.010 * [taylor]: Taking taylor expansion of +nan.0 in im
3.010 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.010 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.010 * [taylor]: Taking taylor expansion of 2.0 in im
3.010 * [backup-simplify]: Simplify 2.0 into 2.0
3.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.011 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.011 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.011 * [taylor]: Taking taylor expansion of +nan.0 in im
3.011 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.011 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.011 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.011 * [taylor]: Taking taylor expansion of 2.0 in im
3.011 * [backup-simplify]: Simplify 2.0 into 2.0
3.011 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.012 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.012 * [taylor]: Taking taylor expansion of im in im
3.012 * [backup-simplify]: Simplify 0 into 0
3.012 * [backup-simplify]: Simplify 1 into 1
3.012 * [backup-simplify]: Simplify (* 1 1) into 1
3.013 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.014 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.014 * [backup-simplify]: Simplify (- 0) into 0
3.015 * [backup-simplify]: Simplify (+ 0 0) into 0
3.015 * [backup-simplify]: Simplify (- 0) into 0
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
3.016 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.018 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.018 * [backup-simplify]: Simplify (- 0) into 0
3.019 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
3.020 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
3.021 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
3.024 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
3.025 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt 2.0)) into (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0))
3.025 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
3.025 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im
3.025 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.025 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.025 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.025 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.025 * [taylor]: Taking taylor expansion of -1 in im
3.025 * [backup-simplify]: Simplify -1 into -1
3.025 * [taylor]: Taking taylor expansion of re in im
3.025 * [backup-simplify]: Simplify re into re
3.025 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.025 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.025 * [taylor]: Taking taylor expansion of -1 in im
3.025 * [backup-simplify]: Simplify -1 into -1
3.025 * [taylor]: Taking taylor expansion of re in im
3.025 * [backup-simplify]: Simplify re into re
3.025 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.025 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.025 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.025 * [taylor]: Taking taylor expansion of -1 in im
3.025 * [backup-simplify]: Simplify -1 into -1
3.025 * [taylor]: Taking taylor expansion of im in im
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify (/ -1 1) into -1
3.026 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.026 * [taylor]: Taking taylor expansion of -1 in im
3.026 * [backup-simplify]: Simplify -1 into -1
3.026 * [taylor]: Taking taylor expansion of im in im
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify (/ -1 1) into -1
3.026 * [backup-simplify]: Simplify (* -1 -1) into 1
3.027 * [backup-simplify]: Simplify (+ 0 1) into 1
3.027 * [backup-simplify]: Simplify (sqrt 1) into 1
3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.028 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.029 * [taylor]: Taking taylor expansion of re in im
3.029 * [backup-simplify]: Simplify re into re
3.029 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.029 * [backup-simplify]: Simplify (+ 1 0) into 1
3.029 * [backup-simplify]: Simplify (sqrt 0) into 0
3.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.030 * [taylor]: Taking taylor expansion of 2.0 in im
3.030 * [backup-simplify]: Simplify 2.0 into 2.0
3.031 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.031 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re
3.031 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.031 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.031 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.031 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.031 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.031 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.031 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.031 * [taylor]: Taking taylor expansion of -1 in re
3.031 * [backup-simplify]: Simplify -1 into -1
3.031 * [taylor]: Taking taylor expansion of re in re
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 1 into 1
3.032 * [backup-simplify]: Simplify (/ -1 1) into -1
3.032 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.032 * [taylor]: Taking taylor expansion of -1 in re
3.032 * [backup-simplify]: Simplify -1 into -1
3.032 * [taylor]: Taking taylor expansion of re in re
3.032 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify 1 into 1
3.032 * [backup-simplify]: Simplify (/ -1 1) into -1
3.032 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.032 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.032 * [taylor]: Taking taylor expansion of -1 in re
3.032 * [backup-simplify]: Simplify -1 into -1
3.032 * [taylor]: Taking taylor expansion of im in re
3.032 * [backup-simplify]: Simplify im into im
3.032 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.032 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.032 * [taylor]: Taking taylor expansion of -1 in re
3.032 * [backup-simplify]: Simplify -1 into -1
3.032 * [taylor]: Taking taylor expansion of im in re
3.032 * [backup-simplify]: Simplify im into im
3.032 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.033 * [backup-simplify]: Simplify (* -1 -1) into 1
3.033 * [backup-simplify]: Simplify (+ 1 0) into 1
3.033 * [backup-simplify]: Simplify (sqrt 1) into 1
3.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.035 * [backup-simplify]: Simplify (+ 0 0) into 0
3.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.035 * [taylor]: Taking taylor expansion of re in re
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify (/ 1 1) into 1
3.036 * [backup-simplify]: Simplify (- 1) into -1
3.036 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (- 0) into 0
3.037 * [backup-simplify]: Simplify (+ 0 0) into 0
3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.039 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.039 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.039 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (- 0) into 0
3.040 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.041 * [backup-simplify]: Simplify (sqrt 0) into 0
3.041 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.041 * [taylor]: Taking taylor expansion of 2.0 in re
3.041 * [backup-simplify]: Simplify 2.0 into 2.0
3.041 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.042 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re
3.042 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.042 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.042 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.042 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.042 * [taylor]: Taking taylor expansion of -1 in re
3.042 * [backup-simplify]: Simplify -1 into -1
3.042 * [taylor]: Taking taylor expansion of re in re
3.042 * [backup-simplify]: Simplify 0 into 0
3.042 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (/ -1 1) into -1
3.042 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.042 * [taylor]: Taking taylor expansion of -1 in re
3.042 * [backup-simplify]: Simplify -1 into -1
3.042 * [taylor]: Taking taylor expansion of re in re
3.042 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify 1 into 1
3.043 * [backup-simplify]: Simplify (/ -1 1) into -1
3.043 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.043 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.043 * [taylor]: Taking taylor expansion of -1 in re
3.043 * [backup-simplify]: Simplify -1 into -1
3.043 * [taylor]: Taking taylor expansion of im in re
3.043 * [backup-simplify]: Simplify im into im
3.043 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.043 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.043 * [taylor]: Taking taylor expansion of -1 in re
3.043 * [backup-simplify]: Simplify -1 into -1
3.043 * [taylor]: Taking taylor expansion of im in re
3.043 * [backup-simplify]: Simplify im into im
3.043 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.043 * [backup-simplify]: Simplify (* -1 -1) into 1
3.044 * [backup-simplify]: Simplify (+ 1 0) into 1
3.044 * [backup-simplify]: Simplify (sqrt 1) into 1
3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.046 * [backup-simplify]: Simplify (+ 0 0) into 0
3.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.046 * [taylor]: Taking taylor expansion of re in re
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 1 into 1
3.047 * [backup-simplify]: Simplify (/ 1 1) into 1
3.047 * [backup-simplify]: Simplify (- 1) into -1
3.047 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (- 0) into 0
3.048 * [backup-simplify]: Simplify (+ 0 0) into 0
3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.050 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.050 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.051 * [backup-simplify]: Simplify (- 0) into 0
3.052 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.052 * [backup-simplify]: Simplify (sqrt 0) into 0
3.052 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
3.052 * [taylor]: Taking taylor expansion of 2.0 in re
3.052 * [backup-simplify]: Simplify 2.0 into 2.0
3.053 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.053 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
3.053 * [taylor]: Taking taylor expansion of 0 in im
3.053 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
3.054 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
3.054 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
3.054 * [taylor]: Taking taylor expansion of +nan.0 in im
3.054 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.054 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
3.054 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.054 * [taylor]: Taking taylor expansion of 2.0 in im
3.054 * [backup-simplify]: Simplify 2.0 into 2.0
3.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.055 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.055 * [taylor]: Taking taylor expansion of im in im
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [backup-simplify]: Simplify (* 1 1) into 1
3.056 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
3.057 * [backup-simplify]: Simplify (- 0) into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.061 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.061 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.061 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.062 * [backup-simplify]: Simplify (+ 0 0) into 0
3.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.064 * [backup-simplify]: Simplify (- 0) into 0
3.064 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
3.066 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
3.067 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.067 * [taylor]: Taking taylor expansion of +nan.0 in im
3.067 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.067 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.067 * [taylor]: Taking taylor expansion of 2.0 in im
3.067 * [backup-simplify]: Simplify 2.0 into 2.0
3.067 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.068 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.068 * [taylor]: Taking taylor expansion of im in im
3.068 * [backup-simplify]: Simplify 0 into 0
3.068 * [backup-simplify]: Simplify 1 into 1
3.068 * [backup-simplify]: Simplify (* 1 1) into 1
3.069 * [backup-simplify]: Simplify (* 1 1) into 1
3.070 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.071 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.072 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.082 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.083 * [backup-simplify]: Simplify (- 0) into 0
3.083 * [backup-simplify]: Simplify 0 into 0
3.084 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
3.088 * [backup-simplify]: Simplify (- 0) into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.095 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.095 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.095 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.096 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
3.096 * [backup-simplify]: Simplify (+ 0 0) into 0
3.098 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (- 0) into 0
3.100 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.101 * [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)))))
3.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
3.103 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
3.103 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
3.103 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
3.103 * [taylor]: Taking taylor expansion of +nan.0 in im
3.103 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.103 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
3.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.103 * [taylor]: Taking taylor expansion of 2.0 in im
3.103 * [backup-simplify]: Simplify 2.0 into 2.0
3.103 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.104 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.104 * [taylor]: Taking taylor expansion of im in im
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.105 * [backup-simplify]: Simplify (* 1 1) into 1
3.105 * [backup-simplify]: Simplify (* 1 1) into 1
3.106 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
3.106 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
3.107 * [taylor]: Taking taylor expansion of +nan.0 in im
3.107 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
3.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
3.107 * [taylor]: Taking taylor expansion of 2.0 in im
3.107 * [backup-simplify]: Simplify 2.0 into 2.0
3.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
3.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
3.108 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.108 * [taylor]: Taking taylor expansion of im in im
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (* 1 1) into 1
3.109 * [backup-simplify]: Simplify (* 1 1) into 1
3.109 * [backup-simplify]: Simplify (* 1 1) into 1
3.110 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
3.111 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.123 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
3.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
3.125 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
3.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.140 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
3.141 * [backup-simplify]: Simplify (- 0) into 0
3.141 * [backup-simplify]: Simplify (+ 0 0) into 0
3.141 * [backup-simplify]: Simplify (- 0) into 0
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * [backup-simplify]: Simplify 0 into 0
3.141 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
3.141 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re)
3.141 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
3.141 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
3.141 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.141 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.141 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.141 * [taylor]: Taking taylor expansion of (* re re) in im
3.142 * [taylor]: Taking taylor expansion of re in im
3.142 * [backup-simplify]: Simplify re into re
3.142 * [taylor]: Taking taylor expansion of re in im
3.142 * [backup-simplify]: Simplify re into re
3.142 * [taylor]: Taking taylor expansion of (* im im) in im
3.142 * [taylor]: Taking taylor expansion of im in im
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [taylor]: Taking taylor expansion of im in im
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.142 * [backup-simplify]: Simplify (* 0 0) into 0
3.142 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.142 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.142 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.143 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.143 * [backup-simplify]: Simplify (+ 0 0) into 0
3.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.143 * [taylor]: Taking taylor expansion of re in im
3.143 * [backup-simplify]: Simplify re into re
3.143 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
3.143 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.143 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.143 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.143 * [taylor]: Taking taylor expansion of (* re re) in re
3.143 * [taylor]: Taking taylor expansion of re in re
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 1 into 1
3.143 * [taylor]: Taking taylor expansion of re in re
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 1 into 1
3.143 * [taylor]: Taking taylor expansion of (* im im) in re
3.143 * [taylor]: Taking taylor expansion of im in re
3.143 * [backup-simplify]: Simplify im into im
3.143 * [taylor]: Taking taylor expansion of im in re
3.143 * [backup-simplify]: Simplify im into im
3.143 * [backup-simplify]: Simplify (* 0 0) into 0
3.144 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.144 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.144 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.144 * [backup-simplify]: Simplify (+ 0 0) into 0
3.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.145 * [taylor]: Taking taylor expansion of re in re
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
3.145 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.145 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.145 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.145 * [taylor]: Taking taylor expansion of (* re re) in re
3.145 * [taylor]: Taking taylor expansion of re in re
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [taylor]: Taking taylor expansion of re in re
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [taylor]: Taking taylor expansion of (* im im) in re
3.145 * [taylor]: Taking taylor expansion of im in re
3.145 * [backup-simplify]: Simplify im into im
3.145 * [taylor]: Taking taylor expansion of im in re
3.145 * [backup-simplify]: Simplify im into im
3.145 * [backup-simplify]: Simplify (* 0 0) into 0
3.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.146 * [backup-simplify]: Simplify (+ 0 0) into 0
3.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.146 * [taylor]: Taking taylor expansion of re in re
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [backup-simplify]: Simplify (+ im 0) into im
3.146 * [taylor]: Taking taylor expansion of im in im
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify (+ 0 1) into 1
3.147 * [taylor]: Taking taylor expansion of 1 in im
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.148 * [backup-simplify]: Simplify (+ 1 0) into 1
3.148 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.148 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
3.148 * [taylor]: Taking taylor expansion of 1/2 in im
3.148 * [backup-simplify]: Simplify 1/2 into 1/2
3.148 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.148 * [taylor]: Taking taylor expansion of im in im
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.149 * [backup-simplify]: Simplify (/ 1 1) into 1
3.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.151 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.151 * [taylor]: Taking taylor expansion of 0 in im
3.151 * [backup-simplify]: Simplify 0 into 0
3.151 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.152 * [backup-simplify]: Simplify 0 into 0
3.152 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
3.153 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
3.153 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
3.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.153 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.153 * [taylor]: Taking taylor expansion of re in im
3.153 * [backup-simplify]: Simplify re into re
3.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.153 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.153 * [taylor]: Taking taylor expansion of im in im
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 1 into 1
3.153 * [backup-simplify]: Simplify (/ 1 1) into 1
3.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.154 * [taylor]: Taking taylor expansion of im in im
3.154 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (/ 1 1) into 1
3.154 * [backup-simplify]: Simplify (* 1 1) into 1
3.154 * [backup-simplify]: Simplify (+ 0 1) into 1
3.155 * [backup-simplify]: Simplify (sqrt 1) into 1
3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.157 * [backup-simplify]: Simplify (+ 0 0) into 0
3.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
3.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.158 * [taylor]: Taking taylor expansion of re in re
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.158 * [backup-simplify]: Simplify (/ 1 1) into 1
3.158 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.158 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.158 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.158 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.158 * [taylor]: Taking taylor expansion of re in re
3.158 * [backup-simplify]: Simplify 0 into 0
3.158 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (/ 1 1) into 1
3.159 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.159 * [taylor]: Taking taylor expansion of re in re
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify (/ 1 1) into 1
3.159 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.159 * [taylor]: Taking taylor expansion of im in re
3.159 * [backup-simplify]: Simplify im into im
3.160 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.160 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.160 * [taylor]: Taking taylor expansion of im in re
3.160 * [backup-simplify]: Simplify im into im
3.160 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.160 * [backup-simplify]: Simplify (* 1 1) into 1
3.160 * [backup-simplify]: Simplify (+ 1 0) into 1
3.161 * [backup-simplify]: Simplify (sqrt 1) into 1
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.163 * [backup-simplify]: Simplify (+ 0 0) into 0
3.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
3.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.164 * [taylor]: Taking taylor expansion of re in re
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify 1 into 1
3.165 * [backup-simplify]: Simplify (/ 1 1) into 1
3.165 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.165 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.165 * [taylor]: Taking taylor expansion of re in re
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 1 into 1
3.165 * [backup-simplify]: Simplify (/ 1 1) into 1
3.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.166 * [taylor]: Taking taylor expansion of re in re
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.166 * [backup-simplify]: Simplify (/ 1 1) into 1
3.166 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.166 * [taylor]: Taking taylor expansion of im in re
3.166 * [backup-simplify]: Simplify im into im
3.167 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.167 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.167 * [taylor]: Taking taylor expansion of im in re
3.167 * [backup-simplify]: Simplify im into im
3.167 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.167 * [backup-simplify]: Simplify (+ 1 0) into 1
3.168 * [backup-simplify]: Simplify (sqrt 1) into 1
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.170 * [backup-simplify]: Simplify (+ 1 1) into 2
3.170 * [taylor]: Taking taylor expansion of 2 in im
3.170 * [backup-simplify]: Simplify 2 into 2
3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.170 * [backup-simplify]: Simplify (+ 0 0) into 0
3.170 * [taylor]: Taking taylor expansion of 0 in im
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 2 into 2
3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.173 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.174 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.174 * [taylor]: Taking taylor expansion of 1/2 in im
3.174 * [backup-simplify]: Simplify 1/2 into 1/2
3.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.174 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.174 * [taylor]: Taking taylor expansion of im in im
3.174 * [backup-simplify]: Simplify 0 into 0
3.174 * [backup-simplify]: Simplify 1 into 1
3.174 * [backup-simplify]: Simplify (* 1 1) into 1
3.174 * [backup-simplify]: Simplify (/ 1 1) into 1
3.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify 0 into 0
3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.178 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.178 * [backup-simplify]: Simplify (+ 0 0) into 0
3.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.179 * [backup-simplify]: Simplify (+ 0 0) into 0
3.179 * [taylor]: Taking taylor expansion of 0 in im
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
3.181 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
3.181 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
3.181 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.181 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.181 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.181 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.181 * [taylor]: Taking taylor expansion of -1 in im
3.181 * [backup-simplify]: Simplify -1 into -1
3.181 * [taylor]: Taking taylor expansion of re in im
3.181 * [backup-simplify]: Simplify re into re
3.181 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.181 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.181 * [taylor]: Taking taylor expansion of -1 in im
3.181 * [backup-simplify]: Simplify -1 into -1
3.181 * [taylor]: Taking taylor expansion of re in im
3.181 * [backup-simplify]: Simplify re into re
3.181 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.181 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.181 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.181 * [taylor]: Taking taylor expansion of -1 in im
3.181 * [backup-simplify]: Simplify -1 into -1
3.181 * [taylor]: Taking taylor expansion of im in im
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (/ -1 1) into -1
3.182 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.182 * [taylor]: Taking taylor expansion of -1 in im
3.182 * [backup-simplify]: Simplify -1 into -1
3.182 * [taylor]: Taking taylor expansion of im in im
3.182 * [backup-simplify]: Simplify 0 into 0
3.182 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (/ -1 1) into -1
3.182 * [backup-simplify]: Simplify (* -1 -1) into 1
3.183 * [backup-simplify]: Simplify (+ 0 1) into 1
3.183 * [backup-simplify]: Simplify (sqrt 1) into 1
3.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.184 * [backup-simplify]: Simplify (+ 0 0) into 0
3.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.185 * [taylor]: Taking taylor expansion of re in im
3.185 * [backup-simplify]: Simplify re into re
3.185 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.185 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.185 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.185 * [taylor]: Taking taylor expansion of -1 in re
3.185 * [backup-simplify]: Simplify -1 into -1
3.185 * [taylor]: Taking taylor expansion of re in re
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 1 into 1
3.185 * [backup-simplify]: Simplify (/ -1 1) into -1
3.185 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.185 * [taylor]: Taking taylor expansion of -1 in re
3.186 * [backup-simplify]: Simplify -1 into -1
3.186 * [taylor]: Taking taylor expansion of re in re
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify 1 into 1
3.186 * [backup-simplify]: Simplify (/ -1 1) into -1
3.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.186 * [taylor]: Taking taylor expansion of -1 in re
3.186 * [backup-simplify]: Simplify -1 into -1
3.186 * [taylor]: Taking taylor expansion of im in re
3.186 * [backup-simplify]: Simplify im into im
3.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.186 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.186 * [taylor]: Taking taylor expansion of -1 in re
3.186 * [backup-simplify]: Simplify -1 into -1
3.186 * [taylor]: Taking taylor expansion of im in re
3.186 * [backup-simplify]: Simplify im into im
3.186 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.186 * [backup-simplify]: Simplify (* -1 -1) into 1
3.187 * [backup-simplify]: Simplify (+ 1 0) into 1
3.187 * [backup-simplify]: Simplify (sqrt 1) into 1
3.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.188 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.188 * [backup-simplify]: Simplify (+ 0 0) into 0
3.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.189 * [backup-simplify]: Simplify (/ 1 1) into 1
3.189 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.189 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.189 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.189 * [taylor]: Taking taylor expansion of -1 in re
3.189 * [backup-simplify]: Simplify -1 into -1
3.189 * [taylor]: Taking taylor expansion of re in re
3.189 * [backup-simplify]: Simplify 0 into 0
3.189 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (/ -1 1) into -1
3.190 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.190 * [taylor]: Taking taylor expansion of -1 in re
3.190 * [backup-simplify]: Simplify -1 into -1
3.190 * [taylor]: Taking taylor expansion of re in re
3.190 * [backup-simplify]: Simplify 0 into 0
3.190 * [backup-simplify]: Simplify 1 into 1
3.190 * [backup-simplify]: Simplify (/ -1 1) into -1
3.190 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.190 * [taylor]: Taking taylor expansion of -1 in re
3.190 * [backup-simplify]: Simplify -1 into -1
3.190 * [taylor]: Taking taylor expansion of im in re
3.190 * [backup-simplify]: Simplify im into im
3.190 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.190 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.190 * [taylor]: Taking taylor expansion of -1 in re
3.190 * [backup-simplify]: Simplify -1 into -1
3.190 * [taylor]: Taking taylor expansion of im in re
3.190 * [backup-simplify]: Simplify im into im
3.190 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.191 * [backup-simplify]: Simplify (* -1 -1) into 1
3.191 * [backup-simplify]: Simplify (+ 1 0) into 1
3.191 * [backup-simplify]: Simplify (sqrt 1) into 1
3.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.193 * [taylor]: Taking taylor expansion of re in re
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 1 into 1
3.193 * [backup-simplify]: Simplify (/ 1 1) into 1
3.194 * [backup-simplify]: Simplify (- 1) into -1
3.194 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.194 * [taylor]: Taking taylor expansion of 0 in im
3.194 * [backup-simplify]: Simplify 0 into 0
3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.195 * [backup-simplify]: Simplify (- 0) into 0
3.195 * [backup-simplify]: Simplify (+ 0 0) into 0
3.195 * [taylor]: Taking taylor expansion of 0 in im
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 0 into 0
3.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.197 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.200 * [backup-simplify]: Simplify (- 0) into 0
3.200 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.200 * [taylor]: Taking taylor expansion of 1/2 in im
3.200 * [backup-simplify]: Simplify 1/2 into 1/2
3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.200 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.200 * [taylor]: Taking taylor expansion of im in im
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.201 * [backup-simplify]: Simplify (/ 1 1) into 1
3.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 0 into 0
3.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.205 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.205 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.205 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.205 * [backup-simplify]: Simplify (+ 0 0) into 0
3.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.207 * [backup-simplify]: Simplify (- 0) into 0
3.208 * [backup-simplify]: Simplify (+ 0 0) into 0
3.208 * [taylor]: Taking taylor expansion of 0 in im
3.208 * [backup-simplify]: Simplify 0 into 0
3.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * [backup-simplify]: Simplify 0 into 0
3.211 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
3.211 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
3.211 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
3.211 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.211 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.211 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.211 * [taylor]: Taking taylor expansion of (* re re) in im
3.211 * [taylor]: Taking taylor expansion of re in im
3.212 * [backup-simplify]: Simplify re into re
3.212 * [taylor]: Taking taylor expansion of re in im
3.212 * [backup-simplify]: Simplify re into re
3.212 * [taylor]: Taking taylor expansion of (* im im) in im
3.212 * [taylor]: Taking taylor expansion of im in im
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [taylor]: Taking taylor expansion of im in im
3.212 * [backup-simplify]: Simplify 0 into 0
3.212 * [backup-simplify]: Simplify 1 into 1
3.212 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.212 * [backup-simplify]: Simplify (* 0 0) into 0
3.212 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.213 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.213 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.214 * [backup-simplify]: Simplify (+ 0 0) into 0
3.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.214 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.214 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.214 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.214 * [taylor]: Taking taylor expansion of (* re re) in re
3.214 * [taylor]: Taking taylor expansion of re in re
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [taylor]: Taking taylor expansion of re in re
3.214 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify 1 into 1
3.214 * [taylor]: Taking taylor expansion of (* im im) in re
3.214 * [taylor]: Taking taylor expansion of im in re
3.214 * [backup-simplify]: Simplify im into im
3.214 * [taylor]: Taking taylor expansion of im in re
3.214 * [backup-simplify]: Simplify im into im
3.215 * [backup-simplify]: Simplify (* 0 0) into 0
3.215 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.215 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.215 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.216 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.216 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.216 * [backup-simplify]: Simplify (+ 0 0) into 0
3.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.217 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.217 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.217 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.217 * [taylor]: Taking taylor expansion of (* re re) in re
3.217 * [taylor]: Taking taylor expansion of re in re
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [taylor]: Taking taylor expansion of re in re
3.217 * [backup-simplify]: Simplify 0 into 0
3.217 * [backup-simplify]: Simplify 1 into 1
3.217 * [taylor]: Taking taylor expansion of (* im im) in re
3.217 * [taylor]: Taking taylor expansion of im in re
3.217 * [backup-simplify]: Simplify im into im
3.217 * [taylor]: Taking taylor expansion of im in re
3.217 * [backup-simplify]: Simplify im into im
3.217 * [backup-simplify]: Simplify (* 0 0) into 0
3.217 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.218 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.218 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.218 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.219 * [backup-simplify]: Simplify (+ 0 0) into 0
3.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.219 * [taylor]: Taking taylor expansion of im in im
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [taylor]: Taking taylor expansion of 0 in im
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 0 into 0
3.219 * [backup-simplify]: Simplify 1 into 1
3.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.220 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.220 * [backup-simplify]: Simplify (+ 1 0) into 1
3.221 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.221 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.221 * [taylor]: Taking taylor expansion of 1/2 in im
3.221 * [backup-simplify]: Simplify 1/2 into 1/2
3.221 * [taylor]: Taking taylor expansion of im in im
3.221 * [backup-simplify]: Simplify 0 into 0
3.221 * [backup-simplify]: Simplify 1 into 1
3.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.223 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.223 * [backup-simplify]: Simplify (+ 0 0) into 0
3.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.223 * [taylor]: Taking taylor expansion of 0 in im
3.223 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.224 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.224 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
3.224 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
3.224 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.224 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.224 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.224 * [taylor]: Taking taylor expansion of re in im
3.224 * [backup-simplify]: Simplify re into re
3.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.224 * [taylor]: Taking taylor expansion of re in im
3.224 * [backup-simplify]: Simplify re into re
3.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.224 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.224 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.224 * [taylor]: Taking taylor expansion of im in im
3.224 * [backup-simplify]: Simplify 0 into 0
3.224 * [backup-simplify]: Simplify 1 into 1
3.225 * [backup-simplify]: Simplify (/ 1 1) into 1
3.225 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.225 * [taylor]: Taking taylor expansion of im in im
3.225 * [backup-simplify]: Simplify 0 into 0
3.225 * [backup-simplify]: Simplify 1 into 1
3.225 * [backup-simplify]: Simplify (/ 1 1) into 1
3.225 * [backup-simplify]: Simplify (* 1 1) into 1
3.225 * [backup-simplify]: Simplify (+ 0 1) into 1
3.226 * [backup-simplify]: Simplify (sqrt 1) into 1
3.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.227 * [backup-simplify]: Simplify (+ 0 0) into 0
3.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.228 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.228 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.228 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.228 * [taylor]: Taking taylor expansion of re in re
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 1 into 1
3.228 * [backup-simplify]: Simplify (/ 1 1) into 1
3.228 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.228 * [taylor]: Taking taylor expansion of re in re
3.228 * [backup-simplify]: Simplify 0 into 0
3.228 * [backup-simplify]: Simplify 1 into 1
3.229 * [backup-simplify]: Simplify (/ 1 1) into 1
3.229 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.229 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.229 * [taylor]: Taking taylor expansion of im in re
3.229 * [backup-simplify]: Simplify im into im
3.229 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.229 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.229 * [taylor]: Taking taylor expansion of im in re
3.229 * [backup-simplify]: Simplify im into im
3.229 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.229 * [backup-simplify]: Simplify (* 1 1) into 1
3.229 * [backup-simplify]: Simplify (+ 1 0) into 1
3.230 * [backup-simplify]: Simplify (sqrt 1) into 1
3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.231 * [backup-simplify]: Simplify (+ 0 0) into 0
3.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.232 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.232 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.232 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.232 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.232 * [taylor]: Taking taylor expansion of re in re
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.232 * [taylor]: Taking taylor expansion of re in re
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.232 * [backup-simplify]: Simplify (/ 1 1) into 1
3.232 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.232 * [taylor]: Taking taylor expansion of im in re
3.232 * [backup-simplify]: Simplify im into im
3.232 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.232 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.232 * [taylor]: Taking taylor expansion of im in re
3.232 * [backup-simplify]: Simplify im into im
3.232 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.233 * [backup-simplify]: Simplify (* 1 1) into 1
3.233 * [backup-simplify]: Simplify (+ 1 0) into 1
3.233 * [backup-simplify]: Simplify (sqrt 1) into 1
3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.235 * [backup-simplify]: Simplify (+ 0 0) into 0
3.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.235 * [taylor]: Taking taylor expansion of 1 in im
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [taylor]: Taking taylor expansion of 0 in im
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.237 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.237 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.238 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.238 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.238 * [taylor]: Taking taylor expansion of 1/2 in im
3.238 * [backup-simplify]: Simplify 1/2 into 1/2
3.238 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.238 * [taylor]: Taking taylor expansion of im in im
3.238 * [backup-simplify]: Simplify 0 into 0
3.238 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.239 * [backup-simplify]: Simplify 0 into 0
3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.241 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.242 * [backup-simplify]: Simplify (+ 0 0) into 0
3.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.242 * [taylor]: Taking taylor expansion of 0 in im
3.242 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify 0 into 0
3.243 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.243 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
3.243 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
3.243 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.244 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.244 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.244 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.244 * [taylor]: Taking taylor expansion of -1 in im
3.244 * [backup-simplify]: Simplify -1 into -1
3.244 * [taylor]: Taking taylor expansion of re in im
3.244 * [backup-simplify]: Simplify re into re
3.244 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.244 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.244 * [taylor]: Taking taylor expansion of -1 in im
3.244 * [backup-simplify]: Simplify -1 into -1
3.244 * [taylor]: Taking taylor expansion of re in im
3.244 * [backup-simplify]: Simplify re into re
3.244 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.244 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.244 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.244 * [taylor]: Taking taylor expansion of -1 in im
3.244 * [backup-simplify]: Simplify -1 into -1
3.244 * [taylor]: Taking taylor expansion of im in im
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.244 * [backup-simplify]: Simplify (/ -1 1) into -1
3.244 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.244 * [taylor]: Taking taylor expansion of -1 in im
3.244 * [backup-simplify]: Simplify -1 into -1
3.244 * [taylor]: Taking taylor expansion of im in im
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.245 * [backup-simplify]: Simplify (/ -1 1) into -1
3.245 * [backup-simplify]: Simplify (* -1 -1) into 1
3.245 * [backup-simplify]: Simplify (+ 0 1) into 1
3.245 * [backup-simplify]: Simplify (sqrt 1) into 1
3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.247 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.247 * [backup-simplify]: Simplify (+ 0 0) into 0
3.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.247 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.248 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.248 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.248 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.248 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.248 * [taylor]: Taking taylor expansion of -1 in re
3.248 * [backup-simplify]: Simplify -1 into -1
3.248 * [taylor]: Taking taylor expansion of re in re
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [backup-simplify]: Simplify (/ -1 1) into -1
3.248 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.248 * [taylor]: Taking taylor expansion of -1 in re
3.248 * [backup-simplify]: Simplify -1 into -1
3.248 * [taylor]: Taking taylor expansion of re in re
3.248 * [backup-simplify]: Simplify 0 into 0
3.248 * [backup-simplify]: Simplify 1 into 1
3.248 * [backup-simplify]: Simplify (/ -1 1) into -1
3.248 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.248 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.248 * [taylor]: Taking taylor expansion of -1 in re
3.248 * [backup-simplify]: Simplify -1 into -1
3.248 * [taylor]: Taking taylor expansion of im in re
3.248 * [backup-simplify]: Simplify im into im
3.248 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.248 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.248 * [taylor]: Taking taylor expansion of -1 in re
3.248 * [backup-simplify]: Simplify -1 into -1
3.248 * [taylor]: Taking taylor expansion of im in re
3.249 * [backup-simplify]: Simplify im into im
3.249 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.249 * [backup-simplify]: Simplify (* -1 -1) into 1
3.249 * [backup-simplify]: Simplify (+ 1 0) into 1
3.249 * [backup-simplify]: Simplify (sqrt 1) into 1
3.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.251 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.251 * [backup-simplify]: Simplify (+ 0 0) into 0
3.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.252 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.252 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.252 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.252 * [taylor]: Taking taylor expansion of -1 in re
3.252 * [backup-simplify]: Simplify -1 into -1
3.252 * [taylor]: Taking taylor expansion of re in re
3.252 * [backup-simplify]: Simplify 0 into 0
3.252 * [backup-simplify]: Simplify 1 into 1
3.252 * [backup-simplify]: Simplify (/ -1 1) into -1
3.252 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.252 * [taylor]: Taking taylor expansion of -1 in re
3.253 * [backup-simplify]: Simplify -1 into -1
3.253 * [taylor]: Taking taylor expansion of re in re
3.253 * [backup-simplify]: Simplify 0 into 0
3.253 * [backup-simplify]: Simplify 1 into 1
3.253 * [backup-simplify]: Simplify (/ -1 1) into -1
3.253 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.253 * [taylor]: Taking taylor expansion of -1 in re
3.253 * [backup-simplify]: Simplify -1 into -1
3.253 * [taylor]: Taking taylor expansion of im in re
3.253 * [backup-simplify]: Simplify im into im
3.253 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.253 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.253 * [taylor]: Taking taylor expansion of -1 in re
3.253 * [backup-simplify]: Simplify -1 into -1
3.253 * [taylor]: Taking taylor expansion of im in re
3.253 * [backup-simplify]: Simplify im into im
3.254 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.254 * [backup-simplify]: Simplify (* -1 -1) into 1
3.254 * [backup-simplify]: Simplify (+ 1 0) into 1
3.255 * [backup-simplify]: Simplify (sqrt 1) into 1
3.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.258 * [taylor]: Taking taylor expansion of 1 in im
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [taylor]: Taking taylor expansion of 0 in im
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.262 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.262 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.263 * [taylor]: Taking taylor expansion of 1/2 in im
3.263 * [backup-simplify]: Simplify 1/2 into 1/2
3.263 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.263 * [taylor]: Taking taylor expansion of im in im
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 1 into 1
3.264 * [backup-simplify]: Simplify (* 1 1) into 1
3.264 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 0 into 0
3.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.269 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.269 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.269 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.270 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.270 * [backup-simplify]: Simplify (+ 0 0) into 0
3.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.271 * [taylor]: Taking taylor expansion of 0 in im
3.271 * [backup-simplify]: Simplify 0 into 0
3.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.273 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
3.273 * [backup-simplify]: Simplify (sqrt (+ (hypot re im) re)) into (sqrt (+ (hypot re im) re))
3.273 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in (re im) around 0
3.273 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
3.273 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
3.273 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.274 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.274 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.274 * [taylor]: Taking taylor expansion of (* re re) in im
3.274 * [taylor]: Taking taylor expansion of re in im
3.274 * [backup-simplify]: Simplify re into re
3.274 * [taylor]: Taking taylor expansion of re in im
3.274 * [backup-simplify]: Simplify re into re
3.274 * [taylor]: Taking taylor expansion of (* im im) in im
3.274 * [taylor]: Taking taylor expansion of im in im
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.274 * [taylor]: Taking taylor expansion of im in im
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.274 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.274 * [backup-simplify]: Simplify (* 0 0) into 0
3.275 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.275 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.275 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.275 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.276 * [backup-simplify]: Simplify (+ 0 0) into 0
3.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.276 * [taylor]: Taking taylor expansion of re in im
3.276 * [backup-simplify]: Simplify re into re
3.276 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
3.276 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
3.277 * [backup-simplify]: Simplify (+ 0 0) into 0
3.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
3.277 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
3.277 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
3.277 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.277 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.277 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.277 * [taylor]: Taking taylor expansion of (* re re) in re
3.277 * [taylor]: Taking taylor expansion of re in re
3.277 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify 1 into 1
3.277 * [taylor]: Taking taylor expansion of re in re
3.277 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify 1 into 1
3.277 * [taylor]: Taking taylor expansion of (* im im) in re
3.277 * [taylor]: Taking taylor expansion of im in re
3.278 * [backup-simplify]: Simplify im into im
3.278 * [taylor]: Taking taylor expansion of im in re
3.278 * [backup-simplify]: Simplify im into im
3.278 * [backup-simplify]: Simplify (* 0 0) into 0
3.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.278 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.279 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.280 * [backup-simplify]: Simplify (+ 0 0) into 0
3.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.280 * [taylor]: Taking taylor expansion of re in re
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 1 into 1
3.280 * [backup-simplify]: Simplify (+ im 0) into im
3.280 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.280 * [backup-simplify]: Simplify (+ 0 1) into 1
3.280 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.280 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
3.280 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
3.281 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.281 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.281 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.281 * [taylor]: Taking taylor expansion of (* re re) in re
3.281 * [taylor]: Taking taylor expansion of re in re
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [taylor]: Taking taylor expansion of re in re
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 1 into 1
3.281 * [taylor]: Taking taylor expansion of (* im im) in re
3.281 * [taylor]: Taking taylor expansion of im in re
3.281 * [backup-simplify]: Simplify im into im
3.281 * [taylor]: Taking taylor expansion of im in re
3.281 * [backup-simplify]: Simplify im into im
3.281 * [backup-simplify]: Simplify (* 0 0) into 0
3.281 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.282 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.282 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.282 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.283 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.283 * [backup-simplify]: Simplify (+ 0 0) into 0
3.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.283 * [taylor]: Taking taylor expansion of re in re
3.283 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify 1 into 1
3.283 * [backup-simplify]: Simplify (+ im 0) into im
3.283 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
3.284 * [backup-simplify]: Simplify (+ 0 1) into 1
3.284 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
3.284 * [taylor]: Taking taylor expansion of (sqrt im) in im
3.284 * [taylor]: Taking taylor expansion of im in im
3.284 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify 1 into 1
3.284 * [backup-simplify]: Simplify (sqrt 0) into 0
3.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im
3.286 * [taylor]: Taking taylor expansion of 1/2 in im
3.286 * [backup-simplify]: Simplify 1/2 into 1/2
3.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
3.286 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.286 * [taylor]: Taking taylor expansion of im in im
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.287 * [backup-simplify]: Simplify (sqrt 0) into 0
3.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.290 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0)
3.290 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.290 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.292 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.292 * [backup-simplify]: Simplify (+ 1 0) into 1
3.293 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.293 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
3.294 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3))))
3.294 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im
3.294 * [taylor]: Taking taylor expansion of 1/8 in im
3.294 * [backup-simplify]: Simplify 1/8 into 1/8
3.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
3.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
3.294 * [taylor]: Taking taylor expansion of (pow im 3) in im
3.294 * [taylor]: Taking taylor expansion of im in im
3.294 * [backup-simplify]: Simplify 0 into 0
3.294 * [backup-simplify]: Simplify 1 into 1
3.295 * [backup-simplify]: Simplify (* 1 1) into 1
3.295 * [backup-simplify]: Simplify (* 1 1) into 1
3.295 * [backup-simplify]: Simplify (/ 1 1) into 1
3.296 * [backup-simplify]: Simplify (sqrt 0) into 0
3.297 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.302 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.304 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
3.305 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.306 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
3.306 * [backup-simplify]: Simplify (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) into (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))
3.306 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0
3.306 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
3.306 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
3.306 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.306 * [taylor]: Taking taylor expansion of re in im
3.306 * [backup-simplify]: Simplify re into re
3.306 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.306 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.307 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.307 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.307 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.307 * [taylor]: Taking taylor expansion of re in im
3.307 * [backup-simplify]: Simplify re into re
3.307 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.307 * [taylor]: Taking taylor expansion of re in im
3.307 * [backup-simplify]: Simplify re into re
3.307 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.307 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.307 * [taylor]: Taking taylor expansion of im in im
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.308 * [taylor]: Taking taylor expansion of im in im
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.309 * [backup-simplify]: Simplify (* 1 1) into 1
3.309 * [backup-simplify]: Simplify (+ 0 1) into 1
3.309 * [backup-simplify]: Simplify (sqrt 1) into 1
3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.313 * [backup-simplify]: Simplify (+ 0 1) into 1
3.313 * [backup-simplify]: Simplify (sqrt 0) into 0
3.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
3.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.315 * [taylor]: Taking taylor expansion of re in re
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 1 into 1
3.315 * [backup-simplify]: Simplify (/ 1 1) into 1
3.315 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.315 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.315 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.316 * [taylor]: Taking taylor expansion of re in re
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (/ 1 1) into 1
3.316 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.316 * [taylor]: Taking taylor expansion of re in re
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (/ 1 1) into 1
3.316 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.316 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.316 * [taylor]: Taking taylor expansion of im in re
3.316 * [backup-simplify]: Simplify im into im
3.317 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.317 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.317 * [taylor]: Taking taylor expansion of im in re
3.317 * [backup-simplify]: Simplify im into im
3.317 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.317 * [backup-simplify]: Simplify (* 1 1) into 1
3.317 * [backup-simplify]: Simplify (+ 1 0) into 1
3.318 * [backup-simplify]: Simplify (sqrt 1) into 1
3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.321 * [backup-simplify]: Simplify (+ 1 1) into 2
3.322 * [backup-simplify]: Simplify (sqrt 0) into 0
3.323 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
3.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.323 * [taylor]: Taking taylor expansion of re in re
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 1 into 1
3.323 * [backup-simplify]: Simplify (/ 1 1) into 1
3.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.324 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.324 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.324 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.324 * [taylor]: Taking taylor expansion of re in re
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (/ 1 1) into 1
3.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.324 * [taylor]: Taking taylor expansion of re in re
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.325 * [backup-simplify]: Simplify (/ 1 1) into 1
3.325 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.325 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.325 * [taylor]: Taking taylor expansion of im in re
3.325 * [backup-simplify]: Simplify im into im
3.325 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.325 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.325 * [taylor]: Taking taylor expansion of im in re
3.325 * [backup-simplify]: Simplify im into im
3.325 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.325 * [backup-simplify]: Simplify (* 1 1) into 1
3.326 * [backup-simplify]: Simplify (+ 1 0) into 1
3.326 * [backup-simplify]: Simplify (sqrt 1) into 1
3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.331 * [backup-simplify]: Simplify (+ 0 0) into 0
3.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.332 * [backup-simplify]: Simplify (+ 1 1) into 2
3.333 * [backup-simplify]: Simplify (sqrt 0) into 0
3.334 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
3.334 * [taylor]: Taking taylor expansion of 0 in im
3.334 * [backup-simplify]: Simplify 0 into 0
3.334 * [taylor]: Taking taylor expansion of +nan.0 in im
3.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.334 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.335 * [backup-simplify]: Simplify (+ 0 0) into 0
3.338 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
3.338 * [taylor]: Taking taylor expansion of +nan.0 in im
3.338 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.338 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.338 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.342 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.342 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.344 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.344 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
3.346 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
3.346 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
3.346 * [taylor]: Taking taylor expansion of +nan.0 in im
3.346 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.346 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
3.346 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
3.346 * [taylor]: Taking taylor expansion of 1/2 in im
3.346 * [backup-simplify]: Simplify 1/2 into 1/2
3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.346 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.346 * [taylor]: Taking taylor expansion of im in im
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 1 into 1
3.347 * [backup-simplify]: Simplify (* 1 1) into 1
3.347 * [backup-simplify]: Simplify (/ 1 1) into 1
3.347 * [taylor]: Taking taylor expansion of +nan.0 in im
3.347 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.349 * [backup-simplify]: Simplify (+ 0 0) into 0
3.350 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
3.350 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
3.351 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.351 * [backup-simplify]: Simplify 0 into 0
3.351 * [backup-simplify]: Simplify 0 into 0
3.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.355 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.356 * [backup-simplify]: Simplify (+ 0 0) into 0
3.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.357 * [backup-simplify]: Simplify (+ 0 0) into 0
3.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
3.358 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
3.358 * [taylor]: Taking taylor expansion of +nan.0 in im
3.358 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.358 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
3.358 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
3.358 * [taylor]: Taking taylor expansion of +nan.0 in im
3.358 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.358 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.358 * [taylor]: Taking taylor expansion of im in im
3.358 * [backup-simplify]: Simplify 0 into 0
3.358 * [backup-simplify]: Simplify 1 into 1
3.359 * [backup-simplify]: Simplify (* 1 1) into 1
3.359 * [backup-simplify]: Simplify (/ 1 1) into 1
3.359 * [taylor]: Taking taylor expansion of (- +nan.0) in im
3.359 * [taylor]: Taking taylor expansion of +nan.0 in im
3.359 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.361 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.362 * [backup-simplify]: Simplify (+ 0 0) into 0
3.362 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.363 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.363 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
3.363 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.367 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.368 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
3.370 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
3.371 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
3.372 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
3.372 * [backup-simplify]: Simplify (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))
3.372 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0
3.372 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
3.372 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
3.372 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.372 * [taylor]: Taking taylor expansion of -1 in im
3.372 * [backup-simplify]: Simplify -1 into -1
3.372 * [taylor]: Taking taylor expansion of re in im
3.372 * [backup-simplify]: Simplify re into re
3.372 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.372 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.372 * [taylor]: Taking taylor expansion of -1 in im
3.373 * [backup-simplify]: Simplify -1 into -1
3.373 * [taylor]: Taking taylor expansion of re in im
3.373 * [backup-simplify]: Simplify re into re
3.373 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.373 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.373 * [taylor]: Taking taylor expansion of -1 in im
3.373 * [backup-simplify]: Simplify -1 into -1
3.373 * [taylor]: Taking taylor expansion of im in im
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 1 into 1
3.373 * [backup-simplify]: Simplify (/ -1 1) into -1
3.373 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.373 * [taylor]: Taking taylor expansion of -1 in im
3.373 * [backup-simplify]: Simplify -1 into -1
3.373 * [taylor]: Taking taylor expansion of im in im
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 1 into 1
3.374 * [backup-simplify]: Simplify (/ -1 1) into -1
3.374 * [backup-simplify]: Simplify (* -1 -1) into 1
3.375 * [backup-simplify]: Simplify (+ 0 1) into 1
3.375 * [backup-simplify]: Simplify (sqrt 1) into 1
3.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.378 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.378 * [backup-simplify]: Simplify (+ 0 0) into 0
3.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.379 * [taylor]: Taking taylor expansion of re in im
3.379 * [backup-simplify]: Simplify re into re
3.379 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.379 * [backup-simplify]: Simplify (+ 1 0) into 1
3.380 * [backup-simplify]: Simplify (sqrt 0) into 0
3.381 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
3.381 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.381 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.381 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.381 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.381 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.381 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.381 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.381 * [taylor]: Taking taylor expansion of -1 in re
3.381 * [backup-simplify]: Simplify -1 into -1
3.381 * [taylor]: Taking taylor expansion of re in re
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.382 * [backup-simplify]: Simplify (/ -1 1) into -1
3.382 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.382 * [taylor]: Taking taylor expansion of -1 in re
3.382 * [backup-simplify]: Simplify -1 into -1
3.382 * [taylor]: Taking taylor expansion of re in re
3.382 * [backup-simplify]: Simplify 0 into 0
3.382 * [backup-simplify]: Simplify 1 into 1
3.383 * [backup-simplify]: Simplify (/ -1 1) into -1
3.383 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.383 * [taylor]: Taking taylor expansion of -1 in re
3.383 * [backup-simplify]: Simplify -1 into -1
3.383 * [taylor]: Taking taylor expansion of im in re
3.383 * [backup-simplify]: Simplify im into im
3.383 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.383 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.383 * [taylor]: Taking taylor expansion of -1 in re
3.383 * [backup-simplify]: Simplify -1 into -1
3.383 * [taylor]: Taking taylor expansion of im in re
3.383 * [backup-simplify]: Simplify im into im
3.383 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.383 * [backup-simplify]: Simplify (* -1 -1) into 1
3.384 * [backup-simplify]: Simplify (+ 1 0) into 1
3.384 * [backup-simplify]: Simplify (sqrt 1) into 1
3.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.387 * [backup-simplify]: Simplify (+ 0 0) into 0
3.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.388 * [taylor]: Taking taylor expansion of re in re
3.388 * [backup-simplify]: Simplify 0 into 0
3.388 * [backup-simplify]: Simplify 1 into 1
3.389 * [backup-simplify]: Simplify (/ 1 1) into 1
3.389 * [backup-simplify]: Simplify (- 1) into -1
3.390 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.391 * [backup-simplify]: Simplify (- 0) into 0
3.391 * [backup-simplify]: Simplify (+ 0 0) into 0
3.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.394 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.394 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.396 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.398 * [backup-simplify]: Simplify (- 0) into 0
3.398 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.398 * [backup-simplify]: Simplify (sqrt 0) into 0
3.399 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.399 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
3.399 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
3.399 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.400 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.400 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.400 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.400 * [taylor]: Taking taylor expansion of -1 in re
3.400 * [backup-simplify]: Simplify -1 into -1
3.400 * [taylor]: Taking taylor expansion of re in re
3.400 * [backup-simplify]: Simplify 0 into 0
3.400 * [backup-simplify]: Simplify 1 into 1
3.400 * [backup-simplify]: Simplify (/ -1 1) into -1
3.400 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.400 * [taylor]: Taking taylor expansion of -1 in re
3.400 * [backup-simplify]: Simplify -1 into -1
3.400 * [taylor]: Taking taylor expansion of re in re
3.400 * [backup-simplify]: Simplify 0 into 0
3.401 * [backup-simplify]: Simplify 1 into 1
3.401 * [backup-simplify]: Simplify (/ -1 1) into -1
3.401 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.401 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.401 * [taylor]: Taking taylor expansion of -1 in re
3.401 * [backup-simplify]: Simplify -1 into -1
3.401 * [taylor]: Taking taylor expansion of im in re
3.401 * [backup-simplify]: Simplify im into im
3.401 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.401 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.401 * [taylor]: Taking taylor expansion of -1 in re
3.401 * [backup-simplify]: Simplify -1 into -1
3.402 * [taylor]: Taking taylor expansion of im in re
3.402 * [backup-simplify]: Simplify im into im
3.402 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.402 * [backup-simplify]: Simplify (* -1 -1) into 1
3.403 * [backup-simplify]: Simplify (+ 1 0) into 1
3.403 * [backup-simplify]: Simplify (sqrt 1) into 1
3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.406 * [backup-simplify]: Simplify (+ 0 0) into 0
3.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.407 * [taylor]: Taking taylor expansion of re in re
3.407 * [backup-simplify]: Simplify 0 into 0
3.407 * [backup-simplify]: Simplify 1 into 1
3.407 * [backup-simplify]: Simplify (/ 1 1) into 1
3.407 * [backup-simplify]: Simplify (- 1) into -1
3.408 * [backup-simplify]: Simplify (+ 1 -1) into 0
3.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (- 0) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.413 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.416 * [backup-simplify]: Simplify (- 0) into 0
3.416 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
3.416 * [backup-simplify]: Simplify (sqrt 0) into 0
3.417 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
3.417 * [taylor]: Taking taylor expansion of 0 in im
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im
3.417 * [taylor]: Taking taylor expansion of +nan.0 in im
3.417 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.417 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.417 * [taylor]: Taking taylor expansion of im in im
3.417 * [backup-simplify]: Simplify 0 into 0
3.417 * [backup-simplify]: Simplify 1 into 1
3.418 * [backup-simplify]: Simplify (* 1 1) into 1
3.418 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.420 * [backup-simplify]: Simplify 0 into 0
3.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.423 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.423 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.424 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.424 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.424 * [backup-simplify]: Simplify (+ 0 0) into 0
3.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.426 * [backup-simplify]: Simplify (- 0) into 0
3.426 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
3.428 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im
3.428 * [taylor]: Taking taylor expansion of +nan.0 in im
3.428 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.428 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.428 * [taylor]: Taking taylor expansion of im in im
3.428 * [backup-simplify]: Simplify 0 into 0
3.428 * [backup-simplify]: Simplify 1 into 1
3.428 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (* 1 1) into 1
3.429 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0
3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.437 * [backup-simplify]: Simplify 0 into 0
3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.439 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.443 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.443 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.443 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
3.444 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.446 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify (- 0) into 0
3.447 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
3.448 * [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)))))
3.448 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im
3.449 * [taylor]: Taking taylor expansion of +nan.0 in im
3.449 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.449 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im
3.449 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im
3.449 * [taylor]: Taking taylor expansion of +nan.0 in im
3.449 * [backup-simplify]: Simplify +nan.0 into +nan.0
3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im
3.449 * [taylor]: Taking taylor expansion of (pow im 6) in im
3.449 * [taylor]: Taking taylor expansion of im in im
3.449 * [backup-simplify]: Simplify 0 into 0
3.449 * [backup-simplify]: Simplify 1 into 1
3.449 * [backup-simplify]: Simplify (* 1 1) into 1
3.450 * [backup-simplify]: Simplify (* 1 1) into 1
3.450 * [backup-simplify]: Simplify (* 1 1) into 1
3.450 * [backup-simplify]: Simplify (/ 1 1) into 1
3.450 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im
3.450 * [taylor]: Taking taylor expansion of 1/8 in im
3.451 * [backup-simplify]: Simplify 1/8 into 1/8
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
3.451 * [taylor]: Taking taylor expansion of (pow im 4) in im
3.451 * [taylor]: Taking taylor expansion of im in im
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [backup-simplify]: Simplify (* 1 1) into 1
3.451 * [backup-simplify]: Simplify (* 1 1) into 1
3.452 * [backup-simplify]: Simplify (/ 1 1) into 1
3.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.473 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.488 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
3.488 * [backup-simplify]: Simplify (+ 0 0) into 0
3.489 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
3.490 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
3.492 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
3.492 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
3.493 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
3.493 * [backup-simplify]: Simplify (+ 0 0) into 0
3.494 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
3.494 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
3.496 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * [backup-simplify]: Simplify 0 into 0
3.496 * * * [progress]: simplifying candidates
3.498 * [simplify]: Simplifying:
  (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (log1p (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (+ (hypot re im) re) 2.0)
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (+ (hypot re im) re) 2.0)
  (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt 2.0)))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (exp (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))
  (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (+ (hypot re im) re) 2.0)
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) 1)
  (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
  (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0))
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ (hypot re im) re)))
  (log1p (sqrt (+ (hypot re im) re)))
  (log (sqrt (+ (hypot re im) re)))
  (exp (sqrt (+ (hypot re im) re)))
  (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))
  (cbrt (sqrt (+ (hypot re im) re)))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))
  (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))
  (sqrt (cbrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt 1)
  (sqrt (+ (hypot re im) re))
  (sqrt 1)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (pow (hypot re im) 3) (pow re 3)))
  (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))
  (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))
  (sqrt (- (hypot re im) re))
  (/ 1 2)
  (sqrt (sqrt (+ (hypot re im) re)))
  (sqrt (sqrt (+ (hypot re im) re)))
  (- (+ (* +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
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
  (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  0
3.501 * * [simplify]: iteration 0: 135 enodes
3.546 * * [simplify]: iteration 1: 307 enodes
3.706 * * [simplify]: iteration 2: 1285 enodes
4.327 * * [simplify]: iteration complete: 5001 enodes
4.327 * * [simplify]: Extracting #0: cost 68 inf + 0
4.329 * * [simplify]: Extracting #1: cost 574 inf + 5
4.342 * * [simplify]: Extracting #2: cost 1565 inf + 19381
4.374 * * [simplify]: Extracting #3: cost 804 inf + 174546
4.468 * * [simplify]: Extracting #4: cost 72 inf + 285254
4.572 * * [simplify]: Extracting #5: cost 5 inf + 295753
4.633 * * [simplify]: Extracting #6: cost 0 inf + 297129
4.699 * [simplify]: Simplified to:
  (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* 2.0 (+ (hypot re im) re))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* 2.0 (+ (hypot re im) re))
  (log (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (log (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt 2.0))) (+ re (hypot re im)))
  (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))))
  (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* (* (sqrt 2.0) (+ re (hypot re im))) (* 2.0 (sqrt (+ re (hypot re im)))))
  (* 2.0 (+ (hypot re im) re))
  (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
  (* (fabs (cbrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0))
  (* (sqrt 2.0) (sqrt (cbrt (+ re (hypot re im)))))
  (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt 2.0) (sqrt (+ re (hypot re im))))
  (* (sqrt 2.0) (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im))))))
  (* (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) (sqrt 2.0))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im))))
  (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im)))
  (* (- (hypot re im) re) (+ re (hypot re im)))
  (- (hypot re im) re)
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (sqrt (+ re (hypot re im))))
  (log1p (sqrt (+ re (hypot re im))))
  (log (sqrt (+ re (hypot re im))))
  (exp (sqrt (+ re (hypot re im))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (cbrt (sqrt (+ re (hypot re im))))
  (* (sqrt (+ re (hypot re im))) (+ re (hypot re im)))
  (fabs (cbrt (+ re (hypot re im))))
  (sqrt (cbrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  1
  (sqrt (+ re (hypot re im)))
  1
  (sqrt (+ re (hypot re im)))
  (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im)))))
  (sqrt (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im))))
  (sqrt (* (- (hypot re im) re) (+ re (hypot re im))))
  (sqrt (- (hypot re im) re))
  1/2
  (sqrt (sqrt (+ re (hypot re im))))
  (sqrt (sqrt (+ re (hypot re im))))
  (* (* (sqrt 2.0) +nan.0) (+ (- im re) (- (* re re))))
  (* +nan.0 (+ (- (/ (sqrt 2.0) re) (/ (/ (sqrt 2.0) re) re)) (- (sqrt 2.0))))
  0
  (+ im re)
  (* 2 re)
  0
  im
  re
  (- re)
  (* +nan.0 (+ (- re) (- (* re re) im)))
  (- (+ (- (/ +nan.0 re) (/ (/ +nan.0 re) re)) +nan.0))
  0
4.704 * * * [progress]: adding candidates to table
5.229 * * [progress]: iteration 3 / 4
5.229 * * * [progress]: picking best candidate
5.268 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))>
5.268 * * * [progress]: localizing error
5.317 * * * [progress]: generating rewritten candidates
5.317 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
5.411 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
5.450 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
5.454 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1)
5.457 * * * [progress]: generating series expansions
5.457 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
5.458 * [backup-simplify]: Simplify (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))
5.458 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0
5.459 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im
5.459 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
5.459 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
5.459 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.459 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.459 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.459 * [taylor]: Taking taylor expansion of (* re re) in im
5.459 * [taylor]: Taking taylor expansion of re in im
5.459 * [backup-simplify]: Simplify re into re
5.459 * [taylor]: Taking taylor expansion of re in im
5.459 * [backup-simplify]: Simplify re into re
5.459 * [taylor]: Taking taylor expansion of (* im im) in im
5.459 * [taylor]: Taking taylor expansion of im in im
5.459 * [backup-simplify]: Simplify 0 into 0
5.459 * [backup-simplify]: Simplify 1 into 1
5.459 * [taylor]: Taking taylor expansion of im in im
5.459 * [backup-simplify]: Simplify 0 into 0
5.459 * [backup-simplify]: Simplify 1 into 1
5.459 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.459 * [backup-simplify]: Simplify (* 0 0) into 0
5.459 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.459 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.459 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.460 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.460 * [backup-simplify]: Simplify (+ 0 0) into 0
5.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.460 * [taylor]: Taking taylor expansion of re in im
5.460 * [backup-simplify]: Simplify re into re
5.460 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.460 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
5.461 * [backup-simplify]: Simplify (+ 0 0) into 0
5.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.461 * [taylor]: Taking taylor expansion of 2.0 in im
5.461 * [backup-simplify]: Simplify 2.0 into 2.0
5.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.461 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re
5.461 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
5.461 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
5.461 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.462 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.462 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.462 * [taylor]: Taking taylor expansion of (* re re) in re
5.462 * [taylor]: Taking taylor expansion of re in re
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [taylor]: Taking taylor expansion of re in re
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [taylor]: Taking taylor expansion of (* im im) in re
5.462 * [taylor]: Taking taylor expansion of im in re
5.462 * [backup-simplify]: Simplify im into im
5.462 * [taylor]: Taking taylor expansion of im in re
5.462 * [backup-simplify]: Simplify im into im
5.462 * [backup-simplify]: Simplify (* 0 0) into 0
5.462 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.462 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.462 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.463 * [backup-simplify]: Simplify (+ 0 0) into 0
5.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.463 * [taylor]: Taking taylor expansion of re in re
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (+ im 0) into im
5.463 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.463 * [backup-simplify]: Simplify (+ 0 1) into 1
5.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.463 * [taylor]: Taking taylor expansion of 2.0 in re
5.463 * [backup-simplify]: Simplify 2.0 into 2.0
5.464 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.464 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re
5.464 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
5.464 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
5.464 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.464 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.464 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.464 * [taylor]: Taking taylor expansion of (* re re) in re
5.464 * [taylor]: Taking taylor expansion of re in re
5.464 * [backup-simplify]: Simplify 0 into 0
5.464 * [backup-simplify]: Simplify 1 into 1
5.464 * [taylor]: Taking taylor expansion of re in re
5.464 * [backup-simplify]: Simplify 0 into 0
5.464 * [backup-simplify]: Simplify 1 into 1
5.464 * [taylor]: Taking taylor expansion of (* im im) in re
5.464 * [taylor]: Taking taylor expansion of im in re
5.464 * [backup-simplify]: Simplify im into im
5.464 * [taylor]: Taking taylor expansion of im in re
5.465 * [backup-simplify]: Simplify im into im
5.465 * [backup-simplify]: Simplify (* 0 0) into 0
5.465 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.465 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.465 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.465 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.465 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.466 * [backup-simplify]: Simplify (+ 0 0) into 0
5.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.466 * [taylor]: Taking taylor expansion of re in re
5.466 * [backup-simplify]: Simplify 0 into 0
5.466 * [backup-simplify]: Simplify 1 into 1
5.466 * [backup-simplify]: Simplify (+ im 0) into im
5.466 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.466 * [backup-simplify]: Simplify (+ 0 1) into 1
5.466 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.466 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.466 * [taylor]: Taking taylor expansion of 2.0 in re
5.466 * [backup-simplify]: Simplify 2.0 into 2.0
5.467 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.467 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im))
5.467 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
5.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.468 * [taylor]: Taking taylor expansion of 2.0 in im
5.468 * [backup-simplify]: Simplify 2.0 into 2.0
5.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.469 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.469 * [taylor]: Taking taylor expansion of im in im
5.469 * [backup-simplify]: Simplify 0 into 0
5.469 * [backup-simplify]: Simplify 1 into 1
5.470 * [backup-simplify]: Simplify (sqrt 0) into 0
5.471 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.472 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.472 * [backup-simplify]: Simplify 0 into 0
5.472 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
5.472 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
5.472 * [taylor]: Taking taylor expansion of 1/2 in im
5.472 * [backup-simplify]: Simplify 1/2 into 1/2
5.472 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
5.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.473 * [taylor]: Taking taylor expansion of 2.0 in im
5.473 * [backup-simplify]: Simplify 2.0 into 2.0
5.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
5.474 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.474 * [taylor]: Taking taylor expansion of im in im
5.474 * [backup-simplify]: Simplify 0 into 0
5.474 * [backup-simplify]: Simplify 1 into 1
5.474 * [backup-simplify]: Simplify (/ 1 1) into 1
5.475 * [backup-simplify]: Simplify (sqrt 0) into 0
5.476 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.478 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.479 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.483 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.484 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.486 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.491 * [backup-simplify]: Simplify (+ 1 0) into 1
5.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.492 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
5.493 * [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))))
5.494 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))
5.494 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
5.494 * [taylor]: Taking taylor expansion of 1/8 in im
5.494 * [backup-simplify]: Simplify 1/8 into 1/8
5.494 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
5.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.494 * [taylor]: Taking taylor expansion of 2.0 in im
5.494 * [backup-simplify]: Simplify 2.0 into 2.0
5.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.495 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.495 * [taylor]: Taking taylor expansion of im in im
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify 1 into 1
5.495 * [backup-simplify]: Simplify (* 1 1) into 1
5.496 * [backup-simplify]: Simplify (* 1 1) into 1
5.496 * [backup-simplify]: Simplify (/ 1 1) into 1
5.497 * [backup-simplify]: Simplify (sqrt 0) into 0
5.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.503 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.505 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.506 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.507 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.510 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.510 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.513 * [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)))))))
5.515 * [backup-simplify]: Simplify (* (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
5.515 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
5.515 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
5.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.515 * [taylor]: Taking taylor expansion of 2.0 in im
5.515 * [backup-simplify]: Simplify 2.0 into 2.0
5.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
5.516 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
5.516 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.516 * [taylor]: Taking taylor expansion of re in im
5.516 * [backup-simplify]: Simplify re into re
5.516 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.516 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.517 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.517 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.517 * [taylor]: Taking taylor expansion of re in im
5.517 * [backup-simplify]: Simplify re into re
5.517 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.517 * [taylor]: Taking taylor expansion of re in im
5.517 * [backup-simplify]: Simplify re into re
5.517 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.517 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.517 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.517 * [taylor]: Taking taylor expansion of im in im
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (/ 1 1) into 1
5.517 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.517 * [taylor]: Taking taylor expansion of im in im
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (/ 1 1) into 1
5.518 * [backup-simplify]: Simplify (* 1 1) into 1
5.518 * [backup-simplify]: Simplify (+ 0 1) into 1
5.518 * [backup-simplify]: Simplify (sqrt 1) into 1
5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.520 * [backup-simplify]: Simplify (+ 0 0) into 0
5.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 1) into 1
5.523 * [backup-simplify]: Simplify (sqrt 0) into 0
5.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.524 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
5.524 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.524 * [taylor]: Taking taylor expansion of 2.0 in re
5.524 * [backup-simplify]: Simplify 2.0 into 2.0
5.524 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.525 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
5.525 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
5.525 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1
5.525 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.525 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.526 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.526 * [taylor]: Taking taylor expansion of re in re
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify 1 into 1
5.526 * [backup-simplify]: Simplify (/ 1 1) into 1
5.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.526 * [taylor]: Taking taylor expansion of re in re
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify 1 into 1
5.526 * [backup-simplify]: Simplify (/ 1 1) into 1
5.526 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.526 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.526 * [taylor]: Taking taylor expansion of im in re
5.526 * [backup-simplify]: Simplify im into im
5.526 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.526 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.526 * [taylor]: Taking taylor expansion of im in re
5.526 * [backup-simplify]: Simplify im into im
5.526 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.527 * [backup-simplify]: Simplify (* 1 1) into 1
5.527 * [backup-simplify]: Simplify (+ 1 0) into 1
5.527 * [backup-simplify]: Simplify (sqrt 1) into 1
5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.529 * [backup-simplify]: Simplify (+ 0 0) into 0
5.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.529 * [backup-simplify]: Simplify (+ 1 1) into 2
5.530 * [backup-simplify]: Simplify (sqrt 0) into 0
5.530 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.530 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
5.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.530 * [taylor]: Taking taylor expansion of 2.0 in re
5.530 * [backup-simplify]: Simplify 2.0 into 2.0
5.531 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
5.531 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
5.531 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.531 * [taylor]: Taking taylor expansion of re in re
5.531 * [backup-simplify]: Simplify 0 into 0
5.531 * [backup-simplify]: Simplify 1 into 1
5.531 * [backup-simplify]: Simplify (/ 1 1) into 1
5.531 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.532 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.532 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.532 * [taylor]: Taking taylor expansion of re in re
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 1 into 1
5.532 * [backup-simplify]: Simplify (/ 1 1) into 1
5.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.532 * [taylor]: Taking taylor expansion of re in re
5.532 * [backup-simplify]: Simplify 0 into 0
5.532 * [backup-simplify]: Simplify 1 into 1
5.532 * [backup-simplify]: Simplify (/ 1 1) into 1
5.532 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.532 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.532 * [taylor]: Taking taylor expansion of im in re
5.532 * [backup-simplify]: Simplify im into im
5.532 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.532 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.532 * [taylor]: Taking taylor expansion of im in re
5.532 * [backup-simplify]: Simplify im into im
5.532 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.533 * [backup-simplify]: Simplify (* 1 1) into 1
5.533 * [backup-simplify]: Simplify (+ 1 0) into 1
5.533 * [backup-simplify]: Simplify (sqrt 1) into 1
5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.535 * [backup-simplify]: Simplify (+ 0 0) into 0
5.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.536 * [backup-simplify]: Simplify (+ 1 1) into 2
5.536 * [backup-simplify]: Simplify (sqrt 0) into 0
5.537 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
5.538 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.538 * [taylor]: Taking taylor expansion of 0 in im
5.538 * [backup-simplify]: Simplify 0 into 0
5.539 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.540 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.540 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.540 * [taylor]: Taking taylor expansion of +nan.0 in im
5.540 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.540 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.540 * [taylor]: Taking taylor expansion of 2.0 in im
5.540 * [backup-simplify]: Simplify 2.0 into 2.0
5.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.542 * [backup-simplify]: Simplify (+ 0 0) into 0
5.544 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.548 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.548 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.548 * [taylor]: Taking taylor expansion of +nan.0 in im
5.548 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.548 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.548 * [taylor]: Taking taylor expansion of 2.0 in im
5.548 * [backup-simplify]: Simplify 2.0 into 2.0
5.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.550 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.551 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.552 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.552 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.554 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.554 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.555 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.555 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.556 * [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))
5.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.558 * [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))))))
5.558 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
5.558 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
5.558 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.558 * [taylor]: Taking taylor expansion of +nan.0 in im
5.558 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.558 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.558 * [taylor]: Taking taylor expansion of 2.0 in im
5.558 * [backup-simplify]: Simplify 2.0 into 2.0
5.558 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.559 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.559 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.559 * [taylor]: Taking taylor expansion of +nan.0 in im
5.559 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.559 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.559 * [taylor]: Taking taylor expansion of 2.0 in im
5.559 * [backup-simplify]: Simplify 2.0 into 2.0
5.559 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.560 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.560 * [taylor]: Taking taylor expansion of im in im
5.560 * [backup-simplify]: Simplify 0 into 0
5.560 * [backup-simplify]: Simplify 1 into 1
5.560 * [backup-simplify]: Simplify (* 1 1) into 1
5.561 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.562 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.562 * [backup-simplify]: Simplify (- 0) into 0
5.563 * [backup-simplify]: Simplify (+ 0 0) into 0
5.563 * [backup-simplify]: Simplify (- 0) into 0
5.563 * [backup-simplify]: Simplify 0 into 0
5.563 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.564 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.565 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.566 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.566 * [backup-simplify]: Simplify (- 0) into 0
5.566 * [backup-simplify]: Simplify 0 into 0
5.566 * [backup-simplify]: Simplify 0 into 0
5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.569 * [backup-simplify]: Simplify (+ 0 0) into 0
5.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.569 * [backup-simplify]: Simplify (+ 0 0) into 0
5.570 * [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)))
5.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.573 * [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))))))
5.573 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
5.573 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
5.573 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.573 * [taylor]: Taking taylor expansion of +nan.0 in im
5.573 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.573 * [taylor]: Taking taylor expansion of 2.0 in im
5.573 * [backup-simplify]: Simplify 2.0 into 2.0
5.573 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.573 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.573 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.573 * [taylor]: Taking taylor expansion of +nan.0 in im
5.574 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.574 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.574 * [taylor]: Taking taylor expansion of 2.0 in im
5.574 * [backup-simplify]: Simplify 2.0 into 2.0
5.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.574 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.574 * [taylor]: Taking taylor expansion of im in im
5.574 * [backup-simplify]: Simplify 0 into 0
5.574 * [backup-simplify]: Simplify 1 into 1
5.575 * [backup-simplify]: Simplify (* 1 1) into 1
5.575 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.577 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.577 * [backup-simplify]: Simplify (- 0) into 0
5.577 * [backup-simplify]: Simplify (+ 0 0) into 0
5.577 * [backup-simplify]: Simplify (- 0) into 0
5.577 * [backup-simplify]: Simplify 0 into 0
5.578 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.579 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.581 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.582 * [backup-simplify]: Simplify (- 0) into 0
5.584 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
5.586 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
5.588 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.593 * [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))))))))
5.595 * [backup-simplify]: Simplify (* (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0))
5.595 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0
5.595 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im
5.595 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
5.595 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.595 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.595 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.595 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.595 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.595 * [taylor]: Taking taylor expansion of -1 in im
5.595 * [backup-simplify]: Simplify -1 into -1
5.595 * [taylor]: Taking taylor expansion of re in im
5.595 * [backup-simplify]: Simplify re into re
5.596 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.596 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.596 * [taylor]: Taking taylor expansion of -1 in im
5.596 * [backup-simplify]: Simplify -1 into -1
5.596 * [taylor]: Taking taylor expansion of re in im
5.596 * [backup-simplify]: Simplify re into re
5.596 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.596 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.596 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.596 * [taylor]: Taking taylor expansion of -1 in im
5.596 * [backup-simplify]: Simplify -1 into -1
5.596 * [taylor]: Taking taylor expansion of im in im
5.596 * [backup-simplify]: Simplify 0 into 0
5.596 * [backup-simplify]: Simplify 1 into 1
5.596 * [backup-simplify]: Simplify (/ -1 1) into -1
5.596 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.596 * [taylor]: Taking taylor expansion of -1 in im
5.597 * [backup-simplify]: Simplify -1 into -1
5.597 * [taylor]: Taking taylor expansion of im in im
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.597 * [backup-simplify]: Simplify (/ -1 1) into -1
5.597 * [backup-simplify]: Simplify (* -1 -1) into 1
5.598 * [backup-simplify]: Simplify (+ 0 1) into 1
5.598 * [backup-simplify]: Simplify (sqrt 1) into 1
5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.601 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.601 * [backup-simplify]: Simplify (+ 0 0) into 0
5.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.602 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.602 * [taylor]: Taking taylor expansion of re in im
5.602 * [backup-simplify]: Simplify re into re
5.602 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.602 * [backup-simplify]: Simplify (+ 1 0) into 1
5.603 * [backup-simplify]: Simplify (sqrt 0) into 0
5.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.604 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.604 * [taylor]: Taking taylor expansion of 2.0 in im
5.605 * [backup-simplify]: Simplify 2.0 into 2.0
5.605 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.606 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re
5.606 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.606 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.606 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.606 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.606 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.606 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.606 * [taylor]: Taking taylor expansion of -1 in re
5.606 * [backup-simplify]: Simplify -1 into -1
5.606 * [taylor]: Taking taylor expansion of re in re
5.606 * [backup-simplify]: Simplify 0 into 0
5.606 * [backup-simplify]: Simplify 1 into 1
5.607 * [backup-simplify]: Simplify (/ -1 1) into -1
5.607 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.607 * [taylor]: Taking taylor expansion of -1 in re
5.607 * [backup-simplify]: Simplify -1 into -1
5.607 * [taylor]: Taking taylor expansion of re in re
5.607 * [backup-simplify]: Simplify 0 into 0
5.607 * [backup-simplify]: Simplify 1 into 1
5.607 * [backup-simplify]: Simplify (/ -1 1) into -1
5.607 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.607 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.607 * [taylor]: Taking taylor expansion of -1 in re
5.607 * [backup-simplify]: Simplify -1 into -1
5.607 * [taylor]: Taking taylor expansion of im in re
5.607 * [backup-simplify]: Simplify im into im
5.608 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.608 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.608 * [taylor]: Taking taylor expansion of -1 in re
5.608 * [backup-simplify]: Simplify -1 into -1
5.608 * [taylor]: Taking taylor expansion of im in re
5.608 * [backup-simplify]: Simplify im into im
5.608 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.608 * [backup-simplify]: Simplify (* -1 -1) into 1
5.609 * [backup-simplify]: Simplify (+ 1 0) into 1
5.609 * [backup-simplify]: Simplify (sqrt 1) into 1
5.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.612 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.612 * [backup-simplify]: Simplify (+ 0 0) into 0
5.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.613 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.613 * [taylor]: Taking taylor expansion of re in re
5.613 * [backup-simplify]: Simplify 0 into 0
5.613 * [backup-simplify]: Simplify 1 into 1
5.613 * [backup-simplify]: Simplify (/ 1 1) into 1
5.614 * [backup-simplify]: Simplify (- 1) into -1
5.614 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.615 * [backup-simplify]: Simplify (- 0) into 0
5.616 * [backup-simplify]: Simplify (+ 0 0) into 0
5.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.619 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.619 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.619 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.622 * [backup-simplify]: Simplify (- 0) into 0
5.622 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.623 * [backup-simplify]: Simplify (sqrt 0) into 0
5.623 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.623 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.624 * [taylor]: Taking taylor expansion of 2.0 in re
5.624 * [backup-simplify]: Simplify 2.0 into 2.0
5.624 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.625 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re
5.625 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
5.625 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.625 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.625 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.625 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.625 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.625 * [taylor]: Taking taylor expansion of -1 in re
5.625 * [backup-simplify]: Simplify -1 into -1
5.625 * [taylor]: Taking taylor expansion of re in re
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify (/ -1 1) into -1
5.626 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.626 * [taylor]: Taking taylor expansion of -1 in re
5.626 * [backup-simplify]: Simplify -1 into -1
5.626 * [taylor]: Taking taylor expansion of re in re
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify (/ -1 1) into -1
5.626 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.626 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.626 * [taylor]: Taking taylor expansion of -1 in re
5.626 * [backup-simplify]: Simplify -1 into -1
5.626 * [taylor]: Taking taylor expansion of im in re
5.626 * [backup-simplify]: Simplify im into im
5.627 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.627 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.627 * [taylor]: Taking taylor expansion of -1 in re
5.627 * [backup-simplify]: Simplify -1 into -1
5.627 * [taylor]: Taking taylor expansion of im in re
5.627 * [backup-simplify]: Simplify im into im
5.627 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.627 * [backup-simplify]: Simplify (* -1 -1) into 1
5.627 * [backup-simplify]: Simplify (+ 1 0) into 1
5.628 * [backup-simplify]: Simplify (sqrt 1) into 1
5.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.629 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.629 * [backup-simplify]: Simplify (+ 0 0) into 0
5.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.630 * [taylor]: Taking taylor expansion of re in re
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.630 * [backup-simplify]: Simplify (/ 1 1) into 1
5.630 * [backup-simplify]: Simplify (- 1) into -1
5.630 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.631 * [backup-simplify]: Simplify (- 0) into 0
5.631 * [backup-simplify]: Simplify (+ 0 0) into 0
5.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.633 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.633 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.633 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.634 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.635 * [backup-simplify]: Simplify (- 0) into 0
5.635 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.637 * [backup-simplify]: Simplify (sqrt 0) into 0
5.638 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
5.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.638 * [taylor]: Taking taylor expansion of 2.0 in re
5.638 * [backup-simplify]: Simplify 2.0 into 2.0
5.638 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.639 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
5.639 * [taylor]: Taking taylor expansion of 0 in im
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
5.639 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
5.639 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.639 * [taylor]: Taking taylor expansion of +nan.0 in im
5.640 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.640 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.640 * [taylor]: Taking taylor expansion of 2.0 in im
5.640 * [backup-simplify]: Simplify 2.0 into 2.0
5.640 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.640 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.640 * [taylor]: Taking taylor expansion of im in im
5.640 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify 1 into 1
5.641 * [backup-simplify]: Simplify (* 1 1) into 1
5.641 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.643 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.643 * [backup-simplify]: Simplify (- 0) into 0
5.643 * [backup-simplify]: Simplify 0 into 0
5.643 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.645 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.645 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.646 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.646 * [backup-simplify]: Simplify (+ 0 0) into 0
5.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (- 0) into 0
5.647 * [backup-simplify]: Simplify (+ 0 0) into 0
5.648 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
5.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4))))
5.649 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
5.649 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.649 * [taylor]: Taking taylor expansion of +nan.0 in im
5.649 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.649 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.649 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.649 * [taylor]: Taking taylor expansion of 2.0 in im
5.649 * [backup-simplify]: Simplify 2.0 into 2.0
5.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.650 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.650 * [taylor]: Taking taylor expansion of im in im
5.650 * [backup-simplify]: Simplify 0 into 0
5.650 * [backup-simplify]: Simplify 1 into 1
5.650 * [backup-simplify]: Simplify (* 1 1) into 1
5.650 * [backup-simplify]: Simplify (* 1 1) into 1
5.651 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.651 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.658 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.658 * [backup-simplify]: Simplify (- 0) into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.660 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.661 * [backup-simplify]: Simplify (- 0) into 0
5.661 * [backup-simplify]: Simplify 0 into 0
5.661 * [backup-simplify]: Simplify 0 into 0
5.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.664 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.664 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.664 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.664 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
5.665 * [backup-simplify]: Simplify (+ 0 0) into 0
5.666 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
5.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.667 * [backup-simplify]: Simplify (- 0) into 0
5.668 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
5.668 * [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)))))
5.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))))
5.669 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
5.669 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
5.669 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
5.669 * [taylor]: Taking taylor expansion of +nan.0 in im
5.669 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.669 * [taylor]: Taking taylor expansion of 2.0 in im
5.669 * [backup-simplify]: Simplify 2.0 into 2.0
5.670 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.670 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.670 * [taylor]: Taking taylor expansion of im in im
5.670 * [backup-simplify]: Simplify 0 into 0
5.670 * [backup-simplify]: Simplify 1 into 1
5.671 * [backup-simplify]: Simplify (* 1 1) into 1
5.671 * [backup-simplify]: Simplify (* 1 1) into 1
5.671 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
5.672 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
5.672 * [taylor]: Taking taylor expansion of +nan.0 in im
5.672 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.672 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
5.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.672 * [taylor]: Taking taylor expansion of 2.0 in im
5.672 * [backup-simplify]: Simplify 2.0 into 2.0
5.672 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.672 * [taylor]: Taking taylor expansion of (pow im 6) in im
5.672 * [taylor]: Taking taylor expansion of im in im
5.672 * [backup-simplify]: Simplify 0 into 0
5.672 * [backup-simplify]: Simplify 1 into 1
5.673 * [backup-simplify]: Simplify (* 1 1) into 1
5.673 * [backup-simplify]: Simplify (* 1 1) into 1
5.673 * [backup-simplify]: Simplify (* 1 1) into 1
5.674 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.681 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.681 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
5.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.697 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
5.697 * [backup-simplify]: Simplify (- 0) into 0
5.697 * [backup-simplify]: Simplify (+ 0 0) into 0
5.697 * [backup-simplify]: Simplify (- 0) into 0
5.697 * [backup-simplify]: Simplify 0 into 0
5.697 * [backup-simplify]: Simplify 0 into 0
5.697 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
5.698 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) into (sqrt (* (+ (hypot re im) re) (sqrt 2.0)))
5.698 * [approximate]: Taking taylor expansion of (sqrt (* (+ (hypot re im) re) (sqrt 2.0))) in (re im) around 0
5.698 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot re im) re) (sqrt 2.0))) in im
5.698 * [taylor]: Taking taylor expansion of (* (+ (hypot re im) re) (sqrt 2.0)) in im
5.698 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
5.698 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.698 * [taylor]: Taking taylor expansion of (* re re) in im
5.698 * [taylor]: Taking taylor expansion of re in im
5.698 * [backup-simplify]: Simplify re into re
5.698 * [taylor]: Taking taylor expansion of re in im
5.698 * [backup-simplify]: Simplify re into re
5.698 * [taylor]: Taking taylor expansion of (* im im) in im
5.698 * [taylor]: Taking taylor expansion of im in im
5.699 * [backup-simplify]: Simplify 0 into 0
5.699 * [backup-simplify]: Simplify 1 into 1
5.699 * [taylor]: Taking taylor expansion of im in im
5.699 * [backup-simplify]: Simplify 0 into 0
5.699 * [backup-simplify]: Simplify 1 into 1
5.699 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.699 * [backup-simplify]: Simplify (* 0 0) into 0
5.699 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.699 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.700 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.700 * [backup-simplify]: Simplify (+ 0 0) into 0
5.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.700 * [taylor]: Taking taylor expansion of re in im
5.700 * [backup-simplify]: Simplify re into re
5.700 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.700 * [taylor]: Taking taylor expansion of 2.0 in im
5.700 * [backup-simplify]: Simplify 2.0 into 2.0
5.700 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.701 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.701 * [backup-simplify]: Simplify (* (* 2 re) (sqrt 2.0)) into (* 2 (* (sqrt 2.0) re))
5.701 * [backup-simplify]: Simplify (sqrt (* 2 (* (sqrt 2.0) re))) into (* (sqrt (* (sqrt 2.0) re)) (sqrt 2))
5.702 * [backup-simplify]: Simplify (+ 0 0) into 0
5.702 * [backup-simplify]: Simplify (+ (* (* 2 re) 0) (* 0 (sqrt 2.0))) into 0
5.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (* (sqrt 2.0) re))))) into 0
5.702 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot re im) re) (sqrt 2.0))) in re
5.702 * [taylor]: Taking taylor expansion of (* (+ (hypot re im) re) (sqrt 2.0)) in re
5.702 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
5.702 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.703 * [taylor]: Taking taylor expansion of (* re re) in re
5.703 * [taylor]: Taking taylor expansion of re in re
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 1 into 1
5.703 * [taylor]: Taking taylor expansion of re in re
5.703 * [backup-simplify]: Simplify 0 into 0
5.703 * [backup-simplify]: Simplify 1 into 1
5.703 * [taylor]: Taking taylor expansion of (* im im) in re
5.703 * [taylor]: Taking taylor expansion of im in re
5.703 * [backup-simplify]: Simplify im into im
5.703 * [taylor]: Taking taylor expansion of im in re
5.703 * [backup-simplify]: Simplify im into im
5.703 * [backup-simplify]: Simplify (* 0 0) into 0
5.703 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.703 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.703 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.704 * [backup-simplify]: Simplify (+ 0 0) into 0
5.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.704 * [taylor]: Taking taylor expansion of re in re
5.704 * [backup-simplify]: Simplify 0 into 0
5.704 * [backup-simplify]: Simplify 1 into 1
5.704 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.704 * [taylor]: Taking taylor expansion of 2.0 in re
5.704 * [backup-simplify]: Simplify 2.0 into 2.0
5.704 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.705 * [backup-simplify]: Simplify (+ im 0) into im
5.705 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im)
5.705 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im))
5.706 * [backup-simplify]: Simplify (+ 0 1) into 1
5.706 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0)
5.707 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im)))
5.707 * [taylor]: Taking taylor expansion of (sqrt (* (+ (hypot re im) re) (sqrt 2.0))) in re
5.707 * [taylor]: Taking taylor expansion of (* (+ (hypot re im) re) (sqrt 2.0)) in re
5.707 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
5.707 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.707 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.707 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.707 * [taylor]: Taking taylor expansion of (* re re) in re
5.707 * [taylor]: Taking taylor expansion of re in re
5.707 * [backup-simplify]: Simplify 0 into 0
5.707 * [backup-simplify]: Simplify 1 into 1
5.707 * [taylor]: Taking taylor expansion of re in re
5.707 * [backup-simplify]: Simplify 0 into 0
5.707 * [backup-simplify]: Simplify 1 into 1
5.707 * [taylor]: Taking taylor expansion of (* im im) in re
5.707 * [taylor]: Taking taylor expansion of im in re
5.707 * [backup-simplify]: Simplify im into im
5.707 * [taylor]: Taking taylor expansion of im in re
5.707 * [backup-simplify]: Simplify im into im
5.708 * [backup-simplify]: Simplify (* 0 0) into 0
5.708 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.708 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.708 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.709 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.709 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.709 * [backup-simplify]: Simplify (+ 0 0) into 0
5.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.709 * [taylor]: Taking taylor expansion of re in re
5.709 * [backup-simplify]: Simplify 0 into 0
5.709 * [backup-simplify]: Simplify 1 into 1
5.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.709 * [taylor]: Taking taylor expansion of 2.0 in re
5.709 * [backup-simplify]: Simplify 2.0 into 2.0
5.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.711 * [backup-simplify]: Simplify (+ im 0) into im
5.711 * [backup-simplify]: Simplify (* im (sqrt 2.0)) into (* (sqrt 2.0) im)
5.711 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im))
5.712 * [backup-simplify]: Simplify (+ 0 1) into 1
5.713 * [backup-simplify]: Simplify (+ (* im 0) (* 1 (sqrt 2.0))) into (sqrt 2.0)
5.714 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im)))
5.714 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im
5.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
5.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.714 * [taylor]: Taking taylor expansion of 2.0 in im
5.714 * [backup-simplify]: Simplify 2.0 into 2.0
5.714 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.715 * [taylor]: Taking taylor expansion of im in im
5.715 * [backup-simplify]: Simplify 0 into 0
5.715 * [backup-simplify]: Simplify 1 into 1
5.716 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.718 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
5.718 * [backup-simplify]: Simplify (sqrt 0) into 0
5.720 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.720 * [backup-simplify]: Simplify 0 into 0
5.720 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im
5.720 * [taylor]: Taking taylor expansion of 1/2 in im
5.720 * [backup-simplify]: Simplify 1/2 into 1/2
5.720 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im
5.720 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
5.721 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.721 * [taylor]: Taking taylor expansion of 2.0 in im
5.721 * [backup-simplify]: Simplify 2.0 into 2.0
5.721 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.722 * [taylor]: Taking taylor expansion of im in im
5.722 * [backup-simplify]: Simplify 0 into 0
5.722 * [backup-simplify]: Simplify 1 into 1
5.723 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.723 * [backup-simplify]: Simplify (sqrt 0) into 0
5.725 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.728 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (sqrt 2.0))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.729 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.729 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.731 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.731 * [backup-simplify]: Simplify (+ 1 0) into 1
5.733 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.733 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
5.734 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 1 0) (* (* 1/2 (/ 1 im)) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) im))
5.735 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) im)) (pow (* 1/2 (sqrt (/ (sqrt 2.0) im))) 2) (+)) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3))))
5.735 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im
5.735 * [taylor]: Taking taylor expansion of 1/8 in im
5.735 * [backup-simplify]: Simplify 1/8 into 1/8
5.735 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im
5.735 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im
5.735 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.736 * [taylor]: Taking taylor expansion of 2.0 in im
5.736 * [backup-simplify]: Simplify 2.0 into 2.0
5.736 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.736 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.736 * [taylor]: Taking taylor expansion of im in im
5.736 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify 1 into 1
5.737 * [backup-simplify]: Simplify (* 1 1) into 1
5.737 * [backup-simplify]: Simplify (* 1 1) into 1
5.737 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.738 * [backup-simplify]: Simplify (sqrt 0) into 0
5.739 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.743 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2))
5.746 * [backup-simplify]: Simplify (+ (* 1/8 (* +nan.0 (pow (sqrt 2.0) 2))) (+ (* 0 (* +nan.0 (sqrt 2.0))) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
5.748 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
5.751 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 2))) (pow (* 1 re) 2)) (+ (* (* +nan.0 (sqrt 2.0)) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
5.752 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (sqrt 2.0))) into (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))
5.752 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
5.752 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
5.752 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
5.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.752 * [taylor]: Taking taylor expansion of 2.0 in im
5.752 * [backup-simplify]: Simplify 2.0 into 2.0
5.752 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.753 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
5.753 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.753 * [taylor]: Taking taylor expansion of re in im
5.753 * [backup-simplify]: Simplify re into re
5.753 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.753 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.753 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.753 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.753 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.753 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.753 * [taylor]: Taking taylor expansion of re in im
5.753 * [backup-simplify]: Simplify re into re
5.753 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.753 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.753 * [taylor]: Taking taylor expansion of re in im
5.753 * [backup-simplify]: Simplify re into re
5.753 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.753 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.753 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.753 * [taylor]: Taking taylor expansion of im in im
5.753 * [backup-simplify]: Simplify 0 into 0
5.753 * [backup-simplify]: Simplify 1 into 1
5.754 * [backup-simplify]: Simplify (/ 1 1) into 1
5.754 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.754 * [taylor]: Taking taylor expansion of im in im
5.754 * [backup-simplify]: Simplify 0 into 0
5.754 * [backup-simplify]: Simplify 1 into 1
5.754 * [backup-simplify]: Simplify (/ 1 1) into 1
5.754 * [backup-simplify]: Simplify (* 1 1) into 1
5.754 * [backup-simplify]: Simplify (+ 0 1) into 1
5.755 * [backup-simplify]: Simplify (sqrt 1) into 1
5.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.757 * [backup-simplify]: Simplify (+ 0 0) into 0
5.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.758 * [backup-simplify]: Simplify (+ 0 1) into 1
5.759 * [backup-simplify]: Simplify (* (sqrt 2.0) 1) into (sqrt 2.0)
5.760 * [backup-simplify]: Simplify (sqrt 0) into 0
5.762 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.762 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
5.762 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
5.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.762 * [taylor]: Taking taylor expansion of 2.0 in re
5.762 * [backup-simplify]: Simplify 2.0 into 2.0
5.762 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
5.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.763 * [taylor]: Taking taylor expansion of re in re
5.763 * [backup-simplify]: Simplify 0 into 0
5.763 * [backup-simplify]: Simplify 1 into 1
5.764 * [backup-simplify]: Simplify (/ 1 1) into 1
5.764 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.764 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.764 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.764 * [taylor]: Taking taylor expansion of re in re
5.764 * [backup-simplify]: Simplify 0 into 0
5.764 * [backup-simplify]: Simplify 1 into 1
5.764 * [backup-simplify]: Simplify (/ 1 1) into 1
5.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.764 * [taylor]: Taking taylor expansion of re in re
5.764 * [backup-simplify]: Simplify 0 into 0
5.764 * [backup-simplify]: Simplify 1 into 1
5.765 * [backup-simplify]: Simplify (/ 1 1) into 1
5.765 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.765 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.765 * [taylor]: Taking taylor expansion of im in re
5.765 * [backup-simplify]: Simplify im into im
5.765 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.765 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.765 * [taylor]: Taking taylor expansion of im in re
5.765 * [backup-simplify]: Simplify im into im
5.765 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.766 * [backup-simplify]: Simplify (* 1 1) into 1
5.766 * [backup-simplify]: Simplify (+ 1 0) into 1
5.766 * [backup-simplify]: Simplify (sqrt 1) into 1
5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.769 * [backup-simplify]: Simplify (+ 0 0) into 0
5.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.770 * [backup-simplify]: Simplify (+ 1 1) into 2
5.772 * [backup-simplify]: Simplify (* (sqrt 2.0) 2) into (* 2 (sqrt 2.0))
5.772 * [backup-simplify]: Simplify (sqrt 0) into 0
5.775 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.775 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
5.775 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
5.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.775 * [taylor]: Taking taylor expansion of 2.0 in re
5.775 * [backup-simplify]: Simplify 2.0 into 2.0
5.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.776 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
5.776 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.776 * [taylor]: Taking taylor expansion of re in re
5.776 * [backup-simplify]: Simplify 0 into 0
5.776 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (/ 1 1) into 1
5.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.777 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.777 * [taylor]: Taking taylor expansion of re in re
5.777 * [backup-simplify]: Simplify 0 into 0
5.777 * [backup-simplify]: Simplify 1 into 1
5.777 * [backup-simplify]: Simplify (/ 1 1) into 1
5.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.777 * [taylor]: Taking taylor expansion of re in re
5.777 * [backup-simplify]: Simplify 0 into 0
5.777 * [backup-simplify]: Simplify 1 into 1
5.778 * [backup-simplify]: Simplify (/ 1 1) into 1
5.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.778 * [taylor]: Taking taylor expansion of im in re
5.778 * [backup-simplify]: Simplify im into im
5.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.778 * [taylor]: Taking taylor expansion of im in re
5.778 * [backup-simplify]: Simplify im into im
5.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.779 * [backup-simplify]: Simplify (* 1 1) into 1
5.779 * [backup-simplify]: Simplify (+ 1 0) into 1
5.779 * [backup-simplify]: Simplify (sqrt 1) into 1
5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.782 * [backup-simplify]: Simplify (+ 0 0) into 0
5.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.783 * [backup-simplify]: Simplify (+ 1 1) into 2
5.784 * [backup-simplify]: Simplify (* (sqrt 2.0) 2) into (* 2 (sqrt 2.0))
5.784 * [backup-simplify]: Simplify (sqrt 0) into 0
5.787 * [backup-simplify]: Simplify (/ (* 2 (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.787 * [taylor]: Taking taylor expansion of 0 in im
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.787 * [taylor]: Taking taylor expansion of +nan.0 in im
5.787 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.787 * [taylor]: Taking taylor expansion of 2.0 in im
5.787 * [backup-simplify]: Simplify 2.0 into 2.0
5.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.788 * [backup-simplify]: Simplify 0 into 0
5.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.790 * [backup-simplify]: Simplify (+ 0 0) into 0
5.791 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 2)) into 0
5.796 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2))
5.796 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im
5.796 * [taylor]: Taking taylor expansion of +nan.0 in im
5.796 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.796 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
5.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.796 * [taylor]: Taking taylor expansion of 2.0 in im
5.796 * [backup-simplify]: Simplify 2.0 into 2.0
5.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.798 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.799 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.799 * [backup-simplify]: Simplify 0 into 0
5.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.803 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.803 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.804 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.804 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
5.805 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1/2 (/ (sqrt 2.0) (pow im 2)))
5.813 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (pow (sqrt 2.0) 2)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))))
5.813 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))) in im
5.813 * [taylor]: Taking taylor expansion of +nan.0 in im
5.813 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.813 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3))) in im
5.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 2.0) (pow im 2))) in im
5.813 * [taylor]: Taking taylor expansion of 1/2 in im
5.813 * [backup-simplify]: Simplify 1/2 into 1/2
5.813 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.813 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.813 * [taylor]: Taking taylor expansion of 2.0 in im
5.813 * [backup-simplify]: Simplify 2.0 into 2.0
5.813 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.814 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.814 * [taylor]: Taking taylor expansion of im in im
5.814 * [backup-simplify]: Simplify 0 into 0
5.814 * [backup-simplify]: Simplify 1 into 1
5.815 * [backup-simplify]: Simplify (* 1 1) into 1
5.815 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.815 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
5.815 * [taylor]: Taking taylor expansion of +nan.0 in im
5.815 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.815 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
5.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.815 * [taylor]: Taking taylor expansion of 2.0 in im
5.816 * [backup-simplify]: Simplify 2.0 into 2.0
5.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 2.0))) into 0
5.819 * [backup-simplify]: Simplify (+ 0 0) into 0
5.820 * [backup-simplify]: Simplify (* 1/2 (sqrt 2.0)) into (* 1/2 (sqrt 2.0))
5.821 * [backup-simplify]: Simplify (+ (* 1/2 (sqrt 2.0)) 0) into (* 1/2 (sqrt 2.0))
5.822 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* 1/2 (sqrt 2.0)))) into 0
5.822 * [backup-simplify]: Simplify 0 into 0
5.823 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
5.825 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
5.826 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
5.827 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.827 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify 0 into 0
5.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.831 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.831 * [backup-simplify]: Simplify (+ 0 0) into 0
5.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.832 * [backup-simplify]: Simplify (+ 0 0) into 0
5.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.835 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0
5.840 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (pow (sqrt 2.0) 2)) 2) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (pow (sqrt 2.0) 3)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))))
5.840 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4))))) in im
5.841 * [taylor]: Taking taylor expansion of +nan.0 in im
5.841 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) (- (* +nan.0 (pow (sqrt 2.0) 4)))) in im
5.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 2))) in im
5.841 * [taylor]: Taking taylor expansion of +nan.0 in im
5.841 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.841 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 2)) in im
5.841 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
5.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.841 * [taylor]: Taking taylor expansion of 2.0 in im
5.841 * [backup-simplify]: Simplify 2.0 into 2.0
5.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.842 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.842 * [taylor]: Taking taylor expansion of im in im
5.842 * [backup-simplify]: Simplify 0 into 0
5.842 * [backup-simplify]: Simplify 1 into 1
5.843 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
5.843 * [backup-simplify]: Simplify (* 1 1) into 1
5.845 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2)
5.845 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 4))) in im
5.845 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 4)) in im
5.845 * [taylor]: Taking taylor expansion of +nan.0 in im
5.845 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.845 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 4) in im
5.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.845 * [taylor]: Taking taylor expansion of 2.0 in im
5.845 * [backup-simplify]: Simplify 2.0 into 2.0
5.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.847 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0
5.849 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 2))) into 0
5.850 * [backup-simplify]: Simplify (+ 0 0) into 0
5.851 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
5.854 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (sqrt 2.0) 2)) 0) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
5.856 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 2))))) into 0
5.856 * [backup-simplify]: Simplify 0 into 0
5.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.864 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
5.866 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
5.867 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
5.868 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
5.870 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
5.874 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) (+ (* 0 0) (* 0 (* 1/2 (sqrt 2.0))))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
5.876 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
5.879 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 3))) (pow (* 1 (/ 1 re)) 2)) (+ (* (* +nan.0 (pow (sqrt 2.0) 2)) (* 1 (/ 1 re))) (* +nan.0 (sqrt 2.0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))))))))
5.880 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (sqrt 2.0))) into (sqrt (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0)))
5.880 * [approximate]: Taking taylor expansion of (sqrt (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0))) in (re im) around 0
5.880 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0))) in im
5.880 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0)) in im
5.880 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
5.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.881 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.881 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.881 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.881 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.881 * [taylor]: Taking taylor expansion of -1 in im
5.881 * [backup-simplify]: Simplify -1 into -1
5.881 * [taylor]: Taking taylor expansion of re in im
5.881 * [backup-simplify]: Simplify re into re
5.881 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.881 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.881 * [taylor]: Taking taylor expansion of -1 in im
5.881 * [backup-simplify]: Simplify -1 into -1
5.881 * [taylor]: Taking taylor expansion of re in im
5.881 * [backup-simplify]: Simplify re into re
5.881 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.881 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.881 * [taylor]: Taking taylor expansion of -1 in im
5.881 * [backup-simplify]: Simplify -1 into -1
5.881 * [taylor]: Taking taylor expansion of im in im
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.881 * [backup-simplify]: Simplify (/ -1 1) into -1
5.881 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.881 * [taylor]: Taking taylor expansion of -1 in im
5.881 * [backup-simplify]: Simplify -1 into -1
5.881 * [taylor]: Taking taylor expansion of im in im
5.881 * [backup-simplify]: Simplify 0 into 0
5.881 * [backup-simplify]: Simplify 1 into 1
5.882 * [backup-simplify]: Simplify (/ -1 1) into -1
5.882 * [backup-simplify]: Simplify (* -1 -1) into 1
5.882 * [backup-simplify]: Simplify (+ 0 1) into 1
5.883 * [backup-simplify]: Simplify (sqrt 1) into 1
5.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.884 * [backup-simplify]: Simplify (+ 0 0) into 0
5.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.885 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.885 * [taylor]: Taking taylor expansion of re in im
5.885 * [backup-simplify]: Simplify re into re
5.885 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.885 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.885 * [taylor]: Taking taylor expansion of 2.0 in im
5.885 * [backup-simplify]: Simplify 2.0 into 2.0
5.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.886 * [backup-simplify]: Simplify (+ 1 0) into 1
5.886 * [backup-simplify]: Simplify (* 1 (sqrt 2.0)) into (sqrt 2.0)
5.887 * [backup-simplify]: Simplify (sqrt 0) into 0
5.888 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
5.888 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0))) in re
5.888 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0)) in re
5.888 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.888 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.888 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.888 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.888 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.888 * [taylor]: Taking taylor expansion of -1 in re
5.888 * [backup-simplify]: Simplify -1 into -1
5.888 * [taylor]: Taking taylor expansion of re in re
5.888 * [backup-simplify]: Simplify 0 into 0
5.888 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (/ -1 1) into -1
5.889 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.889 * [taylor]: Taking taylor expansion of -1 in re
5.889 * [backup-simplify]: Simplify -1 into -1
5.889 * [taylor]: Taking taylor expansion of re in re
5.889 * [backup-simplify]: Simplify 0 into 0
5.889 * [backup-simplify]: Simplify 1 into 1
5.889 * [backup-simplify]: Simplify (/ -1 1) into -1
5.889 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.889 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.889 * [taylor]: Taking taylor expansion of -1 in re
5.889 * [backup-simplify]: Simplify -1 into -1
5.889 * [taylor]: Taking taylor expansion of im in re
5.889 * [backup-simplify]: Simplify im into im
5.889 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.889 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.889 * [taylor]: Taking taylor expansion of -1 in re
5.889 * [backup-simplify]: Simplify -1 into -1
5.889 * [taylor]: Taking taylor expansion of im in re
5.889 * [backup-simplify]: Simplify im into im
5.889 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.889 * [backup-simplify]: Simplify (* -1 -1) into 1
5.890 * [backup-simplify]: Simplify (+ 1 0) into 1
5.890 * [backup-simplify]: Simplify (sqrt 1) into 1
5.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.891 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.892 * [backup-simplify]: Simplify (+ 0 0) into 0
5.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.892 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.892 * [taylor]: Taking taylor expansion of re in re
5.892 * [backup-simplify]: Simplify 0 into 0
5.892 * [backup-simplify]: Simplify 1 into 1
5.892 * [backup-simplify]: Simplify (/ 1 1) into 1
5.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.892 * [taylor]: Taking taylor expansion of 2.0 in re
5.892 * [backup-simplify]: Simplify 2.0 into 2.0
5.893 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.893 * [backup-simplify]: Simplify (- 1) into -1
5.894 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.894 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
5.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.895 * [backup-simplify]: Simplify (- 0) into 0
5.895 * [backup-simplify]: Simplify (+ 0 0) into 0
5.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (sqrt 2.0))) into 0
5.897 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.901 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.901 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.901 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.903 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.904 * [backup-simplify]: Simplify (- 0) into 0
5.904 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) (pow im 2)))
5.906 * [backup-simplify]: Simplify (sqrt 0) into 0
5.907 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2)))
5.907 * [taylor]: Taking taylor expansion of (sqrt (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0))) in re
5.907 * [taylor]: Taking taylor expansion of (* (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) (sqrt 2.0)) in re
5.907 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
5.907 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.908 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.908 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.908 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.908 * [taylor]: Taking taylor expansion of -1 in re
5.908 * [backup-simplify]: Simplify -1 into -1
5.908 * [taylor]: Taking taylor expansion of re in re
5.908 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify 1 into 1
5.908 * [backup-simplify]: Simplify (/ -1 1) into -1
5.908 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.908 * [taylor]: Taking taylor expansion of -1 in re
5.908 * [backup-simplify]: Simplify -1 into -1
5.908 * [taylor]: Taking taylor expansion of re in re
5.908 * [backup-simplify]: Simplify 0 into 0
5.908 * [backup-simplify]: Simplify 1 into 1
5.909 * [backup-simplify]: Simplify (/ -1 1) into -1
5.909 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.909 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.909 * [taylor]: Taking taylor expansion of -1 in re
5.909 * [backup-simplify]: Simplify -1 into -1
5.909 * [taylor]: Taking taylor expansion of im in re
5.909 * [backup-simplify]: Simplify im into im
5.909 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.909 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.909 * [taylor]: Taking taylor expansion of -1 in re
5.909 * [backup-simplify]: Simplify -1 into -1
5.909 * [taylor]: Taking taylor expansion of im in re
5.909 * [backup-simplify]: Simplify im into im
5.909 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.910 * [backup-simplify]: Simplify (* -1 -1) into 1
5.910 * [backup-simplify]: Simplify (+ 1 0) into 1
5.910 * [backup-simplify]: Simplify (sqrt 1) into 1
5.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.913 * [backup-simplify]: Simplify (+ 0 0) into 0
5.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.914 * [taylor]: Taking taylor expansion of re in re
5.914 * [backup-simplify]: Simplify 0 into 0
5.914 * [backup-simplify]: Simplify 1 into 1
5.915 * [backup-simplify]: Simplify (/ 1 1) into 1
5.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.915 * [taylor]: Taking taylor expansion of 2.0 in re
5.915 * [backup-simplify]: Simplify 2.0 into 2.0
5.915 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.916 * [backup-simplify]: Simplify (- 1) into -1
5.917 * [backup-simplify]: Simplify (+ 1 -1) into 0
5.917 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0
5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.918 * [backup-simplify]: Simplify (- 0) into 0
5.919 * [backup-simplify]: Simplify (+ 0 0) into 0
5.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (sqrt 2.0))) into 0
5.921 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.924 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.924 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.927 * [backup-simplify]: Simplify (- 0) into 0
5.927 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
5.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (sqrt 2.0)))) into (* 1/2 (/ (sqrt 2.0) (pow im 2)))
5.929 * [backup-simplify]: Simplify (sqrt 0) into 0
5.930 * [backup-simplify]: Simplify (/ (* 1/2 (/ (sqrt 2.0) (pow im 2))) (* 2 (sqrt 0))) into (* +nan.0 (/ (sqrt 2.0) (pow im 2)))
5.930 * [taylor]: Taking taylor expansion of 0 in im
5.930 * [backup-simplify]: Simplify 0 into 0
5.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
5.930 * [taylor]: Taking taylor expansion of +nan.0 in im
5.930 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.930 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
5.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.930 * [taylor]: Taking taylor expansion of 2.0 in im
5.930 * [backup-simplify]: Simplify 2.0 into 2.0
5.931 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.932 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.932 * [taylor]: Taking taylor expansion of im in im
5.932 * [backup-simplify]: Simplify 0 into 0
5.932 * [backup-simplify]: Simplify 1 into 1
5.932 * [backup-simplify]: Simplify (* 1 1) into 1
5.933 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.936 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.936 * [backup-simplify]: Simplify 0 into 0
5.936 * [backup-simplify]: Simplify 0 into 0
5.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.941 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.941 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.941 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.941 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.941 * [backup-simplify]: Simplify (+ 0 0) into 0
5.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (- 0) into 0
5.944 * [backup-simplify]: Simplify (+ 0 0) into 0
5.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (* 1/2 (/ 1 (pow im 2))) 0) (* 0 (sqrt 2.0))))) into 0
5.947 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (/ (sqrt 2.0) (pow im 2))) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4)))
5.947 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))) in im
5.947 * [taylor]: Taking taylor expansion of +nan.0 in im
5.947 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.947 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 2) (pow im 4)) in im
5.947 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
5.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.947 * [taylor]: Taking taylor expansion of 2.0 in im
5.947 * [backup-simplify]: Simplify 2.0 into 2.0
5.948 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.948 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.948 * [taylor]: Taking taylor expansion of im in im
5.948 * [backup-simplify]: Simplify 0 into 0
5.948 * [backup-simplify]: Simplify 1 into 1
5.950 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
5.950 * [backup-simplify]: Simplify (* 1 1) into 1
5.950 * [backup-simplify]: Simplify (* 1 1) into 1
5.952 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 2) 1) into (pow (sqrt 2.0) 2)
5.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.956 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.961 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
5.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)))) into 0
5.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.965 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.968 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
5.968 * [backup-simplify]: Simplify 0 into 0
5.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.971 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.971 * [backup-simplify]: Simplify 0 into 0
5.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.974 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.974 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.974 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
5.974 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.975 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.976 * [backup-simplify]: Simplify (- 0) into 0
5.976 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
5.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* (* 1/2 (/ 1 (pow im 2))) 0) (+ (* 0 0) (* (- (* 1/8 (/ 1 (pow im 4)))) (sqrt 2.0)))))) into (- (* 1/8 (/ (sqrt 2.0) (pow im 4))))
5.981 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ (sqrt 2.0) (pow im 4)))) (+ (* 2 (* (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow im 4))))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))))
5.981 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))))) in im
5.981 * [taylor]: Taking taylor expansion of +nan.0 in im
5.981 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.981 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))))) in im
5.981 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 2.0) (pow im 4))) in im
5.981 * [taylor]: Taking taylor expansion of 1/8 in im
5.981 * [backup-simplify]: Simplify 1/8 into 1/8
5.981 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
5.981 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.981 * [taylor]: Taking taylor expansion of 2.0 in im
5.981 * [backup-simplify]: Simplify 2.0 into 2.0
5.982 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.982 * [taylor]: Taking taylor expansion of (pow im 4) in im
5.982 * [taylor]: Taking taylor expansion of im in im
5.982 * [backup-simplify]: Simplify 0 into 0
5.982 * [backup-simplify]: Simplify 1 into 1
5.983 * [backup-simplify]: Simplify (* 1 1) into 1
5.983 * [backup-simplify]: Simplify (* 1 1) into 1
5.983 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
5.983 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6)))) in im
5.983 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow im 6))) in im
5.983 * [taylor]: Taking taylor expansion of +nan.0 in im
5.983 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.983 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 2.0) 3) (pow im 6)) in im
5.984 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
5.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.984 * [taylor]: Taking taylor expansion of 2.0 in im
5.984 * [backup-simplify]: Simplify 2.0 into 2.0
5.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.984 * [taylor]: Taking taylor expansion of (pow im 6) in im
5.984 * [taylor]: Taking taylor expansion of im in im
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 1 into 1
5.985 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
5.986 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
5.986 * [backup-simplify]: Simplify (* 1 1) into 1
5.987 * [backup-simplify]: Simplify (* 1 1) into 1
5.987 * [backup-simplify]: Simplify (* 1 1) into 1
5.988 * [backup-simplify]: Simplify (/ (pow (sqrt 2.0) 3) 1) into (pow (sqrt 2.0) 3)
5.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
5.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.995 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
5.996 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.997 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.999 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
5.999 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))))) into 0
6.000 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
6.001 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.001 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2.0))) into 0
6.002 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))))) into 0
6.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
6.014 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (pow (sqrt 2.0) 2))) into 0
6.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)))) into 0
6.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.019 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))) into 0
6.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.024 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2))))) into 0
6.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.027 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 2)))))) into 0
6.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 2.0) 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.032 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))))) into 0
6.033 * [backup-simplify]: Simplify (- 0) into 0
6.033 * [backup-simplify]: Simplify (+ 0 0) into 0
6.034 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
6.036 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))))) into 0
6.036 * [backup-simplify]: Simplify (- 0) into 0
6.037 * [backup-simplify]: Simplify (+ 0 0) into 0
6.038 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (sqrt 2.0))) into 0
6.039 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3))))) into 0
6.040 * [backup-simplify]: Simplify (- 0) into 0
6.040 * [backup-simplify]: Simplify (+ 0 0) into 0
6.041 * [backup-simplify]: Simplify (* 1/8 (sqrt 2.0)) into (* 1/8 (sqrt 2.0))
6.042 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (pow (sqrt 2.0) 3)))) into 0
6.043 * [backup-simplify]: Simplify (- 0) into 0
6.044 * [backup-simplify]: Simplify (+ (* 1/8 (sqrt 2.0)) 0) into (* 1/8 (sqrt 2.0))
6.046 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (sqrt 2.0) 3))) into 0
6.046 * [backup-simplify]: Simplify (- 0) into 0
6.046 * [backup-simplify]: Simplify (+ 0 0) into 0
6.048 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
6.051 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
6.055 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
6.058 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* 1/8 (sqrt 2.0))) (+ (* 0 0) (* 0 (- (* +nan.0 (pow (sqrt 2.0) 3))))))))) into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * [backup-simplify]: Simplify 0 into 0
6.058 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
6.058 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re)
6.058 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
6.058 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
6.059 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.059 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.059 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.059 * [taylor]: Taking taylor expansion of (* re re) in im
6.059 * [taylor]: Taking taylor expansion of re in im
6.059 * [backup-simplify]: Simplify re into re
6.059 * [taylor]: Taking taylor expansion of re in im
6.059 * [backup-simplify]: Simplify re into re
6.059 * [taylor]: Taking taylor expansion of (* im im) in im
6.059 * [taylor]: Taking taylor expansion of im in im
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.059 * [taylor]: Taking taylor expansion of im in im
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.059 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.060 * [backup-simplify]: Simplify (* 0 0) into 0
6.060 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.060 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.060 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.061 * [backup-simplify]: Simplify (+ 0 0) into 0
6.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.061 * [taylor]: Taking taylor expansion of re in im
6.061 * [backup-simplify]: Simplify re into re
6.061 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
6.061 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.062 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.062 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.062 * [taylor]: Taking taylor expansion of (* re re) in re
6.062 * [taylor]: Taking taylor expansion of re in re
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [taylor]: Taking taylor expansion of re in re
6.062 * [backup-simplify]: Simplify 0 into 0
6.062 * [backup-simplify]: Simplify 1 into 1
6.062 * [taylor]: Taking taylor expansion of (* im im) in re
6.062 * [taylor]: Taking taylor expansion of im in re
6.062 * [backup-simplify]: Simplify im into im
6.062 * [taylor]: Taking taylor expansion of im in re
6.062 * [backup-simplify]: Simplify im into im
6.062 * [backup-simplify]: Simplify (* 0 0) into 0
6.062 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.063 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.063 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.063 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.064 * [backup-simplify]: Simplify (+ 0 0) into 0
6.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.064 * [taylor]: Taking taylor expansion of re in re
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.064 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
6.064 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.064 * [taylor]: Taking taylor expansion of (* re re) in re
6.064 * [taylor]: Taking taylor expansion of re in re
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [taylor]: Taking taylor expansion of re in re
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [taylor]: Taking taylor expansion of (* im im) in re
6.065 * [taylor]: Taking taylor expansion of im in re
6.065 * [backup-simplify]: Simplify im into im
6.065 * [taylor]: Taking taylor expansion of im in re
6.065 * [backup-simplify]: Simplify im into im
6.065 * [backup-simplify]: Simplify (* 0 0) into 0
6.065 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.065 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.065 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.067 * [backup-simplify]: Simplify (+ 0 0) into 0
6.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.067 * [taylor]: Taking taylor expansion of re in re
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify (+ im 0) into im
6.067 * [taylor]: Taking taylor expansion of im in im
6.067 * [backup-simplify]: Simplify 0 into 0
6.067 * [backup-simplify]: Simplify 1 into 1
6.067 * [backup-simplify]: Simplify 0 into 0
6.068 * [backup-simplify]: Simplify (+ 0 1) into 1
6.068 * [taylor]: Taking taylor expansion of 1 in im
6.068 * [backup-simplify]: Simplify 1 into 1
6.068 * [backup-simplify]: Simplify 1 into 1
6.068 * [backup-simplify]: Simplify 1 into 1
6.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.069 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.070 * [backup-simplify]: Simplify (+ 1 0) into 1
6.070 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.071 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
6.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
6.071 * [taylor]: Taking taylor expansion of 1/2 in im
6.071 * [backup-simplify]: Simplify 1/2 into 1/2
6.071 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.071 * [taylor]: Taking taylor expansion of im in im
6.071 * [backup-simplify]: Simplify 0 into 0
6.071 * [backup-simplify]: Simplify 1 into 1
6.071 * [backup-simplify]: Simplify (/ 1 1) into 1
6.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.073 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify 0 into 0
6.073 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.075 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.075 * [backup-simplify]: Simplify (+ 0 0) into 0
6.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.076 * [backup-simplify]: Simplify (+ 0 0) into 0
6.076 * [taylor]: Taking taylor expansion of 0 in im
6.076 * [backup-simplify]: Simplify 0 into 0
6.076 * [backup-simplify]: Simplify 0 into 0
6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify 0 into 0
6.078 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
6.078 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
6.079 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
6.079 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
6.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.079 * [taylor]: Taking taylor expansion of re in im
6.079 * [backup-simplify]: Simplify re into re
6.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.079 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.079 * [taylor]: Taking taylor expansion of re in im
6.079 * [backup-simplify]: Simplify re into re
6.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.079 * [taylor]: Taking taylor expansion of re in im
6.079 * [backup-simplify]: Simplify re into re
6.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.079 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.079 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.079 * [taylor]: Taking taylor expansion of im in im
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 1 into 1
6.080 * [backup-simplify]: Simplify (/ 1 1) into 1
6.080 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.080 * [taylor]: Taking taylor expansion of im in im
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 1 into 1
6.080 * [backup-simplify]: Simplify (/ 1 1) into 1
6.081 * [backup-simplify]: Simplify (* 1 1) into 1
6.081 * [backup-simplify]: Simplify (+ 0 1) into 1
6.081 * [backup-simplify]: Simplify (sqrt 1) into 1
6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.084 * [backup-simplify]: Simplify (+ 0 0) into 0
6.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.085 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
6.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.085 * [taylor]: Taking taylor expansion of re in re
6.085 * [backup-simplify]: Simplify 0 into 0
6.085 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (/ 1 1) into 1
6.086 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.086 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.086 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.086 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.086 * [taylor]: Taking taylor expansion of re in re
6.086 * [backup-simplify]: Simplify 0 into 0
6.086 * [backup-simplify]: Simplify 1 into 1
6.086 * [backup-simplify]: Simplify (/ 1 1) into 1
6.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.086 * [taylor]: Taking taylor expansion of re in re
6.086 * [backup-simplify]: Simplify 0 into 0
6.087 * [backup-simplify]: Simplify 1 into 1
6.087 * [backup-simplify]: Simplify (/ 1 1) into 1
6.087 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.087 * [taylor]: Taking taylor expansion of im in re
6.087 * [backup-simplify]: Simplify im into im
6.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.087 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.087 * [taylor]: Taking taylor expansion of im in re
6.087 * [backup-simplify]: Simplify im into im
6.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.088 * [backup-simplify]: Simplify (* 1 1) into 1
6.088 * [backup-simplify]: Simplify (+ 1 0) into 1
6.089 * [backup-simplify]: Simplify (sqrt 1) into 1
6.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.092 * [backup-simplify]: Simplify (+ 0 0) into 0
6.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.093 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
6.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.093 * [taylor]: Taking taylor expansion of re in re
6.093 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify 1 into 1
6.094 * [backup-simplify]: Simplify (/ 1 1) into 1
6.094 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.094 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.094 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.094 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.094 * [taylor]: Taking taylor expansion of re in re
6.094 * [backup-simplify]: Simplify 0 into 0
6.094 * [backup-simplify]: Simplify 1 into 1
6.095 * [backup-simplify]: Simplify (/ 1 1) into 1
6.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.095 * [taylor]: Taking taylor expansion of re in re
6.095 * [backup-simplify]: Simplify 0 into 0
6.095 * [backup-simplify]: Simplify 1 into 1
6.095 * [backup-simplify]: Simplify (/ 1 1) into 1
6.095 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.095 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.095 * [taylor]: Taking taylor expansion of im in re
6.095 * [backup-simplify]: Simplify im into im
6.096 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.096 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.096 * [taylor]: Taking taylor expansion of im in re
6.096 * [backup-simplify]: Simplify im into im
6.096 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.096 * [backup-simplify]: Simplify (* 1 1) into 1
6.097 * [backup-simplify]: Simplify (+ 1 0) into 1
6.097 * [backup-simplify]: Simplify (sqrt 1) into 1
6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.100 * [backup-simplify]: Simplify (+ 0 0) into 0
6.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.101 * [backup-simplify]: Simplify (+ 1 1) into 2
6.101 * [taylor]: Taking taylor expansion of 2 in im
6.101 * [backup-simplify]: Simplify 2 into 2
6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.102 * [backup-simplify]: Simplify (+ 0 0) into 0
6.102 * [taylor]: Taking taylor expansion of 0 in im
6.102 * [backup-simplify]: Simplify 0 into 0
6.102 * [backup-simplify]: Simplify 2 into 2
6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.106 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.106 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.108 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.108 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
6.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.108 * [taylor]: Taking taylor expansion of 1/2 in im
6.108 * [backup-simplify]: Simplify 1/2 into 1/2
6.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.108 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.108 * [taylor]: Taking taylor expansion of im in im
6.108 * [backup-simplify]: Simplify 0 into 0
6.108 * [backup-simplify]: Simplify 1 into 1
6.109 * [backup-simplify]: Simplify (* 1 1) into 1
6.109 * [backup-simplify]: Simplify (/ 1 1) into 1
6.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.116 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.118 * [backup-simplify]: Simplify (+ 0 0) into 0
6.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.120 * [backup-simplify]: Simplify (+ 0 0) into 0
6.120 * [taylor]: Taking taylor expansion of 0 in im
6.120 * [backup-simplify]: Simplify 0 into 0
6.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify 0 into 0
6.121 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
6.122 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
6.122 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
6.122 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
6.122 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.122 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.122 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.122 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.122 * [taylor]: Taking taylor expansion of -1 in im
6.122 * [backup-simplify]: Simplify -1 into -1
6.122 * [taylor]: Taking taylor expansion of re in im
6.122 * [backup-simplify]: Simplify re into re
6.122 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.122 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.122 * [taylor]: Taking taylor expansion of -1 in im
6.122 * [backup-simplify]: Simplify -1 into -1
6.122 * [taylor]: Taking taylor expansion of re in im
6.122 * [backup-simplify]: Simplify re into re
6.122 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.122 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.122 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.122 * [taylor]: Taking taylor expansion of -1 in im
6.122 * [backup-simplify]: Simplify -1 into -1
6.122 * [taylor]: Taking taylor expansion of im in im
6.122 * [backup-simplify]: Simplify 0 into 0
6.122 * [backup-simplify]: Simplify 1 into 1
6.122 * [backup-simplify]: Simplify (/ -1 1) into -1
6.122 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.122 * [taylor]: Taking taylor expansion of -1 in im
6.122 * [backup-simplify]: Simplify -1 into -1
6.122 * [taylor]: Taking taylor expansion of im in im
6.122 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (/ -1 1) into -1
6.123 * [backup-simplify]: Simplify (* -1 -1) into 1
6.123 * [backup-simplify]: Simplify (+ 0 1) into 1
6.124 * [backup-simplify]: Simplify (sqrt 1) into 1
6.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.125 * [backup-simplify]: Simplify (+ 0 0) into 0
6.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.126 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.126 * [taylor]: Taking taylor expansion of re in im
6.126 * [backup-simplify]: Simplify re into re
6.126 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.126 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.126 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.126 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.126 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.126 * [taylor]: Taking taylor expansion of -1 in re
6.126 * [backup-simplify]: Simplify -1 into -1
6.126 * [taylor]: Taking taylor expansion of re in re
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.126 * [backup-simplify]: Simplify (/ -1 1) into -1
6.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.126 * [taylor]: Taking taylor expansion of -1 in re
6.126 * [backup-simplify]: Simplify -1 into -1
6.126 * [taylor]: Taking taylor expansion of re in re
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.127 * [backup-simplify]: Simplify (/ -1 1) into -1
6.127 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.127 * [taylor]: Taking taylor expansion of -1 in re
6.127 * [backup-simplify]: Simplify -1 into -1
6.127 * [taylor]: Taking taylor expansion of im in re
6.127 * [backup-simplify]: Simplify im into im
6.127 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.127 * [taylor]: Taking taylor expansion of -1 in re
6.127 * [backup-simplify]: Simplify -1 into -1
6.127 * [taylor]: Taking taylor expansion of im in re
6.127 * [backup-simplify]: Simplify im into im
6.127 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.127 * [backup-simplify]: Simplify (* -1 -1) into 1
6.127 * [backup-simplify]: Simplify (+ 1 0) into 1
6.128 * [backup-simplify]: Simplify (sqrt 1) into 1
6.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.129 * [backup-simplify]: Simplify (+ 0 0) into 0
6.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.130 * [taylor]: Taking taylor expansion of re in re
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (/ 1 1) into 1
6.130 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
6.130 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.130 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.130 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.130 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.130 * [taylor]: Taking taylor expansion of -1 in re
6.130 * [backup-simplify]: Simplify -1 into -1
6.130 * [taylor]: Taking taylor expansion of re in re
6.130 * [backup-simplify]: Simplify 0 into 0
6.130 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (/ -1 1) into -1
6.130 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.130 * [taylor]: Taking taylor expansion of -1 in re
6.131 * [backup-simplify]: Simplify -1 into -1
6.131 * [taylor]: Taking taylor expansion of re in re
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 1 into 1
6.131 * [backup-simplify]: Simplify (/ -1 1) into -1
6.131 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.131 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.131 * [taylor]: Taking taylor expansion of -1 in re
6.131 * [backup-simplify]: Simplify -1 into -1
6.131 * [taylor]: Taking taylor expansion of im in re
6.131 * [backup-simplify]: Simplify im into im
6.131 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.131 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.131 * [taylor]: Taking taylor expansion of -1 in re
6.131 * [backup-simplify]: Simplify -1 into -1
6.131 * [taylor]: Taking taylor expansion of im in re
6.131 * [backup-simplify]: Simplify im into im
6.131 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.131 * [backup-simplify]: Simplify (* -1 -1) into 1
6.132 * [backup-simplify]: Simplify (+ 1 0) into 1
6.132 * [backup-simplify]: Simplify (sqrt 1) into 1
6.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.133 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.134 * [backup-simplify]: Simplify (+ 0 0) into 0
6.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.134 * [taylor]: Taking taylor expansion of re in re
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 1 into 1
6.134 * [backup-simplify]: Simplify (/ 1 1) into 1
6.135 * [backup-simplify]: Simplify (- 1) into -1
6.135 * [backup-simplify]: Simplify (+ 1 -1) into 0
6.135 * [taylor]: Taking taylor expansion of 0 in im
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.136 * [backup-simplify]: Simplify (- 0) into 0
6.136 * [backup-simplify]: Simplify (+ 0 0) into 0
6.136 * [taylor]: Taking taylor expansion of 0 in im
6.136 * [backup-simplify]: Simplify 0 into 0
6.136 * [backup-simplify]: Simplify 0 into 0
6.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.138 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.138 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.139 * [backup-simplify]: Simplify (- 0) into 0
6.140 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
6.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
6.140 * [taylor]: Taking taylor expansion of 1/2 in im
6.140 * [backup-simplify]: Simplify 1/2 into 1/2
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
6.140 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.140 * [taylor]: Taking taylor expansion of im in im
6.140 * [backup-simplify]: Simplify 0 into 0
6.140 * [backup-simplify]: Simplify 1 into 1
6.140 * [backup-simplify]: Simplify (* 1 1) into 1
6.140 * [backup-simplify]: Simplify (/ 1 1) into 1
6.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.141 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify 0 into 0
6.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.143 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.143 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.144 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.144 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.144 * [backup-simplify]: Simplify (+ 0 0) into 0
6.144 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.145 * [backup-simplify]: Simplify (- 0) into 0
6.145 * [backup-simplify]: Simplify (+ 0 0) into 0
6.145 * [taylor]: Taking taylor expansion of 0 in im
6.145 * [backup-simplify]: Simplify 0 into 0
6.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * [backup-simplify]: Simplify 0 into 0
6.147 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1)
6.147 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
6.147 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
6.147 * [taylor]: Taking taylor expansion of (hypot re im) in im
6.147 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.147 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
6.148 * [taylor]: Taking taylor expansion of (* re re) in im
6.148 * [taylor]: Taking taylor expansion of re in im
6.148 * [backup-simplify]: Simplify re into re
6.148 * [taylor]: Taking taylor expansion of re in im
6.148 * [backup-simplify]: Simplify re into re
6.148 * [taylor]: Taking taylor expansion of (* im im) in im
6.148 * [taylor]: Taking taylor expansion of im in im
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 1 into 1
6.148 * [taylor]: Taking taylor expansion of im in im
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 1 into 1
6.148 * [backup-simplify]: Simplify (* re re) into (pow re 2)
6.148 * [backup-simplify]: Simplify (* 0 0) into 0
6.148 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
6.149 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
6.149 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
6.149 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.150 * [backup-simplify]: Simplify (+ 0 0) into 0
6.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
6.150 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.150 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.150 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.150 * [taylor]: Taking taylor expansion of (* re re) in re
6.150 * [taylor]: Taking taylor expansion of re in re
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [taylor]: Taking taylor expansion of re in re
6.150 * [backup-simplify]: Simplify 0 into 0
6.150 * [backup-simplify]: Simplify 1 into 1
6.150 * [taylor]: Taking taylor expansion of (* im im) in re
6.150 * [taylor]: Taking taylor expansion of im in re
6.150 * [backup-simplify]: Simplify im into im
6.150 * [taylor]: Taking taylor expansion of im in re
6.151 * [backup-simplify]: Simplify im into im
6.151 * [backup-simplify]: Simplify (* 0 0) into 0
6.151 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.152 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.152 * [backup-simplify]: Simplify (+ 0 0) into 0
6.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.153 * [taylor]: Taking taylor expansion of (hypot re im) in re
6.153 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
6.153 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
6.153 * [taylor]: Taking taylor expansion of (* re re) in re
6.153 * [taylor]: Taking taylor expansion of re in re
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [taylor]: Taking taylor expansion of re in re
6.153 * [backup-simplify]: Simplify 0 into 0
6.153 * [backup-simplify]: Simplify 1 into 1
6.153 * [taylor]: Taking taylor expansion of (* im im) in re
6.153 * [taylor]: Taking taylor expansion of im in re
6.153 * [backup-simplify]: Simplify im into im
6.153 * [taylor]: Taking taylor expansion of im in re
6.153 * [backup-simplify]: Simplify im into im
6.153 * [backup-simplify]: Simplify (* 0 0) into 0
6.154 * [backup-simplify]: Simplify (* im im) into (pow im 2)
6.154 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
6.154 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
6.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
6.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
6.155 * [backup-simplify]: Simplify (+ 0 0) into 0
6.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
6.155 * [taylor]: Taking taylor expansion of im in im
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 1 into 1
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [taylor]: Taking taylor expansion of 0 in im
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 1 into 1
6.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
6.157 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
6.157 * [backup-simplify]: Simplify (+ 1 0) into 1
6.158 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
6.158 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
6.158 * [taylor]: Taking taylor expansion of 1/2 in im
6.158 * [backup-simplify]: Simplify 1/2 into 1/2
6.158 * [taylor]: Taking taylor expansion of im in im
6.158 * [backup-simplify]: Simplify 0 into 0
6.158 * [backup-simplify]: Simplify 1 into 1
6.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
6.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
6.162 * [backup-simplify]: Simplify (+ 0 0) into 0
6.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
6.162 * [taylor]: Taking taylor expansion of 0 in im
6.162 * [backup-simplify]: Simplify 0 into 0
6.162 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify 0 into 0
6.163 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
6.163 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
6.163 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
6.163 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
6.164 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.164 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
6.164 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
6.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.164 * [taylor]: Taking taylor expansion of re in im
6.164 * [backup-simplify]: Simplify re into re
6.164 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.164 * [taylor]: Taking taylor expansion of (/ 1 re) in im
6.164 * [taylor]: Taking taylor expansion of re in im
6.164 * [backup-simplify]: Simplify re into re
6.164 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
6.164 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
6.164 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.164 * [taylor]: Taking taylor expansion of im in im
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 1 into 1
6.164 * [backup-simplify]: Simplify (/ 1 1) into 1
6.164 * [taylor]: Taking taylor expansion of (/ 1 im) in im
6.164 * [taylor]: Taking taylor expansion of im in im
6.164 * [backup-simplify]: Simplify 0 into 0
6.164 * [backup-simplify]: Simplify 1 into 1
6.164 * [backup-simplify]: Simplify (/ 1 1) into 1
6.165 * [backup-simplify]: Simplify (* 1 1) into 1
6.165 * [backup-simplify]: Simplify (+ 0 1) into 1
6.165 * [backup-simplify]: Simplify (sqrt 1) into 1
6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.167 * [backup-simplify]: Simplify (+ 0 0) into 0
6.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.167 * [taylor]: Taking taylor expansion of re in re
6.167 * [backup-simplify]: Simplify 0 into 0
6.167 * [backup-simplify]: Simplify 1 into 1
6.167 * [backup-simplify]: Simplify (/ 1 1) into 1
6.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.168 * [taylor]: Taking taylor expansion of re in re
6.168 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (/ 1 1) into 1
6.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.168 * [taylor]: Taking taylor expansion of im in re
6.168 * [backup-simplify]: Simplify im into im
6.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.168 * [taylor]: Taking taylor expansion of im in re
6.168 * [backup-simplify]: Simplify im into im
6.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.168 * [backup-simplify]: Simplify (* 1 1) into 1
6.168 * [backup-simplify]: Simplify (+ 1 0) into 1
6.169 * [backup-simplify]: Simplify (sqrt 1) into 1
6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.170 * [backup-simplify]: Simplify (+ 0 0) into 0
6.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.171 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
6.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
6.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
6.171 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
6.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.171 * [taylor]: Taking taylor expansion of re in re
6.171 * [backup-simplify]: Simplify 0 into 0
6.171 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (/ 1 1) into 1
6.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re
6.171 * [taylor]: Taking taylor expansion of re in re
6.171 * [backup-simplify]: Simplify 0 into 0
6.171 * [backup-simplify]: Simplify 1 into 1
6.171 * [backup-simplify]: Simplify (/ 1 1) into 1
6.171 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
6.171 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.171 * [taylor]: Taking taylor expansion of im in re
6.171 * [backup-simplify]: Simplify im into im
6.171 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.172 * [taylor]: Taking taylor expansion of (/ 1 im) in re
6.172 * [taylor]: Taking taylor expansion of im in re
6.172 * [backup-simplify]: Simplify im into im
6.172 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
6.172 * [backup-simplify]: Simplify (* 1 1) into 1
6.172 * [backup-simplify]: Simplify (+ 1 0) into 1
6.172 * [backup-simplify]: Simplify (sqrt 1) into 1
6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.174 * [backup-simplify]: Simplify (+ 0 0) into 0
6.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.174 * [taylor]: Taking taylor expansion of 1 in im
6.174 * [backup-simplify]: Simplify 1 into 1
6.174 * [taylor]: Taking taylor expansion of 0 in im
6.174 * [backup-simplify]: Simplify 0 into 0
6.174 * [backup-simplify]: Simplify 1 into 1
6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.176 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
6.176 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.177 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.177 * [taylor]: Taking taylor expansion of 1/2 in im
6.177 * [backup-simplify]: Simplify 1/2 into 1/2
6.177 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.177 * [taylor]: Taking taylor expansion of im in im
6.177 * [backup-simplify]: Simplify 0 into 0
6.177 * [backup-simplify]: Simplify 1 into 1
6.177 * [backup-simplify]: Simplify (* 1 1) into 1
6.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.178 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify 0 into 0
6.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
6.181 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
6.181 * [backup-simplify]: Simplify (+ 0 0) into 0
6.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.181 * [taylor]: Taking taylor expansion of 0 in im
6.181 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.182 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
6.183 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
6.183 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
6.183 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
6.183 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.183 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
6.183 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
6.183 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.183 * [taylor]: Taking taylor expansion of -1 in im
6.183 * [backup-simplify]: Simplify -1 into -1
6.183 * [taylor]: Taking taylor expansion of re in im
6.183 * [backup-simplify]: Simplify re into re
6.183 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.183 * [taylor]: Taking taylor expansion of (/ -1 re) in im
6.183 * [taylor]: Taking taylor expansion of -1 in im
6.183 * [backup-simplify]: Simplify -1 into -1
6.183 * [taylor]: Taking taylor expansion of re in im
6.183 * [backup-simplify]: Simplify re into re
6.183 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
6.183 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
6.183 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.183 * [taylor]: Taking taylor expansion of -1 in im
6.183 * [backup-simplify]: Simplify -1 into -1
6.183 * [taylor]: Taking taylor expansion of im in im
6.183 * [backup-simplify]: Simplify 0 into 0
6.183 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (/ -1 1) into -1
6.184 * [taylor]: Taking taylor expansion of (/ -1 im) in im
6.184 * [taylor]: Taking taylor expansion of -1 in im
6.184 * [backup-simplify]: Simplify -1 into -1
6.184 * [taylor]: Taking taylor expansion of im in im
6.184 * [backup-simplify]: Simplify 0 into 0
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (/ -1 1) into -1
6.184 * [backup-simplify]: Simplify (* -1 -1) into 1
6.185 * [backup-simplify]: Simplify (+ 0 1) into 1
6.185 * [backup-simplify]: Simplify (sqrt 1) into 1
6.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.186 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.187 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.187 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.187 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.187 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.187 * [taylor]: Taking taylor expansion of -1 in re
6.187 * [backup-simplify]: Simplify -1 into -1
6.187 * [taylor]: Taking taylor expansion of re in re
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [backup-simplify]: Simplify (/ -1 1) into -1
6.187 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.187 * [taylor]: Taking taylor expansion of -1 in re
6.187 * [backup-simplify]: Simplify -1 into -1
6.187 * [taylor]: Taking taylor expansion of re in re
6.187 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.188 * [backup-simplify]: Simplify (/ -1 1) into -1
6.188 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.188 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.188 * [taylor]: Taking taylor expansion of -1 in re
6.188 * [backup-simplify]: Simplify -1 into -1
6.188 * [taylor]: Taking taylor expansion of im in re
6.188 * [backup-simplify]: Simplify im into im
6.188 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.188 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.188 * [taylor]: Taking taylor expansion of -1 in re
6.188 * [backup-simplify]: Simplify -1 into -1
6.188 * [taylor]: Taking taylor expansion of im in re
6.188 * [backup-simplify]: Simplify im into im
6.188 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.188 * [backup-simplify]: Simplify (* -1 -1) into 1
6.188 * [backup-simplify]: Simplify (+ 1 0) into 1
6.189 * [backup-simplify]: Simplify (sqrt 1) into 1
6.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.190 * [backup-simplify]: Simplify (+ 0 0) into 0
6.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.191 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
6.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
6.191 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
6.191 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
6.191 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.191 * [taylor]: Taking taylor expansion of -1 in re
6.191 * [backup-simplify]: Simplify -1 into -1
6.191 * [taylor]: Taking taylor expansion of re in re
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 1 into 1
6.191 * [backup-simplify]: Simplify (/ -1 1) into -1
6.191 * [taylor]: Taking taylor expansion of (/ -1 re) in re
6.191 * [taylor]: Taking taylor expansion of -1 in re
6.191 * [backup-simplify]: Simplify -1 into -1
6.191 * [taylor]: Taking taylor expansion of re in re
6.191 * [backup-simplify]: Simplify 0 into 0
6.191 * [backup-simplify]: Simplify 1 into 1
6.192 * [backup-simplify]: Simplify (/ -1 1) into -1
6.192 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
6.192 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.192 * [taylor]: Taking taylor expansion of -1 in re
6.192 * [backup-simplify]: Simplify -1 into -1
6.192 * [taylor]: Taking taylor expansion of im in re
6.192 * [backup-simplify]: Simplify im into im
6.192 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.192 * [taylor]: Taking taylor expansion of (/ -1 im) in re
6.192 * [taylor]: Taking taylor expansion of -1 in re
6.192 * [backup-simplify]: Simplify -1 into -1
6.192 * [taylor]: Taking taylor expansion of im in re
6.192 * [backup-simplify]: Simplify im into im
6.192 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
6.192 * [backup-simplify]: Simplify (* -1 -1) into 1
6.192 * [backup-simplify]: Simplify (+ 1 0) into 1
6.193 * [backup-simplify]: Simplify (sqrt 1) into 1
6.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.194 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.194 * [backup-simplify]: Simplify (+ 0 0) into 0
6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.195 * [taylor]: Taking taylor expansion of 1 in im
6.195 * [backup-simplify]: Simplify 1 into 1
6.195 * [taylor]: Taking taylor expansion of 0 in im
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.197 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.198 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
6.198 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
6.199 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
6.199 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
6.199 * [taylor]: Taking taylor expansion of 1/2 in im
6.199 * [backup-simplify]: Simplify 1/2 into 1/2
6.199 * [taylor]: Taking taylor expansion of (pow im 2) in im
6.199 * [taylor]: Taking taylor expansion of im in im
6.199 * [backup-simplify]: Simplify 0 into 0
6.199 * [backup-simplify]: Simplify 1 into 1
6.200 * [backup-simplify]: Simplify (* 1 1) into 1
6.200 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.205 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.205 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
6.206 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
6.206 * [backup-simplify]: Simplify (+ 0 0) into 0
6.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
6.207 * [taylor]: Taking taylor expansion of 0 in im
6.207 * [backup-simplify]: Simplify 0 into 0
6.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
6.209 * * * [progress]: simplifying candidates
6.212 * [simplify]: Simplifying:
  (expm1 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (log1p (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (+ (hypot re im) re) (sqrt 2.0)) (sqrt 2.0))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (* (+ (hypot re im) re) (sqrt 2.0)) (sqrt 2.0))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (+ (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (+ (log (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (+ (hypot re im) re) (sqrt 2.0)) (sqrt 2.0))
  (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 1)))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt 1))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) 1)
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (* (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (log1p (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (+ (hypot re im) re) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (+ (hypot re im) re) (sqrt 2.0))
  (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt (sqrt 2.0))))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (exp (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))))
  (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (+ (hypot re im) re) (sqrt 2.0))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 1)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt 1))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) 1)
  (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (sqrt 2.0)))
  (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (sqrt 2.0)))
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (* (exp (hypot re im)) (exp re))
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))
  (- (* (hypot re im) (hypot re im)) (* re re))
  (- (hypot re im) re)
  (+ (hypot re im) re)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) re)) (- (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))))))))
  0
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
6.214 * * [simplify]: iteration 0: 157 enodes
6.277 * * [simplify]: iteration 1: 397 enodes
6.501 * * [simplify]: iteration 2: 2175 enodes
7.493 * * [simplify]: iteration complete: 5001 enodes
7.493 * * [simplify]: Extracting #0: cost 69 inf + 0
7.495 * * [simplify]: Extracting #1: cost 596 inf + 3
7.500 * * [simplify]: Extracting #2: cost 1099 inf + 6071
7.526 * * [simplify]: Extracting #3: cost 985 inf + 63011
7.567 * * [simplify]: Extracting #4: cost 299 inf + 211163
7.637 * * [simplify]: Extracting #5: cost 37 inf + 264320
7.697 * * [simplify]: Extracting #6: cost 2 inf + 272463
7.782 * * [simplify]: Extracting #7: cost 0 inf + 273049
7.888 * [simplify]: Simplified to:
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (* (+ re (hypot re im)) 2.0)
  (* (sqrt (+ re (hypot re im))) (sqrt 2.0))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (log (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (sqrt 2.0) (* (+ re (hypot re im)) 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (sqrt 2.0) (* (+ re (hypot re im)) 2.0)))
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (sqrt (+ re (hypot re im))) (* (sqrt 2.0) (* (+ re (hypot re im)) 2.0)))
  (* (+ re (hypot re im)) 2.0)
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))
  (* (cbrt (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))
  (* (sqrt (+ re (hypot re im))) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ re (hypot re im))) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0))))
  (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (sqrt 2.0)
  (* (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re))) (sqrt 2.0))
  (* (sqrt (* (+ re (hypot re im)) (- (hypot re im) re))) (sqrt 2.0))
  (expm1 (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (log1p (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (* (sqrt 2.0) (+ re (hypot re im)))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt 2.0) (+ re (hypot re im)))
  (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (log (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (exp (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (+ re (hypot re im)))))
  (* (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))))
  (cbrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (+ re (hypot re im)))))
  (* (sqrt 2.0) (+ re (hypot re im)))
  (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (sqrt (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (cbrt (sqrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (fabs (cbrt (sqrt 2.0))))
  (* (sqrt (+ re (hypot re im))) (sqrt (fabs (cbrt 2.0))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ re (hypot re im))))
  (sqrt (+ re (hypot re im)))
  (* (sqrt (sqrt 2.0)) (cbrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im))))
  (* (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (* (+ re (hypot re im)) (- (hypot re im) re))) (sqrt (sqrt 2.0)))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (exp (+ (hypot re im) re))
  (log (+ re (hypot re im)))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re))
  (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))
  (* (+ re (hypot re im)) (- (hypot re im) re))
  (- (hypot re im) re)
  (+ re (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (- (- (fma (* (* +nan.0 re) (sqrt 2.0)) re (* (* +nan.0 re) (sqrt 2.0))) (* +nan.0 (* im (sqrt 2.0)))))
  (- (* (- +nan.0) (sqrt 2.0)) (fma (/ (sqrt 2.0) (* re re)) +nan.0 (/ (* (- +nan.0) (sqrt 2.0)) re)))
  0
  (fma +nan.0 (* re (- (* re 2.0))) (* +nan.0 (- (* im (sqrt 2.0)) (* re (sqrt 2.0)))))
  (fma (- (sqrt 2.0)) +nan.0 (* +nan.0 (- (/ 2.0 re) (* (/ 2.0 re) (/ (sqrt 2.0) re)))))
  0
  (+ im re)
  (* re 2)
  0
  im
  re
  (- re)
7.900 * * * [progress]: adding candidates to table
8.586 * * [progress]: iteration 4 / 4
8.586 * * * [progress]: picking best candidate
8.620 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))>
8.620 * * * [progress]: localizing error
8.668 * * * [progress]: generating rewritten candidates
8.668 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
8.669 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
8.716 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1)
8.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1)
8.733 * * * [progress]: generating series expansions
8.733 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
8.733 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)
8.733 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0
8.733 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
8.733 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
8.733 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
8.733 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
8.733 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.734 * [taylor]: Taking taylor expansion of (* re re) in im
8.734 * [taylor]: Taking taylor expansion of re in im
8.734 * [backup-simplify]: Simplify re into re
8.734 * [taylor]: Taking taylor expansion of re in im
8.734 * [backup-simplify]: Simplify re into re
8.734 * [taylor]: Taking taylor expansion of (* im im) in im
8.734 * [taylor]: Taking taylor expansion of im in im
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [taylor]: Taking taylor expansion of im in im
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 1 into 1
8.734 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.734 * [backup-simplify]: Simplify (* 0 0) into 0
8.734 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.735 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.735 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.735 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.735 * [backup-simplify]: Simplify (+ 0 0) into 0
8.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.735 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
8.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
8.736 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
8.736 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.736 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.736 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.736 * [taylor]: Taking taylor expansion of (* re re) in im
8.736 * [taylor]: Taking taylor expansion of re in im
8.736 * [backup-simplify]: Simplify re into re
8.736 * [taylor]: Taking taylor expansion of re in im
8.736 * [backup-simplify]: Simplify re into re
8.736 * [taylor]: Taking taylor expansion of (* im im) in im
8.736 * [taylor]: Taking taylor expansion of im in im
8.736 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify 1 into 1
8.736 * [taylor]: Taking taylor expansion of im in im
8.736 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify 1 into 1
8.736 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.736 * [backup-simplify]: Simplify (* 0 0) into 0
8.736 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.736 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.736 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.737 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.737 * [backup-simplify]: Simplify (+ 0 0) into 0
8.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.737 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
8.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
8.737 * [taylor]: Taking taylor expansion of re in im
8.737 * [backup-simplify]: Simplify re into re
8.737 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
8.737 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
8.737 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
8.737 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.737 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.738 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.738 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.738 * [taylor]: Taking taylor expansion of (* re re) in re
8.738 * [taylor]: Taking taylor expansion of re in re
8.738 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify 1 into 1
8.738 * [taylor]: Taking taylor expansion of re in re
8.738 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify 1 into 1
8.738 * [taylor]: Taking taylor expansion of (* im im) in re
8.738 * [taylor]: Taking taylor expansion of im in re
8.738 * [backup-simplify]: Simplify im into im
8.738 * [taylor]: Taking taylor expansion of im in re
8.738 * [backup-simplify]: Simplify im into im
8.738 * [backup-simplify]: Simplify (* 0 0) into 0
8.738 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.738 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.738 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.739 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.739 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.739 * [backup-simplify]: Simplify (+ 0 0) into 0
8.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.739 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.739 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.739 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.739 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.739 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.739 * [taylor]: Taking taylor expansion of (* re re) in re
8.739 * [taylor]: Taking taylor expansion of re in re
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify 1 into 1
8.739 * [taylor]: Taking taylor expansion of re in re
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify 1 into 1
8.739 * [taylor]: Taking taylor expansion of (* im im) in re
8.739 * [taylor]: Taking taylor expansion of im in re
8.739 * [backup-simplify]: Simplify im into im
8.739 * [taylor]: Taking taylor expansion of im in re
8.739 * [backup-simplify]: Simplify im into im
8.740 * [backup-simplify]: Simplify (* 0 0) into 0
8.740 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.740 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.740 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.740 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.740 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.741 * [backup-simplify]: Simplify (+ 0 0) into 0
8.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.741 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.741 * [taylor]: Taking taylor expansion of re in re
8.741 * [backup-simplify]: Simplify 0 into 0
8.741 * [backup-simplify]: Simplify 1 into 1
8.741 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
8.741 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
8.741 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
8.741 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.741 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.741 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.741 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.741 * [taylor]: Taking taylor expansion of (* re re) in re
8.741 * [taylor]: Taking taylor expansion of re in re
8.741 * [backup-simplify]: Simplify 0 into 0
8.741 * [backup-simplify]: Simplify 1 into 1
8.741 * [taylor]: Taking taylor expansion of re in re
8.741 * [backup-simplify]: Simplify 0 into 0
8.741 * [backup-simplify]: Simplify 1 into 1
8.741 * [taylor]: Taking taylor expansion of (* im im) in re
8.741 * [taylor]: Taking taylor expansion of im in re
8.741 * [backup-simplify]: Simplify im into im
8.741 * [taylor]: Taking taylor expansion of im in re
8.741 * [backup-simplify]: Simplify im into im
8.742 * [backup-simplify]: Simplify (* 0 0) into 0
8.742 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.742 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.742 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.742 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.743 * [backup-simplify]: Simplify (+ 0 0) into 0
8.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.743 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.743 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.743 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.743 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.743 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.743 * [taylor]: Taking taylor expansion of (* re re) in re
8.743 * [taylor]: Taking taylor expansion of re in re
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [taylor]: Taking taylor expansion of re in re
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [taylor]: Taking taylor expansion of (* im im) in re
8.743 * [taylor]: Taking taylor expansion of im in re
8.743 * [backup-simplify]: Simplify im into im
8.743 * [taylor]: Taking taylor expansion of im in re
8.743 * [backup-simplify]: Simplify im into im
8.743 * [backup-simplify]: Simplify (* 0 0) into 0
8.743 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.743 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.744 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.744 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.744 * [backup-simplify]: Simplify (+ 0 0) into 0
8.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.744 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.744 * [taylor]: Taking taylor expansion of re in re
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
8.745 * [backup-simplify]: Simplify (+ im 0) into im
8.745 * [taylor]: Taking taylor expansion of im in im
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
8.745 * [backup-simplify]: Simplify (+ 0 1) into 1
8.745 * [taylor]: Taking taylor expansion of 1 in im
8.745 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify 1 into 1
8.745 * [backup-simplify]: Simplify 1 into 1
8.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.746 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.746 * [backup-simplify]: Simplify (+ 1 0) into 1
8.747 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.748 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.749 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.749 * [backup-simplify]: Simplify (+ 1 0) into 1
8.750 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.751 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.752 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
8.752 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
8.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.752 * [taylor]: Taking taylor expansion of 1/2 in im
8.752 * [backup-simplify]: Simplify 1/2 into 1/2
8.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.752 * [taylor]: Taking taylor expansion of im in im
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 1 into 1
8.753 * [backup-simplify]: Simplify (/ 1 1) into 1
8.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.754 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 0 into 0
8.755 * [backup-simplify]: Simplify 0 into 0
8.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.757 * [backup-simplify]: Simplify (+ 0 0) into 0
8.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
8.759 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.760 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.761 * [backup-simplify]: Simplify (+ 0 0) into 0
8.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
8.762 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0
8.762 * [backup-simplify]: Simplify (+ 0 0) into 0
8.762 * [taylor]: Taking taylor expansion of 0 in im
8.762 * [backup-simplify]: Simplify 0 into 0
8.762 * [backup-simplify]: Simplify 0 into 0
8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.764 * [backup-simplify]: Simplify 0 into 0
8.765 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.765 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))
8.765 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0
8.765 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
8.765 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
8.765 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
8.765 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
8.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.766 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.766 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.766 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.766 * [taylor]: Taking taylor expansion of re in im
8.766 * [backup-simplify]: Simplify re into re
8.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.766 * [taylor]: Taking taylor expansion of re in im
8.766 * [backup-simplify]: Simplify re into re
8.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.766 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.766 * [taylor]: Taking taylor expansion of im in im
8.766 * [backup-simplify]: Simplify 0 into 0
8.766 * [backup-simplify]: Simplify 1 into 1
8.766 * [backup-simplify]: Simplify (/ 1 1) into 1
8.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.767 * [taylor]: Taking taylor expansion of im in im
8.767 * [backup-simplify]: Simplify 0 into 0
8.767 * [backup-simplify]: Simplify 1 into 1
8.767 * [backup-simplify]: Simplify (/ 1 1) into 1
8.767 * [backup-simplify]: Simplify (* 1 1) into 1
8.768 * [backup-simplify]: Simplify (+ 0 1) into 1
8.768 * [backup-simplify]: Simplify (sqrt 1) into 1
8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.771 * [backup-simplify]: Simplify (+ 0 0) into 0
8.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.772 * [backup-simplify]: Simplify (sqrt 0) into 0
8.773 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.773 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
8.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.774 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.774 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.774 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.774 * [taylor]: Taking taylor expansion of re in im
8.774 * [backup-simplify]: Simplify re into re
8.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.774 * [taylor]: Taking taylor expansion of re in im
8.774 * [backup-simplify]: Simplify re into re
8.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.774 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.774 * [taylor]: Taking taylor expansion of im in im
8.774 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify 1 into 1
8.774 * [backup-simplify]: Simplify (/ 1 1) into 1
8.775 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.775 * [taylor]: Taking taylor expansion of im in im
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify 1 into 1
8.775 * [backup-simplify]: Simplify (/ 1 1) into 1
8.775 * [backup-simplify]: Simplify (* 1 1) into 1
8.776 * [backup-simplify]: Simplify (+ 0 1) into 1
8.776 * [backup-simplify]: Simplify (sqrt 1) into 1
8.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.779 * [backup-simplify]: Simplify (+ 0 0) into 0
8.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.780 * [backup-simplify]: Simplify (sqrt 0) into 0
8.781 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.782 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.782 * [taylor]: Taking taylor expansion of re in im
8.782 * [backup-simplify]: Simplify re into re
8.782 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.782 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
8.782 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
8.782 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
8.782 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.782 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.782 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.782 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.782 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.782 * [taylor]: Taking taylor expansion of re in re
8.782 * [backup-simplify]: Simplify 0 into 0
8.782 * [backup-simplify]: Simplify 1 into 1
8.783 * [backup-simplify]: Simplify (/ 1 1) into 1
8.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.783 * [taylor]: Taking taylor expansion of re in re
8.783 * [backup-simplify]: Simplify 0 into 0
8.783 * [backup-simplify]: Simplify 1 into 1
8.783 * [backup-simplify]: Simplify (/ 1 1) into 1
8.783 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.783 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.783 * [taylor]: Taking taylor expansion of im in re
8.783 * [backup-simplify]: Simplify im into im
8.783 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.784 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.784 * [taylor]: Taking taylor expansion of im in re
8.784 * [backup-simplify]: Simplify im into im
8.784 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.784 * [backup-simplify]: Simplify (* 1 1) into 1
8.784 * [backup-simplify]: Simplify (+ 1 0) into 1
8.785 * [backup-simplify]: Simplify (sqrt 1) into 1
8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.788 * [backup-simplify]: Simplify (+ 0 0) into 0
8.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.792 * [backup-simplify]: Simplify (sqrt 0) into 0
8.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.794 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.794 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.794 * [taylor]: Taking taylor expansion of re in re
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [backup-simplify]: Simplify (/ 1 1) into 1
8.794 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.794 * [taylor]: Taking taylor expansion of re in re
8.795 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify 1 into 1
8.795 * [backup-simplify]: Simplify (/ 1 1) into 1
8.795 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.795 * [taylor]: Taking taylor expansion of im in re
8.795 * [backup-simplify]: Simplify im into im
8.795 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.795 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.795 * [taylor]: Taking taylor expansion of im in re
8.795 * [backup-simplify]: Simplify im into im
8.795 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.796 * [backup-simplify]: Simplify (* 1 1) into 1
8.796 * [backup-simplify]: Simplify (+ 1 0) into 1
8.797 * [backup-simplify]: Simplify (sqrt 1) into 1
8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.799 * [backup-simplify]: Simplify (+ 0 0) into 0
8.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.800 * [backup-simplify]: Simplify (sqrt 0) into 0
8.802 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.802 * [taylor]: Taking taylor expansion of re in re
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [backup-simplify]: Simplify (/ 1 1) into 1
8.802 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
8.803 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
8.803 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
8.803 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.803 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.803 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.803 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.803 * [taylor]: Taking taylor expansion of re in re
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.803 * [backup-simplify]: Simplify (/ 1 1) into 1
8.803 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.803 * [taylor]: Taking taylor expansion of re in re
8.803 * [backup-simplify]: Simplify 0 into 0
8.803 * [backup-simplify]: Simplify 1 into 1
8.804 * [backup-simplify]: Simplify (/ 1 1) into 1
8.804 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.804 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.804 * [taylor]: Taking taylor expansion of im in re
8.804 * [backup-simplify]: Simplify im into im
8.804 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.804 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.804 * [taylor]: Taking taylor expansion of im in re
8.804 * [backup-simplify]: Simplify im into im
8.804 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.805 * [backup-simplify]: Simplify (* 1 1) into 1
8.805 * [backup-simplify]: Simplify (+ 1 0) into 1
8.805 * [backup-simplify]: Simplify (sqrt 1) into 1
8.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.808 * [backup-simplify]: Simplify (+ 0 0) into 0
8.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.808 * [backup-simplify]: Simplify (sqrt 0) into 0
8.809 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.809 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
8.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.809 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.809 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.809 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.809 * [taylor]: Taking taylor expansion of re in re
8.809 * [backup-simplify]: Simplify 0 into 0
8.809 * [backup-simplify]: Simplify 1 into 1
8.809 * [backup-simplify]: Simplify (/ 1 1) into 1
8.810 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.810 * [taylor]: Taking taylor expansion of re in re
8.810 * [backup-simplify]: Simplify 0 into 0
8.810 * [backup-simplify]: Simplify 1 into 1
8.810 * [backup-simplify]: Simplify (/ 1 1) into 1
8.810 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.810 * [taylor]: Taking taylor expansion of im in re
8.810 * [backup-simplify]: Simplify im into im
8.810 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.810 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.810 * [taylor]: Taking taylor expansion of im in re
8.810 * [backup-simplify]: Simplify im into im
8.810 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.810 * [backup-simplify]: Simplify (* 1 1) into 1
8.811 * [backup-simplify]: Simplify (+ 1 0) into 1
8.811 * [backup-simplify]: Simplify (sqrt 1) into 1
8.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.812 * [backup-simplify]: Simplify (+ 0 0) into 0
8.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.813 * [backup-simplify]: Simplify (sqrt 0) into 0
8.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.814 * [taylor]: Taking taylor expansion of re in re
8.814 * [backup-simplify]: Simplify 0 into 0
8.814 * [backup-simplify]: Simplify 1 into 1
8.814 * [backup-simplify]: Simplify (/ 1 1) into 1
8.814 * [backup-simplify]: Simplify (* 0 0) into 0
8.815 * [backup-simplify]: Simplify (+ 0 0) into 0
8.815 * [taylor]: Taking taylor expansion of 0 in im
8.815 * [backup-simplify]: Simplify 0 into 0
8.815 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
8.815 * [backup-simplify]: Simplify (+ 0 1) into 1
8.815 * [taylor]: Taking taylor expansion of 1 in im
8.815 * [backup-simplify]: Simplify 1 into 1
8.817 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.819 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.821 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
8.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.822 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
8.822 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.822 * [taylor]: Taking taylor expansion of +nan.0 in im
8.822 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.822 * [backup-simplify]: Simplify 0 into 0
8.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.824 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.824 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.825 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.826 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.828 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.828 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.829 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.830 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
8.831 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
8.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.832 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
8.832 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.832 * [taylor]: Taking taylor expansion of +nan.0 in im
8.832 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.832 * [backup-simplify]: Simplify 1 into 1
8.832 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.834 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.834 * [backup-simplify]: Simplify (+ 0 0) into 0
8.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.836 * [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)))
8.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.839 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.840 * [backup-simplify]: Simplify (+ 0 0) into 0
8.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.842 * [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)))
8.844 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
8.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.846 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
8.846 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
8.846 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
8.846 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
8.846 * [taylor]: Taking taylor expansion of +nan.0 in im
8.846 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.846 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.846 * [taylor]: Taking taylor expansion of im in im
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.847 * [backup-simplify]: Simplify (* 1 1) into 1
8.847 * [backup-simplify]: Simplify (/ 1 1) into 1
8.847 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.847 * [taylor]: Taking taylor expansion of +nan.0 in im
8.847 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.848 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
8.848 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
8.849 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
8.849 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.852 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
8.852 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))
8.852 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0
8.852 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
8.852 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
8.852 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
8.852 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
8.852 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.852 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.852 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.852 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.852 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.852 * [taylor]: Taking taylor expansion of -1 in im
8.852 * [backup-simplify]: Simplify -1 into -1
8.853 * [taylor]: Taking taylor expansion of re in im
8.853 * [backup-simplify]: Simplify re into re
8.853 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.853 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.853 * [taylor]: Taking taylor expansion of -1 in im
8.853 * [backup-simplify]: Simplify -1 into -1
8.853 * [taylor]: Taking taylor expansion of re in im
8.853 * [backup-simplify]: Simplify re into re
8.853 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.853 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.853 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.853 * [taylor]: Taking taylor expansion of -1 in im
8.853 * [backup-simplify]: Simplify -1 into -1
8.853 * [taylor]: Taking taylor expansion of im in im
8.853 * [backup-simplify]: Simplify 0 into 0
8.853 * [backup-simplify]: Simplify 1 into 1
8.853 * [backup-simplify]: Simplify (/ -1 1) into -1
8.853 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.853 * [taylor]: Taking taylor expansion of -1 in im
8.853 * [backup-simplify]: Simplify -1 into -1
8.854 * [taylor]: Taking taylor expansion of im in im
8.854 * [backup-simplify]: Simplify 0 into 0
8.854 * [backup-simplify]: Simplify 1 into 1
8.854 * [backup-simplify]: Simplify (/ -1 1) into -1
8.854 * [backup-simplify]: Simplify (* -1 -1) into 1
8.855 * [backup-simplify]: Simplify (+ 0 1) into 1
8.855 * [backup-simplify]: Simplify (sqrt 1) into 1
8.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.857 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.858 * [backup-simplify]: Simplify (+ 0 0) into 0
8.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.859 * [backup-simplify]: Simplify (sqrt 0) into 0
8.860 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.860 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
8.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.861 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.861 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.861 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.861 * [taylor]: Taking taylor expansion of -1 in im
8.861 * [backup-simplify]: Simplify -1 into -1
8.861 * [taylor]: Taking taylor expansion of re in im
8.861 * [backup-simplify]: Simplify re into re
8.861 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.861 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.861 * [taylor]: Taking taylor expansion of -1 in im
8.861 * [backup-simplify]: Simplify -1 into -1
8.861 * [taylor]: Taking taylor expansion of re in im
8.861 * [backup-simplify]: Simplify re into re
8.861 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.861 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.861 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.861 * [taylor]: Taking taylor expansion of -1 in im
8.861 * [backup-simplify]: Simplify -1 into -1
8.861 * [taylor]: Taking taylor expansion of im in im
8.861 * [backup-simplify]: Simplify 0 into 0
8.861 * [backup-simplify]: Simplify 1 into 1
8.862 * [backup-simplify]: Simplify (/ -1 1) into -1
8.862 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.862 * [taylor]: Taking taylor expansion of -1 in im
8.862 * [backup-simplify]: Simplify -1 into -1
8.862 * [taylor]: Taking taylor expansion of im in im
8.862 * [backup-simplify]: Simplify 0 into 0
8.862 * [backup-simplify]: Simplify 1 into 1
8.862 * [backup-simplify]: Simplify (/ -1 1) into -1
8.863 * [backup-simplify]: Simplify (* -1 -1) into 1
8.863 * [backup-simplify]: Simplify (+ 0 1) into 1
8.863 * [backup-simplify]: Simplify (sqrt 1) into 1
8.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.866 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.866 * [backup-simplify]: Simplify (+ 0 0) into 0
8.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.867 * [backup-simplify]: Simplify (sqrt 0) into 0
8.868 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.869 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.869 * [taylor]: Taking taylor expansion of -1 in im
8.869 * [backup-simplify]: Simplify -1 into -1
8.869 * [taylor]: Taking taylor expansion of re in im
8.869 * [backup-simplify]: Simplify re into re
8.869 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.869 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
8.869 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
8.869 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
8.869 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
8.869 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.869 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.869 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.869 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.870 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.870 * [taylor]: Taking taylor expansion of -1 in re
8.870 * [backup-simplify]: Simplify -1 into -1
8.870 * [taylor]: Taking taylor expansion of re in re
8.870 * [backup-simplify]: Simplify 0 into 0
8.870 * [backup-simplify]: Simplify 1 into 1
8.870 * [backup-simplify]: Simplify (/ -1 1) into -1
8.870 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.870 * [taylor]: Taking taylor expansion of -1 in re
8.870 * [backup-simplify]: Simplify -1 into -1
8.870 * [taylor]: Taking taylor expansion of re in re
8.870 * [backup-simplify]: Simplify 0 into 0
8.870 * [backup-simplify]: Simplify 1 into 1
8.871 * [backup-simplify]: Simplify (/ -1 1) into -1
8.871 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.871 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.871 * [taylor]: Taking taylor expansion of -1 in re
8.871 * [backup-simplify]: Simplify -1 into -1
8.871 * [taylor]: Taking taylor expansion of im in re
8.871 * [backup-simplify]: Simplify im into im
8.871 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.871 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.871 * [taylor]: Taking taylor expansion of -1 in re
8.871 * [backup-simplify]: Simplify -1 into -1
8.871 * [taylor]: Taking taylor expansion of im in re
8.871 * [backup-simplify]: Simplify im into im
8.871 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.871 * [backup-simplify]: Simplify (* -1 -1) into 1
8.872 * [backup-simplify]: Simplify (+ 1 0) into 1
8.872 * [backup-simplify]: Simplify (sqrt 1) into 1
8.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.875 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.875 * [backup-simplify]: Simplify (+ 0 0) into 0
8.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.876 * [backup-simplify]: Simplify (sqrt 0) into 0
8.877 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.877 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
8.877 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.877 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.877 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.877 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.877 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.877 * [taylor]: Taking taylor expansion of -1 in re
8.877 * [backup-simplify]: Simplify -1 into -1
8.877 * [taylor]: Taking taylor expansion of re in re
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 1 into 1
8.877 * [backup-simplify]: Simplify (/ -1 1) into -1
8.877 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.877 * [taylor]: Taking taylor expansion of -1 in re
8.877 * [backup-simplify]: Simplify -1 into -1
8.877 * [taylor]: Taking taylor expansion of re in re
8.877 * [backup-simplify]: Simplify 0 into 0
8.877 * [backup-simplify]: Simplify 1 into 1
8.877 * [backup-simplify]: Simplify (/ -1 1) into -1
8.878 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.878 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.878 * [taylor]: Taking taylor expansion of -1 in re
8.878 * [backup-simplify]: Simplify -1 into -1
8.878 * [taylor]: Taking taylor expansion of im in re
8.878 * [backup-simplify]: Simplify im into im
8.878 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.878 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.878 * [taylor]: Taking taylor expansion of -1 in re
8.878 * [backup-simplify]: Simplify -1 into -1
8.878 * [taylor]: Taking taylor expansion of im in re
8.878 * [backup-simplify]: Simplify im into im
8.878 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.878 * [backup-simplify]: Simplify (* -1 -1) into 1
8.878 * [backup-simplify]: Simplify (+ 1 0) into 1
8.879 * [backup-simplify]: Simplify (sqrt 1) into 1
8.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.880 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.880 * [backup-simplify]: Simplify (+ 0 0) into 0
8.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.881 * [backup-simplify]: Simplify (sqrt 0) into 0
8.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.882 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.882 * [taylor]: Taking taylor expansion of -1 in re
8.882 * [backup-simplify]: Simplify -1 into -1
8.882 * [taylor]: Taking taylor expansion of re in re
8.882 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify 1 into 1
8.882 * [backup-simplify]: Simplify (/ -1 1) into -1
8.882 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
8.882 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
8.882 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
8.882 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
8.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.882 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.882 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.882 * [taylor]: Taking taylor expansion of -1 in re
8.882 * [backup-simplify]: Simplify -1 into -1
8.882 * [taylor]: Taking taylor expansion of re in re
8.882 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify 1 into 1
8.883 * [backup-simplify]: Simplify (/ -1 1) into -1
8.883 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.883 * [taylor]: Taking taylor expansion of -1 in re
8.883 * [backup-simplify]: Simplify -1 into -1
8.883 * [taylor]: Taking taylor expansion of re in re
8.883 * [backup-simplify]: Simplify 0 into 0
8.883 * [backup-simplify]: Simplify 1 into 1
8.883 * [backup-simplify]: Simplify (/ -1 1) into -1
8.883 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.883 * [taylor]: Taking taylor expansion of -1 in re
8.883 * [backup-simplify]: Simplify -1 into -1
8.883 * [taylor]: Taking taylor expansion of im in re
8.883 * [backup-simplify]: Simplify im into im
8.883 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.883 * [taylor]: Taking taylor expansion of -1 in re
8.883 * [backup-simplify]: Simplify -1 into -1
8.883 * [taylor]: Taking taylor expansion of im in re
8.883 * [backup-simplify]: Simplify im into im
8.883 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.884 * [backup-simplify]: Simplify (* -1 -1) into 1
8.884 * [backup-simplify]: Simplify (+ 1 0) into 1
8.884 * [backup-simplify]: Simplify (sqrt 1) into 1
8.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.886 * [backup-simplify]: Simplify (+ 0 0) into 0
8.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.886 * [backup-simplify]: Simplify (sqrt 0) into 0
8.887 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.887 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
8.887 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.887 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.887 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.887 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.887 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.887 * [taylor]: Taking taylor expansion of -1 in re
8.887 * [backup-simplify]: Simplify -1 into -1
8.887 * [taylor]: Taking taylor expansion of re in re
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify 1 into 1
8.888 * [backup-simplify]: Simplify (/ -1 1) into -1
8.888 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.888 * [taylor]: Taking taylor expansion of -1 in re
8.888 * [backup-simplify]: Simplify -1 into -1
8.888 * [taylor]: Taking taylor expansion of re in re
8.888 * [backup-simplify]: Simplify 0 into 0
8.888 * [backup-simplify]: Simplify 1 into 1
8.888 * [backup-simplify]: Simplify (/ -1 1) into -1
8.888 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.888 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.888 * [taylor]: Taking taylor expansion of -1 in re
8.888 * [backup-simplify]: Simplify -1 into -1
8.888 * [taylor]: Taking taylor expansion of im in re
8.888 * [backup-simplify]: Simplify im into im
8.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.888 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.888 * [taylor]: Taking taylor expansion of -1 in re
8.888 * [backup-simplify]: Simplify -1 into -1
8.888 * [taylor]: Taking taylor expansion of im in re
8.888 * [backup-simplify]: Simplify im into im
8.888 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.889 * [backup-simplify]: Simplify (* -1 -1) into 1
8.889 * [backup-simplify]: Simplify (+ 1 0) into 1
8.889 * [backup-simplify]: Simplify (sqrt 1) into 1
8.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.891 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.891 * [backup-simplify]: Simplify (+ 0 0) into 0
8.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.892 * [backup-simplify]: Simplify (sqrt 0) into 0
8.892 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.892 * [taylor]: Taking taylor expansion of -1 in re
8.892 * [backup-simplify]: Simplify -1 into -1
8.892 * [taylor]: Taking taylor expansion of re in re
8.892 * [backup-simplify]: Simplify 0 into 0
8.892 * [backup-simplify]: Simplify 1 into 1
8.893 * [backup-simplify]: Simplify (/ -1 1) into -1
8.893 * [backup-simplify]: Simplify (* 0 0) into 0
8.893 * [backup-simplify]: Simplify (+ 0 0) into 0
8.893 * [taylor]: Taking taylor expansion of 0 in im
8.893 * [backup-simplify]: Simplify 0 into 0
8.894 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
8.894 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.894 * [taylor]: Taking taylor expansion of -1 in im
8.894 * [backup-simplify]: Simplify -1 into -1
8.896 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.897 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.899 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
8.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.900 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
8.900 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.900 * [taylor]: Taking taylor expansion of +nan.0 in im
8.900 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.900 * [backup-simplify]: Simplify 0 into 0
8.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.902 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.902 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.906 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.908 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
8.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.911 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.912 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.912 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.913 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.915 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
8.917 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
8.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.919 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
8.919 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.919 * [taylor]: Taking taylor expansion of +nan.0 in im
8.919 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.920 * [backup-simplify]: Simplify -1 into -1
8.920 * [backup-simplify]: Simplify 0 into 0
8.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.923 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.923 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.923 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.924 * [backup-simplify]: Simplify (+ 0 0) into 0
8.925 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.926 * [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)))
8.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.929 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.929 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.929 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.930 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.930 * [backup-simplify]: Simplify (+ 0 0) into 0
8.931 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.932 * [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)))
8.933 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
8.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.934 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
8.934 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
8.934 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
8.934 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
8.934 * [taylor]: Taking taylor expansion of +nan.0 in im
8.934 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.934 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.934 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.934 * [taylor]: Taking taylor expansion of im in im
8.934 * [backup-simplify]: Simplify 0 into 0
8.934 * [backup-simplify]: Simplify 1 into 1
8.934 * [backup-simplify]: Simplify (* 1 1) into 1
8.935 * [backup-simplify]: Simplify (/ 1 1) into 1
8.935 * [taylor]: Taking taylor expansion of (- +nan.0) in im
8.935 * [taylor]: Taking taylor expansion of +nan.0 in im
8.935 * [backup-simplify]: Simplify +nan.0 into +nan.0
8.935 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
8.935 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
8.936 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
8.936 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.936 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.936 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
8.937 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
8.937 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
8.938 * [backup-simplify]: Simplify (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))
8.939 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in (re im) around 0
8.939 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in im
8.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.939 * [taylor]: Taking taylor expansion of 2.0 in im
8.939 * [backup-simplify]: Simplify 2.0 into 2.0
8.939 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.939 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im
8.939 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
8.939 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
8.940 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
8.940 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
8.940 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.940 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.940 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.940 * [taylor]: Taking taylor expansion of (* re re) in im
8.940 * [taylor]: Taking taylor expansion of re in im
8.940 * [backup-simplify]: Simplify re into re
8.940 * [taylor]: Taking taylor expansion of re in im
8.940 * [backup-simplify]: Simplify re into re
8.940 * [taylor]: Taking taylor expansion of (* im im) in im
8.940 * [taylor]: Taking taylor expansion of im in im
8.940 * [backup-simplify]: Simplify 0 into 0
8.940 * [backup-simplify]: Simplify 1 into 1
8.940 * [taylor]: Taking taylor expansion of im in im
8.940 * [backup-simplify]: Simplify 0 into 0
8.940 * [backup-simplify]: Simplify 1 into 1
8.940 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.940 * [backup-simplify]: Simplify (* 0 0) into 0
8.940 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.940 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.940 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.941 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.941 * [backup-simplify]: Simplify (+ 0 0) into 0
8.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.941 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
8.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
8.941 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
8.941 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.941 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.941 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.941 * [taylor]: Taking taylor expansion of (* re re) in im
8.941 * [taylor]: Taking taylor expansion of re in im
8.941 * [backup-simplify]: Simplify re into re
8.941 * [taylor]: Taking taylor expansion of re in im
8.941 * [backup-simplify]: Simplify re into re
8.941 * [taylor]: Taking taylor expansion of (* im im) in im
8.941 * [taylor]: Taking taylor expansion of im in im
8.941 * [backup-simplify]: Simplify 0 into 0
8.941 * [backup-simplify]: Simplify 1 into 1
8.941 * [taylor]: Taking taylor expansion of im in im
8.941 * [backup-simplify]: Simplify 0 into 0
8.941 * [backup-simplify]: Simplify 1 into 1
8.942 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.942 * [backup-simplify]: Simplify (* 0 0) into 0
8.942 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.942 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.942 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.942 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.943 * [backup-simplify]: Simplify (+ 0 0) into 0
8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.943 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
8.943 * [taylor]: Taking taylor expansion of re in im
8.943 * [backup-simplify]: Simplify re into re
8.943 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re
8.943 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
8.943 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
8.943 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
8.943 * [backup-simplify]: Simplify (+ 0 0) into 0
8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
8.943 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re
8.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.944 * [taylor]: Taking taylor expansion of 2.0 in re
8.944 * [backup-simplify]: Simplify 2.0 into 2.0
8.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.944 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re
8.944 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
8.944 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
8.944 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
8.944 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.944 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.944 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.944 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.944 * [taylor]: Taking taylor expansion of (* re re) in re
8.945 * [taylor]: Taking taylor expansion of re in re
8.945 * [backup-simplify]: Simplify 0 into 0
8.945 * [backup-simplify]: Simplify 1 into 1
8.945 * [taylor]: Taking taylor expansion of re in re
8.945 * [backup-simplify]: Simplify 0 into 0
8.945 * [backup-simplify]: Simplify 1 into 1
8.945 * [taylor]: Taking taylor expansion of (* im im) in re
8.945 * [taylor]: Taking taylor expansion of im in re
8.945 * [backup-simplify]: Simplify im into im
8.945 * [taylor]: Taking taylor expansion of im in re
8.945 * [backup-simplify]: Simplify im into im
8.945 * [backup-simplify]: Simplify (* 0 0) into 0
8.945 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.945 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.945 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.946 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.946 * [backup-simplify]: Simplify (+ 0 0) into 0
8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.946 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.946 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.946 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.946 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.946 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.946 * [taylor]: Taking taylor expansion of (* re re) in re
8.946 * [taylor]: Taking taylor expansion of re in re
8.946 * [backup-simplify]: Simplify 0 into 0
8.946 * [backup-simplify]: Simplify 1 into 1
8.946 * [taylor]: Taking taylor expansion of re in re
8.946 * [backup-simplify]: Simplify 0 into 0
8.946 * [backup-simplify]: Simplify 1 into 1
8.946 * [taylor]: Taking taylor expansion of (* im im) in re
8.946 * [taylor]: Taking taylor expansion of im in re
8.946 * [backup-simplify]: Simplify im into im
8.946 * [taylor]: Taking taylor expansion of im in re
8.946 * [backup-simplify]: Simplify im into im
8.947 * [backup-simplify]: Simplify (* 0 0) into 0
8.947 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.947 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.947 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.947 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.947 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.947 * [backup-simplify]: Simplify (+ 0 0) into 0
8.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.948 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.948 * [taylor]: Taking taylor expansion of re in re
8.948 * [backup-simplify]: Simplify 0 into 0
8.948 * [backup-simplify]: Simplify 1 into 1
8.948 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
8.948 * [backup-simplify]: Simplify (+ im 0) into im
8.948 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.948 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
8.948 * [backup-simplify]: Simplify (+ 0 1) into 1
8.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
8.948 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re
8.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
8.948 * [taylor]: Taking taylor expansion of 2.0 in re
8.948 * [backup-simplify]: Simplify 2.0 into 2.0
8.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.949 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re
8.949 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
8.949 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
8.949 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
8.949 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.949 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.949 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.949 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.949 * [taylor]: Taking taylor expansion of (* re re) in re
8.949 * [taylor]: Taking taylor expansion of re in re
8.949 * [backup-simplify]: Simplify 0 into 0
8.949 * [backup-simplify]: Simplify 1 into 1
8.949 * [taylor]: Taking taylor expansion of re in re
8.949 * [backup-simplify]: Simplify 0 into 0
8.949 * [backup-simplify]: Simplify 1 into 1
8.949 * [taylor]: Taking taylor expansion of (* im im) in re
8.949 * [taylor]: Taking taylor expansion of im in re
8.949 * [backup-simplify]: Simplify im into im
8.950 * [taylor]: Taking taylor expansion of im in re
8.950 * [backup-simplify]: Simplify im into im
8.950 * [backup-simplify]: Simplify (* 0 0) into 0
8.950 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.950 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.950 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.950 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.951 * [backup-simplify]: Simplify (+ 0 0) into 0
8.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.951 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.951 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
8.951 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.951 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.951 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.951 * [taylor]: Taking taylor expansion of (* re re) in re
8.951 * [taylor]: Taking taylor expansion of re in re
8.951 * [backup-simplify]: Simplify 0 into 0
8.951 * [backup-simplify]: Simplify 1 into 1
8.951 * [taylor]: Taking taylor expansion of re in re
8.951 * [backup-simplify]: Simplify 0 into 0
8.951 * [backup-simplify]: Simplify 1 into 1
8.951 * [taylor]: Taking taylor expansion of (* im im) in re
8.951 * [taylor]: Taking taylor expansion of im in re
8.951 * [backup-simplify]: Simplify im into im
8.951 * [taylor]: Taking taylor expansion of im in re
8.951 * [backup-simplify]: Simplify im into im
8.951 * [backup-simplify]: Simplify (* 0 0) into 0
8.952 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.952 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.952 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.952 * [backup-simplify]: Simplify (+ 0 0) into 0
8.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.953 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
8.953 * [taylor]: Taking taylor expansion of re in re
8.953 * [backup-simplify]: Simplify 0 into 0
8.953 * [backup-simplify]: Simplify 1 into 1
8.953 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
8.953 * [backup-simplify]: Simplify (+ im 0) into im
8.953 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
8.953 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
8.953 * [backup-simplify]: Simplify (+ 0 1) into 1
8.953 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
8.953 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
8.954 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
8.954 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.954 * [taylor]: Taking taylor expansion of 2.0 in im
8.954 * [backup-simplify]: Simplify 2.0 into 2.0
8.954 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.954 * [taylor]: Taking taylor expansion of (sqrt im) in im
8.954 * [taylor]: Taking taylor expansion of im in im
8.954 * [backup-simplify]: Simplify 0 into 0
8.954 * [backup-simplify]: Simplify 1 into 1
8.955 * [backup-simplify]: Simplify (sqrt 0) into 0
8.955 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.956 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.956 * [backup-simplify]: Simplify 0 into 0
8.956 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
8.956 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
8.956 * [taylor]: Taking taylor expansion of 1/2 in im
8.956 * [backup-simplify]: Simplify 1/2 into 1/2
8.956 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
8.956 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.956 * [taylor]: Taking taylor expansion of 2.0 in im
8.956 * [backup-simplify]: Simplify 2.0 into 2.0
8.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
8.957 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.957 * [taylor]: Taking taylor expansion of im in im
8.957 * [backup-simplify]: Simplify 0 into 0
8.957 * [backup-simplify]: Simplify 1 into 1
8.957 * [backup-simplify]: Simplify (/ 1 1) into 1
8.957 * [backup-simplify]: Simplify (sqrt 0) into 0
8.958 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.960 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.960 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.962 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.963 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.964 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.965 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
8.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.966 * [backup-simplify]: Simplify (+ 1 0) into 1
8.967 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.967 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.968 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.968 * [backup-simplify]: Simplify (+ 1 0) into 1
8.969 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.970 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
8.970 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
8.970 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
8.971 * [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))))
8.972 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.972 * [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)))))
8.972 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
8.973 * [taylor]: Taking taylor expansion of 1/8 in im
8.973 * [backup-simplify]: Simplify 1/8 into 1/8
8.973 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
8.973 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
8.973 * [taylor]: Taking taylor expansion of 2.0 in im
8.973 * [backup-simplify]: Simplify 2.0 into 2.0
8.973 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
8.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
8.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
8.974 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
8.974 * [taylor]: Taking taylor expansion of (pow im 3) in im
8.974 * [taylor]: Taking taylor expansion of im in im
8.974 * [backup-simplify]: Simplify 0 into 0
8.974 * [backup-simplify]: Simplify 1 into 1
8.974 * [backup-simplify]: Simplify (* 1 1) into 1
8.975 * [backup-simplify]: Simplify (* 1 1) into 1
8.975 * [backup-simplify]: Simplify (/ 1 1) into 1
8.975 * [backup-simplify]: Simplify (sqrt 0) into 0
8.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
8.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.982 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
8.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
8.986 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
8.988 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
8.989 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
8.994 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
8.996 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.001 * [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)))))))
9.003 * [backup-simplify]: Simplify (* (* (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))))
9.003 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0
9.003 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im
9.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.003 * [taylor]: Taking taylor expansion of 2.0 in im
9.003 * [backup-simplify]: Simplify 2.0 into 2.0
9.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.005 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im
9.005 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
9.005 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
9.005 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
9.005 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
9.005 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.005 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.005 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.005 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.005 * [taylor]: Taking taylor expansion of re in im
9.005 * [backup-simplify]: Simplify re into re
9.005 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.005 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.005 * [taylor]: Taking taylor expansion of re in im
9.005 * [backup-simplify]: Simplify re into re
9.005 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.005 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.005 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.005 * [taylor]: Taking taylor expansion of im in im
9.005 * [backup-simplify]: Simplify 0 into 0
9.005 * [backup-simplify]: Simplify 1 into 1
9.006 * [backup-simplify]: Simplify (/ 1 1) into 1
9.006 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.006 * [taylor]: Taking taylor expansion of im in im
9.006 * [backup-simplify]: Simplify 0 into 0
9.006 * [backup-simplify]: Simplify 1 into 1
9.006 * [backup-simplify]: Simplify (/ 1 1) into 1
9.007 * [backup-simplify]: Simplify (* 1 1) into 1
9.007 * [backup-simplify]: Simplify (+ 0 1) into 1
9.007 * [backup-simplify]: Simplify (sqrt 1) into 1
9.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.010 * [backup-simplify]: Simplify (+ 0 0) into 0
9.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.011 * [backup-simplify]: Simplify (sqrt 0) into 0
9.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.013 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
9.013 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.013 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.013 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.013 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.013 * [taylor]: Taking taylor expansion of re in im
9.013 * [backup-simplify]: Simplify re into re
9.013 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.013 * [taylor]: Taking taylor expansion of re in im
9.013 * [backup-simplify]: Simplify re into re
9.013 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.013 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.013 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.013 * [taylor]: Taking taylor expansion of im in im
9.013 * [backup-simplify]: Simplify 0 into 0
9.013 * [backup-simplify]: Simplify 1 into 1
9.014 * [backup-simplify]: Simplify (/ 1 1) into 1
9.014 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.014 * [taylor]: Taking taylor expansion of im in im
9.014 * [backup-simplify]: Simplify 0 into 0
9.014 * [backup-simplify]: Simplify 1 into 1
9.014 * [backup-simplify]: Simplify (/ 1 1) into 1
9.015 * [backup-simplify]: Simplify (* 1 1) into 1
9.015 * [backup-simplify]: Simplify (+ 0 1) into 1
9.015 * [backup-simplify]: Simplify (sqrt 1) into 1
9.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.018 * [backup-simplify]: Simplify (+ 0 0) into 0
9.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.019 * [backup-simplify]: Simplify (sqrt 0) into 0
9.021 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.021 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.021 * [taylor]: Taking taylor expansion of re in im
9.021 * [backup-simplify]: Simplify re into re
9.021 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.021 * [backup-simplify]: Simplify (* 0 0) into 0
9.022 * [backup-simplify]: Simplify (+ 0 0) into 0
9.022 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.023 * [backup-simplify]: Simplify (+ 0 0) into 0
9.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.031 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.034 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.035 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0)
9.035 * [backup-simplify]: Simplify (sqrt (- (/ 1 re) +nan.0)) into (sqrt (- (/ 1 re) +nan.0))
9.035 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.038 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.039 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.041 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.041 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
9.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.044 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.046 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.048 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.049 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
9.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.050 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.051 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 re) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 re) +nan.0))))
9.051 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
9.051 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.051 * [taylor]: Taking taylor expansion of 2.0 in re
9.051 * [backup-simplify]: Simplify 2.0 into 2.0
9.051 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.052 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
9.052 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
9.052 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
9.052 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
9.052 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.052 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.052 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.053 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.053 * [taylor]: Taking taylor expansion of re in re
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify 1 into 1
9.053 * [backup-simplify]: Simplify (/ 1 1) into 1
9.053 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.053 * [taylor]: Taking taylor expansion of re in re
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify 1 into 1
9.054 * [backup-simplify]: Simplify (/ 1 1) into 1
9.054 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.054 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.054 * [taylor]: Taking taylor expansion of im in re
9.054 * [backup-simplify]: Simplify im into im
9.054 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.054 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.054 * [taylor]: Taking taylor expansion of im in re
9.054 * [backup-simplify]: Simplify im into im
9.054 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.054 * [backup-simplify]: Simplify (* 1 1) into 1
9.055 * [backup-simplify]: Simplify (+ 1 0) into 1
9.055 * [backup-simplify]: Simplify (sqrt 1) into 1
9.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.058 * [backup-simplify]: Simplify (+ 0 0) into 0
9.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.059 * [backup-simplify]: Simplify (sqrt 0) into 0
9.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.061 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.061 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.061 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.061 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.061 * [taylor]: Taking taylor expansion of re in re
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify 1 into 1
9.061 * [backup-simplify]: Simplify (/ 1 1) into 1
9.062 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.062 * [taylor]: Taking taylor expansion of re in re
9.062 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify 1 into 1
9.062 * [backup-simplify]: Simplify (/ 1 1) into 1
9.062 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.062 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.062 * [taylor]: Taking taylor expansion of im in re
9.062 * [backup-simplify]: Simplify im into im
9.062 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.062 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.062 * [taylor]: Taking taylor expansion of im in re
9.062 * [backup-simplify]: Simplify im into im
9.062 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.063 * [backup-simplify]: Simplify (* 1 1) into 1
9.063 * [backup-simplify]: Simplify (+ 1 0) into 1
9.064 * [backup-simplify]: Simplify (sqrt 1) into 1
9.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.066 * [backup-simplify]: Simplify (+ 0 0) into 0
9.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.067 * [backup-simplify]: Simplify (sqrt 0) into 0
9.069 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.069 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.069 * [taylor]: Taking taylor expansion of re in re
9.069 * [backup-simplify]: Simplify 0 into 0
9.069 * [backup-simplify]: Simplify 1 into 1
9.069 * [backup-simplify]: Simplify (/ 1 1) into 1
9.070 * [backup-simplify]: Simplify (* 0 0) into 0
9.070 * [backup-simplify]: Simplify (+ 0 0) into 0
9.071 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.071 * [backup-simplify]: Simplify (+ 0 1) into 1
9.072 * [backup-simplify]: Simplify (sqrt 0) into 0
9.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
9.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.073 * [taylor]: Taking taylor expansion of 2.0 in re
9.073 * [backup-simplify]: Simplify 2.0 into 2.0
9.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.075 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
9.075 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
9.075 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
9.075 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
9.075 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.075 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.075 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.075 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.075 * [taylor]: Taking taylor expansion of re in re
9.075 * [backup-simplify]: Simplify 0 into 0
9.075 * [backup-simplify]: Simplify 1 into 1
9.076 * [backup-simplify]: Simplify (/ 1 1) into 1
9.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.076 * [taylor]: Taking taylor expansion of re in re
9.076 * [backup-simplify]: Simplify 0 into 0
9.076 * [backup-simplify]: Simplify 1 into 1
9.076 * [backup-simplify]: Simplify (/ 1 1) into 1
9.076 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.076 * [taylor]: Taking taylor expansion of im in re
9.076 * [backup-simplify]: Simplify im into im
9.076 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.076 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.076 * [taylor]: Taking taylor expansion of im in re
9.076 * [backup-simplify]: Simplify im into im
9.076 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.077 * [backup-simplify]: Simplify (* 1 1) into 1
9.077 * [backup-simplify]: Simplify (+ 1 0) into 1
9.078 * [backup-simplify]: Simplify (sqrt 1) into 1
9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.080 * [backup-simplify]: Simplify (+ 0 0) into 0
9.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.081 * [backup-simplify]: Simplify (sqrt 0) into 0
9.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.083 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.083 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.083 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.083 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.083 * [taylor]: Taking taylor expansion of re in re
9.083 * [backup-simplify]: Simplify 0 into 0
9.083 * [backup-simplify]: Simplify 1 into 1
9.084 * [backup-simplify]: Simplify (/ 1 1) into 1
9.084 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.084 * [taylor]: Taking taylor expansion of re in re
9.084 * [backup-simplify]: Simplify 0 into 0
9.084 * [backup-simplify]: Simplify 1 into 1
9.084 * [backup-simplify]: Simplify (/ 1 1) into 1
9.084 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.084 * [taylor]: Taking taylor expansion of im in re
9.084 * [backup-simplify]: Simplify im into im
9.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.084 * [taylor]: Taking taylor expansion of im in re
9.084 * [backup-simplify]: Simplify im into im
9.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.085 * [backup-simplify]: Simplify (* 1 1) into 1
9.085 * [backup-simplify]: Simplify (+ 1 0) into 1
9.086 * [backup-simplify]: Simplify (sqrt 1) into 1
9.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.088 * [backup-simplify]: Simplify (+ 0 0) into 0
9.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.089 * [backup-simplify]: Simplify (sqrt 0) into 0
9.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.091 * [taylor]: Taking taylor expansion of re in re
9.091 * [backup-simplify]: Simplify 0 into 0
9.091 * [backup-simplify]: Simplify 1 into 1
9.091 * [backup-simplify]: Simplify (/ 1 1) into 1
9.091 * [backup-simplify]: Simplify (* 0 0) into 0
9.092 * [backup-simplify]: Simplify (+ 0 0) into 0
9.092 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.093 * [backup-simplify]: Simplify (+ 0 1) into 1
9.093 * [backup-simplify]: Simplify (sqrt 0) into 0
9.095 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.095 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.095 * [taylor]: Taking taylor expansion of 0 in im
9.095 * [backup-simplify]: Simplify 0 into 0
9.095 * [backup-simplify]: Simplify 0 into 0
9.097 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
9.097 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.098 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.098 * [taylor]: Taking taylor expansion of +nan.0 in im
9.098 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.098 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.098 * [taylor]: Taking taylor expansion of 2.0 in im
9.098 * [backup-simplify]: Simplify 2.0 into 2.0
9.098 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.100 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.101 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.103 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.103 * [backup-simplify]: Simplify 0 into 0
9.106 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.109 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.112 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.113 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.117 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.122 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
9.122 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.122 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.122 * [taylor]: Taking taylor expansion of +nan.0 in im
9.122 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.122 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.122 * [taylor]: Taking taylor expansion of 2.0 in im
9.122 * [backup-simplify]: Simplify 2.0 into 2.0
9.122 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.124 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.126 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.127 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.128 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.129 * [backup-simplify]: Simplify (- 0) into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.132 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.136 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.140 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.140 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.141 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.143 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.144 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
9.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.146 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.151 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.156 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
9.156 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.156 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.156 * [taylor]: Taking taylor expansion of +nan.0 in im
9.156 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.156 * [taylor]: Taking taylor expansion of 2.0 in im
9.156 * [backup-simplify]: Simplify 2.0 into 2.0
9.156 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.158 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.159 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.161 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.166 * [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))))))))
9.168 * [backup-simplify]: Simplify (* (* (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re)))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))))
9.168 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in (re im) around 0
9.168 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in im
9.168 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.168 * [taylor]: Taking taylor expansion of 2.0 in im
9.168 * [backup-simplify]: Simplify 2.0 into 2.0
9.169 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.170 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im
9.170 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
9.170 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
9.170 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
9.170 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
9.170 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.170 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.170 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.170 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.170 * [taylor]: Taking taylor expansion of -1 in im
9.170 * [backup-simplify]: Simplify -1 into -1
9.170 * [taylor]: Taking taylor expansion of re in im
9.170 * [backup-simplify]: Simplify re into re
9.170 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.170 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.170 * [taylor]: Taking taylor expansion of -1 in im
9.170 * [backup-simplify]: Simplify -1 into -1
9.170 * [taylor]: Taking taylor expansion of re in im
9.170 * [backup-simplify]: Simplify re into re
9.170 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.170 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.171 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.171 * [taylor]: Taking taylor expansion of -1 in im
9.171 * [backup-simplify]: Simplify -1 into -1
9.171 * [taylor]: Taking taylor expansion of im in im
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify 1 into 1
9.171 * [backup-simplify]: Simplify (/ -1 1) into -1
9.171 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.171 * [taylor]: Taking taylor expansion of -1 in im
9.171 * [backup-simplify]: Simplify -1 into -1
9.171 * [taylor]: Taking taylor expansion of im in im
9.171 * [backup-simplify]: Simplify 0 into 0
9.171 * [backup-simplify]: Simplify 1 into 1
9.171 * [backup-simplify]: Simplify (/ -1 1) into -1
9.172 * [backup-simplify]: Simplify (* -1 -1) into 1
9.172 * [backup-simplify]: Simplify (+ 0 1) into 1
9.172 * [backup-simplify]: Simplify (sqrt 1) into 1
9.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.174 * [backup-simplify]: Simplify (+ 0 0) into 0
9.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.174 * [backup-simplify]: Simplify (sqrt 0) into 0
9.175 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.175 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
9.175 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.175 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.175 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.175 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.175 * [taylor]: Taking taylor expansion of -1 in im
9.175 * [backup-simplify]: Simplify -1 into -1
9.176 * [taylor]: Taking taylor expansion of re in im
9.176 * [backup-simplify]: Simplify re into re
9.176 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.176 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.176 * [taylor]: Taking taylor expansion of -1 in im
9.176 * [backup-simplify]: Simplify -1 into -1
9.176 * [taylor]: Taking taylor expansion of re in im
9.176 * [backup-simplify]: Simplify re into re
9.176 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.176 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.176 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.176 * [taylor]: Taking taylor expansion of -1 in im
9.176 * [backup-simplify]: Simplify -1 into -1
9.176 * [taylor]: Taking taylor expansion of im in im
9.176 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify 1 into 1
9.178 * [backup-simplify]: Simplify (/ -1 1) into -1
9.178 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.178 * [taylor]: Taking taylor expansion of -1 in im
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of im in im
9.178 * [backup-simplify]: Simplify 0 into 0
9.178 * [backup-simplify]: Simplify 1 into 1
9.178 * [backup-simplify]: Simplify (/ -1 1) into -1
9.179 * [backup-simplify]: Simplify (* -1 -1) into 1
9.179 * [backup-simplify]: Simplify (+ 0 1) into 1
9.179 * [backup-simplify]: Simplify (sqrt 1) into 1
9.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.181 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.181 * [backup-simplify]: Simplify (+ 0 0) into 0
9.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.181 * [backup-simplify]: Simplify (sqrt 0) into 0
9.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.182 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.182 * [taylor]: Taking taylor expansion of -1 in im
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of re in im
9.182 * [backup-simplify]: Simplify re into re
9.183 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.183 * [backup-simplify]: Simplify (* 0 0) into 0
9.183 * [backup-simplify]: Simplify (+ 0 0) into 0
9.183 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.184 * [backup-simplify]: Simplify (+ 0 0) into 0
9.185 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.187 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.189 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.189 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0)))
9.189 * [backup-simplify]: Simplify (sqrt (- (+ (/ 1 re) (- +nan.0)))) into (sqrt (- (+ (/ 1 re) (- +nan.0))))
9.189 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
9.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.191 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.191 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.192 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.194 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.194 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
9.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.195 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.195 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.198 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.198 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
9.198 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
9.199 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.199 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (/ 1 re) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (/ 1 re) (- +nan.0)))))
9.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re
9.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.200 * [taylor]: Taking taylor expansion of 2.0 in re
9.200 * [backup-simplify]: Simplify 2.0 into 2.0
9.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.200 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re
9.200 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
9.200 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
9.200 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
9.200 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.201 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.201 * [taylor]: Taking taylor expansion of -1 in re
9.201 * [backup-simplify]: Simplify -1 into -1
9.201 * [taylor]: Taking taylor expansion of re in re
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [backup-simplify]: Simplify 1 into 1
9.201 * [backup-simplify]: Simplify (/ -1 1) into -1
9.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.201 * [taylor]: Taking taylor expansion of -1 in re
9.201 * [backup-simplify]: Simplify -1 into -1
9.201 * [taylor]: Taking taylor expansion of re in re
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [backup-simplify]: Simplify 1 into 1
9.201 * [backup-simplify]: Simplify (/ -1 1) into -1
9.201 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.201 * [taylor]: Taking taylor expansion of -1 in re
9.201 * [backup-simplify]: Simplify -1 into -1
9.201 * [taylor]: Taking taylor expansion of im in re
9.201 * [backup-simplify]: Simplify im into im
9.201 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.201 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.201 * [taylor]: Taking taylor expansion of -1 in re
9.202 * [backup-simplify]: Simplify -1 into -1
9.202 * [taylor]: Taking taylor expansion of im in re
9.202 * [backup-simplify]: Simplify im into im
9.202 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.202 * [backup-simplify]: Simplify (* -1 -1) into 1
9.202 * [backup-simplify]: Simplify (+ 1 0) into 1
9.202 * [backup-simplify]: Simplify (sqrt 1) into 1
9.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.205 * [backup-simplify]: Simplify (+ 0 0) into 0
9.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.206 * [backup-simplify]: Simplify (sqrt 0) into 0
9.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.207 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.207 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.207 * [taylor]: Taking taylor expansion of -1 in re
9.207 * [backup-simplify]: Simplify -1 into -1
9.207 * [taylor]: Taking taylor expansion of re in re
9.207 * [backup-simplify]: Simplify 0 into 0
9.207 * [backup-simplify]: Simplify 1 into 1
9.208 * [backup-simplify]: Simplify (/ -1 1) into -1
9.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.208 * [taylor]: Taking taylor expansion of -1 in re
9.208 * [backup-simplify]: Simplify -1 into -1
9.208 * [taylor]: Taking taylor expansion of re in re
9.208 * [backup-simplify]: Simplify 0 into 0
9.208 * [backup-simplify]: Simplify 1 into 1
9.208 * [backup-simplify]: Simplify (/ -1 1) into -1
9.208 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.208 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.208 * [taylor]: Taking taylor expansion of -1 in re
9.208 * [backup-simplify]: Simplify -1 into -1
9.208 * [taylor]: Taking taylor expansion of im in re
9.208 * [backup-simplify]: Simplify im into im
9.208 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.208 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.208 * [taylor]: Taking taylor expansion of -1 in re
9.208 * [backup-simplify]: Simplify -1 into -1
9.208 * [taylor]: Taking taylor expansion of im in re
9.208 * [backup-simplify]: Simplify im into im
9.208 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.208 * [backup-simplify]: Simplify (* -1 -1) into 1
9.209 * [backup-simplify]: Simplify (+ 1 0) into 1
9.209 * [backup-simplify]: Simplify (sqrt 1) into 1
9.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.210 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.211 * [backup-simplify]: Simplify (+ 0 0) into 0
9.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.211 * [backup-simplify]: Simplify (sqrt 0) into 0
9.212 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.212 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.212 * [taylor]: Taking taylor expansion of -1 in re
9.212 * [backup-simplify]: Simplify -1 into -1
9.212 * [taylor]: Taking taylor expansion of re in re
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 1 into 1
9.212 * [backup-simplify]: Simplify (/ -1 1) into -1
9.213 * [backup-simplify]: Simplify (* 0 0) into 0
9.213 * [backup-simplify]: Simplify (+ 0 0) into 0
9.213 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.214 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.214 * [backup-simplify]: Simplify (sqrt 0) into 0
9.215 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re
9.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.215 * [taylor]: Taking taylor expansion of 2.0 in re
9.215 * [backup-simplify]: Simplify 2.0 into 2.0
9.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.216 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re
9.216 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
9.216 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
9.216 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
9.216 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.216 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.216 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.216 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.216 * [taylor]: Taking taylor expansion of -1 in re
9.216 * [backup-simplify]: Simplify -1 into -1
9.216 * [taylor]: Taking taylor expansion of re in re
9.216 * [backup-simplify]: Simplify 0 into 0
9.216 * [backup-simplify]: Simplify 1 into 1
9.216 * [backup-simplify]: Simplify (/ -1 1) into -1
9.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.216 * [taylor]: Taking taylor expansion of -1 in re
9.216 * [backup-simplify]: Simplify -1 into -1
9.216 * [taylor]: Taking taylor expansion of re in re
9.216 * [backup-simplify]: Simplify 0 into 0
9.216 * [backup-simplify]: Simplify 1 into 1
9.217 * [backup-simplify]: Simplify (/ -1 1) into -1
9.217 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.217 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.217 * [taylor]: Taking taylor expansion of -1 in re
9.217 * [backup-simplify]: Simplify -1 into -1
9.217 * [taylor]: Taking taylor expansion of im in re
9.217 * [backup-simplify]: Simplify im into im
9.217 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.217 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.217 * [taylor]: Taking taylor expansion of -1 in re
9.217 * [backup-simplify]: Simplify -1 into -1
9.217 * [taylor]: Taking taylor expansion of im in re
9.217 * [backup-simplify]: Simplify im into im
9.217 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.217 * [backup-simplify]: Simplify (* -1 -1) into 1
9.217 * [backup-simplify]: Simplify (+ 1 0) into 1
9.218 * [backup-simplify]: Simplify (sqrt 1) into 1
9.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.219 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.219 * [backup-simplify]: Simplify (+ 0 0) into 0
9.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.220 * [backup-simplify]: Simplify (sqrt 0) into 0
9.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.221 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.221 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.221 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.221 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.221 * [taylor]: Taking taylor expansion of -1 in re
9.221 * [backup-simplify]: Simplify -1 into -1
9.221 * [taylor]: Taking taylor expansion of re in re
9.221 * [backup-simplify]: Simplify 0 into 0
9.221 * [backup-simplify]: Simplify 1 into 1
9.221 * [backup-simplify]: Simplify (/ -1 1) into -1
9.221 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.221 * [taylor]: Taking taylor expansion of -1 in re
9.221 * [backup-simplify]: Simplify -1 into -1
9.221 * [taylor]: Taking taylor expansion of re in re
9.221 * [backup-simplify]: Simplify 0 into 0
9.221 * [backup-simplify]: Simplify 1 into 1
9.221 * [backup-simplify]: Simplify (/ -1 1) into -1
9.221 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.222 * [taylor]: Taking taylor expansion of -1 in re
9.222 * [backup-simplify]: Simplify -1 into -1
9.222 * [taylor]: Taking taylor expansion of im in re
9.222 * [backup-simplify]: Simplify im into im
9.222 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.222 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.222 * [taylor]: Taking taylor expansion of -1 in re
9.222 * [backup-simplify]: Simplify -1 into -1
9.222 * [taylor]: Taking taylor expansion of im in re
9.222 * [backup-simplify]: Simplify im into im
9.222 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.222 * [backup-simplify]: Simplify (* -1 -1) into 1
9.222 * [backup-simplify]: Simplify (+ 1 0) into 1
9.222 * [backup-simplify]: Simplify (sqrt 1) into 1
9.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.224 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.224 * [backup-simplify]: Simplify (+ 0 0) into 0
9.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.225 * [backup-simplify]: Simplify (sqrt 0) into 0
9.225 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.225 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.226 * [taylor]: Taking taylor expansion of -1 in re
9.226 * [backup-simplify]: Simplify -1 into -1
9.226 * [taylor]: Taking taylor expansion of re in re
9.226 * [backup-simplify]: Simplify 0 into 0
9.226 * [backup-simplify]: Simplify 1 into 1
9.226 * [backup-simplify]: Simplify (/ -1 1) into -1
9.226 * [backup-simplify]: Simplify (* 0 0) into 0
9.226 * [backup-simplify]: Simplify (+ 0 0) into 0
9.227 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.227 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.227 * [backup-simplify]: Simplify (sqrt 0) into 0
9.228 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
9.228 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.228 * [taylor]: Taking taylor expansion of 0 in im
9.228 * [backup-simplify]: Simplify 0 into 0
9.228 * [backup-simplify]: Simplify 0 into 0
9.230 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
9.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.230 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.230 * [taylor]: Taking taylor expansion of +nan.0 in im
9.230 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.230 * [taylor]: Taking taylor expansion of 2.0 in im
9.230 * [backup-simplify]: Simplify 2.0 into 2.0
9.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.231 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.232 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.233 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.233 * [backup-simplify]: Simplify 0 into 0
9.235 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.237 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.238 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.239 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.241 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.242 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.243 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
9.243 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.243 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.243 * [taylor]: Taking taylor expansion of +nan.0 in im
9.243 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.243 * [taylor]: Taking taylor expansion of 2.0 in im
9.243 * [backup-simplify]: Simplify 2.0 into 2.0
9.244 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.245 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.245 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.246 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.247 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.247 * [backup-simplify]: Simplify (- 0) into 0
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.249 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.249 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.251 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.253 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.253 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.255 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.256 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
9.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.257 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.260 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
9.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.262 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
9.262 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
9.262 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.262 * [taylor]: Taking taylor expansion of +nan.0 in im
9.262 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.262 * [taylor]: Taking taylor expansion of 2.0 in im
9.262 * [backup-simplify]: Simplify 2.0 into 2.0
9.262 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.263 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.266 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.267 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.270 * [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))))))))
9.270 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1)
9.270 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) into (sqrt (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))
9.270 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in (re im) around 0
9.270 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in im
9.271 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im
9.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.271 * [taylor]: Taking taylor expansion of 2.0 in im
9.271 * [backup-simplify]: Simplify 2.0 into 2.0
9.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.271 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
9.271 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
9.271 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
9.271 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
9.271 * [taylor]: Taking taylor expansion of (hypot re im) in im
9.272 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.272 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
9.272 * [taylor]: Taking taylor expansion of (* re re) in im
9.272 * [taylor]: Taking taylor expansion of re in im
9.272 * [backup-simplify]: Simplify re into re
9.272 * [taylor]: Taking taylor expansion of re in im
9.272 * [backup-simplify]: Simplify re into re
9.272 * [taylor]: Taking taylor expansion of (* im im) in im
9.272 * [taylor]: Taking taylor expansion of im in im
9.272 * [backup-simplify]: Simplify 0 into 0
9.272 * [backup-simplify]: Simplify 1 into 1
9.272 * [taylor]: Taking taylor expansion of im in im
9.272 * [backup-simplify]: Simplify 0 into 0
9.272 * [backup-simplify]: Simplify 1 into 1
9.272 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.272 * [backup-simplify]: Simplify (* 0 0) into 0
9.272 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.272 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.272 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.273 * [backup-simplify]: Simplify (+ 0 0) into 0
9.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.273 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
9.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
9.273 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
9.273 * [taylor]: Taking taylor expansion of (hypot re im) in im
9.273 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.273 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
9.273 * [taylor]: Taking taylor expansion of (* re re) in im
9.273 * [taylor]: Taking taylor expansion of re in im
9.273 * [backup-simplify]: Simplify re into re
9.273 * [taylor]: Taking taylor expansion of re in im
9.273 * [backup-simplify]: Simplify re into re
9.273 * [taylor]: Taking taylor expansion of (* im im) in im
9.273 * [taylor]: Taking taylor expansion of im in im
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify 1 into 1
9.273 * [taylor]: Taking taylor expansion of im in im
9.273 * [backup-simplify]: Simplify 0 into 0
9.273 * [backup-simplify]: Simplify 1 into 1
9.273 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.274 * [backup-simplify]: Simplify (* 0 0) into 0
9.274 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.274 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.274 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.274 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.275 * [backup-simplify]: Simplify (+ 0 0) into 0
9.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.275 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
9.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
9.275 * [taylor]: Taking taylor expansion of re in im
9.275 * [backup-simplify]: Simplify re into re
9.275 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re
9.275 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
9.275 * [backup-simplify]: Simplify (* (sqrt 2.0) (* 2 re)) into (* 2 (* (sqrt 2.0) re))
9.275 * [backup-simplify]: Simplify (sqrt (* 2 (* (sqrt 2.0) re))) into (* (sqrt (* (sqrt 2.0) re)) (sqrt 2))
9.275 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
9.276 * [backup-simplify]: Simplify (+ 0 0) into 0
9.276 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (* 2 re))) into 0
9.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (* (sqrt 2.0) re))))) into 0
9.276 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re
9.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re
9.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.276 * [taylor]: Taking taylor expansion of 2.0 in re
9.277 * [backup-simplify]: Simplify 2.0 into 2.0
9.277 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.277 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
9.277 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
9.277 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
9.277 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
9.277 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.277 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.277 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.277 * [taylor]: Taking taylor expansion of (* re re) in re
9.277 * [taylor]: Taking taylor expansion of re in re
9.277 * [backup-simplify]: Simplify 0 into 0
9.277 * [backup-simplify]: Simplify 1 into 1
9.278 * [taylor]: Taking taylor expansion of re in re
9.278 * [backup-simplify]: Simplify 0 into 0
9.278 * [backup-simplify]: Simplify 1 into 1
9.278 * [taylor]: Taking taylor expansion of (* im im) in re
9.278 * [taylor]: Taking taylor expansion of im in re
9.278 * [backup-simplify]: Simplify im into im
9.278 * [taylor]: Taking taylor expansion of im in re
9.278 * [backup-simplify]: Simplify im into im
9.278 * [backup-simplify]: Simplify (* 0 0) into 0
9.278 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.278 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.278 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.278 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.279 * [backup-simplify]: Simplify (+ 0 0) into 0
9.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.279 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
9.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
9.279 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
9.279 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.279 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.279 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.279 * [taylor]: Taking taylor expansion of (* re re) in re
9.279 * [taylor]: Taking taylor expansion of re in re
9.279 * [backup-simplify]: Simplify 0 into 0
9.279 * [backup-simplify]: Simplify 1 into 1
9.279 * [taylor]: Taking taylor expansion of re in re
9.279 * [backup-simplify]: Simplify 0 into 0
9.279 * [backup-simplify]: Simplify 1 into 1
9.279 * [taylor]: Taking taylor expansion of (* im im) in re
9.279 * [taylor]: Taking taylor expansion of im in re
9.279 * [backup-simplify]: Simplify im into im
9.279 * [taylor]: Taking taylor expansion of im in re
9.279 * [backup-simplify]: Simplify im into im
9.280 * [backup-simplify]: Simplify (* 0 0) into 0
9.280 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.280 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.280 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.280 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.280 * [backup-simplify]: Simplify (+ 0 0) into 0
9.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.281 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
9.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
9.281 * [taylor]: Taking taylor expansion of re in re
9.281 * [backup-simplify]: Simplify 0 into 0
9.281 * [backup-simplify]: Simplify 1 into 1
9.281 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
9.281 * [backup-simplify]: Simplify (+ im 0) into im
9.281 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
9.281 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im))
9.281 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
9.282 * [backup-simplify]: Simplify (+ 0 1) into 1
9.282 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 im)) into (sqrt 2.0)
9.283 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im)))
9.283 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re
9.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re
9.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.283 * [taylor]: Taking taylor expansion of 2.0 in re
9.283 * [backup-simplify]: Simplify 2.0 into 2.0
9.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.284 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
9.284 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
9.284 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
9.284 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
9.284 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.284 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.284 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.284 * [taylor]: Taking taylor expansion of (* re re) in re
9.284 * [taylor]: Taking taylor expansion of re in re
9.284 * [backup-simplify]: Simplify 0 into 0
9.284 * [backup-simplify]: Simplify 1 into 1
9.285 * [taylor]: Taking taylor expansion of re in re
9.285 * [backup-simplify]: Simplify 0 into 0
9.285 * [backup-simplify]: Simplify 1 into 1
9.285 * [taylor]: Taking taylor expansion of (* im im) in re
9.285 * [taylor]: Taking taylor expansion of im in re
9.285 * [backup-simplify]: Simplify im into im
9.285 * [taylor]: Taking taylor expansion of im in re
9.285 * [backup-simplify]: Simplify im into im
9.285 * [backup-simplify]: Simplify (* 0 0) into 0
9.285 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.286 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.286 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.287 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.287 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.287 * [backup-simplify]: Simplify (+ 0 0) into 0
9.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.287 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
9.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
9.287 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
9.287 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.288 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.288 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.288 * [taylor]: Taking taylor expansion of (* re re) in re
9.288 * [taylor]: Taking taylor expansion of re in re
9.288 * [backup-simplify]: Simplify 0 into 0
9.288 * [backup-simplify]: Simplify 1 into 1
9.288 * [taylor]: Taking taylor expansion of re in re
9.288 * [backup-simplify]: Simplify 0 into 0
9.288 * [backup-simplify]: Simplify 1 into 1
9.288 * [taylor]: Taking taylor expansion of (* im im) in re
9.288 * [taylor]: Taking taylor expansion of im in re
9.288 * [backup-simplify]: Simplify im into im
9.288 * [taylor]: Taking taylor expansion of im in re
9.288 * [backup-simplify]: Simplify im into im
9.288 * [backup-simplify]: Simplify (* 0 0) into 0
9.288 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.289 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.289 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.289 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.289 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.290 * [backup-simplify]: Simplify (+ 0 0) into 0
9.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.290 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
9.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
9.290 * [taylor]: Taking taylor expansion of re in re
9.290 * [backup-simplify]: Simplify 0 into 0
9.290 * [backup-simplify]: Simplify 1 into 1
9.290 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
9.290 * [backup-simplify]: Simplify (+ im 0) into im
9.291 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im)
9.291 * [backup-simplify]: Simplify (sqrt (* (sqrt 2.0) im)) into (sqrt (* (sqrt 2.0) im))
9.291 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
9.292 * [backup-simplify]: Simplify (+ 0 1) into 1
9.293 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 im)) into (sqrt 2.0)
9.293 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/2 (sqrt (/ (sqrt 2.0) im)))
9.293 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) im)) in im
9.293 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im
9.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.293 * [taylor]: Taking taylor expansion of 2.0 in im
9.293 * [backup-simplify]: Simplify 2.0 into 2.0
9.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.294 * [taylor]: Taking taylor expansion of im in im
9.294 * [backup-simplify]: Simplify 0 into 0
9.294 * [backup-simplify]: Simplify 1 into 1
9.294 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.296 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
9.296 * [backup-simplify]: Simplify (sqrt 0) into 0
9.297 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.297 * [backup-simplify]: Simplify 0 into 0
9.297 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ (sqrt 2.0) im))) in im
9.297 * [taylor]: Taking taylor expansion of 1/2 in im
9.297 * [backup-simplify]: Simplify 1/2 into 1/2
9.297 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) im)) in im
9.297 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im
9.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.297 * [taylor]: Taking taylor expansion of 2.0 in im
9.297 * [backup-simplify]: Simplify 2.0 into 2.0
9.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.298 * [taylor]: Taking taylor expansion of im in im
9.298 * [backup-simplify]: Simplify 0 into 0
9.298 * [backup-simplify]: Simplify 1 into 1
9.299 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
9.299 * [backup-simplify]: Simplify (sqrt 0) into 0
9.300 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.302 * [backup-simplify]: Simplify (+ (* 1/2 (* +nan.0 (sqrt 2.0))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
9.303 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
9.303 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.304 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.304 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.304 * [backup-simplify]: Simplify (+ 1 0) into 1
9.305 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.305 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
9.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.306 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.306 * [backup-simplify]: Simplify (+ 1 0) into 1
9.307 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.307 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
9.308 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im))
9.308 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
9.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (/ 1 im))) (+ (* 0 1) (* 0 im))) into (* 1/2 (/ (sqrt 2.0) im))
9.310 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ (sqrt 2.0) im)) (pow (* 1/2 (sqrt (/ (sqrt 2.0) im))) 2) (+)) (* 2 (sqrt (* (sqrt 2.0) im)))) into (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3))))
9.310 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ (sqrt 2.0) (pow im 3)))) in im
9.310 * [taylor]: Taking taylor expansion of 1/8 in im
9.311 * [backup-simplify]: Simplify 1/8 into 1/8
9.311 * [taylor]: Taking taylor expansion of (sqrt (/ (sqrt 2.0) (pow im 3))) in im
9.311 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 3)) in im
9.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.311 * [taylor]: Taking taylor expansion of 2.0 in im
9.311 * [backup-simplify]: Simplify 2.0 into 2.0
9.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.311 * [taylor]: Taking taylor expansion of (pow im 3) in im
9.311 * [taylor]: Taking taylor expansion of im in im
9.311 * [backup-simplify]: Simplify 0 into 0
9.311 * [backup-simplify]: Simplify 1 into 1
9.312 * [backup-simplify]: Simplify (* 1 1) into 1
9.312 * [backup-simplify]: Simplify (* 1 1) into 1
9.312 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
9.313 * [backup-simplify]: Simplify (sqrt 0) into 0
9.314 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
9.318 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (pow (sqrt 2.0) 2))
9.321 * [backup-simplify]: Simplify (+ (* 1/8 (* +nan.0 (pow (sqrt 2.0) 2))) (+ (* 0 (* +nan.0 (sqrt 2.0))) (* 0 0))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
9.322 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
9.326 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 2.0) 2))) (pow (* 1 re) 2)) (+ (* (* +nan.0 (sqrt 2.0)) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
9.326 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) (sqrt (sqrt 2.0))) into (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))))
9.326 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0
9.326 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im
9.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im
9.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.326 * [taylor]: Taking taylor expansion of 2.0 in im
9.326 * [backup-simplify]: Simplify 2.0 into 2.0
9.327 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.327 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
9.327 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
9.327 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
9.327 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
9.327 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.327 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.327 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.327 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.327 * [taylor]: Taking taylor expansion of re in im
9.327 * [backup-simplify]: Simplify re into re
9.327 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.328 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.328 * [taylor]: Taking taylor expansion of re in im
9.328 * [backup-simplify]: Simplify re into re
9.328 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.328 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.328 * [taylor]: Taking taylor expansion of im in im
9.328 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify 1 into 1
9.328 * [backup-simplify]: Simplify (/ 1 1) into 1
9.328 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.328 * [taylor]: Taking taylor expansion of im in im
9.328 * [backup-simplify]: Simplify 0 into 0
9.328 * [backup-simplify]: Simplify 1 into 1
9.328 * [backup-simplify]: Simplify (/ 1 1) into 1
9.328 * [backup-simplify]: Simplify (* 1 1) into 1
9.329 * [backup-simplify]: Simplify (+ 0 1) into 1
9.329 * [backup-simplify]: Simplify (sqrt 1) into 1
9.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.330 * [backup-simplify]: Simplify (+ 0 0) into 0
9.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.331 * [backup-simplify]: Simplify (sqrt 0) into 0
9.332 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.332 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
9.332 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.332 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.332 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.332 * [taylor]: Taking taylor expansion of re in im
9.332 * [backup-simplify]: Simplify re into re
9.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.332 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.332 * [taylor]: Taking taylor expansion of re in im
9.332 * [backup-simplify]: Simplify re into re
9.332 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.332 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.332 * [taylor]: Taking taylor expansion of im in im
9.332 * [backup-simplify]: Simplify 0 into 0
9.332 * [backup-simplify]: Simplify 1 into 1
9.333 * [backup-simplify]: Simplify (/ 1 1) into 1
9.333 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.333 * [taylor]: Taking taylor expansion of im in im
9.333 * [backup-simplify]: Simplify 0 into 0
9.333 * [backup-simplify]: Simplify 1 into 1
9.333 * [backup-simplify]: Simplify (/ 1 1) into 1
9.333 * [backup-simplify]: Simplify (* 1 1) into 1
9.333 * [backup-simplify]: Simplify (+ 0 1) into 1
9.334 * [backup-simplify]: Simplify (sqrt 1) into 1
9.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.335 * [backup-simplify]: Simplify (+ 0 0) into 0
9.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.336 * [backup-simplify]: Simplify (sqrt 0) into 0
9.336 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.337 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.337 * [taylor]: Taking taylor expansion of re in im
9.337 * [backup-simplify]: Simplify re into re
9.337 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.337 * [backup-simplify]: Simplify (* 0 0) into 0
9.337 * [backup-simplify]: Simplify (+ 0 0) into 0
9.337 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.338 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.338 * [backup-simplify]: Simplify (+ 0 0) into 0
9.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0
9.340 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.343 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.344 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0)
9.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- (/ 1 re) +nan.0)) (+ (* 0 0) (* 0 0))) into (- (/ (sqrt 2.0) re) (* +nan.0 (sqrt 2.0)))
9.346 * [backup-simplify]: Simplify (sqrt (- (/ (sqrt 2.0) re) (* +nan.0 (sqrt 2.0)))) into (sqrt (- (/ (sqrt 2.0) re) (* +nan.0 (sqrt 2.0))))
9.346 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
9.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.348 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.349 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.350 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.350 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
9.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.352 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.353 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.355 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.357 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
9.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.358 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.363 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- +nan.0)) (+ (* 0 (- (/ 1 re) +nan.0)) (+ (* 0 0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
9.366 * [backup-simplify]: Simplify (/ (- (* +nan.0 (sqrt 2.0))) (* 2 (sqrt (- (/ (sqrt 2.0) re) (* +nan.0 (sqrt 2.0)))))) into (* +nan.0 (* (sqrt 2.0) (sqrt (/ 1 (- (/ (sqrt 2.0) re) (* +nan.0 (sqrt 2.0)))))))
9.366 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
9.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
9.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.366 * [taylor]: Taking taylor expansion of 2.0 in re
9.366 * [backup-simplify]: Simplify 2.0 into 2.0
9.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.368 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
9.368 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
9.368 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
9.368 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.368 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.368 * [taylor]: Taking taylor expansion of re in re
9.368 * [backup-simplify]: Simplify 0 into 0
9.368 * [backup-simplify]: Simplify 1 into 1
9.369 * [backup-simplify]: Simplify (/ 1 1) into 1
9.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.369 * [taylor]: Taking taylor expansion of re in re
9.369 * [backup-simplify]: Simplify 0 into 0
9.369 * [backup-simplify]: Simplify 1 into 1
9.369 * [backup-simplify]: Simplify (/ 1 1) into 1
9.369 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.369 * [taylor]: Taking taylor expansion of im in re
9.369 * [backup-simplify]: Simplify im into im
9.369 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.369 * [taylor]: Taking taylor expansion of im in re
9.369 * [backup-simplify]: Simplify im into im
9.369 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.370 * [backup-simplify]: Simplify (* 1 1) into 1
9.370 * [backup-simplify]: Simplify (+ 1 0) into 1
9.371 * [backup-simplify]: Simplify (sqrt 1) into 1
9.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.373 * [backup-simplify]: Simplify (+ 0 0) into 0
9.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.374 * [backup-simplify]: Simplify (sqrt 0) into 0
9.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.376 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.376 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.376 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.376 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.376 * [taylor]: Taking taylor expansion of re in re
9.376 * [backup-simplify]: Simplify 0 into 0
9.376 * [backup-simplify]: Simplify 1 into 1
9.377 * [backup-simplify]: Simplify (/ 1 1) into 1
9.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.377 * [taylor]: Taking taylor expansion of re in re
9.377 * [backup-simplify]: Simplify 0 into 0
9.377 * [backup-simplify]: Simplify 1 into 1
9.377 * [backup-simplify]: Simplify (/ 1 1) into 1
9.377 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.377 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.377 * [taylor]: Taking taylor expansion of im in re
9.377 * [backup-simplify]: Simplify im into im
9.377 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.377 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.377 * [taylor]: Taking taylor expansion of im in re
9.377 * [backup-simplify]: Simplify im into im
9.378 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.378 * [backup-simplify]: Simplify (* 1 1) into 1
9.379 * [backup-simplify]: Simplify (+ 1 0) into 1
9.379 * [backup-simplify]: Simplify (sqrt 1) into 1
9.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.381 * [backup-simplify]: Simplify (+ 0 0) into 0
9.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.383 * [backup-simplify]: Simplify (sqrt 0) into 0
9.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.384 * [taylor]: Taking taylor expansion of re in re
9.384 * [backup-simplify]: Simplify 0 into 0
9.384 * [backup-simplify]: Simplify 1 into 1
9.384 * [backup-simplify]: Simplify (/ 1 1) into 1
9.385 * [backup-simplify]: Simplify (* 0 0) into 0
9.385 * [backup-simplify]: Simplify (+ 0 0) into 0
9.386 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.386 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.387 * [backup-simplify]: Simplify (+ 0 1) into 1
9.389 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
9.389 * [backup-simplify]: Simplify (sqrt 0) into 0
9.391 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.391 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re
9.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
9.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.391 * [taylor]: Taking taylor expansion of 2.0 in re
9.391 * [backup-simplify]: Simplify 2.0 into 2.0
9.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.392 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
9.392 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
9.392 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
9.392 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.392 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.392 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.392 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.392 * [taylor]: Taking taylor expansion of re in re
9.392 * [backup-simplify]: Simplify 0 into 0
9.392 * [backup-simplify]: Simplify 1 into 1
9.392 * [backup-simplify]: Simplify (/ 1 1) into 1
9.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.392 * [taylor]: Taking taylor expansion of re in re
9.393 * [backup-simplify]: Simplify 0 into 0
9.393 * [backup-simplify]: Simplify 1 into 1
9.393 * [backup-simplify]: Simplify (/ 1 1) into 1
9.393 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.393 * [taylor]: Taking taylor expansion of im in re
9.393 * [backup-simplify]: Simplify im into im
9.393 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.393 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.393 * [taylor]: Taking taylor expansion of im in re
9.393 * [backup-simplify]: Simplify im into im
9.393 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.393 * [backup-simplify]: Simplify (* 1 1) into 1
9.393 * [backup-simplify]: Simplify (+ 1 0) into 1
9.394 * [backup-simplify]: Simplify (sqrt 1) into 1
9.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.395 * [backup-simplify]: Simplify (+ 0 0) into 0
9.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.396 * [backup-simplify]: Simplify (sqrt 0) into 0
9.397 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.397 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
9.397 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.397 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.397 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.397 * [taylor]: Taking taylor expansion of re in re
9.397 * [backup-simplify]: Simplify 0 into 0
9.397 * [backup-simplify]: Simplify 1 into 1
9.397 * [backup-simplify]: Simplify (/ 1 1) into 1
9.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.397 * [taylor]: Taking taylor expansion of re in re
9.397 * [backup-simplify]: Simplify 0 into 0
9.397 * [backup-simplify]: Simplify 1 into 1
9.398 * [backup-simplify]: Simplify (/ 1 1) into 1
9.398 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.398 * [taylor]: Taking taylor expansion of im in re
9.398 * [backup-simplify]: Simplify im into im
9.398 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.398 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.398 * [taylor]: Taking taylor expansion of im in re
9.398 * [backup-simplify]: Simplify im into im
9.398 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.398 * [backup-simplify]: Simplify (* 1 1) into 1
9.398 * [backup-simplify]: Simplify (+ 1 0) into 1
9.399 * [backup-simplify]: Simplify (sqrt 1) into 1
9.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.400 * [backup-simplify]: Simplify (+ 0 0) into 0
9.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.401 * [backup-simplify]: Simplify (sqrt 0) into 0
9.401 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.402 * [taylor]: Taking taylor expansion of re in re
9.402 * [backup-simplify]: Simplify 0 into 0
9.402 * [backup-simplify]: Simplify 1 into 1
9.402 * [backup-simplify]: Simplify (/ 1 1) into 1
9.402 * [backup-simplify]: Simplify (* 0 0) into 0
9.402 * [backup-simplify]: Simplify (+ 0 0) into 0
9.403 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.403 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.403 * [backup-simplify]: Simplify (+ 0 1) into 1
9.404 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0)
9.405 * [backup-simplify]: Simplify (sqrt 0) into 0
9.406 * [backup-simplify]: Simplify (/ (sqrt 2.0) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.406 * [taylor]: Taking taylor expansion of 0 in im
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.406 * [taylor]: Taking taylor expansion of +nan.0 in im
9.406 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.406 * [taylor]: Taking taylor expansion of 2.0 in im
9.406 * [backup-simplify]: Simplify 2.0 into 2.0
9.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.407 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.408 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.408 * [backup-simplify]: Simplify 0 into 0
9.409 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.411 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.413 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.414 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.415 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.416 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- +nan.0)) (+ (* 0 1) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
9.420 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (sqrt 2.0))) (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.420 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))) in im
9.420 * [taylor]: Taking taylor expansion of +nan.0 in im
9.420 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.420 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))) in im
9.420 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.420 * [taylor]: Taking taylor expansion of +nan.0 in im
9.420 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.420 * [taylor]: Taking taylor expansion of 2.0 in im
9.420 * [backup-simplify]: Simplify 2.0 into 2.0
9.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 2))) in im
9.421 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im
9.421 * [taylor]: Taking taylor expansion of +nan.0 in im
9.421 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.421 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
9.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.421 * [taylor]: Taking taylor expansion of 2.0 in im
9.421 * [backup-simplify]: Simplify 2.0 into 2.0
9.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.422 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.423 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
9.425 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
9.427 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
9.432 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.437 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.441 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.441 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.441 * [backup-simplify]: Simplify 0 into 0
9.441 * [backup-simplify]: Simplify 0 into 0
9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.443 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.443 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.444 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.445 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.447 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.447 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.448 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.449 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.450 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
9.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.451 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.454 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 1) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
9.471 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (sqrt 2.0))) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.471 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))))) in im
9.471 * [taylor]: Taking taylor expansion of +nan.0 in im
9.471 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.471 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))) in im
9.471 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.471 * [taylor]: Taking taylor expansion of +nan.0 in im
9.471 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.471 * [taylor]: Taking taylor expansion of 2.0 in im
9.471 * [backup-simplify]: Simplify 2.0 into 2.0
9.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.472 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))) in im
9.473 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))) in im
9.473 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im
9.473 * [taylor]: Taking taylor expansion of +nan.0 in im
9.473 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.473 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
9.473 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.473 * [taylor]: Taking taylor expansion of 2.0 in im
9.473 * [backup-simplify]: Simplify 2.0 into 2.0
9.473 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.474 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 3))) in im
9.474 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
9.474 * [taylor]: Taking taylor expansion of +nan.0 in im
9.474 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.474 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
9.474 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.474 * [taylor]: Taking taylor expansion of 2.0 in im
9.474 * [backup-simplify]: Simplify 2.0 into 2.0
9.474 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.476 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.477 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
9.479 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
9.480 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
9.482 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
9.484 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
9.486 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
9.490 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))
9.495 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))) into (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))
9.501 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.509 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.516 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.526 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))))) (pow (* 1 (/ 1 re)) 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))) (* 1 (/ 1 re))) (* +nan.0 (sqrt 2.0)))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) re)))))))))))))
9.527 * [backup-simplify]: Simplify (* (sqrt (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re)))) (sqrt (sqrt 2.0))) into (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))))
9.527 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in (re im) around 0
9.527 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in im
9.527 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im
9.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.527 * [taylor]: Taking taylor expansion of 2.0 in im
9.527 * [backup-simplify]: Simplify 2.0 into 2.0
9.528 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.528 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
9.528 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
9.528 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
9.528 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
9.528 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.528 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.528 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.528 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.528 * [taylor]: Taking taylor expansion of -1 in im
9.528 * [backup-simplify]: Simplify -1 into -1
9.528 * [taylor]: Taking taylor expansion of re in im
9.528 * [backup-simplify]: Simplify re into re
9.529 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.529 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.529 * [taylor]: Taking taylor expansion of -1 in im
9.529 * [backup-simplify]: Simplify -1 into -1
9.529 * [taylor]: Taking taylor expansion of re in im
9.529 * [backup-simplify]: Simplify re into re
9.529 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.529 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.529 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.529 * [taylor]: Taking taylor expansion of -1 in im
9.529 * [backup-simplify]: Simplify -1 into -1
9.529 * [taylor]: Taking taylor expansion of im in im
9.529 * [backup-simplify]: Simplify 0 into 0
9.529 * [backup-simplify]: Simplify 1 into 1
9.529 * [backup-simplify]: Simplify (/ -1 1) into -1
9.529 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.529 * [taylor]: Taking taylor expansion of -1 in im
9.529 * [backup-simplify]: Simplify -1 into -1
9.529 * [taylor]: Taking taylor expansion of im in im
9.529 * [backup-simplify]: Simplify 0 into 0
9.529 * [backup-simplify]: Simplify 1 into 1
9.529 * [backup-simplify]: Simplify (/ -1 1) into -1
9.530 * [backup-simplify]: Simplify (* -1 -1) into 1
9.530 * [backup-simplify]: Simplify (+ 0 1) into 1
9.530 * [backup-simplify]: Simplify (sqrt 1) into 1
9.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.532 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.532 * [backup-simplify]: Simplify (+ 0 0) into 0
9.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.533 * [backup-simplify]: Simplify (sqrt 0) into 0
9.535 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.535 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
9.535 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.535 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.535 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.535 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.535 * [taylor]: Taking taylor expansion of -1 in im
9.535 * [backup-simplify]: Simplify -1 into -1
9.535 * [taylor]: Taking taylor expansion of re in im
9.535 * [backup-simplify]: Simplify re into re
9.535 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.535 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.535 * [taylor]: Taking taylor expansion of -1 in im
9.535 * [backup-simplify]: Simplify -1 into -1
9.535 * [taylor]: Taking taylor expansion of re in im
9.535 * [backup-simplify]: Simplify re into re
9.535 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.535 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.535 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.535 * [taylor]: Taking taylor expansion of -1 in im
9.535 * [backup-simplify]: Simplify -1 into -1
9.535 * [taylor]: Taking taylor expansion of im in im
9.535 * [backup-simplify]: Simplify 0 into 0
9.535 * [backup-simplify]: Simplify 1 into 1
9.536 * [backup-simplify]: Simplify (/ -1 1) into -1
9.536 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.536 * [taylor]: Taking taylor expansion of -1 in im
9.536 * [backup-simplify]: Simplify -1 into -1
9.536 * [taylor]: Taking taylor expansion of im in im
9.536 * [backup-simplify]: Simplify 0 into 0
9.536 * [backup-simplify]: Simplify 1 into 1
9.537 * [backup-simplify]: Simplify (/ -1 1) into -1
9.537 * [backup-simplify]: Simplify (* -1 -1) into 1
9.537 * [backup-simplify]: Simplify (+ 0 1) into 1
9.538 * [backup-simplify]: Simplify (sqrt 1) into 1
9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.540 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.540 * [backup-simplify]: Simplify (+ 0 0) into 0
9.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.542 * [backup-simplify]: Simplify (sqrt 0) into 0
9.543 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.543 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.543 * [taylor]: Taking taylor expansion of -1 in im
9.543 * [backup-simplify]: Simplify -1 into -1
9.543 * [taylor]: Taking taylor expansion of re in im
9.543 * [backup-simplify]: Simplify re into re
9.543 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.544 * [backup-simplify]: Simplify (* 0 0) into 0
9.544 * [backup-simplify]: Simplify (+ 0 0) into 0
9.544 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.545 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.545 * [backup-simplify]: Simplify (+ 0 0) into 0
9.546 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 0)) into 0
9.550 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.553 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.555 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.556 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0)))
9.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.558 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- (+ (/ 1 re) (- +nan.0)))) (+ (* 0 0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (/ (sqrt 2.0) re)))
9.559 * [backup-simplify]: Simplify (sqrt (- (+ (* +nan.0 (sqrt 2.0)) (/ (sqrt 2.0) re)))) into (sqrt (- (+ (* +nan.0 (sqrt 2.0)) (/ (sqrt 2.0) re))))
9.560 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
9.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.563 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.563 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.564 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.566 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.566 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
9.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.572 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.572 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
9.573 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
9.575 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))
9.576 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0)
9.576 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
9.577 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.579 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- +nan.0)) (+ (* 0 (- (+ (/ 1 re) (- +nan.0)))) (+ (* 0 0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
9.581 * [backup-simplify]: Simplify (/ (- (* +nan.0 (sqrt 2.0))) (* 2 (sqrt (- (+ (* +nan.0 (sqrt 2.0)) (/ (sqrt 2.0) re)))))) into (* +nan.0 (/ (sqrt 2.0) (sqrt (- (+ (* +nan.0 (sqrt 2.0)) (/ (sqrt 2.0) re))))))
9.581 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re
9.581 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re
9.581 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.581 * [taylor]: Taking taylor expansion of 2.0 in re
9.581 * [backup-simplify]: Simplify 2.0 into 2.0
9.581 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.581 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
9.582 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
9.582 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
9.582 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.582 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.582 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.582 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.582 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.582 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.582 * [taylor]: Taking taylor expansion of -1 in re
9.582 * [backup-simplify]: Simplify -1 into -1
9.582 * [taylor]: Taking taylor expansion of re in re
9.582 * [backup-simplify]: Simplify 0 into 0
9.582 * [backup-simplify]: Simplify 1 into 1
9.582 * [backup-simplify]: Simplify (/ -1 1) into -1
9.582 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.582 * [taylor]: Taking taylor expansion of -1 in re
9.582 * [backup-simplify]: Simplify -1 into -1
9.582 * [taylor]: Taking taylor expansion of re in re
9.582 * [backup-simplify]: Simplify 0 into 0
9.582 * [backup-simplify]: Simplify 1 into 1
9.582 * [backup-simplify]: Simplify (/ -1 1) into -1
9.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.582 * [taylor]: Taking taylor expansion of -1 in re
9.582 * [backup-simplify]: Simplify -1 into -1
9.582 * [taylor]: Taking taylor expansion of im in re
9.583 * [backup-simplify]: Simplify im into im
9.583 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.583 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.583 * [taylor]: Taking taylor expansion of -1 in re
9.583 * [backup-simplify]: Simplify -1 into -1
9.583 * [taylor]: Taking taylor expansion of im in re
9.583 * [backup-simplify]: Simplify im into im
9.583 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.583 * [backup-simplify]: Simplify (* -1 -1) into 1
9.583 * [backup-simplify]: Simplify (+ 1 0) into 1
9.583 * [backup-simplify]: Simplify (sqrt 1) into 1
9.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.585 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.585 * [backup-simplify]: Simplify (+ 0 0) into 0
9.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.586 * [backup-simplify]: Simplify (sqrt 0) into 0
9.586 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.586 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.586 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.587 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.587 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.587 * [taylor]: Taking taylor expansion of -1 in re
9.587 * [backup-simplify]: Simplify -1 into -1
9.587 * [taylor]: Taking taylor expansion of re in re
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify 1 into 1
9.587 * [backup-simplify]: Simplify (/ -1 1) into -1
9.587 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.587 * [taylor]: Taking taylor expansion of -1 in re
9.587 * [backup-simplify]: Simplify -1 into -1
9.587 * [taylor]: Taking taylor expansion of re in re
9.587 * [backup-simplify]: Simplify 0 into 0
9.587 * [backup-simplify]: Simplify 1 into 1
9.587 * [backup-simplify]: Simplify (/ -1 1) into -1
9.587 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.587 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.587 * [taylor]: Taking taylor expansion of -1 in re
9.587 * [backup-simplify]: Simplify -1 into -1
9.587 * [taylor]: Taking taylor expansion of im in re
9.587 * [backup-simplify]: Simplify im into im
9.587 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.588 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.588 * [taylor]: Taking taylor expansion of -1 in re
9.588 * [backup-simplify]: Simplify -1 into -1
9.588 * [taylor]: Taking taylor expansion of im in re
9.588 * [backup-simplify]: Simplify im into im
9.588 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.588 * [backup-simplify]: Simplify (* -1 -1) into 1
9.588 * [backup-simplify]: Simplify (+ 1 0) into 1
9.588 * [backup-simplify]: Simplify (sqrt 1) into 1
9.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.590 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.590 * [backup-simplify]: Simplify (+ 0 0) into 0
9.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.591 * [backup-simplify]: Simplify (sqrt 0) into 0
9.591 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.591 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.591 * [taylor]: Taking taylor expansion of -1 in re
9.591 * [backup-simplify]: Simplify -1 into -1
9.591 * [taylor]: Taking taylor expansion of re in re
9.591 * [backup-simplify]: Simplify 0 into 0
9.592 * [backup-simplify]: Simplify 1 into 1
9.592 * [backup-simplify]: Simplify (/ -1 1) into -1
9.592 * [backup-simplify]: Simplify (* 0 0) into 0
9.592 * [backup-simplify]: Simplify (+ 0 0) into 0
9.593 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.593 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.593 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.594 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) -1) (* 0 0)) into (- (sqrt 2.0))
9.595 * [backup-simplify]: Simplify (sqrt 0) into 0
9.596 * [backup-simplify]: Simplify (/ (- (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.596 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re
9.596 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re
9.596 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
9.596 * [taylor]: Taking taylor expansion of 2.0 in re
9.596 * [backup-simplify]: Simplify 2.0 into 2.0
9.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.597 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
9.597 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
9.597 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
9.597 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.597 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.597 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.597 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.597 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.597 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.597 * [taylor]: Taking taylor expansion of -1 in re
9.597 * [backup-simplify]: Simplify -1 into -1
9.597 * [taylor]: Taking taylor expansion of re in re
9.597 * [backup-simplify]: Simplify 0 into 0
9.597 * [backup-simplify]: Simplify 1 into 1
9.598 * [backup-simplify]: Simplify (/ -1 1) into -1
9.598 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.598 * [taylor]: Taking taylor expansion of -1 in re
9.598 * [backup-simplify]: Simplify -1 into -1
9.598 * [taylor]: Taking taylor expansion of re in re
9.598 * [backup-simplify]: Simplify 0 into 0
9.598 * [backup-simplify]: Simplify 1 into 1
9.598 * [backup-simplify]: Simplify (/ -1 1) into -1
9.598 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.598 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.598 * [taylor]: Taking taylor expansion of -1 in re
9.598 * [backup-simplify]: Simplify -1 into -1
9.598 * [taylor]: Taking taylor expansion of im in re
9.598 * [backup-simplify]: Simplify im into im
9.598 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.598 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.598 * [taylor]: Taking taylor expansion of -1 in re
9.598 * [backup-simplify]: Simplify -1 into -1
9.598 * [taylor]: Taking taylor expansion of im in re
9.598 * [backup-simplify]: Simplify im into im
9.598 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.599 * [backup-simplify]: Simplify (* -1 -1) into 1
9.599 * [backup-simplify]: Simplify (+ 1 0) into 1
9.599 * [backup-simplify]: Simplify (sqrt 1) into 1
9.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.600 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.601 * [backup-simplify]: Simplify (+ 0 0) into 0
9.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.601 * [backup-simplify]: Simplify (sqrt 0) into 0
9.602 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.602 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
9.602 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.602 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.602 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.602 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.602 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.602 * [taylor]: Taking taylor expansion of -1 in re
9.602 * [backup-simplify]: Simplify -1 into -1
9.602 * [taylor]: Taking taylor expansion of re in re
9.602 * [backup-simplify]: Simplify 0 into 0
9.602 * [backup-simplify]: Simplify 1 into 1
9.603 * [backup-simplify]: Simplify (/ -1 1) into -1
9.603 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.603 * [taylor]: Taking taylor expansion of -1 in re
9.603 * [backup-simplify]: Simplify -1 into -1
9.603 * [taylor]: Taking taylor expansion of re in re
9.603 * [backup-simplify]: Simplify 0 into 0
9.603 * [backup-simplify]: Simplify 1 into 1
9.603 * [backup-simplify]: Simplify (/ -1 1) into -1
9.603 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.603 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.603 * [taylor]: Taking taylor expansion of -1 in re
9.603 * [backup-simplify]: Simplify -1 into -1
9.603 * [taylor]: Taking taylor expansion of im in re
9.603 * [backup-simplify]: Simplify im into im
9.603 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.603 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.603 * [taylor]: Taking taylor expansion of -1 in re
9.603 * [backup-simplify]: Simplify -1 into -1
9.603 * [taylor]: Taking taylor expansion of im in re
9.603 * [backup-simplify]: Simplify im into im
9.603 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.604 * [backup-simplify]: Simplify (* -1 -1) into 1
9.604 * [backup-simplify]: Simplify (+ 1 0) into 1
9.604 * [backup-simplify]: Simplify (sqrt 1) into 1
9.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.606 * [backup-simplify]: Simplify (+ 0 0) into 0
9.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.606 * [backup-simplify]: Simplify (sqrt 0) into 0
9.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
9.607 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.607 * [taylor]: Taking taylor expansion of -1 in re
9.607 * [backup-simplify]: Simplify -1 into -1
9.607 * [taylor]: Taking taylor expansion of re in re
9.607 * [backup-simplify]: Simplify 0 into 0
9.607 * [backup-simplify]: Simplify 1 into 1
9.607 * [backup-simplify]: Simplify (/ -1 1) into -1
9.608 * [backup-simplify]: Simplify (* 0 0) into 0
9.608 * [backup-simplify]: Simplify (+ 0 0) into 0
9.608 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
9.609 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
9.609 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.610 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) -1) (* 0 0)) into (- (sqrt 2.0))
9.610 * [backup-simplify]: Simplify (sqrt 0) into 0
9.612 * [backup-simplify]: Simplify (/ (- (sqrt 2.0)) (* 2 (sqrt 0))) into (* +nan.0 (sqrt 2.0))
9.612 * [taylor]: Taking taylor expansion of 0 in im
9.612 * [backup-simplify]: Simplify 0 into 0
9.612 * [backup-simplify]: Simplify 0 into 0
9.612 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.612 * [taylor]: Taking taylor expansion of +nan.0 in im
9.612 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.612 * [taylor]: Taking taylor expansion of 2.0 in im
9.612 * [backup-simplify]: Simplify 2.0 into 2.0
9.612 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.613 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.614 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.614 * [backup-simplify]: Simplify 0 into 0
9.616 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.617 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
9.619 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
9.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.621 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
9.625 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- +nan.0)) (+ (* 0 -1) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
9.632 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (sqrt 2.0))) (pow (* +nan.0 (sqrt 2.0)) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.632 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))) in im
9.632 * [taylor]: Taking taylor expansion of +nan.0 in im
9.632 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.632 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))) in im
9.632 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.632 * [taylor]: Taking taylor expansion of +nan.0 in im
9.632 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.632 * [taylor]: Taking taylor expansion of 2.0 in im
9.632 * [backup-simplify]: Simplify 2.0 into 2.0
9.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 2))) in im
9.634 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im
9.634 * [taylor]: Taking taylor expansion of +nan.0 in im
9.634 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.634 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
9.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.634 * [taylor]: Taking taylor expansion of 2.0 in im
9.634 * [backup-simplify]: Simplify 2.0 into 2.0
9.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.636 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.637 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
9.639 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
9.641 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 2))) into (- (* +nan.0 (pow (sqrt 2.0) 2)))
9.646 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.654 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.660 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2)))))
9.661 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
9.661 * [backup-simplify]: Simplify 0 into 0
9.661 * [backup-simplify]: Simplify 0 into 0
9.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.663 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.663 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.664 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.664 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.666 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.667 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.668 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.668 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.670 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))
9.670 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0)
9.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.671 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
9.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
9.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 -1) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
9.687 * [backup-simplify]: Simplify (/ (- (- (* +nan.0 (sqrt 2.0))) (+ (* 2 (* (* +nan.0 (sqrt 2.0)) (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.687 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))))) in im
9.687 * [taylor]: Taking taylor expansion of +nan.0 in im
9.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.687 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))) in im
9.687 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
9.687 * [taylor]: Taking taylor expansion of +nan.0 in im
9.687 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.687 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.687 * [taylor]: Taking taylor expansion of 2.0 in im
9.687 * [backup-simplify]: Simplify 2.0 into 2.0
9.687 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.688 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))) in im
9.688 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))) in im
9.688 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 2)) in im
9.688 * [taylor]: Taking taylor expansion of +nan.0 in im
9.688 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.688 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 2) in im
9.688 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.688 * [taylor]: Taking taylor expansion of 2.0 in im
9.688 * [backup-simplify]: Simplify 2.0 into 2.0
9.688 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.689 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (sqrt 2.0) 3))) in im
9.689 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (sqrt 2.0) 3)) in im
9.689 * [taylor]: Taking taylor expansion of +nan.0 in im
9.689 * [backup-simplify]: Simplify +nan.0 into +nan.0
9.689 * [taylor]: Taking taylor expansion of (pow (sqrt 2.0) 3) in im
9.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
9.689 * [taylor]: Taking taylor expansion of 2.0 in im
9.689 * [backup-simplify]: Simplify 2.0 into 2.0
9.689 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
9.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
9.690 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
9.691 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
9.692 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 2)) into (* +nan.0 (pow (sqrt 2.0) 2))
9.692 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2.0)) into (pow (sqrt 2.0) 2)
9.694 * [backup-simplify]: Simplify (* (sqrt 2.0) (pow (sqrt 2.0) 2)) into (pow (sqrt 2.0) 3)
9.695 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 2.0) 3)) into (* +nan.0 (pow (sqrt 2.0) 3))
9.697 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 2.0) 3))) into (- (* +nan.0 (pow (sqrt 2.0) 3)))
9.701 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))) into (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))
9.706 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))) into (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))
9.712 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.720 * [backup-simplify]: Simplify (* +nan.0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.727 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))))) into (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3)))))))
9.743 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (pow (sqrt 2.0) 2)) (- (* +nan.0 (pow (sqrt 2.0) 3))))))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (pow (sqrt 2.0) 2))))) (* 1 (/ 1 (- re)))) (* +nan.0 (sqrt 2.0)))) into (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) re)))))))))))))
9.743 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1)
9.743 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
9.743 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
9.743 * [taylor]: Taking taylor expansion of (hypot re im) in im
9.743 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.743 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
9.743 * [taylor]: Taking taylor expansion of (* re re) in im
9.743 * [taylor]: Taking taylor expansion of re in im
9.743 * [backup-simplify]: Simplify re into re
9.743 * [taylor]: Taking taylor expansion of re in im
9.743 * [backup-simplify]: Simplify re into re
9.743 * [taylor]: Taking taylor expansion of (* im im) in im
9.743 * [taylor]: Taking taylor expansion of im in im
9.743 * [backup-simplify]: Simplify 0 into 0
9.743 * [backup-simplify]: Simplify 1 into 1
9.743 * [taylor]: Taking taylor expansion of im in im
9.743 * [backup-simplify]: Simplify 0 into 0
9.743 * [backup-simplify]: Simplify 1 into 1
9.744 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.744 * [backup-simplify]: Simplify (* 0 0) into 0
9.744 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.744 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.744 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.745 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.745 * [backup-simplify]: Simplify (+ 0 0) into 0
9.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.746 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.746 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.746 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.746 * [taylor]: Taking taylor expansion of (* re re) in re
9.746 * [taylor]: Taking taylor expansion of re in re
9.746 * [backup-simplify]: Simplify 0 into 0
9.746 * [backup-simplify]: Simplify 1 into 1
9.746 * [taylor]: Taking taylor expansion of re in re
9.746 * [backup-simplify]: Simplify 0 into 0
9.746 * [backup-simplify]: Simplify 1 into 1
9.746 * [taylor]: Taking taylor expansion of (* im im) in re
9.746 * [taylor]: Taking taylor expansion of im in re
9.746 * [backup-simplify]: Simplify im into im
9.746 * [taylor]: Taking taylor expansion of im in re
9.746 * [backup-simplify]: Simplify im into im
9.746 * [backup-simplify]: Simplify (* 0 0) into 0
9.746 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.747 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.747 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.747 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.748 * [backup-simplify]: Simplify (+ 0 0) into 0
9.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.748 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.748 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.748 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.748 * [taylor]: Taking taylor expansion of (* re re) in re
9.748 * [taylor]: Taking taylor expansion of re in re
9.749 * [backup-simplify]: Simplify 0 into 0
9.749 * [backup-simplify]: Simplify 1 into 1
9.749 * [taylor]: Taking taylor expansion of re in re
9.749 * [backup-simplify]: Simplify 0 into 0
9.749 * [backup-simplify]: Simplify 1 into 1
9.749 * [taylor]: Taking taylor expansion of (* im im) in re
9.749 * [taylor]: Taking taylor expansion of im in re
9.749 * [backup-simplify]: Simplify im into im
9.749 * [taylor]: Taking taylor expansion of im in re
9.749 * [backup-simplify]: Simplify im into im
9.749 * [backup-simplify]: Simplify (* 0 0) into 0
9.749 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.749 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.750 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.750 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.750 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.751 * [backup-simplify]: Simplify (+ 0 0) into 0
9.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.751 * [taylor]: Taking taylor expansion of im in im
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [backup-simplify]: Simplify 1 into 1
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [taylor]: Taking taylor expansion of 0 in im
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [backup-simplify]: Simplify 0 into 0
9.751 * [backup-simplify]: Simplify 1 into 1
9.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.752 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.753 * [backup-simplify]: Simplify (+ 1 0) into 1
9.754 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.754 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
9.754 * [taylor]: Taking taylor expansion of 1/2 in im
9.754 * [backup-simplify]: Simplify 1/2 into 1/2
9.754 * [taylor]: Taking taylor expansion of im in im
9.754 * [backup-simplify]: Simplify 0 into 0
9.754 * [backup-simplify]: Simplify 1 into 1
9.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.755 * [backup-simplify]: Simplify 0 into 0
9.756 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
9.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.757 * [backup-simplify]: Simplify (+ 0 0) into 0
9.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.758 * [taylor]: Taking taylor expansion of 0 in im
9.758 * [backup-simplify]: Simplify 0 into 0
9.758 * [backup-simplify]: Simplify 0 into 0
9.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.759 * [backup-simplify]: Simplify 0 into 0
9.759 * [backup-simplify]: Simplify 0 into 0
9.759 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
9.759 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
9.759 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
9.759 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.759 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.759 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.759 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.759 * [taylor]: Taking taylor expansion of re in im
9.759 * [backup-simplify]: Simplify re into re
9.759 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.760 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.760 * [taylor]: Taking taylor expansion of re in im
9.760 * [backup-simplify]: Simplify re into re
9.760 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.760 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.760 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.760 * [taylor]: Taking taylor expansion of im in im
9.760 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify 1 into 1
9.760 * [backup-simplify]: Simplify (/ 1 1) into 1
9.760 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.760 * [taylor]: Taking taylor expansion of im in im
9.760 * [backup-simplify]: Simplify 0 into 0
9.760 * [backup-simplify]: Simplify 1 into 1
9.761 * [backup-simplify]: Simplify (/ 1 1) into 1
9.761 * [backup-simplify]: Simplify (* 1 1) into 1
9.761 * [backup-simplify]: Simplify (+ 0 1) into 1
9.762 * [backup-simplify]: Simplify (sqrt 1) into 1
9.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.764 * [backup-simplify]: Simplify (+ 0 0) into 0
9.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.765 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.765 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.765 * [taylor]: Taking taylor expansion of re in re
9.765 * [backup-simplify]: Simplify 0 into 0
9.765 * [backup-simplify]: Simplify 1 into 1
9.766 * [backup-simplify]: Simplify (/ 1 1) into 1
9.766 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.766 * [taylor]: Taking taylor expansion of re in re
9.766 * [backup-simplify]: Simplify 0 into 0
9.766 * [backup-simplify]: Simplify 1 into 1
9.766 * [backup-simplify]: Simplify (/ 1 1) into 1
9.766 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.766 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.766 * [taylor]: Taking taylor expansion of im in re
9.766 * [backup-simplify]: Simplify im into im
9.766 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.766 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.766 * [taylor]: Taking taylor expansion of im in re
9.766 * [backup-simplify]: Simplify im into im
9.767 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.767 * [backup-simplify]: Simplify (* 1 1) into 1
9.767 * [backup-simplify]: Simplify (+ 1 0) into 1
9.768 * [backup-simplify]: Simplify (sqrt 1) into 1
9.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.770 * [backup-simplify]: Simplify (+ 0 0) into 0
9.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.771 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.771 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.771 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.771 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.771 * [taylor]: Taking taylor expansion of re in re
9.771 * [backup-simplify]: Simplify 0 into 0
9.771 * [backup-simplify]: Simplify 1 into 1
9.772 * [backup-simplify]: Simplify (/ 1 1) into 1
9.772 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.772 * [taylor]: Taking taylor expansion of re in re
9.772 * [backup-simplify]: Simplify 0 into 0
9.772 * [backup-simplify]: Simplify 1 into 1
9.772 * [backup-simplify]: Simplify (/ 1 1) into 1
9.772 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.772 * [taylor]: Taking taylor expansion of im in re
9.772 * [backup-simplify]: Simplify im into im
9.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.773 * [taylor]: Taking taylor expansion of im in re
9.773 * [backup-simplify]: Simplify im into im
9.773 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.773 * [backup-simplify]: Simplify (* 1 1) into 1
9.773 * [backup-simplify]: Simplify (+ 1 0) into 1
9.774 * [backup-simplify]: Simplify (sqrt 1) into 1
9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.776 * [backup-simplify]: Simplify (+ 0 0) into 0
9.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.777 * [taylor]: Taking taylor expansion of 1 in im
9.777 * [backup-simplify]: Simplify 1 into 1
9.777 * [taylor]: Taking taylor expansion of 0 in im
9.777 * [backup-simplify]: Simplify 0 into 0
9.777 * [backup-simplify]: Simplify 1 into 1
9.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.780 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.780 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.782 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.782 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.782 * [taylor]: Taking taylor expansion of 1/2 in im
9.782 * [backup-simplify]: Simplify 1/2 into 1/2
9.782 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.782 * [taylor]: Taking taylor expansion of im in im
9.782 * [backup-simplify]: Simplify 0 into 0
9.782 * [backup-simplify]: Simplify 1 into 1
9.782 * [backup-simplify]: Simplify (* 1 1) into 1
9.783 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.787 * [backup-simplify]: Simplify 0 into 0
9.787 * [backup-simplify]: Simplify 0 into 0
9.787 * [backup-simplify]: Simplify 0 into 0
9.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
9.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
9.791 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
9.791 * [backup-simplify]: Simplify (+ 0 0) into 0
9.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.792 * [taylor]: Taking taylor expansion of 0 in im
9.792 * [backup-simplify]: Simplify 0 into 0
9.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify 0 into 0
9.794 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
9.794 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
9.794 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
9.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.795 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.795 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.795 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.795 * [taylor]: Taking taylor expansion of -1 in im
9.795 * [backup-simplify]: Simplify -1 into -1
9.795 * [taylor]: Taking taylor expansion of re in im
9.795 * [backup-simplify]: Simplify re into re
9.795 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.795 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.795 * [taylor]: Taking taylor expansion of -1 in im
9.795 * [backup-simplify]: Simplify -1 into -1
9.795 * [taylor]: Taking taylor expansion of re in im
9.795 * [backup-simplify]: Simplify re into re
9.795 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.795 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.795 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.795 * [taylor]: Taking taylor expansion of -1 in im
9.795 * [backup-simplify]: Simplify -1 into -1
9.795 * [taylor]: Taking taylor expansion of im in im
9.795 * [backup-simplify]: Simplify 0 into 0
9.795 * [backup-simplify]: Simplify 1 into 1
9.796 * [backup-simplify]: Simplify (/ -1 1) into -1
9.796 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.796 * [taylor]: Taking taylor expansion of -1 in im
9.796 * [backup-simplify]: Simplify -1 into -1
9.796 * [taylor]: Taking taylor expansion of im in im
9.796 * [backup-simplify]: Simplify 0 into 0
9.796 * [backup-simplify]: Simplify 1 into 1
9.796 * [backup-simplify]: Simplify (/ -1 1) into -1
9.797 * [backup-simplify]: Simplify (* -1 -1) into 1
9.797 * [backup-simplify]: Simplify (+ 0 1) into 1
9.798 * [backup-simplify]: Simplify (sqrt 1) into 1
9.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.800 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.801 * [backup-simplify]: Simplify (+ 0 0) into 0
9.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.801 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.802 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.802 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.802 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.802 * [taylor]: Taking taylor expansion of -1 in re
9.802 * [backup-simplify]: Simplify -1 into -1
9.802 * [taylor]: Taking taylor expansion of re in re
9.802 * [backup-simplify]: Simplify 0 into 0
9.802 * [backup-simplify]: Simplify 1 into 1
9.802 * [backup-simplify]: Simplify (/ -1 1) into -1
9.802 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.802 * [taylor]: Taking taylor expansion of -1 in re
9.802 * [backup-simplify]: Simplify -1 into -1
9.802 * [taylor]: Taking taylor expansion of re in re
9.802 * [backup-simplify]: Simplify 0 into 0
9.802 * [backup-simplify]: Simplify 1 into 1
9.803 * [backup-simplify]: Simplify (/ -1 1) into -1
9.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.803 * [taylor]: Taking taylor expansion of -1 in re
9.803 * [backup-simplify]: Simplify -1 into -1
9.803 * [taylor]: Taking taylor expansion of im in re
9.803 * [backup-simplify]: Simplify im into im
9.803 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.803 * [taylor]: Taking taylor expansion of -1 in re
9.803 * [backup-simplify]: Simplify -1 into -1
9.803 * [taylor]: Taking taylor expansion of im in re
9.803 * [backup-simplify]: Simplify im into im
9.803 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.803 * [backup-simplify]: Simplify (* -1 -1) into 1
9.804 * [backup-simplify]: Simplify (+ 1 0) into 1
9.804 * [backup-simplify]: Simplify (sqrt 1) into 1
9.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.805 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.805 * [backup-simplify]: Simplify (+ 0 0) into 0
9.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.806 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.806 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.806 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.806 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.806 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.806 * [taylor]: Taking taylor expansion of -1 in re
9.806 * [backup-simplify]: Simplify -1 into -1
9.806 * [taylor]: Taking taylor expansion of re in re
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 1 into 1
9.806 * [backup-simplify]: Simplify (/ -1 1) into -1
9.806 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.806 * [taylor]: Taking taylor expansion of -1 in re
9.806 * [backup-simplify]: Simplify -1 into -1
9.806 * [taylor]: Taking taylor expansion of re in re
9.806 * [backup-simplify]: Simplify 0 into 0
9.806 * [backup-simplify]: Simplify 1 into 1
9.807 * [backup-simplify]: Simplify (/ -1 1) into -1
9.807 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.807 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.807 * [taylor]: Taking taylor expansion of -1 in re
9.807 * [backup-simplify]: Simplify -1 into -1
9.807 * [taylor]: Taking taylor expansion of im in re
9.807 * [backup-simplify]: Simplify im into im
9.807 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.807 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.807 * [taylor]: Taking taylor expansion of -1 in re
9.807 * [backup-simplify]: Simplify -1 into -1
9.807 * [taylor]: Taking taylor expansion of im in re
9.807 * [backup-simplify]: Simplify im into im
9.807 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.807 * [backup-simplify]: Simplify (* -1 -1) into 1
9.808 * [backup-simplify]: Simplify (+ 1 0) into 1
9.808 * [backup-simplify]: Simplify (sqrt 1) into 1
9.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.809 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.809 * [backup-simplify]: Simplify (+ 0 0) into 0
9.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.810 * [taylor]: Taking taylor expansion of 1 in im
9.810 * [backup-simplify]: Simplify 1 into 1
9.810 * [taylor]: Taking taylor expansion of 0 in im
9.810 * [backup-simplify]: Simplify 0 into 0
9.810 * [backup-simplify]: Simplify 1 into 1
9.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.812 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.812 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.812 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.813 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
9.813 * [taylor]: Taking taylor expansion of 1/2 in im
9.813 * [backup-simplify]: Simplify 1/2 into 1/2
9.813 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.813 * [taylor]: Taking taylor expansion of im in im
9.813 * [backup-simplify]: Simplify 0 into 0
9.813 * [backup-simplify]: Simplify 1 into 1
9.813 * [backup-simplify]: Simplify (* 1 1) into 1
9.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.814 * [backup-simplify]: Simplify 0 into 0
9.814 * [backup-simplify]: Simplify 0 into 0
9.814 * [backup-simplify]: Simplify 0 into 0
9.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.816 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.816 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.816 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
9.816 * [backup-simplify]: Simplify (+ 0 0) into 0
9.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.817 * [taylor]: Taking taylor expansion of 0 in im
9.817 * [backup-simplify]: Simplify 0 into 0
9.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify 0 into 0
9.818 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
9.818 * * * [progress]: simplifying candidates
9.820 * [simplify]: Simplifying:
  (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))
  (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (expm1 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (log1p (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (sqrt 2.0)) (sqrt 2.0))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (sqrt 2.0)) (sqrt 2.0))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
  (+ (+ (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (+ (log (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0))))
  (log (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (exp (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))
  (cbrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (sqrt 2.0)) (sqrt 2.0))
  (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 1)))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt 1))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
  (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) 1)
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))
  (expm1 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (log1p (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (sqrt 2.0))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (sqrt 2.0))
  (+ (log (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (log (sqrt (sqrt 2.0))))
  (log (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (exp (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
  (* (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))))
  (cbrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (* (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (sqrt 2.0))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0)))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 1)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 1))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt (sqrt 2.0))))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) 1)
  (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ re im)
  (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0)))
  (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.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))))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  (- (+ (* +nan.0 (* (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) re)))))))))))))
  (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 2) (pow re 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (+ (* +nan.0 (/ (pow (sqrt 2.0) 3) (pow re 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (pow (sqrt 2.0) 2) re)))))))))))))
  im
  re
  (* -1 re)
9.821 * * [simplify]: iteration 0: 154 enodes
9.851 * * [simplify]: iteration 1: 381 enodes
10.017 * * [simplify]: iteration 2: 1975 enodes
10.797 * * [simplify]: iteration complete: 5000 enodes
10.797 * * [simplify]: Extracting #0: cost 60 inf + 0
10.799 * * [simplify]: Extracting #1: cost 534 inf + 2
10.802 * * [simplify]: Extracting #2: cost 1129 inf + 1741
10.813 * * [simplify]: Extracting #3: cost 1072 inf + 55995
10.852 * * [simplify]: Extracting #4: cost 411 inf + 210704
10.935 * * [simplify]: Extracting #5: cost 68 inf + 287832
11.003 * * [simplify]: Extracting #6: cost 9 inf + 300009
11.092 * * [simplify]: Extracting #7: cost 0 inf + 302140
11.164 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (hypot re im)
  (log (+ (hypot re im) re))
  (exp (+ (hypot re im) re))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (* (+ (hypot re im) re) (* (+ (hypot re im) re) (+ (hypot re im) re)))
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (expm1 (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (log1p (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (* (+ (hypot re im) re) 2.0)
  (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
  (* (+ (hypot re im) re) 2.0)
  (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
  (log (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (log (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (log (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (exp (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (* (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (+ (hypot re im) re) 2.0))
  (* (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (+ (hypot re im) re) 2.0))
  (* (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))) (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))))
  (cbrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (* (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) (* (+ (hypot re im) re) 2.0))
  (* (+ (hypot re im) re) 2.0)
  (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (sqrt (* (sqrt 2.0) (sqrt (+ (hypot re im) re))))
  (* (* (cbrt (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0)))
  (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))
  (* (sqrt (fabs (cbrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ (hypot re im) re)))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (sqrt 2.0)
  (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (log1p (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (+ (hypot re im) re) (sqrt 2.0))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (+ (hypot re im) re) (sqrt 2.0))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (log (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (exp (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (hypot re im) re)) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt 2.0)))
  (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))))
  (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (* (sqrt (+ (hypot re im) re)) (+ (hypot re im) re)) (* (sqrt (sqrt 2.0)) (sqrt 2.0)))
  (* (+ (hypot re im) re) (sqrt 2.0))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re))))
  (* (cbrt (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re))))
  (* (sqrt (+ (hypot re im) re)) (fabs (cbrt (sqrt 2.0))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (fabs (cbrt 2.0))))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re)))
  (sqrt (+ (hypot re im) re))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re)))
  (sqrt (+ (hypot re im) re))
  (* (sqrt (sqrt (sqrt 2.0))) (sqrt (+ (hypot re im) re)))
  (sqrt (+ (hypot re im) re))
  (* (sqrt (sqrt 2.0)) (cbrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ (hypot re im) re))))
  (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ im re)
  (- re (- (* (* (/ im re) (/ im re)) +nan.0) +nan.0))
  (- re (- (* (* (/ im re) (/ im re)) +nan.0) +nan.0))
  (- (fma (* (* (sqrt 2.0) +nan.0) re) re (fma (* (sqrt 2.0) +nan.0) (- im) (* (* (sqrt 2.0) +nan.0) re))))
  (- (* (- +nan.0) (sqrt 2.0)) (- (/ (* (- +nan.0) (sqrt 2.0)) re) (/ (* (- +nan.0) (sqrt 2.0)) (* re re))))
  (- (* (- +nan.0) (sqrt 2.0)) (- (/ (* (- +nan.0) (sqrt 2.0)) re) (/ (* (- +nan.0) (sqrt 2.0)) (* re re))))
  (fma +nan.0 (- (* (sqrt 2.0) im) (* (sqrt 2.0) re)) (* (* +nan.0 (* re re)) (- 2.0)))
  (fma (/ (/ 2.0 re) re) (- +nan.0) (fma +nan.0 (sqrt 2.0) (fma (- +nan.0) (/ (sqrt 2.0) re) (fma (/ (sqrt 2.0) (/ (* re re) 2.0)) +nan.0 (* (- +nan.0) (- (/ (sqrt 2.0) (* re re)) (/ 2.0 re)))))))
  (fma (/ (/ 2.0 re) re) (- +nan.0) (fma +nan.0 (sqrt 2.0) (fma (- +nan.0) (/ (sqrt 2.0) re) (fma (/ (sqrt 2.0) (/ (* re re) 2.0)) +nan.0 (* (- +nan.0) (- (/ (sqrt 2.0) (* re re)) (/ 2.0 re)))))))
  im
  re
  (- re)
11.171 * * * [progress]: adding candidates to table
11.692 * [progress]: [Phase 3 of 3] Extracting.
11.692 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (* (* (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (/ (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (expm1 (log1p (hypot re im)))) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im))) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))) 2.0))))>)
11.695 * * * [regime-changes]: Trying 2 branch expressions: (im re)
11.695 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (* (* (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (/ (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (expm1 (log1p (hypot re im)))) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im))) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))) 2.0))))>)
11.782 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (* (* (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0)))) (sqrt (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (sqrt 2.0))))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (/ (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (cbrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (expm1 (log1p (hypot re im)))) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (* (sqrt (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (* (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im))) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))) 2.0))))>)
11.875 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
11.875 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
11.875 * * [simplify]: iteration 0: 9 enodes
11.876 * * [simplify]: iteration 1: 12 enodes
11.877 * * [simplify]: iteration complete: 12 enodes
11.877 * * [simplify]: Extracting #0: cost 1 inf + 0
11.877 * * [simplify]: Extracting #1: cost 3 inf + 0
11.877 * * [simplify]: Extracting #2: cost 3 inf + 1
11.877 * * [simplify]: Extracting #3: cost 5 inf + 1
11.877 * * [simplify]: Extracting #4: cost 6 inf + 2
11.877 * * [simplify]: Extracting #5: cost 6 inf + 3
11.878 * * [simplify]: Extracting #6: cost 0 inf + 693
11.878 * [simplify]: Simplified to:
  (* (sqrt (* (+ re (hypot re im)) 2.0)) 0.5)
15.812 * [regime-testing]: Baseline error score: 12.95338225028783
15.823 * [regime-testing]: Oracle error score: 12.689765848033215
15.860 * [regime-testing]: End program error score: 12.95338225028783
16.000 * [regime-testing]: Target error score: 33.227246173184156