2.907 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.039 * * * [progress]: [2/2] Setting up program.
0.047 * [progress]: [Phase 2 of 3] Improving.
0.048 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))
0.048 * * [simplify]: iteration 0: 12 enodes
0.051 * * [simplify]: iteration 1: 24 enodes
0.058 * * [simplify]: iteration 2: 30 enodes
0.064 * * [simplify]: iteration 3: 32 enodes
0.071 * * [simplify]: iteration complete: 32 enodes
0.071 * * [simplify]: Extracting #0: cost 1 inf + 0
0.071 * * [simplify]: Extracting #1: cost 3 inf + 0
0.071 * * [simplify]: Extracting #2: cost 3 inf + 1
0.071 * * [simplify]: Extracting #3: cost 9 inf + 1
0.071 * * [simplify]: Extracting #4: cost 8 inf + 6
0.071 * * [simplify]: Extracting #5: cost 3 inf + 45
0.071 * * [simplify]: Extracting #6: cost 1 inf + 51
0.071 * * [simplify]: Extracting #7: cost 0 inf + 57
0.072 * [simplify]: Simplified to:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
0.082 * * [progress]: iteration 1 / 4
0.082 * * * [progress]: picking best candidate
0.091 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))>
0.091 * * * [progress]: localizing error
0.103 * * * [progress]: generating rewritten candidates
0.103 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1)
0.109 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2)
0.138 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1)
0.140 * * * [progress]: generating series expansions
0.140 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1)
0.140 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re)
0.140 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
0.140 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
0.140 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.141 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.141 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.141 * [taylor]: Taking taylor expansion of (* re re) in im
0.141 * [taylor]: Taking taylor expansion of re in im
0.141 * [backup-simplify]: Simplify re into re
0.141 * [taylor]: Taking taylor expansion of re in im
0.141 * [backup-simplify]: Simplify re into re
0.141 * [taylor]: Taking taylor expansion of (* im im) in im
0.141 * [taylor]: Taking taylor expansion of im in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [taylor]: Taking taylor expansion of im in im
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 1 into 1
0.141 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.142 * [backup-simplify]: Simplify (* 0 0) into 0
0.142 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.142 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.142 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.143 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.144 * [taylor]: Taking taylor expansion of re in im
0.144 * [backup-simplify]: Simplify re into re
0.144 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.144 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.144 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.144 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.144 * [taylor]: Taking taylor expansion of (* re re) in re
0.144 * [taylor]: Taking taylor expansion of re in re
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [taylor]: Taking taylor expansion of re in re
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [taylor]: Taking taylor expansion of (* im im) in re
0.144 * [taylor]: Taking taylor expansion of im in re
0.144 * [backup-simplify]: Simplify im into im
0.144 * [taylor]: Taking taylor expansion of im in re
0.144 * [backup-simplify]: Simplify im into im
0.145 * [backup-simplify]: Simplify (* 0 0) into 0
0.145 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.146 * [taylor]: Taking taylor expansion of re in re
0.146 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.146 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.147 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.147 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.147 * [taylor]: Taking taylor expansion of (* re re) in re
0.147 * [taylor]: Taking taylor expansion of re in re
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [taylor]: Taking taylor expansion of re in re
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [taylor]: Taking taylor expansion of (* im im) in re
0.147 * [taylor]: Taking taylor expansion of im in re
0.147 * [backup-simplify]: Simplify im into im
0.147 * [taylor]: Taking taylor expansion of im in re
0.147 * [backup-simplify]: Simplify im into im
0.147 * [backup-simplify]: Simplify (* 0 0) into 0
0.147 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.148 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.148 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.148 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.149 * [backup-simplify]: Simplify (+ 0 0) into 0
0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.149 * [taylor]: Taking taylor expansion of re in re
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (+ im 0) into im
0.149 * [taylor]: Taking taylor expansion of im in im
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (+ 0 1) into 1
0.150 * [taylor]: Taking taylor expansion of 1 in im
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.151 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.152 * [backup-simplify]: Simplify (+ 1 0) into 1
0.152 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.152 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
0.153 * [taylor]: Taking taylor expansion of 1/2 in im
0.153 * [backup-simplify]: Simplify 1/2 into 1/2
0.153 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.153 * [taylor]: Taking taylor expansion of im in im
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.157 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [taylor]: Taking taylor expansion of 0 in im
0.158 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
0.160 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
0.160 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
0.160 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.160 * [taylor]: Taking taylor expansion of re in im
0.160 * [backup-simplify]: Simplify re into re
0.160 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.161 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.161 * [taylor]: Taking taylor expansion of re in im
0.161 * [backup-simplify]: Simplify re into re
0.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.161 * [taylor]: Taking taylor expansion of re in im
0.161 * [backup-simplify]: Simplify re into re
0.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.161 * [taylor]: Taking taylor expansion of im in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (/ 1 1) into 1
0.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.161 * [taylor]: Taking taylor expansion of im in im
0.161 * [backup-simplify]: Simplify 0 into 0
0.162 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.163 * [backup-simplify]: Simplify (+ 0 1) into 1
0.163 * [backup-simplify]: Simplify (sqrt 1) into 1
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.166 * [taylor]: Taking taylor expansion of (/ 1 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
0.167 * [backup-simplify]: Simplify (/ 1 1) into 1
0.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.167 * [taylor]: Taking taylor expansion of re in re
0.167 * [backup-simplify]: Simplify 0 into 0
0.167 * [backup-simplify]: Simplify 1 into 1
0.168 * [backup-simplify]: Simplify (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re
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 (/ 1 1) into 1
0.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.168 * [taylor]: Taking taylor expansion of im in re
0.168 * [backup-simplify]: Simplify im into im
0.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.168 * [taylor]: Taking taylor expansion of im in re
0.168 * [backup-simplify]: Simplify im into im
0.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (+ 1 0) into 1
0.170 * [backup-simplify]: Simplify (sqrt 1) into 1
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.173 * [taylor]: Taking taylor expansion of re in re
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (/ 1 1) into 1
0.173 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.174 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.174 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.174 * [taylor]: Taking taylor expansion of re in re
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.174 * [taylor]: Taking taylor expansion of re in re
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.175 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.175 * [taylor]: Taking taylor expansion of im in re
0.175 * [backup-simplify]: Simplify im into im
0.175 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.175 * [backup-simplify]: Simplify (* 1 1) into 1
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.180 * [backup-simplify]: Simplify (+ 1 1) into 2
0.180 * [taylor]: Taking taylor expansion of 2 in im
0.180 * [backup-simplify]: Simplify 2 into 2
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [taylor]: Taking taylor expansion of 0 in im
0.181 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 2 into 2
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.185 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.186 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.187 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.187 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.187 * [taylor]: Taking taylor expansion of 1/2 in im
0.187 * [backup-simplify]: Simplify 1/2 into 1/2
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.187 * [taylor]: Taking taylor expansion of im in im
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (* 1 1) into 1
0.188 * [backup-simplify]: Simplify (/ 1 1) into 1
0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.195 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.196 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [taylor]: Taking taylor expansion of 0 in im
0.196 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
0.200 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
0.200 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
0.200 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.200 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.200 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.200 * [taylor]: Taking taylor expansion of -1 in im
0.200 * [backup-simplify]: Simplify -1 into -1
0.200 * [taylor]: Taking taylor expansion of re in im
0.200 * [backup-simplify]: Simplify re into re
0.200 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.200 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.201 * [taylor]: Taking taylor expansion of -1 in im
0.201 * [backup-simplify]: Simplify -1 into -1
0.201 * [taylor]: Taking taylor expansion of re in im
0.201 * [backup-simplify]: Simplify re into re
0.201 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.201 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.201 * [taylor]: Taking taylor expansion of -1 in im
0.201 * [backup-simplify]: Simplify -1 into -1
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
0.201 * [backup-simplify]: Simplify (/ -1 1) into -1
0.201 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.201 * [taylor]: Taking taylor expansion of -1 in im
0.201 * [backup-simplify]: Simplify -1 into -1
0.201 * [taylor]: Taking taylor expansion of im in im
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (/ -1 1) into -1
0.202 * [backup-simplify]: Simplify (* -1 -1) into 1
0.203 * [backup-simplify]: Simplify (+ 0 1) into 1
0.203 * [backup-simplify]: Simplify (sqrt 1) into 1
0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.206 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.207 * [taylor]: Taking taylor expansion of re in im
0.207 * [backup-simplify]: Simplify re into re
0.207 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.207 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.207 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.207 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.207 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.207 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.207 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.207 * [taylor]: Taking taylor expansion of -1 in re
0.207 * [backup-simplify]: Simplify -1 into -1
0.207 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (/ -1 1) into -1
0.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.208 * [taylor]: Taking taylor expansion of -1 in re
0.208 * [backup-simplify]: Simplify -1 into -1
0.208 * [taylor]: Taking taylor expansion of re in re
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (/ -1 1) into -1
0.209 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.209 * [taylor]: Taking taylor expansion of -1 in re
0.209 * [backup-simplify]: Simplify -1 into -1
0.209 * [taylor]: Taking taylor expansion of im in re
0.209 * [backup-simplify]: Simplify im into im
0.209 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.209 * [taylor]: Taking taylor expansion of -1 in re
0.209 * [backup-simplify]: Simplify -1 into -1
0.209 * [taylor]: Taking taylor expansion of im in re
0.209 * [backup-simplify]: Simplify im into im
0.209 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.210 * [backup-simplify]: Simplify (* -1 -1) into 1
0.210 * [backup-simplify]: Simplify (+ 1 0) into 1
0.210 * [backup-simplify]: Simplify (sqrt 1) into 1
0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.214 * [taylor]: Taking taylor expansion of re in re
0.214 * [backup-simplify]: Simplify 0 into 0
0.214 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (/ 1 1) into 1
0.215 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.215 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.215 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.215 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.215 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.215 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.215 * [taylor]: Taking taylor expansion of -1 in re
0.215 * [backup-simplify]: Simplify -1 into -1
0.215 * [taylor]: Taking taylor expansion of re in re
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (/ -1 1) into -1
0.216 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.216 * [taylor]: Taking taylor expansion of -1 in re
0.216 * [backup-simplify]: Simplify -1 into -1
0.216 * [taylor]: Taking taylor expansion of re in re
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (/ -1 1) into -1
0.216 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.216 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.216 * [taylor]: Taking taylor expansion of -1 in re
0.216 * [backup-simplify]: Simplify -1 into -1
0.216 * [taylor]: Taking taylor expansion of im in re
0.217 * [backup-simplify]: Simplify im into im
0.217 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.217 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.217 * [taylor]: Taking taylor expansion of -1 in re
0.217 * [backup-simplify]: Simplify -1 into -1
0.217 * [taylor]: Taking taylor expansion of im in re
0.217 * [backup-simplify]: Simplify im into im
0.217 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.217 * [backup-simplify]: Simplify (* -1 -1) into 1
0.218 * [backup-simplify]: Simplify (+ 1 0) into 1
0.218 * [backup-simplify]: Simplify (sqrt 1) into 1
0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.221 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.222 * [taylor]: Taking taylor expansion of re in re
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify (/ 1 1) into 1
0.223 * [backup-simplify]: Simplify (- 1) into -1
0.223 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.223 * [taylor]: Taking taylor expansion of 0 in im
0.223 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (- 0) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [taylor]: Taking taylor expansion of 0 in im
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.228 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.228 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.230 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (- 0) into 0
0.232 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
0.232 * [taylor]: Taking taylor expansion of 1/2 in im
0.232 * [backup-simplify]: Simplify 1/2 into 1/2
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.232 * [taylor]: Taking taylor expansion of im in im
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.240 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (- 0) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [taylor]: Taking taylor expansion of 0 in im
0.243 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * * * * [progress]: [ 2 / 3 ] generating series at (2 2)
0.247 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re)))
0.247 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0
0.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im
0.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.247 * [taylor]: Taking taylor expansion of 2.0 in im
0.247 * [backup-simplify]: Simplify 2.0 into 2.0
0.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.248 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im
0.248 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
0.248 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.248 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.248 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.248 * [taylor]: Taking taylor expansion of (* re re) in im
0.248 * [taylor]: Taking taylor expansion of re in im
0.248 * [backup-simplify]: Simplify re into re
0.248 * [taylor]: Taking taylor expansion of re in im
0.248 * [backup-simplify]: Simplify re into re
0.248 * [taylor]: Taking taylor expansion of (* im im) in im
0.248 * [taylor]: Taking taylor expansion of im in im
0.248 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [taylor]: Taking taylor expansion of im in im
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 1 into 1
0.249 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.249 * [backup-simplify]: Simplify (* 0 0) into 0
0.249 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.249 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.250 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.250 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.251 * [taylor]: Taking taylor expansion of re in im
0.251 * [backup-simplify]: Simplify re into re
0.251 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
0.251 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.252 * [taylor]: Taking taylor expansion of 2.0 in re
0.252 * [backup-simplify]: Simplify 2.0 into 2.0
0.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
0.253 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.253 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.253 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.253 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.253 * [taylor]: Taking taylor expansion of (* re re) in re
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of re in re
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [taylor]: Taking taylor expansion of (* im im) in re
0.253 * [taylor]: Taking taylor expansion of im in re
0.253 * [backup-simplify]: Simplify im into im
0.253 * [taylor]: Taking taylor expansion of im in re
0.253 * [backup-simplify]: Simplify im into im
0.254 * [backup-simplify]: Simplify (* 0 0) into 0
0.254 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.254 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.254 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.255 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.255 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.255 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.256 * [taylor]: Taking taylor expansion of re in re
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (+ im 0) into im
0.256 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.256 * [backup-simplify]: Simplify (+ 0 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.256 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re
0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.256 * [taylor]: Taking taylor expansion of 2.0 in re
0.256 * [backup-simplify]: Simplify 2.0 into 2.0
0.257 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re
0.258 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
0.258 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.258 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.258 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.258 * [taylor]: Taking taylor expansion of (* re re) in re
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of re in re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of (* im im) in re
0.258 * [taylor]: Taking taylor expansion of im in re
0.258 * [backup-simplify]: Simplify im into im
0.258 * [taylor]: Taking taylor expansion of im in re
0.258 * [backup-simplify]: Simplify im into im
0.259 * [backup-simplify]: Simplify (* 0 0) into 0
0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.259 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.259 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.260 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.260 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.260 * [taylor]: Taking taylor expansion of re in re
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (+ im 0) into im
0.261 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
0.261 * [backup-simplify]: Simplify (+ 0 1) into 1
0.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
0.262 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
0.262 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.262 * [taylor]: Taking taylor expansion of 2.0 in im
0.262 * [backup-simplify]: Simplify 2.0 into 2.0
0.262 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.263 * [taylor]: Taking taylor expansion of (sqrt im) in im
0.263 * [taylor]: Taking taylor expansion of im in im
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (sqrt 0) into 0
0.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.266 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
0.266 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
0.266 * [taylor]: Taking taylor expansion of 1/2 in im
0.266 * [backup-simplify]: Simplify 1/2 into 1/2
0.266 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.266 * [taylor]: Taking taylor expansion of 2.0 in im
0.266 * [backup-simplify]: Simplify 2.0 into 2.0
0.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
0.268 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.268 * [taylor]: Taking taylor expansion of im in im
0.268 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [backup-simplify]: Simplify (sqrt 0) into 0
0.270 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.272 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.273 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.278 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.285 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.286 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.287 * [backup-simplify]: Simplify (+ 1 0) into 1
0.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.287 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
0.288 * [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))))
0.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.289 * [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)))))
0.289 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
0.289 * [taylor]: Taking taylor expansion of 1/8 in im
0.289 * [backup-simplify]: Simplify 1/8 into 1/8
0.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.289 * [taylor]: Taking taylor expansion of 2.0 in im
0.289 * [backup-simplify]: Simplify 2.0 into 2.0
0.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
0.290 * [taylor]: Taking taylor expansion of (pow im 3) in im
0.290 * [taylor]: Taking taylor expansion of im in im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (* 1 1) into 1
0.291 * [backup-simplify]: Simplify (/ 1 1) into 1
0.291 * [backup-simplify]: Simplify (sqrt 0) into 0
0.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.297 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.298 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.299 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.303 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.306 * [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)))))))
0.306 * [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)))))
0.306 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0
0.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im
0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.306 * [taylor]: Taking taylor expansion of 2.0 in im
0.306 * [backup-simplify]: Simplify 2.0 into 2.0
0.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im
0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
0.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.307 * [taylor]: Taking taylor expansion of re in im
0.307 * [backup-simplify]: Simplify re into re
0.307 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.307 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.307 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.307 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.307 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.307 * [taylor]: Taking taylor expansion of re in im
0.307 * [backup-simplify]: Simplify re into re
0.307 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.307 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.307 * [taylor]: Taking taylor expansion of re in im
0.307 * [backup-simplify]: Simplify re into re
0.308 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.308 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.308 * [taylor]: Taking taylor expansion of im in im
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ 1 1) into 1
0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.308 * [taylor]: Taking taylor expansion of im in im
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (+ 0 1) into 1
0.310 * [backup-simplify]: Simplify (sqrt 1) into 1
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 1) into 1
0.314 * [backup-simplify]: Simplify (sqrt 0) into 0
0.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.315 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
0.315 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.315 * [taylor]: Taking taylor expansion of 2.0 in re
0.315 * [backup-simplify]: Simplify 2.0 into 2.0
0.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
0.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.317 * [taylor]: Taking taylor expansion of re in re
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.317 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.317 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.318 * [taylor]: Taking taylor expansion of re in re
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.318 * [taylor]: Taking taylor expansion of re in re
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.319 * [taylor]: Taking taylor expansion of im in re
0.319 * [backup-simplify]: Simplify im into im
0.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.319 * [taylor]: Taking taylor expansion of im in re
0.319 * [backup-simplify]: Simplify im into im
0.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.319 * [backup-simplify]: Simplify (* 1 1) into 1
0.320 * [backup-simplify]: Simplify (+ 1 0) into 1
0.320 * [backup-simplify]: Simplify (sqrt 1) into 1
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.323 * [backup-simplify]: Simplify (+ 0 0) into 0
0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.324 * [backup-simplify]: Simplify (+ 1 1) into 2
0.324 * [backup-simplify]: Simplify (sqrt 0) into 0
0.326 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re
0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.326 * [taylor]: Taking taylor expansion of 2.0 in re
0.326 * [backup-simplify]: Simplify 2.0 into 2.0
0.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
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
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.328 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.328 * [taylor]: Taking taylor expansion of re in re
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.328 * [taylor]: Taking taylor expansion of re in re
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (/ 1 1) into 1
0.329 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.329 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.329 * [taylor]: Taking taylor expansion of im in re
0.329 * [backup-simplify]: Simplify im into im
0.329 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.329 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.329 * [taylor]: Taking taylor expansion of im in re
0.329 * [backup-simplify]: Simplify im into im
0.329 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.330 * [backup-simplify]: Simplify (+ 1 0) into 1
0.330 * [backup-simplify]: Simplify (sqrt 1) into 1
0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.334 * [backup-simplify]: Simplify (+ 1 1) into 2
0.335 * [backup-simplify]: Simplify (sqrt 0) into 0
0.336 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0
0.337 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in im
0.337 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
0.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.339 * [taylor]: Taking taylor expansion of +nan.0 in im
0.339 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.339 * [taylor]: Taking taylor expansion of 2.0 in im
0.339 * [backup-simplify]: Simplify 2.0 into 2.0
0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.344 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
0.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
0.346 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
0.346 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.346 * [taylor]: Taking taylor expansion of +nan.0 in im
0.346 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.346 * [taylor]: Taking taylor expansion of 2.0 in im
0.346 * [backup-simplify]: Simplify 2.0 into 2.0
0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.348 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.349 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.349 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.352 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.352 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.353 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.353 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
0.354 * [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))
0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.356 * [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))))))
0.356 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.356 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.356 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.356 * [taylor]: Taking taylor expansion of +nan.0 in im
0.356 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.356 * [taylor]: Taking taylor expansion of 2.0 in im
0.356 * [backup-simplify]: Simplify 2.0 into 2.0
0.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.357 * [taylor]: Taking taylor expansion of +nan.0 in im
0.357 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.357 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.357 * [taylor]: Taking taylor expansion of 2.0 in im
0.357 * [backup-simplify]: Simplify 2.0 into 2.0
0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.357 * [taylor]: Taking taylor expansion of im in im
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.358 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.360 * [backup-simplify]: Simplify (- 0) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.360 * [backup-simplify]: Simplify (- 0) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.362 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.363 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.364 * [backup-simplify]: Simplify (- 0) into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.366 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.367 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [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)))
0.369 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.371 * [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))))))
0.371 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im
0.371 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im
0.371 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
0.371 * [taylor]: Taking taylor expansion of +nan.0 in im
0.371 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.371 * [taylor]: Taking taylor expansion of 2.0 in im
0.371 * [backup-simplify]: Simplify 2.0 into 2.0
0.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.372 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.372 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.372 * [taylor]: Taking taylor expansion of +nan.0 in im
0.372 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.372 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.372 * [taylor]: Taking taylor expansion of 2.0 in im
0.372 * [backup-simplify]: Simplify 2.0 into 2.0
0.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.374 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.374 * [taylor]: Taking taylor expansion of im in im
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 1 into 1
0.375 * [backup-simplify]: Simplify (* 1 1) into 1
0.376 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.379 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify (+ 0 0) into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.380 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
0.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.386 * [backup-simplify]: Simplify (- 0) into 0
0.388 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0)))
0.390 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0)))
0.392 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
0.397 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 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))))))))
0.397 * [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))))
0.397 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0
0.397 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im
0.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.397 * [taylor]: Taking taylor expansion of 2.0 in im
0.397 * [backup-simplify]: Simplify 2.0 into 2.0
0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.401 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im
0.401 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
0.401 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.401 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.401 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.401 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.401 * [taylor]: Taking taylor expansion of -1 in im
0.401 * [backup-simplify]: Simplify -1 into -1
0.401 * [taylor]: Taking taylor expansion of re in im
0.401 * [backup-simplify]: Simplify re into re
0.401 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.401 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.402 * [taylor]: Taking taylor expansion of -1 in im
0.402 * [backup-simplify]: Simplify -1 into -1
0.402 * [taylor]: Taking taylor expansion of re in im
0.402 * [backup-simplify]: Simplify re into re
0.402 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.402 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.402 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.402 * [taylor]: Taking taylor expansion of -1 in im
0.402 * [backup-simplify]: Simplify -1 into -1
0.402 * [taylor]: Taking taylor expansion of im in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.402 * [backup-simplify]: Simplify (/ -1 1) into -1
0.402 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.402 * [taylor]: Taking taylor expansion of -1 in im
0.402 * [backup-simplify]: Simplify -1 into -1
0.402 * [taylor]: Taking taylor expansion of im in im
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 1 into 1
0.403 * [backup-simplify]: Simplify (/ -1 1) into -1
0.403 * [backup-simplify]: Simplify (* -1 -1) into 1
0.403 * [backup-simplify]: Simplify (+ 0 1) into 1
0.404 * [backup-simplify]: Simplify (sqrt 1) into 1
0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.405 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.406 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.406 * [taylor]: Taking taylor expansion of re in im
0.406 * [backup-simplify]: Simplify re into re
0.406 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.406 * [backup-simplify]: Simplify (+ 1 0) into 1
0.406 * [backup-simplify]: Simplify (sqrt 0) into 0
0.407 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
0.407 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.407 * [taylor]: Taking taylor expansion of 2.0 in re
0.407 * [backup-simplify]: Simplify 2.0 into 2.0
0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.408 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.408 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.408 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.408 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.408 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.408 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.408 * [taylor]: Taking taylor expansion of -1 in re
0.408 * [backup-simplify]: Simplify -1 into -1
0.408 * [taylor]: Taking taylor expansion of re in re
0.408 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (/ -1 1) into -1
0.409 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.409 * [taylor]: Taking taylor expansion of -1 in re
0.409 * [backup-simplify]: Simplify -1 into -1
0.409 * [taylor]: Taking taylor expansion of re in re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (/ -1 1) into -1
0.409 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.409 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.409 * [taylor]: Taking taylor expansion of -1 in re
0.409 * [backup-simplify]: Simplify -1 into -1
0.409 * [taylor]: Taking taylor expansion of im in re
0.409 * [backup-simplify]: Simplify im into im
0.409 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.409 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.409 * [taylor]: Taking taylor expansion of -1 in re
0.409 * [backup-simplify]: Simplify -1 into -1
0.409 * [taylor]: Taking taylor expansion of im in re
0.409 * [backup-simplify]: Simplify im into im
0.409 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.410 * [backup-simplify]: Simplify (* -1 -1) into 1
0.410 * [backup-simplify]: Simplify (+ 1 0) into 1
0.410 * [backup-simplify]: Simplify (sqrt 1) into 1
0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.412 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.412 * [taylor]: Taking taylor expansion of re in re
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [backup-simplify]: Simplify (- 1) into -1
0.413 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (- 0) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 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 im) (/ -1 im)) into (/ 1 (pow im 2))
0.416 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.417 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (- 0) into 0
0.418 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.418 * [backup-simplify]: Simplify (sqrt 0) into 0
0.418 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re
0.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
0.418 * [taylor]: Taking taylor expansion of 2.0 in re
0.419 * [backup-simplify]: Simplify 2.0 into 2.0
0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.419 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re
0.419 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
0.419 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.419 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.419 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.419 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.419 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of re in re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ -1 1) into -1
0.420 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.420 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of re in re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (/ -1 1) into -1
0.420 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.420 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of im in re
0.420 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.420 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.420 * [taylor]: Taking taylor expansion of -1 in re
0.420 * [backup-simplify]: Simplify -1 into -1
0.420 * [taylor]: Taking taylor expansion of im in re
0.420 * [backup-simplify]: Simplify im into im
0.420 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.421 * [backup-simplify]: Simplify (* -1 -1) into 1
0.421 * [backup-simplify]: Simplify (+ 1 0) into 1
0.421 * [backup-simplify]: Simplify (sqrt 1) into 1
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.423 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.423 * [taylor]: Taking taylor expansion of re in re
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (/ 1 1) into 1
0.424 * [backup-simplify]: Simplify (- 1) into -1
0.424 * [backup-simplify]: Simplify (+ 1 -1) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (- 0) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.427 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.427 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.428 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (- 0) into 0
0.429 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
0.429 * [backup-simplify]: Simplify (sqrt 0) into 0
0.430 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2))
0.430 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
0.430 * [taylor]: Taking taylor expansion of 0 in im
0.430 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))
0.431 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im
0.431 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im
0.431 * [taylor]: Taking taylor expansion of +nan.0 in im
0.431 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.431 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im
0.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.431 * [taylor]: Taking taylor expansion of 2.0 in im
0.431 * [backup-simplify]: Simplify 2.0 into 2.0
0.431 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.432 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.432 * [taylor]: Taking taylor expansion of im in im
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (* 1 1) into 1
0.434 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.436 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
0.437 * [backup-simplify]: Simplify (- 0) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.441 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.441 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.442 * [backup-simplify]: Simplify (+ 0 0) into 0
0.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [backup-simplify]: Simplify (- 0) into 0
0.444 * [backup-simplify]: Simplify (+ 0 0) into 0
0.445 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4))
0.446 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.448 * [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))))
0.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im
0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.448 * [taylor]: Taking taylor expansion of +nan.0 in im
0.448 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.448 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.448 * [taylor]: Taking taylor expansion of 2.0 in im
0.448 * [backup-simplify]: Simplify 2.0 into 2.0
0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.449 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.449 * [taylor]: Taking taylor expansion of im in im
0.449 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.451 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.458 * [backup-simplify]: Simplify (- 0) into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 0 into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.463 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0
0.464 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0
0.464 * [backup-simplify]: Simplify (+ 0 0) into 0
0.465 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4))
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4))))
0.467 * [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)))))
0.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.468 * [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))))))
0.468 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im
0.469 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im
0.469 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im
0.469 * [taylor]: Taking taylor expansion of +nan.0 in im
0.469 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im
0.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.469 * [taylor]: Taking taylor expansion of 2.0 in im
0.469 * [backup-simplify]: Simplify 2.0 into 2.0
0.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.469 * [taylor]: Taking taylor expansion of (pow im 4) in im
0.469 * [taylor]: Taking taylor expansion of im in im
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.470 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im
0.470 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im
0.470 * [taylor]: Taking taylor expansion of +nan.0 in im
0.471 * [backup-simplify]: Simplify +nan.0 into +nan.0
0.471 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im
0.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
0.471 * [taylor]: Taking taylor expansion of 2.0 in im
0.471 * [backup-simplify]: Simplify 2.0 into 2.0
0.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
0.471 * [taylor]: Taking taylor expansion of (pow im 6) in im
0.471 * [taylor]: Taking taylor expansion of im in im
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.472 * [backup-simplify]: Simplify (* 1 1) into 1
0.472 * [backup-simplify]: Simplify (* 1 1) into 1
0.472 * [backup-simplify]: Simplify (* 1 1) into 1
0.473 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0)
0.473 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0
0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
0.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.484 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.509 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0
0.509 * [backup-simplify]: Simplify (- 0) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.512 * [backup-simplify]: Simplify (- 0) into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1)
0.512 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.512 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.513 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.513 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.513 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.513 * [taylor]: Taking taylor expansion of (* re re) in im
0.513 * [taylor]: Taking taylor expansion of re in im
0.513 * [backup-simplify]: Simplify re into re
0.513 * [taylor]: Taking taylor expansion of re in im
0.513 * [backup-simplify]: Simplify re into re
0.513 * [taylor]: Taking taylor expansion of (* im im) in im
0.513 * [taylor]: Taking taylor expansion of im in im
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [taylor]: Taking taylor expansion of im in im
0.513 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify 1 into 1
0.513 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.514 * [backup-simplify]: Simplify (* 0 0) into 0
0.514 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.514 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.514 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.515 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.515 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.516 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.516 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.516 * [taylor]: Taking taylor expansion of (* re re) in re
0.516 * [taylor]: Taking taylor expansion of re in re
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [taylor]: Taking taylor expansion of re in re
0.516 * [backup-simplify]: Simplify 0 into 0
0.516 * [backup-simplify]: Simplify 1 into 1
0.516 * [taylor]: Taking taylor expansion of (* im im) in re
0.516 * [taylor]: Taking taylor expansion of im in re
0.516 * [backup-simplify]: Simplify im into im
0.516 * [taylor]: Taking taylor expansion of im in re
0.516 * [backup-simplify]: Simplify im into im
0.516 * [backup-simplify]: Simplify (* 0 0) into 0
0.516 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.517 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.517 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.517 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.517 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.518 * [backup-simplify]: Simplify (+ 0 0) into 0
0.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.518 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.518 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.518 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.518 * [taylor]: Taking taylor expansion of (* re re) in re
0.518 * [taylor]: Taking taylor expansion of re in re
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.518 * [taylor]: Taking taylor expansion of re in re
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 1 into 1
0.518 * [taylor]: Taking taylor expansion of (* im im) in re
0.518 * [taylor]: Taking taylor expansion of im in re
0.519 * [backup-simplify]: Simplify im into im
0.519 * [taylor]: Taking taylor expansion of im in re
0.519 * [backup-simplify]: Simplify im into im
0.519 * [backup-simplify]: Simplify (* 0 0) into 0
0.519 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.519 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.519 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.519 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.520 * [backup-simplify]: Simplify (+ 0 0) into 0
0.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.520 * [taylor]: Taking taylor expansion of im in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [taylor]: Taking taylor expansion of 0 in im
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.521 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.521 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.522 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.522 * [taylor]: Taking taylor expansion of 1/2 in im
0.522 * [backup-simplify]: Simplify 1/2 into 1/2
0.522 * [taylor]: Taking taylor expansion of im in im
0.522 * [backup-simplify]: Simplify 0 into 0
0.522 * [backup-simplify]: Simplify 1 into 1
0.522 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify 0 into 0
0.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.524 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.524 * [backup-simplify]: Simplify (+ 0 0) into 0
0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.524 * [taylor]: Taking taylor expansion of 0 in im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.525 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.525 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.525 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.525 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.525 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.525 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.525 * [taylor]: Taking taylor expansion of re in im
0.525 * [backup-simplify]: Simplify re into re
0.525 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.525 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.525 * [taylor]: Taking taylor expansion of re in im
0.525 * [backup-simplify]: Simplify re into re
0.525 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.525 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.525 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.525 * [taylor]: Taking taylor expansion of im in im
0.525 * [backup-simplify]: Simplify 0 into 0
0.525 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.526 * [taylor]: Taking taylor expansion of im in im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.527 * [backup-simplify]: Simplify (+ 0 1) into 1
0.527 * [backup-simplify]: Simplify (sqrt 1) into 1
0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.529 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.529 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.529 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.529 * [backup-simplify]: Simplify (/ 1 1) into 1
0.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.529 * [taylor]: Taking taylor expansion of re in re
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify 1 into 1
0.530 * [backup-simplify]: Simplify (/ 1 1) into 1
0.530 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.530 * [taylor]: Taking taylor expansion of im in re
0.530 * [backup-simplify]: Simplify im into im
0.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.530 * [backup-simplify]: Simplify (* 1 1) into 1
0.530 * [backup-simplify]: Simplify (+ 1 0) into 1
0.530 * [backup-simplify]: Simplify (sqrt 1) into 1
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.532 * [backup-simplify]: Simplify (+ 0 0) into 0
0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.532 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.533 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.533 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.533 * [taylor]: Taking taylor expansion of re in re
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.533 * [taylor]: Taking taylor expansion of re in re
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify 1 into 1
0.533 * [backup-simplify]: Simplify (/ 1 1) into 1
0.533 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.533 * [taylor]: Taking taylor expansion of im in re
0.533 * [backup-simplify]: Simplify im into im
0.533 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.533 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.533 * [taylor]: Taking taylor expansion of im in re
0.533 * [backup-simplify]: Simplify im into im
0.533 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.534 * [backup-simplify]: Simplify (* 1 1) into 1
0.534 * [backup-simplify]: Simplify (+ 1 0) into 1
0.534 * [backup-simplify]: Simplify (sqrt 1) into 1
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.536 * [backup-simplify]: Simplify (+ 0 0) into 0
0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.536 * [taylor]: Taking taylor expansion of 1 in im
0.536 * [backup-simplify]: Simplify 1 into 1
0.536 * [taylor]: Taking taylor expansion of 0 in im
0.536 * [backup-simplify]: Simplify 0 into 0
0.536 * [backup-simplify]: Simplify 1 into 1
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.538 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.538 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.539 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.539 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.539 * [taylor]: Taking taylor expansion of 1/2 in im
0.539 * [backup-simplify]: Simplify 1/2 into 1/2
0.539 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.539 * [taylor]: Taking taylor expansion of im in im
0.539 * [backup-simplify]: Simplify 0 into 0
0.539 * [backup-simplify]: Simplify 1 into 1
0.539 * [backup-simplify]: Simplify (* 1 1) into 1
0.540 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
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
0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.543 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.543 * [backup-simplify]: Simplify (+ 0 0) into 0
0.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.543 * [taylor]: Taking taylor expansion of 0 in im
0.543 * [backup-simplify]: Simplify 0 into 0
0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.545 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.545 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.545 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.545 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.545 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.545 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.545 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.545 * [taylor]: Taking taylor expansion of -1 in im
0.545 * [backup-simplify]: Simplify -1 into -1
0.545 * [taylor]: Taking taylor expansion of re in im
0.545 * [backup-simplify]: Simplify re into re
0.545 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.545 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.545 * [taylor]: Taking taylor expansion of -1 in im
0.545 * [backup-simplify]: Simplify -1 into -1
0.545 * [taylor]: Taking taylor expansion of re in im
0.545 * [backup-simplify]: Simplify re into re
0.545 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.545 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.545 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.545 * [taylor]: Taking taylor expansion of -1 in im
0.545 * [backup-simplify]: Simplify -1 into -1
0.545 * [taylor]: Taking taylor expansion of im in im
0.545 * [backup-simplify]: Simplify 0 into 0
0.545 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (/ -1 1) into -1
0.546 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.546 * [taylor]: Taking taylor expansion of -1 in im
0.546 * [backup-simplify]: Simplify -1 into -1
0.546 * [taylor]: Taking taylor expansion of im in im
0.546 * [backup-simplify]: Simplify 0 into 0
0.546 * [backup-simplify]: Simplify 1 into 1
0.546 * [backup-simplify]: Simplify (/ -1 1) into -1
0.546 * [backup-simplify]: Simplify (* -1 -1) into 1
0.547 * [backup-simplify]: Simplify (+ 0 1) into 1
0.547 * [backup-simplify]: Simplify (sqrt 1) into 1
0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.548 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.548 * [backup-simplify]: Simplify (+ 0 0) into 0
0.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.549 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.549 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.549 * [taylor]: Taking taylor expansion of -1 in re
0.549 * [backup-simplify]: Simplify -1 into -1
0.549 * [taylor]: Taking taylor expansion of re in re
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.549 * [backup-simplify]: Simplify (/ -1 1) into -1
0.549 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.549 * [taylor]: Taking taylor expansion of -1 in re
0.549 * [backup-simplify]: Simplify -1 into -1
0.549 * [taylor]: Taking taylor expansion of re in re
0.549 * [backup-simplify]: Simplify 0 into 0
0.549 * [backup-simplify]: Simplify 1 into 1
0.550 * [backup-simplify]: Simplify (/ -1 1) into -1
0.550 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.550 * [taylor]: Taking taylor expansion of -1 in re
0.550 * [backup-simplify]: Simplify -1 into -1
0.550 * [taylor]: Taking taylor expansion of im in re
0.550 * [backup-simplify]: Simplify im into im
0.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.550 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.550 * [taylor]: Taking taylor expansion of -1 in re
0.550 * [backup-simplify]: Simplify -1 into -1
0.550 * [taylor]: Taking taylor expansion of im in re
0.550 * [backup-simplify]: Simplify im into im
0.550 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.550 * [backup-simplify]: Simplify (* -1 -1) into 1
0.551 * [backup-simplify]: Simplify (+ 1 0) into 1
0.551 * [backup-simplify]: Simplify (sqrt 1) into 1
0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.552 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.553 * [backup-simplify]: Simplify (+ 0 0) into 0
0.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.553 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.553 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.553 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.553 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.553 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.553 * [taylor]: Taking taylor expansion of -1 in re
0.553 * [backup-simplify]: Simplify -1 into -1
0.553 * [taylor]: Taking taylor expansion of re in re
0.553 * [backup-simplify]: Simplify 0 into 0
0.553 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (/ -1 1) into -1
0.554 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.554 * [taylor]: Taking taylor expansion of -1 in re
0.554 * [backup-simplify]: Simplify -1 into -1
0.554 * [taylor]: Taking taylor expansion of re in re
0.554 * [backup-simplify]: Simplify 0 into 0
0.554 * [backup-simplify]: Simplify 1 into 1
0.554 * [backup-simplify]: Simplify (/ -1 1) into -1
0.554 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.554 * [taylor]: Taking taylor expansion of -1 in re
0.554 * [backup-simplify]: Simplify -1 into -1
0.554 * [taylor]: Taking taylor expansion of im in re
0.554 * [backup-simplify]: Simplify im into im
0.554 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.554 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.554 * [taylor]: Taking taylor expansion of -1 in re
0.554 * [backup-simplify]: Simplify -1 into -1
0.554 * [taylor]: Taking taylor expansion of im in re
0.554 * [backup-simplify]: Simplify im into im
0.554 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.555 * [backup-simplify]: Simplify (* -1 -1) into 1
0.555 * [backup-simplify]: Simplify (+ 1 0) into 1
0.555 * [backup-simplify]: Simplify (sqrt 1) into 1
0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.556 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.557 * [backup-simplify]: Simplify (+ 0 0) into 0
0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.557 * [taylor]: Taking taylor expansion of 1 in im
0.557 * [backup-simplify]: Simplify 1 into 1
0.557 * [taylor]: Taking taylor expansion of 0 in im
0.557 * [backup-simplify]: Simplify 0 into 0
0.557 * [backup-simplify]: Simplify 1 into 1
0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.559 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.559 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.559 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.560 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.560 * [taylor]: Taking taylor expansion of 1/2 in im
0.560 * [backup-simplify]: Simplify 1/2 into 1/2
0.560 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.560 * [taylor]: Taking taylor expansion of im in im
0.560 * [backup-simplify]: Simplify 0 into 0
0.560 * [backup-simplify]: Simplify 1 into 1
0.561 * [backup-simplify]: Simplify (* 1 1) into 1
0.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify 0 into 0
0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.564 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.564 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.564 * [backup-simplify]: Simplify (+ 0 0) into 0
0.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.565 * [taylor]: Taking taylor expansion of 0 in im
0.565 * [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 (* -1 re)
0.566 * * * [progress]: simplifying candidates
0.567 * [simplify]: Simplifying:
  (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 (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))
  (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)
  (* 2 re)
  0
  (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re)))))))
  (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))))
  0
  im
  re
  (* -1 re)
0.567 * * [simplify]: iteration 0: 86 enodes
0.581 * * [simplify]: iteration 1: 187 enodes
0.629 * * [simplify]: iteration 2: 612 enodes
1.090 * * [simplify]: iteration 3: 3673 enodes
2.232 * * [simplify]: iteration complete: 5000 enodes
2.232 * * [simplify]: Extracting #0: cost 44 inf + 0
2.233 * * [simplify]: Extracting #1: cost 428 inf + 9
2.237 * * [simplify]: Extracting #2: cost 1049 inf + 1193
2.244 * * [simplify]: Extracting #3: cost 280 inf + 7718
2.255 * * [simplify]: Extracting #4: cost 10 inf + 9894
2.263 * * [simplify]: Extracting #5: cost 0 inf + 9970
2.274 * * [simplify]: Extracting #6: cost 0 inf + 9969
2.286 * [simplify]: Simplified to:
  (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)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma (hypot re im) (+ (- re) (hypot re im)) (* re re))
  (fma re (- re) (* (hypot re im) (hypot re im)))
  (- (hypot re im) re)
  (+ re (hypot re im))
  (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)))
  (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  (sqrt (* 2.0 (+ (pow (hypot re im) 3) (pow re 3))))
  (sqrt (fma (hypot re im) (+ (- re) (hypot re im)) (* re re)))
  (sqrt (* 2.0 (fma re (- re) (* (hypot re im) (hypot re im)))))
  (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 (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))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ im re)
  (* re 2)
  0
  (* (* +nan.0 (sqrt 2.0)) (fma re (- re) (- im re)))
  (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))))
  0
  im
  re
  (- re)
2.286 * * * [progress]: adding candidates to table
2.613 * * [progress]: iteration 2 / 4
2.613 * * * [progress]: picking best candidate
2.642 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) 2.0))))>
2.642 * * * [progress]: localizing error
2.679 * * * [progress]: generating rewritten candidates
2.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
2.721 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1)
2.730 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 1)
2.735 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 2)
2.739 * * * [progress]: generating series expansions
2.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
2.739 * [backup-simplify]: Simplify (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) into (+ (hypot re im) re)
2.739 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
2.739 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
2.739 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.739 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.739 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.739 * [taylor]: Taking taylor expansion of (* re re) in im
2.739 * [taylor]: Taking taylor expansion of re in im
2.739 * [backup-simplify]: Simplify re into re
2.739 * [taylor]: Taking taylor expansion of re in im
2.739 * [backup-simplify]: Simplify re into re
2.739 * [taylor]: Taking taylor expansion of (* im im) in im
2.739 * [taylor]: Taking taylor expansion of im in im
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [taylor]: Taking taylor expansion of im in im
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 1 into 1
2.739 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.740 * [backup-simplify]: Simplify (* 0 0) into 0
2.740 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.740 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.740 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.741 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.741 * [backup-simplify]: Simplify (+ 0 0) into 0
2.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.741 * [taylor]: Taking taylor expansion of re in im
2.741 * [backup-simplify]: Simplify re into re
2.741 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.741 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.741 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.741 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.741 * [taylor]: Taking taylor expansion of (* re re) in re
2.741 * [taylor]: Taking taylor expansion of re in re
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [taylor]: Taking taylor expansion of re in re
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [taylor]: Taking taylor expansion of (* im im) in re
2.741 * [taylor]: Taking taylor expansion of im in re
2.741 * [backup-simplify]: Simplify im into im
2.741 * [taylor]: Taking taylor expansion of im in re
2.741 * [backup-simplify]: Simplify im into im
2.742 * [backup-simplify]: Simplify (* 0 0) into 0
2.742 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.742 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.742 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.742 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.743 * [backup-simplify]: Simplify (+ 0 0) into 0
2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.743 * [taylor]: Taking taylor expansion of re in re
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.743 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.743 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.743 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.743 * [taylor]: Taking taylor expansion of (* re re) in re
2.743 * [taylor]: Taking taylor expansion of re in re
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of re in re
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [taylor]: Taking taylor expansion of (* im im) in re
2.743 * [taylor]: Taking taylor expansion of im in re
2.743 * [backup-simplify]: Simplify im into im
2.743 * [taylor]: Taking taylor expansion of im in re
2.743 * [backup-simplify]: Simplify im into im
2.743 * [backup-simplify]: Simplify (* 0 0) into 0
2.743 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.743 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.743 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.744 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.744 * [backup-simplify]: Simplify (+ 0 0) into 0
2.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.744 * [taylor]: Taking taylor expansion of re in re
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (+ im 0) into im
2.744 * [taylor]: Taking taylor expansion of im in im
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify (+ 0 1) into 1
2.745 * [taylor]: Taking taylor expansion of 1 in im
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.746 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.746 * [backup-simplify]: Simplify (+ 1 0) into 1
2.746 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.746 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.746 * [taylor]: Taking taylor expansion of 1/2 in im
2.746 * [backup-simplify]: Simplify 1/2 into 1/2
2.746 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.746 * [taylor]: Taking taylor expansion of im in im
2.746 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify 1 into 1
2.747 * [backup-simplify]: Simplify (/ 1 1) into 1
2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.749 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.749 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.749 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [taylor]: Taking taylor expansion of 0 in im
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.750 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify 0 into 0
2.751 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.751 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
2.751 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
2.751 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
2.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.751 * [taylor]: Taking taylor expansion of re in im
2.751 * [backup-simplify]: Simplify re into re
2.751 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.751 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.751 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.752 * [taylor]: Taking taylor expansion of re in im
2.752 * [backup-simplify]: Simplify re into re
2.752 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.752 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.752 * [taylor]: Taking taylor expansion of re in im
2.752 * [backup-simplify]: Simplify re into re
2.752 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.752 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.752 * [taylor]: Taking taylor expansion of im in im
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.752 * [backup-simplify]: Simplify (/ 1 1) into 1
2.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.752 * [taylor]: Taking taylor expansion of im in im
2.752 * [backup-simplify]: Simplify 0 into 0
2.752 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (/ 1 1) into 1
2.753 * [backup-simplify]: Simplify (* 1 1) into 1
2.753 * [backup-simplify]: Simplify (+ 0 1) into 1
2.754 * [backup-simplify]: Simplify (sqrt 1) into 1
2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.757 * [backup-simplify]: Simplify (+ 0 0) into 0
2.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.757 * [taylor]: Taking taylor expansion of re in re
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (/ 1 1) into 1
2.758 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.758 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.758 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.758 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.758 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.758 * [taylor]: Taking taylor expansion of re in re
2.758 * [backup-simplify]: Simplify 0 into 0
2.758 * [backup-simplify]: Simplify 1 into 1
2.758 * [backup-simplify]: Simplify (/ 1 1) into 1
2.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.759 * [taylor]: Taking taylor expansion of re in re
2.759 * [backup-simplify]: Simplify 0 into 0
2.759 * [backup-simplify]: Simplify 1 into 1
2.759 * [backup-simplify]: Simplify (/ 1 1) into 1
2.759 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.759 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.759 * [taylor]: Taking taylor expansion of im in re
2.759 * [backup-simplify]: Simplify im into im
2.759 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.759 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.759 * [taylor]: Taking taylor expansion of im in re
2.759 * [backup-simplify]: Simplify im into im
2.759 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.760 * [backup-simplify]: Simplify (* 1 1) into 1
2.760 * [backup-simplify]: Simplify (+ 1 0) into 1
2.760 * [backup-simplify]: Simplify (sqrt 1) into 1
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.763 * [backup-simplify]: Simplify (+ 0 0) into 0
2.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.764 * [taylor]: Taking taylor expansion of re in re
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.764 * [backup-simplify]: Simplify (/ 1 1) into 1
2.764 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.764 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.764 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.764 * [taylor]: Taking taylor expansion of re in re
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (/ 1 1) into 1
2.765 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.765 * [taylor]: Taking taylor expansion of re in re
2.765 * [backup-simplify]: Simplify 0 into 0
2.765 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (/ 1 1) into 1
2.765 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.765 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.765 * [taylor]: Taking taylor expansion of im in re
2.765 * [backup-simplify]: Simplify im into im
2.765 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.765 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.765 * [taylor]: Taking taylor expansion of im in re
2.765 * [backup-simplify]: Simplify im into im
2.766 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.766 * [backup-simplify]: Simplify (* 1 1) into 1
2.766 * [backup-simplify]: Simplify (+ 1 0) into 1
2.767 * [backup-simplify]: Simplify (sqrt 1) into 1
2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.769 * [backup-simplify]: Simplify (+ 0 0) into 0
2.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.770 * [backup-simplify]: Simplify (+ 1 1) into 2
2.770 * [taylor]: Taking taylor expansion of 2 in im
2.770 * [backup-simplify]: Simplify 2 into 2
2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.776 * [backup-simplify]: Simplify (+ 0 0) into 0
2.776 * [taylor]: Taking taylor expansion of 0 in im
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 2 into 2
2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.780 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.780 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.781 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.781 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.781 * [taylor]: Taking taylor expansion of 1/2 in im
2.782 * [backup-simplify]: Simplify 1/2 into 1/2
2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.782 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.782 * [taylor]: Taking taylor expansion of im in im
2.782 * [backup-simplify]: Simplify 0 into 0
2.782 * [backup-simplify]: Simplify 1 into 1
2.782 * [backup-simplify]: Simplify (* 1 1) into 1
2.782 * [backup-simplify]: Simplify (/ 1 1) into 1
2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.789 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.789 * [backup-simplify]: Simplify (+ 0 0) into 0
2.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.790 * [backup-simplify]: Simplify (+ 0 0) into 0
2.790 * [taylor]: Taking taylor expansion of 0 in im
2.790 * [backup-simplify]: Simplify 0 into 0
2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.793 * [backup-simplify]: Simplify 0 into 0
2.793 * [backup-simplify]: Simplify 0 into 0
2.793 * [backup-simplify]: Simplify 0 into 0
2.793 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.794 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.794 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.794 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.794 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.794 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.794 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.794 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.794 * [taylor]: Taking taylor expansion of -1 in im
2.794 * [backup-simplify]: Simplify -1 into -1
2.794 * [taylor]: Taking taylor expansion of re in im
2.794 * [backup-simplify]: Simplify re into re
2.794 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.794 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.794 * [taylor]: Taking taylor expansion of -1 in im
2.794 * [backup-simplify]: Simplify -1 into -1
2.794 * [taylor]: Taking taylor expansion of re in im
2.794 * [backup-simplify]: Simplify re into re
2.794 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.794 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.794 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.794 * [taylor]: Taking taylor expansion of -1 in im
2.794 * [backup-simplify]: Simplify -1 into -1
2.794 * [taylor]: Taking taylor expansion of im in im
2.794 * [backup-simplify]: Simplify 0 into 0
2.794 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (/ -1 1) into -1
2.795 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.795 * [taylor]: Taking taylor expansion of -1 in im
2.795 * [backup-simplify]: Simplify -1 into -1
2.795 * [taylor]: Taking taylor expansion of im in im
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (/ -1 1) into -1
2.796 * [backup-simplify]: Simplify (* -1 -1) into 1
2.796 * [backup-simplify]: Simplify (+ 0 1) into 1
2.797 * [backup-simplify]: Simplify (sqrt 1) into 1
2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.799 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.800 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.800 * [taylor]: Taking taylor expansion of re in im
2.800 * [backup-simplify]: Simplify re into re
2.800 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.800 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.800 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.800 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.800 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.800 * [taylor]: Taking taylor expansion of -1 in re
2.800 * [backup-simplify]: Simplify -1 into -1
2.800 * [taylor]: Taking taylor expansion of re in re
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.801 * [backup-simplify]: Simplify (/ -1 1) into -1
2.801 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.801 * [taylor]: Taking taylor expansion of -1 in re
2.801 * [backup-simplify]: Simplify -1 into -1
2.801 * [taylor]: Taking taylor expansion of re in re
2.801 * [backup-simplify]: Simplify 0 into 0
2.801 * [backup-simplify]: Simplify 1 into 1
2.801 * [backup-simplify]: Simplify (/ -1 1) into -1
2.801 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.801 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.801 * [taylor]: Taking taylor expansion of -1 in re
2.801 * [backup-simplify]: Simplify -1 into -1
2.801 * [taylor]: Taking taylor expansion of im in re
2.801 * [backup-simplify]: Simplify im into im
2.802 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.802 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.802 * [taylor]: Taking taylor expansion of -1 in re
2.802 * [backup-simplify]: Simplify -1 into -1
2.802 * [taylor]: Taking taylor expansion of im in re
2.802 * [backup-simplify]: Simplify im into im
2.802 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.802 * [backup-simplify]: Simplify (* -1 -1) into 1
2.803 * [backup-simplify]: Simplify (+ 1 0) into 1
2.803 * [backup-simplify]: Simplify (sqrt 1) into 1
2.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.806 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.806 * [backup-simplify]: Simplify (+ 0 0) into 0
2.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.807 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.807 * [taylor]: Taking taylor expansion of re in re
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 1 into 1
2.807 * [backup-simplify]: Simplify (/ 1 1) into 1
2.807 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.807 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.807 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.807 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.807 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.808 * [taylor]: Taking taylor expansion of -1 in re
2.808 * [backup-simplify]: Simplify -1 into -1
2.808 * [taylor]: Taking taylor expansion of re in re
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify 1 into 1
2.808 * [backup-simplify]: Simplify (/ -1 1) into -1
2.808 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.808 * [taylor]: Taking taylor expansion of -1 in re
2.808 * [backup-simplify]: Simplify -1 into -1
2.808 * [taylor]: Taking taylor expansion of re in re
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify 1 into 1
2.809 * [backup-simplify]: Simplify (/ -1 1) into -1
2.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.809 * [taylor]: Taking taylor expansion of -1 in re
2.809 * [backup-simplify]: Simplify -1 into -1
2.809 * [taylor]: Taking taylor expansion of im in re
2.809 * [backup-simplify]: Simplify im into im
2.809 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.809 * [taylor]: Taking taylor expansion of -1 in re
2.809 * [backup-simplify]: Simplify -1 into -1
2.809 * [taylor]: Taking taylor expansion of im in re
2.809 * [backup-simplify]: Simplify im into im
2.809 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.809 * [backup-simplify]: Simplify (* -1 -1) into 1
2.810 * [backup-simplify]: Simplify (+ 1 0) into 1
2.810 * [backup-simplify]: Simplify (sqrt 1) into 1
2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.812 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.813 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.813 * [taylor]: Taking taylor expansion of re in re
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 1 into 1
2.814 * [backup-simplify]: Simplify (/ 1 1) into 1
2.814 * [backup-simplify]: Simplify (- 1) into -1
2.815 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.815 * [taylor]: Taking taylor expansion of 0 in im
2.815 * [backup-simplify]: Simplify 0 into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.816 * [backup-simplify]: Simplify (- 0) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [taylor]: Taking taylor expansion of 0 in im
2.816 * [backup-simplify]: Simplify 0 into 0
2.816 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.819 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.822 * [backup-simplify]: Simplify (- 0) into 0
2.822 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.822 * [taylor]: Taking taylor expansion of 1/2 in im
2.822 * [backup-simplify]: Simplify 1/2 into 1/2
2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.822 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.822 * [taylor]: Taking taylor expansion of im in im
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (* 1 1) into 1
2.823 * [backup-simplify]: Simplify (/ 1 1) into 1
2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 0 into 0
2.825 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.827 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.828 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.828 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.828 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify (- 0) into 0
2.831 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [taylor]: Taking taylor expansion of 0 in im
2.831 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1)
2.834 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ (hypot re im) re)
2.834 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
2.834 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
2.834 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.834 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.834 * [taylor]: Taking taylor expansion of (* re re) in im
2.834 * [taylor]: Taking taylor expansion of re in im
2.834 * [backup-simplify]: Simplify re into re
2.834 * [taylor]: Taking taylor expansion of re in im
2.834 * [backup-simplify]: Simplify re into re
2.834 * [taylor]: Taking taylor expansion of (* im im) in im
2.834 * [taylor]: Taking taylor expansion of im in im
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.834 * [taylor]: Taking taylor expansion of im in im
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.834 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.835 * [backup-simplify]: Simplify (* 0 0) into 0
2.835 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.835 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.835 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.836 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.836 * [backup-simplify]: Simplify (+ 0 0) into 0
2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.836 * [taylor]: Taking taylor expansion of re in im
2.836 * [backup-simplify]: Simplify re into re
2.836 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.836 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.836 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.836 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.836 * [taylor]: Taking taylor expansion of (* re re) in re
2.836 * [taylor]: Taking taylor expansion of re in re
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [taylor]: Taking taylor expansion of re in re
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [taylor]: Taking taylor expansion of (* im im) in re
2.836 * [taylor]: Taking taylor expansion of im in re
2.837 * [backup-simplify]: Simplify im into im
2.837 * [taylor]: Taking taylor expansion of im in re
2.837 * [backup-simplify]: Simplify im into im
2.837 * [backup-simplify]: Simplify (* 0 0) into 0
2.837 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.837 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.837 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.838 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.838 * [backup-simplify]: Simplify (+ 0 0) into 0
2.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.839 * [taylor]: Taking taylor expansion of re in re
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.839 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.839 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.839 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.839 * [taylor]: Taking taylor expansion of (* re re) in re
2.839 * [taylor]: Taking taylor expansion of re in re
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [taylor]: Taking taylor expansion of re in re
2.839 * [backup-simplify]: Simplify 0 into 0
2.839 * [backup-simplify]: Simplify 1 into 1
2.839 * [taylor]: Taking taylor expansion of (* im im) in re
2.839 * [taylor]: Taking taylor expansion of im in re
2.839 * [backup-simplify]: Simplify im into im
2.839 * [taylor]: Taking taylor expansion of im in re
2.839 * [backup-simplify]: Simplify im into im
2.839 * [backup-simplify]: Simplify (* 0 0) into 0
2.839 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.839 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.840 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.840 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.840 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.840 * [taylor]: Taking taylor expansion of re in re
2.840 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [backup-simplify]: Simplify (+ im 0) into im
2.840 * [taylor]: Taking taylor expansion of im in im
2.840 * [backup-simplify]: Simplify 0 into 0
2.840 * [backup-simplify]: Simplify 1 into 1
2.840 * [backup-simplify]: Simplify 0 into 0
2.841 * [backup-simplify]: Simplify (+ 0 1) into 1
2.841 * [taylor]: Taking taylor expansion of 1 in im
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.842 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.842 * [backup-simplify]: Simplify (+ 1 0) into 1
2.842 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.842 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.842 * [taylor]: Taking taylor expansion of 1/2 in im
2.842 * [backup-simplify]: Simplify 1/2 into 1/2
2.843 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.843 * [taylor]: Taking taylor expansion of im in im
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify (/ 1 1) into 1
2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.845 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.845 * [backup-simplify]: Simplify (+ 0 0) into 0
2.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.846 * [taylor]: Taking taylor expansion of 0 in im
2.846 * [backup-simplify]: Simplify 0 into 0
2.846 * [backup-simplify]: Simplify 0 into 0
2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.847 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
2.847 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
2.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.847 * [taylor]: Taking taylor expansion of re in im
2.847 * [backup-simplify]: Simplify re into re
2.847 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.847 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.847 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.847 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.847 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.847 * [taylor]: Taking taylor expansion of re in im
2.847 * [backup-simplify]: Simplify re into re
2.847 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.847 * [taylor]: Taking taylor expansion of re in im
2.847 * [backup-simplify]: Simplify re into re
2.847 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.847 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.847 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.847 * [taylor]: Taking taylor expansion of im in im
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (/ 1 1) into 1
2.848 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.848 * [taylor]: Taking taylor expansion of im in im
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (/ 1 1) into 1
2.848 * [backup-simplify]: Simplify (* 1 1) into 1
2.849 * [backup-simplify]: Simplify (+ 0 1) into 1
2.849 * [backup-simplify]: Simplify (sqrt 1) into 1
2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.850 * [backup-simplify]: Simplify (+ 0 0) into 0
2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.851 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.851 * [taylor]: Taking taylor expansion of re in re
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (/ 1 1) into 1
2.851 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.851 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.851 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.851 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.851 * [taylor]: Taking taylor expansion of re in re
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (/ 1 1) into 1
2.851 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.852 * [taylor]: Taking taylor expansion of re in re
2.852 * [backup-simplify]: Simplify 0 into 0
2.852 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (/ 1 1) into 1
2.852 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.852 * [taylor]: Taking taylor expansion of im in re
2.852 * [backup-simplify]: Simplify im into im
2.852 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.852 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.852 * [taylor]: Taking taylor expansion of im in re
2.852 * [backup-simplify]: Simplify im into im
2.852 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.852 * [backup-simplify]: Simplify (* 1 1) into 1
2.852 * [backup-simplify]: Simplify (+ 1 0) into 1
2.853 * [backup-simplify]: Simplify (sqrt 1) into 1
2.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.854 * [backup-simplify]: Simplify (+ 0 0) into 0
2.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.855 * [taylor]: Taking taylor expansion of re in re
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (/ 1 1) into 1
2.855 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.855 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.855 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.855 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.855 * [taylor]: Taking taylor expansion of re in re
2.855 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify 1 into 1
2.855 * [backup-simplify]: Simplify (/ 1 1) into 1
2.855 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.856 * [taylor]: Taking taylor expansion of re in re
2.856 * [backup-simplify]: Simplify 0 into 0
2.856 * [backup-simplify]: Simplify 1 into 1
2.856 * [backup-simplify]: Simplify (/ 1 1) into 1
2.856 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.856 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.856 * [taylor]: Taking taylor expansion of im in re
2.856 * [backup-simplify]: Simplify im into im
2.856 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.856 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.856 * [taylor]: Taking taylor expansion of im in re
2.856 * [backup-simplify]: Simplify im into im
2.856 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.856 * [backup-simplify]: Simplify (* 1 1) into 1
2.856 * [backup-simplify]: Simplify (+ 1 0) into 1
2.857 * [backup-simplify]: Simplify (sqrt 1) into 1
2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.858 * [backup-simplify]: Simplify (+ 0 0) into 0
2.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.859 * [backup-simplify]: Simplify (+ 1 1) into 2
2.859 * [taylor]: Taking taylor expansion of 2 in im
2.859 * [backup-simplify]: Simplify 2 into 2
2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.860 * [backup-simplify]: Simplify (+ 0 0) into 0
2.860 * [taylor]: Taking taylor expansion of 0 in im
2.860 * [backup-simplify]: Simplify 0 into 0
2.860 * [backup-simplify]: Simplify 2 into 2
2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.862 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.862 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.863 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.863 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.863 * [taylor]: Taking taylor expansion of 1/2 in im
2.863 * [backup-simplify]: Simplify 1/2 into 1/2
2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.863 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.863 * [taylor]: Taking taylor expansion of im in im
2.863 * [backup-simplify]: Simplify 0 into 0
2.863 * [backup-simplify]: Simplify 1 into 1
2.863 * [backup-simplify]: Simplify (* 1 1) into 1
2.863 * [backup-simplify]: Simplify (/ 1 1) into 1
2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.868 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.869 * [backup-simplify]: Simplify (+ 0 0) into 0
2.869 * [taylor]: Taking taylor expansion of 0 in im
2.869 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.872 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.872 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.872 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.872 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.873 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.873 * [taylor]: Taking taylor expansion of -1 in im
2.873 * [backup-simplify]: Simplify -1 into -1
2.873 * [taylor]: Taking taylor expansion of re in im
2.873 * [backup-simplify]: Simplify re into re
2.873 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.873 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.873 * [taylor]: Taking taylor expansion of -1 in im
2.873 * [backup-simplify]: Simplify -1 into -1
2.873 * [taylor]: Taking taylor expansion of re in im
2.873 * [backup-simplify]: Simplify re into re
2.873 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.873 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.873 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.873 * [taylor]: Taking taylor expansion of -1 in im
2.873 * [backup-simplify]: Simplify -1 into -1
2.873 * [taylor]: Taking taylor expansion of im in im
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (/ -1 1) into -1
2.874 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.874 * [taylor]: Taking taylor expansion of -1 in im
2.874 * [backup-simplify]: Simplify -1 into -1
2.874 * [taylor]: Taking taylor expansion of im in im
2.874 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify 1 into 1
2.874 * [backup-simplify]: Simplify (/ -1 1) into -1
2.875 * [backup-simplify]: Simplify (* -1 -1) into 1
2.875 * [backup-simplify]: Simplify (+ 0 1) into 1
2.875 * [backup-simplify]: Simplify (sqrt 1) into 1
2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.878 * [backup-simplify]: Simplify (+ 0 0) into 0
2.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.879 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.879 * [taylor]: Taking taylor expansion of re in im
2.879 * [backup-simplify]: Simplify re into re
2.879 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.879 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.879 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.879 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.879 * [taylor]: Taking taylor expansion of -1 in re
2.879 * [backup-simplify]: Simplify -1 into -1
2.879 * [taylor]: Taking taylor expansion of re in re
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (/ -1 1) into -1
2.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.880 * [taylor]: Taking taylor expansion of -1 in re
2.880 * [backup-simplify]: Simplify -1 into -1
2.880 * [taylor]: Taking taylor expansion of re in re
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (/ -1 1) into -1
2.880 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.880 * [taylor]: Taking taylor expansion of -1 in re
2.880 * [backup-simplify]: Simplify -1 into -1
2.880 * [taylor]: Taking taylor expansion of im in re
2.880 * [backup-simplify]: Simplify im into im
2.880 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.880 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.881 * [taylor]: Taking taylor expansion of -1 in re
2.881 * [backup-simplify]: Simplify -1 into -1
2.881 * [taylor]: Taking taylor expansion of im in re
2.881 * [backup-simplify]: Simplify im into im
2.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.881 * [backup-simplify]: Simplify (* -1 -1) into 1
2.881 * [backup-simplify]: Simplify (+ 1 0) into 1
2.882 * [backup-simplify]: Simplify (sqrt 1) into 1
2.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.885 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.885 * [taylor]: Taking taylor expansion of re in re
2.885 * [backup-simplify]: Simplify 0 into 0
2.885 * [backup-simplify]: Simplify 1 into 1
2.885 * [backup-simplify]: Simplify (/ 1 1) into 1
2.885 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.885 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.886 * [taylor]: Taking taylor expansion of -1 in re
2.886 * [backup-simplify]: Simplify -1 into -1
2.886 * [taylor]: Taking taylor expansion of re in re
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.886 * [backup-simplify]: Simplify (/ -1 1) into -1
2.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.886 * [taylor]: Taking taylor expansion of -1 in re
2.886 * [backup-simplify]: Simplify -1 into -1
2.886 * [taylor]: Taking taylor expansion of re in re
2.886 * [backup-simplify]: Simplify 0 into 0
2.886 * [backup-simplify]: Simplify 1 into 1
2.887 * [backup-simplify]: Simplify (/ -1 1) into -1
2.887 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.887 * [taylor]: Taking taylor expansion of -1 in re
2.887 * [backup-simplify]: Simplify -1 into -1
2.887 * [taylor]: Taking taylor expansion of im in re
2.887 * [backup-simplify]: Simplify im into im
2.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.887 * [taylor]: Taking taylor expansion of -1 in re
2.887 * [backup-simplify]: Simplify -1 into -1
2.887 * [taylor]: Taking taylor expansion of im in re
2.887 * [backup-simplify]: Simplify im into im
2.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.888 * [backup-simplify]: Simplify (* -1 -1) into 1
2.888 * [backup-simplify]: Simplify (+ 1 0) into 1
2.888 * [backup-simplify]: Simplify (sqrt 1) into 1
2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.890 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.891 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.891 * [taylor]: Taking taylor expansion of re in re
2.892 * [backup-simplify]: Simplify 0 into 0
2.892 * [backup-simplify]: Simplify 1 into 1
2.892 * [backup-simplify]: Simplify (/ 1 1) into 1
2.892 * [backup-simplify]: Simplify (- 1) into -1
2.893 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.893 * [taylor]: Taking taylor expansion of 0 in im
2.893 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.894 * [backup-simplify]: Simplify (- 0) into 0
2.894 * [backup-simplify]: Simplify (+ 0 0) into 0
2.894 * [taylor]: Taking taylor expansion of 0 in im
2.894 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.897 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.897 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.898 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.901 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.902 * [backup-simplify]: Simplify (- 0) into 0
2.903 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.903 * [taylor]: Taking taylor expansion of 1/2 in im
2.903 * [backup-simplify]: Simplify 1/2 into 1/2
2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.903 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.903 * [taylor]: Taking taylor expansion of im in im
2.903 * [backup-simplify]: Simplify 0 into 0
2.903 * [backup-simplify]: Simplify 1 into 1
2.903 * [backup-simplify]: Simplify (* 1 1) into 1
2.903 * [backup-simplify]: Simplify (/ 1 1) into 1
2.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.906 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.906 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.907 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.908 * [backup-simplify]: Simplify (- 0) into 0
2.908 * [backup-simplify]: Simplify (+ 0 0) into 0
2.908 * [taylor]: Taking taylor expansion of 0 in im
2.908 * [backup-simplify]: Simplify 0 into 0
2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 1)
2.910 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ (hypot re im) re)
2.910 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
2.910 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
2.910 * [taylor]: Taking taylor expansion of (hypot re im) in im
2.910 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.910 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
2.910 * [taylor]: Taking taylor expansion of (* re re) in im
2.910 * [taylor]: Taking taylor expansion of re in im
2.910 * [backup-simplify]: Simplify re into re
2.910 * [taylor]: Taking taylor expansion of re in im
2.910 * [backup-simplify]: Simplify re into re
2.910 * [taylor]: Taking taylor expansion of (* im im) in im
2.910 * [taylor]: Taking taylor expansion of im in im
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 1 into 1
2.910 * [taylor]: Taking taylor expansion of im in im
2.911 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify 1 into 1
2.911 * [backup-simplify]: Simplify (* re re) into (pow re 2)
2.911 * [backup-simplify]: Simplify (* 0 0) into 0
2.911 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
2.911 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
2.911 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
2.912 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.912 * [backup-simplify]: Simplify (+ 0 0) into 0
2.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
2.912 * [taylor]: Taking taylor expansion of re in im
2.912 * [backup-simplify]: Simplify re into re
2.912 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.912 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.912 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.912 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.912 * [taylor]: Taking taylor expansion of (* re re) in re
2.912 * [taylor]: Taking taylor expansion of re in re
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [backup-simplify]: Simplify 1 into 1
2.912 * [taylor]: Taking taylor expansion of re in re
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [backup-simplify]: Simplify 1 into 1
2.912 * [taylor]: Taking taylor expansion of (* im im) in re
2.912 * [taylor]: Taking taylor expansion of im in re
2.912 * [backup-simplify]: Simplify im into im
2.912 * [taylor]: Taking taylor expansion of im in re
2.912 * [backup-simplify]: Simplify im into im
2.913 * [backup-simplify]: Simplify (* 0 0) into 0
2.913 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.913 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.913 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.913 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.913 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.914 * [backup-simplify]: Simplify (+ 0 0) into 0
2.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.914 * [taylor]: Taking taylor expansion of re in re
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
2.914 * [taylor]: Taking taylor expansion of (hypot re im) in re
2.914 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
2.914 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
2.914 * [taylor]: Taking taylor expansion of (* re re) in re
2.914 * [taylor]: Taking taylor expansion of re in re
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [taylor]: Taking taylor expansion of re in re
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [taylor]: Taking taylor expansion of (* im im) in re
2.914 * [taylor]: Taking taylor expansion of im in re
2.914 * [backup-simplify]: Simplify im into im
2.914 * [taylor]: Taking taylor expansion of im in re
2.914 * [backup-simplify]: Simplify im into im
2.914 * [backup-simplify]: Simplify (* 0 0) into 0
2.914 * [backup-simplify]: Simplify (* im im) into (pow im 2)
2.914 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
2.914 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
2.915 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
2.915 * [backup-simplify]: Simplify (+ 0 0) into 0
2.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
2.916 * [taylor]: Taking taylor expansion of re in re
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify (+ im 0) into im
2.916 * [taylor]: Taking taylor expansion of im in im
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify (+ 0 1) into 1
2.916 * [taylor]: Taking taylor expansion of 1 in im
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify 1 into 1
2.916 * [backup-simplify]: Simplify 1 into 1
2.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
2.917 * [backup-simplify]: Simplify (+ 1 0) into 1
2.918 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
2.918 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
2.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
2.918 * [taylor]: Taking taylor expansion of 1/2 in im
2.918 * [backup-simplify]: Simplify 1/2 into 1/2
2.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.918 * [taylor]: Taking taylor expansion of im in im
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [backup-simplify]: Simplify (/ 1 1) into 1
2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.919 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.920 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
2.920 * [backup-simplify]: Simplify (+ 0 0) into 0
2.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
2.921 * [backup-simplify]: Simplify (+ 0 0) into 0
2.921 * [taylor]: Taking taylor expansion of 0 in im
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
2.922 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
2.922 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
2.922 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.922 * [taylor]: Taking taylor expansion of re in im
2.922 * [backup-simplify]: Simplify re into re
2.922 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.922 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
2.922 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.922 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
2.922 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
2.922 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.922 * [taylor]: Taking taylor expansion of re in im
2.922 * [backup-simplify]: Simplify re into re
2.923 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.923 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.923 * [taylor]: Taking taylor expansion of re in im
2.923 * [backup-simplify]: Simplify re into re
2.923 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.923 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
2.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.923 * [taylor]: Taking taylor expansion of im in im
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [backup-simplify]: Simplify (/ 1 1) into 1
2.923 * [taylor]: Taking taylor expansion of (/ 1 im) in im
2.923 * [taylor]: Taking taylor expansion of im in im
2.923 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [backup-simplify]: Simplify (/ 1 1) into 1
2.923 * [backup-simplify]: Simplify (* 1 1) into 1
2.924 * [backup-simplify]: Simplify (+ 0 1) into 1
2.924 * [backup-simplify]: Simplify (sqrt 1) into 1
2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.925 * [backup-simplify]: Simplify (+ 0 0) into 0
2.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.926 * [taylor]: Taking taylor expansion of re in re
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [backup-simplify]: Simplify (/ 1 1) into 1
2.926 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.926 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.926 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.926 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.926 * [taylor]: Taking taylor expansion of re in re
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.927 * [backup-simplify]: Simplify (/ 1 1) into 1
2.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.927 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.927 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.927 * [taylor]: Taking taylor expansion of im in re
2.927 * [backup-simplify]: Simplify im into im
2.927 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.927 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.927 * [taylor]: Taking taylor expansion of im in re
2.927 * [backup-simplify]: Simplify im into im
2.927 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.927 * [backup-simplify]: Simplify (* 1 1) into 1
2.928 * [backup-simplify]: Simplify (+ 1 0) into 1
2.928 * [backup-simplify]: Simplify (sqrt 1) into 1
2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.929 * [backup-simplify]: Simplify (+ 0 0) into 0
2.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.930 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
2.930 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.930 * [taylor]: Taking taylor expansion of re in re
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 1 into 1
2.930 * [backup-simplify]: Simplify (/ 1 1) into 1
2.930 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
2.930 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
2.930 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
2.930 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
2.930 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.930 * [taylor]: Taking taylor expansion of re in re
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 1 into 1
2.931 * [backup-simplify]: Simplify (/ 1 1) into 1
2.931 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.931 * [taylor]: Taking taylor expansion of re in re
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 1 into 1
2.931 * [backup-simplify]: Simplify (/ 1 1) into 1
2.931 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
2.931 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.931 * [taylor]: Taking taylor expansion of im in re
2.931 * [backup-simplify]: Simplify im into im
2.931 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.931 * [taylor]: Taking taylor expansion of (/ 1 im) in re
2.931 * [taylor]: Taking taylor expansion of im in re
2.931 * [backup-simplify]: Simplify im into im
2.932 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
2.932 * [backup-simplify]: Simplify (* 1 1) into 1
2.932 * [backup-simplify]: Simplify (+ 1 0) into 1
2.933 * [backup-simplify]: Simplify (sqrt 1) into 1
2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.935 * [backup-simplify]: Simplify (+ 0 0) into 0
2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.936 * [backup-simplify]: Simplify (+ 1 1) into 2
2.936 * [taylor]: Taking taylor expansion of 2 in im
2.936 * [backup-simplify]: Simplify 2 into 2
2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.937 * [backup-simplify]: Simplify (+ 0 0) into 0
2.937 * [taylor]: Taking taylor expansion of 0 in im
2.937 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify 2 into 2
2.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.941 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
2.941 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.943 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
2.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.943 * [taylor]: Taking taylor expansion of 1/2 in im
2.943 * [backup-simplify]: Simplify 1/2 into 1/2
2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.943 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.943 * [taylor]: Taking taylor expansion of im in im
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [backup-simplify]: Simplify (* 1 1) into 1
2.944 * [backup-simplify]: Simplify (/ 1 1) into 1
2.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 0 into 0
2.946 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
2.950 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
2.951 * [backup-simplify]: Simplify (+ 0 0) into 0
2.951 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.952 * [backup-simplify]: Simplify (+ 0 0) into 0
2.952 * [taylor]: Taking taylor expansion of 0 in im
2.952 * [backup-simplify]: Simplify 0 into 0
2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.955 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
2.955 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
2.955 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
2.955 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
2.955 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
2.955 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.956 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
2.956 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
2.956 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.956 * [taylor]: Taking taylor expansion of -1 in im
2.956 * [backup-simplify]: Simplify -1 into -1
2.956 * [taylor]: Taking taylor expansion of re in im
2.956 * [backup-simplify]: Simplify re into re
2.956 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.956 * [taylor]: Taking taylor expansion of (/ -1 re) in im
2.956 * [taylor]: Taking taylor expansion of -1 in im
2.956 * [backup-simplify]: Simplify -1 into -1
2.956 * [taylor]: Taking taylor expansion of re in im
2.956 * [backup-simplify]: Simplify re into re
2.956 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
2.956 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
2.956 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.956 * [taylor]: Taking taylor expansion of -1 in im
2.956 * [backup-simplify]: Simplify -1 into -1
2.956 * [taylor]: Taking taylor expansion of im in im
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (/ -1 1) into -1
2.957 * [taylor]: Taking taylor expansion of (/ -1 im) in im
2.957 * [taylor]: Taking taylor expansion of -1 in im
2.957 * [backup-simplify]: Simplify -1 into -1
2.957 * [taylor]: Taking taylor expansion of im in im
2.957 * [backup-simplify]: Simplify 0 into 0
2.957 * [backup-simplify]: Simplify 1 into 1
2.957 * [backup-simplify]: Simplify (/ -1 1) into -1
2.958 * [backup-simplify]: Simplify (* -1 -1) into 1
2.958 * [backup-simplify]: Simplify (+ 0 1) into 1
2.958 * [backup-simplify]: Simplify (sqrt 1) into 1
2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.961 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.961 * [backup-simplify]: Simplify (+ 0 0) into 0
2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.962 * [taylor]: Taking taylor expansion of (/ 1 re) in im
2.962 * [taylor]: Taking taylor expansion of re in im
2.962 * [backup-simplify]: Simplify re into re
2.962 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
2.962 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.962 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.962 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.962 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.962 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.962 * [taylor]: Taking taylor expansion of -1 in re
2.962 * [backup-simplify]: Simplify -1 into -1
2.962 * [taylor]: Taking taylor expansion of re in re
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 1 into 1
2.963 * [backup-simplify]: Simplify (/ -1 1) into -1
2.963 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.963 * [taylor]: Taking taylor expansion of -1 in re
2.963 * [backup-simplify]: Simplify -1 into -1
2.963 * [taylor]: Taking taylor expansion of re in re
2.963 * [backup-simplify]: Simplify 0 into 0
2.963 * [backup-simplify]: Simplify 1 into 1
2.963 * [backup-simplify]: Simplify (/ -1 1) into -1
2.963 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.963 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.963 * [taylor]: Taking taylor expansion of -1 in re
2.963 * [backup-simplify]: Simplify -1 into -1
2.964 * [taylor]: Taking taylor expansion of im in re
2.964 * [backup-simplify]: Simplify im into im
2.964 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.964 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.964 * [taylor]: Taking taylor expansion of -1 in re
2.964 * [backup-simplify]: Simplify -1 into -1
2.964 * [taylor]: Taking taylor expansion of im in re
2.964 * [backup-simplify]: Simplify im into im
2.964 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.964 * [backup-simplify]: Simplify (* -1 -1) into 1
2.965 * [backup-simplify]: Simplify (+ 1 0) into 1
2.965 * [backup-simplify]: Simplify (sqrt 1) into 1
2.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.967 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.968 * [backup-simplify]: Simplify (+ 0 0) into 0
2.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.969 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.969 * [taylor]: Taking taylor expansion of re in re
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (/ 1 1) into 1
2.969 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
2.969 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
2.969 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
2.969 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
2.969 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
2.969 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.969 * [taylor]: Taking taylor expansion of -1 in re
2.969 * [backup-simplify]: Simplify -1 into -1
2.970 * [taylor]: Taking taylor expansion of re in re
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 1 into 1
2.970 * [backup-simplify]: Simplify (/ -1 1) into -1
2.970 * [taylor]: Taking taylor expansion of (/ -1 re) in re
2.970 * [taylor]: Taking taylor expansion of -1 in re
2.970 * [backup-simplify]: Simplify -1 into -1
2.970 * [taylor]: Taking taylor expansion of re in re
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify 1 into 1
2.971 * [backup-simplify]: Simplify (/ -1 1) into -1
2.971 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
2.971 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.971 * [taylor]: Taking taylor expansion of -1 in re
2.971 * [backup-simplify]: Simplify -1 into -1
2.971 * [taylor]: Taking taylor expansion of im in re
2.971 * [backup-simplify]: Simplify im into im
2.971 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.971 * [taylor]: Taking taylor expansion of (/ -1 im) in re
2.971 * [taylor]: Taking taylor expansion of -1 in re
2.971 * [backup-simplify]: Simplify -1 into -1
2.971 * [taylor]: Taking taylor expansion of im in re
2.971 * [backup-simplify]: Simplify im into im
2.971 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
2.972 * [backup-simplify]: Simplify (* -1 -1) into 1
2.972 * [backup-simplify]: Simplify (+ 1 0) into 1
2.972 * [backup-simplify]: Simplify (sqrt 1) into 1
2.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.975 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.975 * [backup-simplify]: Simplify (+ 0 0) into 0
2.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re
2.976 * [taylor]: Taking taylor expansion of re in re
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify (/ 1 1) into 1
2.977 * [backup-simplify]: Simplify (- 1) into -1
2.977 * [backup-simplify]: Simplify (+ 1 -1) into 0
2.978 * [taylor]: Taking taylor expansion of 0 in im
2.978 * [backup-simplify]: Simplify 0 into 0
2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.979 * [backup-simplify]: Simplify (- 0) into 0
2.979 * [backup-simplify]: Simplify (+ 0 0) into 0
2.979 * [taylor]: Taking taylor expansion of 0 in im
2.979 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify 0 into 0
2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.982 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.982 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
2.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
2.984 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.986 * [backup-simplify]: Simplify (- 0) into 0
2.986 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
2.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
2.986 * [taylor]: Taking taylor expansion of 1/2 in im
2.986 * [backup-simplify]: Simplify 1/2 into 1/2
2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
2.986 * [taylor]: Taking taylor expansion of (pow im 2) in im
2.986 * [taylor]: Taking taylor expansion of im in im
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 1 into 1
2.987 * [backup-simplify]: Simplify (* 1 1) into 1
2.987 * [backup-simplify]: Simplify (/ 1 1) into 1
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.989 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.989 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.993 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.994 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.994 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
2.994 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
2.995 * [backup-simplify]: Simplify (+ 0 0) into 0
2.995 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.997 * [backup-simplify]: Simplify (- 0) into 0
2.997 * [backup-simplify]: Simplify (+ 0 0) into 0
2.997 * [taylor]: Taking taylor expansion of 0 in im
2.997 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * [backup-simplify]: Simplify 0 into 0
3.000 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1 2)
3.000 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
3.000 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
3.000 * [taylor]: Taking taylor expansion of (hypot re im) in im
3.001 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.001 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
3.001 * [taylor]: Taking taylor expansion of (* re re) in im
3.001 * [taylor]: Taking taylor expansion of re in im
3.001 * [backup-simplify]: Simplify re into re
3.001 * [taylor]: Taking taylor expansion of re in im
3.001 * [backup-simplify]: Simplify re into re
3.001 * [taylor]: Taking taylor expansion of (* im im) in im
3.001 * [taylor]: Taking taylor expansion of im in im
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.001 * [taylor]: Taking taylor expansion of im in im
3.001 * [backup-simplify]: Simplify 0 into 0
3.001 * [backup-simplify]: Simplify 1 into 1
3.001 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.001 * [backup-simplify]: Simplify (* 0 0) into 0
3.002 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
3.002 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.002 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.002 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.003 * [backup-simplify]: Simplify (+ 0 0) into 0
3.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.003 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.003 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.003 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.003 * [taylor]: Taking taylor expansion of (* re re) in re
3.003 * [taylor]: Taking taylor expansion of re in re
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 1 into 1
3.003 * [taylor]: Taking taylor expansion of re in re
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 1 into 1
3.003 * [taylor]: Taking taylor expansion of (* im im) in re
3.003 * [taylor]: Taking taylor expansion of im in re
3.004 * [backup-simplify]: Simplify im into im
3.004 * [taylor]: Taking taylor expansion of im in re
3.004 * [backup-simplify]: Simplify im into im
3.004 * [backup-simplify]: Simplify (* 0 0) into 0
3.004 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.004 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.005 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.005 * [backup-simplify]: Simplify (+ 0 0) into 0
3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.006 * [taylor]: Taking taylor expansion of (hypot re im) in re
3.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
3.006 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
3.006 * [taylor]: Taking taylor expansion of (* re re) in re
3.006 * [taylor]: Taking taylor expansion of re in re
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 1 into 1
3.006 * [taylor]: Taking taylor expansion of re in re
3.006 * [backup-simplify]: Simplify 0 into 0
3.006 * [backup-simplify]: Simplify 1 into 1
3.006 * [taylor]: Taking taylor expansion of (* im im) in re
3.006 * [taylor]: Taking taylor expansion of im in re
3.006 * [backup-simplify]: Simplify im into im
3.006 * [taylor]: Taking taylor expansion of im in re
3.006 * [backup-simplify]: Simplify im into im
3.006 * [backup-simplify]: Simplify (* 0 0) into 0
3.006 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.007 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
3.007 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.008 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.008 * [backup-simplify]: Simplify (+ 0 0) into 0
3.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.008 * [taylor]: Taking taylor expansion of im in im
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 1 into 1
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [taylor]: Taking taylor expansion of 0 in im
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 0 into 0
3.008 * [backup-simplify]: Simplify 1 into 1
3.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.010 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.010 * [backup-simplify]: Simplify (+ 1 0) into 1
3.011 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.011 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.011 * [taylor]: Taking taylor expansion of 1/2 in im
3.011 * [backup-simplify]: Simplify 1/2 into 1/2
3.011 * [taylor]: Taking taylor expansion of im in im
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 1 into 1
3.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.015 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.015 * [backup-simplify]: Simplify (+ 0 0) into 0
3.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.015 * [taylor]: Taking taylor expansion of 0 in im
3.015 * [backup-simplify]: Simplify 0 into 0
3.015 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.017 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
3.017 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
3.017 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
3.017 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.017 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
3.017 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
3.017 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.017 * [taylor]: Taking taylor expansion of re in im
3.017 * [backup-simplify]: Simplify re into re
3.017 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.017 * [taylor]: Taking taylor expansion of (/ 1 re) in im
3.017 * [taylor]: Taking taylor expansion of re in im
3.017 * [backup-simplify]: Simplify re into re
3.017 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
3.017 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
3.018 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.018 * [taylor]: Taking taylor expansion of im in im
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 1 into 1
3.018 * [backup-simplify]: Simplify (/ 1 1) into 1
3.018 * [taylor]: Taking taylor expansion of (/ 1 im) in im
3.018 * [taylor]: Taking taylor expansion of im in im
3.018 * [backup-simplify]: Simplify 0 into 0
3.018 * [backup-simplify]: Simplify 1 into 1
3.019 * [backup-simplify]: Simplify (/ 1 1) into 1
3.019 * [backup-simplify]: Simplify (* 1 1) into 1
3.019 * [backup-simplify]: Simplify (+ 0 1) into 1
3.020 * [backup-simplify]: Simplify (sqrt 1) into 1
3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.022 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.023 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
3.023 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.023 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.023 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.023 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.023 * [taylor]: Taking taylor expansion of re in re
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (/ 1 1) into 1
3.024 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.024 * [taylor]: Taking taylor expansion of re in re
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (/ 1 1) into 1
3.024 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.024 * [taylor]: Taking taylor expansion of im in re
3.024 * [backup-simplify]: Simplify im into im
3.024 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.024 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.024 * [taylor]: Taking taylor expansion of im in re
3.024 * [backup-simplify]: Simplify im into im
3.025 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (+ 1 0) into 1
3.026 * [backup-simplify]: Simplify (sqrt 1) into 1
3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.027 * [backup-simplify]: Simplify (- (+ (* 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 (hypot (/ 1 re) (/ 1 im)) in re
3.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
3.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
3.029 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
3.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.029 * [taylor]: Taking taylor expansion of re in re
3.029 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (/ 1 1) into 1
3.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re
3.030 * [taylor]: Taking taylor expansion of re in re
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (/ 1 1) into 1
3.030 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
3.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.030 * [taylor]: Taking taylor expansion of im in re
3.030 * [backup-simplify]: Simplify im into im
3.030 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re
3.030 * [taylor]: Taking taylor expansion of im in re
3.031 * [backup-simplify]: Simplify im into im
3.031 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
3.031 * [backup-simplify]: Simplify (* 1 1) into 1
3.031 * [backup-simplify]: Simplify (+ 1 0) into 1
3.032 * [backup-simplify]: Simplify (sqrt 1) into 1
3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.034 * [backup-simplify]: Simplify (+ 0 0) into 0
3.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.037 * [taylor]: Taking taylor expansion of 1 in im
3.037 * [backup-simplify]: Simplify 1 into 1
3.037 * [taylor]: Taking taylor expansion of 0 in im
3.037 * [backup-simplify]: Simplify 0 into 0
3.037 * [backup-simplify]: Simplify 1 into 1
3.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.040 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
3.041 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.042 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.042 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.042 * [taylor]: Taking taylor expansion of 1/2 in im
3.042 * [backup-simplify]: Simplify 1/2 into 1/2
3.042 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.042 * [taylor]: Taking taylor expansion of im in im
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
3.043 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
3.048 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
3.048 * [backup-simplify]: Simplify (+ 0 0) into 0
3.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.049 * [taylor]: Taking taylor expansion of 0 in im
3.049 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.052 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
3.052 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
3.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
3.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
3.052 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
3.052 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.052 * [taylor]: Taking taylor expansion of -1 in im
3.052 * [backup-simplify]: Simplify -1 into -1
3.052 * [taylor]: Taking taylor expansion of re in im
3.052 * [backup-simplify]: Simplify re into re
3.052 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.052 * [taylor]: Taking taylor expansion of (/ -1 re) in im
3.052 * [taylor]: Taking taylor expansion of -1 in im
3.052 * [backup-simplify]: Simplify -1 into -1
3.052 * [taylor]: Taking taylor expansion of re in im
3.052 * [backup-simplify]: Simplify re into re
3.052 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
3.052 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
3.052 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.052 * [taylor]: Taking taylor expansion of -1 in im
3.052 * [backup-simplify]: Simplify -1 into -1
3.052 * [taylor]: Taking taylor expansion of im in im
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 1 into 1
3.053 * [backup-simplify]: Simplify (/ -1 1) into -1
3.053 * [taylor]: Taking taylor expansion of (/ -1 im) in im
3.053 * [taylor]: Taking taylor expansion of -1 in im
3.053 * [backup-simplify]: Simplify -1 into -1
3.053 * [taylor]: Taking taylor expansion of im in im
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 1 into 1
3.054 * [backup-simplify]: Simplify (/ -1 1) into -1
3.054 * [backup-simplify]: Simplify (* -1 -1) into 1
3.054 * [backup-simplify]: Simplify (+ 0 1) into 1
3.055 * [backup-simplify]: Simplify (sqrt 1) into 1
3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.059 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.059 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.059 * [taylor]: Taking taylor expansion of -1 in re
3.059 * [backup-simplify]: Simplify -1 into -1
3.059 * [taylor]: Taking taylor expansion of re in re
3.059 * [backup-simplify]: Simplify 0 into 0
3.059 * [backup-simplify]: Simplify 1 into 1
3.059 * [backup-simplify]: Simplify (/ -1 1) into -1
3.060 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.060 * [taylor]: Taking taylor expansion of -1 in re
3.060 * [backup-simplify]: Simplify -1 into -1
3.060 * [taylor]: Taking taylor expansion of re in re
3.060 * [backup-simplify]: Simplify 0 into 0
3.060 * [backup-simplify]: Simplify 1 into 1
3.060 * [backup-simplify]: Simplify (/ -1 1) into -1
3.060 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.060 * [taylor]: Taking taylor expansion of -1 in re
3.060 * [backup-simplify]: Simplify -1 into -1
3.060 * [taylor]: Taking taylor expansion of im in re
3.060 * [backup-simplify]: Simplify im into im
3.060 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.060 * [taylor]: Taking taylor expansion of -1 in re
3.060 * [backup-simplify]: Simplify -1 into -1
3.060 * [taylor]: Taking taylor expansion of im in re
3.061 * [backup-simplify]: Simplify im into im
3.061 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.061 * [backup-simplify]: Simplify (* -1 -1) into 1
3.061 * [backup-simplify]: Simplify (+ 1 0) into 1
3.062 * [backup-simplify]: Simplify (sqrt 1) into 1
3.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.064 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.065 * [backup-simplify]: Simplify (+ 0 0) into 0
3.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
3.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
3.066 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
3.066 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
3.066 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.066 * [taylor]: Taking taylor expansion of -1 in re
3.066 * [backup-simplify]: Simplify -1 into -1
3.066 * [taylor]: Taking taylor expansion of re in re
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (/ -1 1) into -1
3.067 * [taylor]: Taking taylor expansion of (/ -1 re) in re
3.067 * [taylor]: Taking taylor expansion of -1 in re
3.067 * [backup-simplify]: Simplify -1 into -1
3.067 * [taylor]: Taking taylor expansion of re in re
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (/ -1 1) into -1
3.067 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
3.067 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.067 * [taylor]: Taking taylor expansion of -1 in re
3.067 * [backup-simplify]: Simplify -1 into -1
3.067 * [taylor]: Taking taylor expansion of im in re
3.067 * [backup-simplify]: Simplify im into im
3.067 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.067 * [taylor]: Taking taylor expansion of (/ -1 im) in re
3.068 * [taylor]: Taking taylor expansion of -1 in re
3.068 * [backup-simplify]: Simplify -1 into -1
3.068 * [taylor]: Taking taylor expansion of im in re
3.068 * [backup-simplify]: Simplify im into im
3.068 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
3.068 * [backup-simplify]: Simplify (* -1 -1) into 1
3.069 * [backup-simplify]: Simplify (+ 1 0) into 1
3.069 * [backup-simplify]: Simplify (sqrt 1) into 1
3.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.072 * [backup-simplify]: Simplify (+ 0 0) into 0
3.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.072 * [taylor]: Taking taylor expansion of 1 in im
3.072 * [backup-simplify]: Simplify 1 into 1
3.073 * [taylor]: Taking taylor expansion of 0 in im
3.073 * [backup-simplify]: Simplify 0 into 0
3.073 * [backup-simplify]: Simplify 1 into 1
3.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.076 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.076 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
3.076 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.077 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.077 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.077 * [taylor]: Taking taylor expansion of 1/2 in im
3.077 * [backup-simplify]: Simplify 1/2 into 1/2
3.077 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.077 * [taylor]: Taking taylor expansion of im in im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.083 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.083 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.083 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
3.084 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
3.084 * [backup-simplify]: Simplify (+ 0 0) into 0
3.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.085 * [taylor]: Taking taylor expansion of 0 in im
3.085 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.087 * * * [progress]: simplifying candidates
3.090 * [simplify]: Simplifying:
  (expm1 (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (log1p (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ re (hypot re im)) (+ re (hypot re im)))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (+ re (hypot re im)) (+ re (hypot re im)))
  (+ 1 1)
  (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))))
  (log (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (exp (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))))
  (* (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))))
  (cbrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (* (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))) (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (* (+ re (hypot re im)) (+ re (hypot re im)))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (sqrt (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))
  (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))
  (* (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (- re (hypot re im))))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))
  (* (sqrt (- re (hypot re im))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))
  (* (sqrt (- re (hypot re im))) (sqrt (- re (hypot re im))))
  (* (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* 1 1)
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ re (hypot re im)))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))))
  (* (sqrt (+ re (hypot re im))) (sqrt (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (+ re (hypot re im))) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt 1))
  (* (sqrt (+ re (hypot re im))) (sqrt (sqrt (+ re (hypot re im)))))
  (* (sqrt (+ re (hypot re im))) 1)
  (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))))
  (* (sqrt (+ re (hypot re im))) (sqrt (+ (pow re 3) (pow (hypot re im) 3))))
  (* (sqrt (+ re (hypot re im))) (sqrt (- (* re re) (* (hypot re im) (hypot re im)))))
  (* (sqrt (+ (pow re 3) (pow (hypot re im) 3))) (sqrt (+ re (hypot re im))))
  (* (sqrt (- (* re re) (* (hypot re im) (hypot re im)))) (sqrt (+ re (hypot re im))))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (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)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (* (exp re) (exp (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)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))
  (- (* re re) (* (hypot re im) (hypot re im)))
  (- re (hypot re im))
  (+ re (hypot re im))
  (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)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  (+ re im)
  (* 2 re)
  0
  im
  re
  (* -1 re)
3.092 * * [simplify]: iteration 0: 103 enodes
3.135 * * [simplify]: iteration 1: 210 enodes
3.216 * * [simplify]: iteration 2: 780 enodes
4.204 * * [simplify]: iteration complete: 5001 enodes
4.204 * * [simplify]: Extracting #0: cost 41 inf + 0
4.207 * * [simplify]: Extracting #1: cost 881 inf + 10
4.216 * * [simplify]: Extracting #2: cost 1642 inf + 707
4.226 * * [simplify]: Extracting #3: cost 1121 inf + 6849
4.232 * * [simplify]: Extracting #4: cost 591 inf + 14041
4.237 * * [simplify]: Extracting #5: cost 81 inf + 22143
4.242 * * [simplify]: Extracting #6: cost 0 inf + 23628
4.253 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  1
  1
  2
  1
  1
  (pow (sqrt (+ re (hypot re im))) (+ 3 1))
  (+ re (hypot re im))
  (pow (sqrt (+ re (hypot re im))) (+ 3 1))
  2
  (log (+ re (hypot re im)))
  (log (+ re (hypot re im)))
  (exp (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (pow (+ re (hypot re im)) 3)
  (pow (sqrt (+ re (hypot re im))) (+ 3 1))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma (- (hypot re im) re) (hypot re im) (* re re))
  (* (sqrt (fma re re (- (* (hypot re im) (hypot re im))))) (hypot (pow re 3/2) (pow (hypot re im) 3/2)))
  (* (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re))) (sqrt (- re (hypot re im))))
  (* (sqrt (fma re re (- (* (hypot re im) (hypot re im))))) (hypot (pow re 3/2) (pow (hypot re im) 3/2)))
  (* (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re))) (sqrt (- re (hypot re im))))
  (fma re re (- (* (hypot re im) (hypot re im))))
  (- re (hypot re im))
  (pow (cbrt (sqrt (+ re (hypot re im)))) (+ 3 1))
  (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))
  (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im))))
  (cbrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  1
  (+ re (hypot re im))
  1
  (+ re (hypot re im))
  1
  (+ re (hypot re im))
  1
  (+ re (hypot re im))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  1
  (+ re (hypot re im))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  1
  2
  1
  (* (cbrt (sqrt (+ re (hypot re im)))) (pow (cbrt (sqrt (+ re (hypot re im)))) (+ 3 1)))
  (* (sqrt (+ re (hypot re im))) (fabs (cbrt (+ re (hypot re im)))))
  (pow (sqrt (sqrt (+ re (hypot re im)))) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (pow (sqrt (sqrt (+ re (hypot re im)))) 3)
  (sqrt (+ re (hypot re im)))
  (pow (cbrt (sqrt (+ re (hypot re im)))) (+ 3 1))
  (* (sqrt (cbrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))
  (pow (sqrt (sqrt (+ re (hypot re im)))) 3)
  (+ re (hypot re im))
  (+ re (hypot re im))
  (pow (sqrt (sqrt (+ re (hypot re im)))) 3)
  (+ re (hypot re im))
  (* (sqrt (+ re (hypot re im))) (hypot (pow re 3/2) (pow (hypot re im) 3/2)))
  (* (sqrt (+ re (hypot re im))) (sqrt (fma re re (- (* (hypot re im) (hypot re im))))))
  (* (sqrt (+ re (hypot re im))) (hypot (pow re 3/2) (pow (hypot re im) 3/2)))
  (* (sqrt (+ re (hypot re im))) (sqrt (fma re re (- (* (hypot re im) (hypot re im))))))
  (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)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma (- (hypot re im) re) (hypot re im) (* re re))
  (fma re re (- (* (hypot re im) (hypot re im))))
  (- re (hypot re im))
  (+ re (hypot re im))
  (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)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (+ (pow re 3) (pow (hypot re im) 3))
  (fma (- (hypot re im) re) (hypot re im) (* re re))
  (fma re re (- (* (hypot re im) (hypot re im))))
  (- re (hypot re im))
  (+ 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))
  (pow (hypot re im) 3)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (+ im re)
  (* 2 re)
  0
  (+ im re)
  (* 2 re)
  0
  (+ im re)
  (* 2 re)
  0
  im
  re
  (- re)
4.254 * * * [progress]: adding candidates to table
4.896 * * [progress]: iteration 3 / 4
4.896 * * * [progress]: picking best candidate
4.924 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))>
4.924 * * * [progress]: localizing error
4.950 * * * [progress]: generating rewritten candidates
4.950 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
4.951 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2)
4.952 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1)
4.953 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.958 * * * [progress]: generating series expansions
4.958 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
4.959 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)
4.959 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0
4.959 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
4.959 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
4.959 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
4.959 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
4.959 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.959 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.959 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.959 * [taylor]: Taking taylor expansion of (* re re) in im
4.959 * [taylor]: Taking taylor expansion of re in im
4.959 * [backup-simplify]: Simplify re into re
4.959 * [taylor]: Taking taylor expansion of re in im
4.959 * [backup-simplify]: Simplify re into re
4.959 * [taylor]: Taking taylor expansion of (* im im) in im
4.959 * [taylor]: Taking taylor expansion of im in im
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify 1 into 1
4.959 * [taylor]: Taking taylor expansion of im in im
4.959 * [backup-simplify]: Simplify 0 into 0
4.959 * [backup-simplify]: Simplify 1 into 1
4.959 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.960 * [backup-simplify]: Simplify (* 0 0) into 0
4.960 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.960 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.960 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.960 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.961 * [backup-simplify]: Simplify (+ 0 0) into 0
4.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.961 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
4.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
4.961 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
4.961 * [taylor]: Taking taylor expansion of (hypot re im) in im
4.961 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.961 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
4.961 * [taylor]: Taking taylor expansion of (* re re) in im
4.961 * [taylor]: Taking taylor expansion of re in im
4.961 * [backup-simplify]: Simplify re into re
4.961 * [taylor]: Taking taylor expansion of re in im
4.961 * [backup-simplify]: Simplify re into re
4.961 * [taylor]: Taking taylor expansion of (* im im) in im
4.961 * [taylor]: Taking taylor expansion of im in im
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify 1 into 1
4.961 * [taylor]: Taking taylor expansion of im in im
4.961 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify 1 into 1
4.961 * [backup-simplify]: Simplify (* re re) into (pow re 2)
4.962 * [backup-simplify]: Simplify (* 0 0) into 0
4.962 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
4.962 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
4.962 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
4.962 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.962 * [backup-simplify]: Simplify (+ 0 0) into 0
4.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
4.963 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
4.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
4.963 * [taylor]: Taking taylor expansion of re in im
4.963 * [backup-simplify]: Simplify re into re
4.963 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
4.963 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
4.963 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
4.963 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.963 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.963 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.963 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.963 * [taylor]: Taking taylor expansion of (* re re) in re
4.963 * [taylor]: Taking taylor expansion of re in re
4.963 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [taylor]: Taking taylor expansion of re in re
4.963 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [taylor]: Taking taylor expansion of (* im im) in re
4.963 * [taylor]: Taking taylor expansion of im in re
4.963 * [backup-simplify]: Simplify im into im
4.963 * [taylor]: Taking taylor expansion of im in re
4.963 * [backup-simplify]: Simplify im into im
4.963 * [backup-simplify]: Simplify (* 0 0) into 0
4.963 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.964 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.964 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.964 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.964 * [backup-simplify]: Simplify (+ 0 0) into 0
4.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.964 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.965 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.965 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.965 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.965 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.965 * [taylor]: Taking taylor expansion of (* re re) in re
4.965 * [taylor]: Taking taylor expansion of re in re
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 1 into 1
4.965 * [taylor]: Taking taylor expansion of re in re
4.965 * [backup-simplify]: Simplify 0 into 0
4.965 * [backup-simplify]: Simplify 1 into 1
4.965 * [taylor]: Taking taylor expansion of (* im im) in re
4.965 * [taylor]: Taking taylor expansion of im in re
4.965 * [backup-simplify]: Simplify im into im
4.965 * [taylor]: Taking taylor expansion of im in re
4.965 * [backup-simplify]: Simplify im into im
4.965 * [backup-simplify]: Simplify (* 0 0) into 0
4.965 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.965 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.965 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.966 * [backup-simplify]: Simplify (+ 0 0) into 0
4.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.966 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.966 * [taylor]: Taking taylor expansion of re in re
4.966 * [backup-simplify]: Simplify 0 into 0
4.966 * [backup-simplify]: Simplify 1 into 1
4.966 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
4.966 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
4.966 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
4.966 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.966 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.967 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.967 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.967 * [taylor]: Taking taylor expansion of (* re re) in re
4.967 * [taylor]: Taking taylor expansion of re in re
4.967 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify 1 into 1
4.967 * [taylor]: Taking taylor expansion of re in re
4.967 * [backup-simplify]: Simplify 0 into 0
4.967 * [backup-simplify]: Simplify 1 into 1
4.967 * [taylor]: Taking taylor expansion of (* im im) in re
4.967 * [taylor]: Taking taylor expansion of im in re
4.967 * [backup-simplify]: Simplify im into im
4.967 * [taylor]: Taking taylor expansion of im in re
4.967 * [backup-simplify]: Simplify im into im
4.967 * [backup-simplify]: Simplify (* 0 0) into 0
4.967 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.967 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.967 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.968 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.968 * [backup-simplify]: Simplify (+ 0 0) into 0
4.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.968 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.968 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
4.968 * [taylor]: Taking taylor expansion of (hypot re im) in re
4.968 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
4.968 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
4.968 * [taylor]: Taking taylor expansion of (* re re) in re
4.968 * [taylor]: Taking taylor expansion of re in re
4.968 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify 1 into 1
4.968 * [taylor]: Taking taylor expansion of re in re
4.968 * [backup-simplify]: Simplify 0 into 0
4.968 * [backup-simplify]: Simplify 1 into 1
4.968 * [taylor]: Taking taylor expansion of (* im im) in re
4.968 * [taylor]: Taking taylor expansion of im in re
4.968 * [backup-simplify]: Simplify im into im
4.968 * [taylor]: Taking taylor expansion of im in re
4.968 * [backup-simplify]: Simplify im into im
4.969 * [backup-simplify]: Simplify (* 0 0) into 0
4.969 * [backup-simplify]: Simplify (* im im) into (pow im 2)
4.969 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
4.969 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
4.969 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.969 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
4.970 * [backup-simplify]: Simplify (+ 0 0) into 0
4.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
4.970 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
4.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
4.970 * [taylor]: Taking taylor expansion of re in re
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
4.970 * [backup-simplify]: Simplify (+ im 0) into im
4.970 * [taylor]: Taking taylor expansion of im in im
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify 0 into 0
4.970 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
4.970 * [backup-simplify]: Simplify (+ 0 1) into 1
4.970 * [taylor]: Taking taylor expansion of 1 in im
4.970 * [backup-simplify]: Simplify 1 into 1
4.970 * [backup-simplify]: Simplify 1 into 1
4.971 * [backup-simplify]: Simplify 1 into 1
4.971 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.971 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.972 * [backup-simplify]: Simplify (+ 1 0) into 1
4.972 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.973 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
4.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.973 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
4.974 * [backup-simplify]: Simplify (+ 1 0) into 1
4.974 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
4.975 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
4.975 * [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))
4.975 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
4.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
4.975 * [taylor]: Taking taylor expansion of 1/2 in im
4.975 * [backup-simplify]: Simplify 1/2 into 1/2
4.975 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.975 * [taylor]: Taking taylor expansion of im in im
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [backup-simplify]: Simplify 1 into 1
4.976 * [backup-simplify]: Simplify (/ 1 1) into 1
4.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.976 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify 0 into 0
4.977 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.978 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.978 * [backup-simplify]: Simplify (+ 0 0) into 0
4.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
4.979 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.979 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
4.980 * [backup-simplify]: Simplify (+ 0 0) into 0
4.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
4.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0
4.980 * [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
4.980 * [backup-simplify]: Simplify (+ 0 0) into 0
4.980 * [taylor]: Taking taylor expansion of 0 in im
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.982 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
4.982 * [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))
4.982 * [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
4.982 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
4.982 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
4.982 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
4.982 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
4.982 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.982 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.982 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.982 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.982 * [taylor]: Taking taylor expansion of re in im
4.982 * [backup-simplify]: Simplify re into re
4.982 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.982 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.982 * [taylor]: Taking taylor expansion of re in im
4.982 * [backup-simplify]: Simplify re into re
4.982 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.982 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.982 * [taylor]: Taking taylor expansion of im in im
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [backup-simplify]: Simplify (/ 1 1) into 1
4.983 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.983 * [taylor]: Taking taylor expansion of im in im
4.983 * [backup-simplify]: Simplify 0 into 0
4.983 * [backup-simplify]: Simplify 1 into 1
4.983 * [backup-simplify]: Simplify (/ 1 1) into 1
4.983 * [backup-simplify]: Simplify (* 1 1) into 1
4.984 * [backup-simplify]: Simplify (+ 0 1) into 1
4.984 * [backup-simplify]: Simplify (sqrt 1) into 1
4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.985 * [backup-simplify]: Simplify (+ 0 0) into 0
4.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.986 * [backup-simplify]: Simplify (sqrt 0) into 0
4.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.987 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
4.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
4.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
4.987 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
4.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.987 * [taylor]: Taking taylor expansion of re in im
4.987 * [backup-simplify]: Simplify re into re
4.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.987 * [taylor]: Taking taylor expansion of re in im
4.987 * [backup-simplify]: Simplify re into re
4.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.987 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
4.987 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.987 * [taylor]: Taking taylor expansion of im in im
4.987 * [backup-simplify]: Simplify 0 into 0
4.988 * [backup-simplify]: Simplify 1 into 1
4.988 * [backup-simplify]: Simplify (/ 1 1) into 1
4.988 * [taylor]: Taking taylor expansion of (/ 1 im) in im
4.988 * [taylor]: Taking taylor expansion of im in im
4.988 * [backup-simplify]: Simplify 0 into 0
4.988 * [backup-simplify]: Simplify 1 into 1
4.988 * [backup-simplify]: Simplify (/ 1 1) into 1
4.988 * [backup-simplify]: Simplify (* 1 1) into 1
4.989 * [backup-simplify]: Simplify (+ 0 1) into 1
4.989 * [backup-simplify]: Simplify (sqrt 1) into 1
4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.990 * [backup-simplify]: Simplify (+ 0 0) into 0
4.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.991 * [backup-simplify]: Simplify (sqrt 0) into 0
4.992 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.992 * [taylor]: Taking taylor expansion of (/ 1 re) in im
4.992 * [taylor]: Taking taylor expansion of re in im
4.992 * [backup-simplify]: Simplify re into re
4.992 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
4.992 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
4.992 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
4.992 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
4.992 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
4.992 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.992 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.992 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.992 * [taylor]: Taking taylor expansion of re in re
4.992 * [backup-simplify]: Simplify 0 into 0
4.992 * [backup-simplify]: Simplify 1 into 1
4.992 * [backup-simplify]: Simplify (/ 1 1) into 1
4.992 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.993 * [taylor]: Taking taylor expansion of re in re
4.993 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify 1 into 1
4.993 * [backup-simplify]: Simplify (/ 1 1) into 1
4.993 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.993 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.993 * [taylor]: Taking taylor expansion of im in re
4.993 * [backup-simplify]: Simplify im into im
4.993 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.993 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.993 * [taylor]: Taking taylor expansion of im in re
4.993 * [backup-simplify]: Simplify im into im
4.993 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.993 * [backup-simplify]: Simplify (* 1 1) into 1
4.993 * [backup-simplify]: Simplify (+ 1 0) into 1
4.994 * [backup-simplify]: Simplify (sqrt 1) into 1
4.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.995 * [backup-simplify]: Simplify (+ 0 0) into 0
4.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.996 * [backup-simplify]: Simplify (sqrt 0) into 0
4.997 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
4.997 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
4.997 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
4.997 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
4.997 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
4.997 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
4.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.997 * [taylor]: Taking taylor expansion of re in re
4.997 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify 1 into 1
4.997 * [backup-simplify]: Simplify (/ 1 1) into 1
4.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re
4.997 * [taylor]: Taking taylor expansion of re in re
4.997 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify 1 into 1
4.997 * [backup-simplify]: Simplify (/ 1 1) into 1
4.997 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
4.997 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.997 * [taylor]: Taking taylor expansion of im in re
4.997 * [backup-simplify]: Simplify im into im
4.998 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.998 * [taylor]: Taking taylor expansion of (/ 1 im) in re
4.998 * [taylor]: Taking taylor expansion of im in re
4.998 * [backup-simplify]: Simplify im into im
4.998 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
4.998 * [backup-simplify]: Simplify (* 1 1) into 1
4.998 * [backup-simplify]: Simplify (+ 1 0) into 1
4.998 * [backup-simplify]: Simplify (sqrt 1) into 1
4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.002 * [backup-simplify]: Simplify (sqrt 0) into 0
5.003 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.003 * [taylor]: Taking taylor expansion of re in re
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.003 * [backup-simplify]: Simplify (/ 1 1) into 1
5.003 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
5.004 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
5.004 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
5.004 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.004 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.004 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.004 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.004 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.004 * [taylor]: Taking taylor expansion of re in re
5.004 * [backup-simplify]: Simplify 0 into 0
5.004 * [backup-simplify]: Simplify 1 into 1
5.004 * [backup-simplify]: Simplify (/ 1 1) into 1
5.004 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.005 * [taylor]: Taking taylor expansion of re in re
5.005 * [backup-simplify]: Simplify 0 into 0
5.005 * [backup-simplify]: Simplify 1 into 1
5.005 * [backup-simplify]: Simplify (/ 1 1) into 1
5.005 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.005 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.005 * [taylor]: Taking taylor expansion of im in re
5.005 * [backup-simplify]: Simplify im into im
5.005 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.005 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.005 * [taylor]: Taking taylor expansion of im in re
5.005 * [backup-simplify]: Simplify im into im
5.005 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.006 * [backup-simplify]: Simplify (* 1 1) into 1
5.006 * [backup-simplify]: Simplify (+ 1 0) into 1
5.006 * [backup-simplify]: Simplify (sqrt 1) into 1
5.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.009 * [backup-simplify]: Simplify (+ 0 0) into 0
5.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.010 * [backup-simplify]: Simplify (sqrt 0) into 0
5.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.012 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.012 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.012 * [taylor]: Taking taylor expansion of re in re
5.012 * [backup-simplify]: Simplify 0 into 0
5.012 * [backup-simplify]: Simplify 1 into 1
5.013 * [backup-simplify]: Simplify (/ 1 1) into 1
5.013 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.013 * [taylor]: Taking taylor expansion of re in re
5.013 * [backup-simplify]: Simplify 0 into 0
5.013 * [backup-simplify]: Simplify 1 into 1
5.013 * [backup-simplify]: Simplify (/ 1 1) into 1
5.013 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.013 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.013 * [taylor]: Taking taylor expansion of im in re
5.014 * [backup-simplify]: Simplify im into im
5.014 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.014 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.014 * [taylor]: Taking taylor expansion of im in re
5.014 * [backup-simplify]: Simplify im into im
5.014 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.014 * [backup-simplify]: Simplify (* 1 1) into 1
5.015 * [backup-simplify]: Simplify (+ 1 0) into 1
5.015 * [backup-simplify]: Simplify (sqrt 1) into 1
5.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.018 * [backup-simplify]: Simplify (+ 0 0) into 0
5.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.019 * [backup-simplify]: Simplify (sqrt 0) into 0
5.020 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.020 * [taylor]: Taking taylor expansion of re in re
5.020 * [backup-simplify]: Simplify 0 into 0
5.020 * [backup-simplify]: Simplify 1 into 1
5.021 * [backup-simplify]: Simplify (/ 1 1) into 1
5.021 * [backup-simplify]: Simplify (* 0 0) into 0
5.022 * [backup-simplify]: Simplify (+ 0 0) into 0
5.022 * [taylor]: Taking taylor expansion of 0 in im
5.022 * [backup-simplify]: Simplify 0 into 0
5.022 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.023 * [backup-simplify]: Simplify (+ 0 1) into 1
5.023 * [taylor]: Taking taylor expansion of 1 in im
5.023 * [backup-simplify]: Simplify 1 into 1
5.026 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.029 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.032 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
5.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.034 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.034 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.034 * [taylor]: Taking taylor expansion of +nan.0 in im
5.034 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.034 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.037 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.038 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.039 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.041 * [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))
5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.044 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.044 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.044 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.046 * [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))
5.046 * [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)
5.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.048 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.048 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.048 * [taylor]: Taking taylor expansion of +nan.0 in im
5.048 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.048 * [backup-simplify]: Simplify 1 into 1
5.048 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.050 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.050 * [backup-simplify]: Simplify (+ 0 0) into 0
5.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.051 * [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)))
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.053 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.053 * [backup-simplify]: Simplify (+ 0 0) into 0
5.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.055 * [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)))
5.059 * [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)))
5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
5.060 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.060 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.060 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.060 * [taylor]: Taking taylor expansion of +nan.0 in im
5.060 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.060 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.060 * [taylor]: Taking taylor expansion of im in im
5.060 * [backup-simplify]: Simplify 0 into 0
5.060 * [backup-simplify]: Simplify 1 into 1
5.061 * [backup-simplify]: Simplify (* 1 1) into 1
5.061 * [backup-simplify]: Simplify (/ 1 1) into 1
5.061 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.061 * [taylor]: Taking taylor expansion of +nan.0 in im
5.061 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.061 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.061 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.062 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
5.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.062 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.063 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.064 * [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)))
5.064 * [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))
5.064 * [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
5.064 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
5.065 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
5.065 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
5.065 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.065 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.065 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.065 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.065 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.065 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.065 * [taylor]: Taking taylor expansion of -1 in im
5.065 * [backup-simplify]: Simplify -1 into -1
5.065 * [taylor]: Taking taylor expansion of re in im
5.065 * [backup-simplify]: Simplify re into re
5.065 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.065 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.065 * [taylor]: Taking taylor expansion of -1 in im
5.065 * [backup-simplify]: Simplify -1 into -1
5.065 * [taylor]: Taking taylor expansion of re in im
5.065 * [backup-simplify]: Simplify re into re
5.065 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.065 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.065 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.065 * [taylor]: Taking taylor expansion of -1 in im
5.065 * [backup-simplify]: Simplify -1 into -1
5.065 * [taylor]: Taking taylor expansion of im in im
5.065 * [backup-simplify]: Simplify 0 into 0
5.065 * [backup-simplify]: Simplify 1 into 1
5.066 * [backup-simplify]: Simplify (/ -1 1) into -1
5.066 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.066 * [taylor]: Taking taylor expansion of -1 in im
5.066 * [backup-simplify]: Simplify -1 into -1
5.066 * [taylor]: Taking taylor expansion of im in im
5.066 * [backup-simplify]: Simplify 0 into 0
5.066 * [backup-simplify]: Simplify 1 into 1
5.067 * [backup-simplify]: Simplify (/ -1 1) into -1
5.067 * [backup-simplify]: Simplify (* -1 -1) into 1
5.067 * [backup-simplify]: Simplify (+ 0 1) into 1
5.068 * [backup-simplify]: Simplify (sqrt 1) into 1
5.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.071 * [backup-simplify]: Simplify (+ 0 0) into 0
5.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.072 * [backup-simplify]: Simplify (sqrt 0) into 0
5.073 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.073 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.073 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.073 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.073 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.074 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.074 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.074 * [taylor]: Taking taylor expansion of -1 in im
5.074 * [backup-simplify]: Simplify -1 into -1
5.074 * [taylor]: Taking taylor expansion of re in im
5.074 * [backup-simplify]: Simplify re into re
5.074 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.074 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.074 * [taylor]: Taking taylor expansion of -1 in im
5.074 * [backup-simplify]: Simplify -1 into -1
5.074 * [taylor]: Taking taylor expansion of re in im
5.074 * [backup-simplify]: Simplify re into re
5.074 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.074 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.074 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.074 * [taylor]: Taking taylor expansion of -1 in im
5.074 * [backup-simplify]: Simplify -1 into -1
5.074 * [taylor]: Taking taylor expansion of im in im
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (/ -1 1) into -1
5.075 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.075 * [taylor]: Taking taylor expansion of -1 in im
5.075 * [backup-simplify]: Simplify -1 into -1
5.075 * [taylor]: Taking taylor expansion of im in im
5.075 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify 1 into 1
5.075 * [backup-simplify]: Simplify (/ -1 1) into -1
5.076 * [backup-simplify]: Simplify (* -1 -1) into 1
5.076 * [backup-simplify]: Simplify (+ 0 1) into 1
5.076 * [backup-simplify]: Simplify (sqrt 1) into 1
5.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.079 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.079 * [backup-simplify]: Simplify (+ 0 0) into 0
5.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.080 * [backup-simplify]: Simplify (sqrt 0) into 0
5.082 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.082 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.082 * [taylor]: Taking taylor expansion of -1 in im
5.082 * [backup-simplify]: Simplify -1 into -1
5.082 * [taylor]: Taking taylor expansion of re in im
5.082 * [backup-simplify]: Simplify re into re
5.082 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.082 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
5.082 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
5.082 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
5.082 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.082 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.082 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.083 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.083 * [taylor]: Taking taylor expansion of -1 in re
5.083 * [backup-simplify]: Simplify -1 into -1
5.083 * [taylor]: Taking taylor expansion of re in re
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify 1 into 1
5.083 * [backup-simplify]: Simplify (/ -1 1) into -1
5.083 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.083 * [taylor]: Taking taylor expansion of -1 in re
5.083 * [backup-simplify]: Simplify -1 into -1
5.083 * [taylor]: Taking taylor expansion of re in re
5.083 * [backup-simplify]: Simplify 0 into 0
5.083 * [backup-simplify]: Simplify 1 into 1
5.084 * [backup-simplify]: Simplify (/ -1 1) into -1
5.084 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.084 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.084 * [taylor]: Taking taylor expansion of -1 in re
5.084 * [backup-simplify]: Simplify -1 into -1
5.084 * [taylor]: Taking taylor expansion of im in re
5.084 * [backup-simplify]: Simplify im into im
5.084 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.084 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.084 * [taylor]: Taking taylor expansion of -1 in re
5.084 * [backup-simplify]: Simplify -1 into -1
5.084 * [taylor]: Taking taylor expansion of im in re
5.084 * [backup-simplify]: Simplify im into im
5.084 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.085 * [backup-simplify]: Simplify (* -1 -1) into 1
5.085 * [backup-simplify]: Simplify (+ 1 0) into 1
5.085 * [backup-simplify]: Simplify (sqrt 1) into 1
5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.088 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.088 * [backup-simplify]: Simplify (+ 0 0) into 0
5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.089 * [backup-simplify]: Simplify (sqrt 0) into 0
5.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.091 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.091 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.091 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.091 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.091 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.091 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.091 * [taylor]: Taking taylor expansion of -1 in re
5.091 * [backup-simplify]: Simplify -1 into -1
5.091 * [taylor]: Taking taylor expansion of re in re
5.091 * [backup-simplify]: Simplify 0 into 0
5.091 * [backup-simplify]: Simplify 1 into 1
5.092 * [backup-simplify]: Simplify (/ -1 1) into -1
5.092 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.092 * [taylor]: Taking taylor expansion of -1 in re
5.092 * [backup-simplify]: Simplify -1 into -1
5.092 * [taylor]: Taking taylor expansion of re in re
5.092 * [backup-simplify]: Simplify 0 into 0
5.092 * [backup-simplify]: Simplify 1 into 1
5.092 * [backup-simplify]: Simplify (/ -1 1) into -1
5.092 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.092 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.092 * [taylor]: Taking taylor expansion of -1 in re
5.092 * [backup-simplify]: Simplify -1 into -1
5.092 * [taylor]: Taking taylor expansion of im in re
5.093 * [backup-simplify]: Simplify im into im
5.093 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.093 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.093 * [taylor]: Taking taylor expansion of -1 in re
5.093 * [backup-simplify]: Simplify -1 into -1
5.093 * [taylor]: Taking taylor expansion of im in re
5.093 * [backup-simplify]: Simplify im into im
5.093 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.093 * [backup-simplify]: Simplify (* -1 -1) into 1
5.094 * [backup-simplify]: Simplify (+ 1 0) into 1
5.094 * [backup-simplify]: Simplify (sqrt 1) into 1
5.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.097 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.097 * [backup-simplify]: Simplify (+ 0 0) into 0
5.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.098 * [backup-simplify]: Simplify (sqrt 0) into 0
5.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.099 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.099 * [taylor]: Taking taylor expansion of -1 in re
5.099 * [backup-simplify]: Simplify -1 into -1
5.099 * [taylor]: Taking taylor expansion of re in re
5.100 * [backup-simplify]: Simplify 0 into 0
5.100 * [backup-simplify]: Simplify 1 into 1
5.100 * [backup-simplify]: Simplify (/ -1 1) into -1
5.100 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
5.100 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
5.100 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
5.100 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.100 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.100 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.100 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.101 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.101 * [taylor]: Taking taylor expansion of -1 in re
5.101 * [backup-simplify]: Simplify -1 into -1
5.101 * [taylor]: Taking taylor expansion of re in re
5.101 * [backup-simplify]: Simplify 0 into 0
5.101 * [backup-simplify]: Simplify 1 into 1
5.101 * [backup-simplify]: Simplify (/ -1 1) into -1
5.101 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.101 * [taylor]: Taking taylor expansion of -1 in re
5.101 * [backup-simplify]: Simplify -1 into -1
5.101 * [taylor]: Taking taylor expansion of re in re
5.101 * [backup-simplify]: Simplify 0 into 0
5.101 * [backup-simplify]: Simplify 1 into 1
5.102 * [backup-simplify]: Simplify (/ -1 1) into -1
5.102 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.102 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.102 * [taylor]: Taking taylor expansion of -1 in re
5.102 * [backup-simplify]: Simplify -1 into -1
5.102 * [taylor]: Taking taylor expansion of im in re
5.102 * [backup-simplify]: Simplify im into im
5.102 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.102 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.102 * [taylor]: Taking taylor expansion of -1 in re
5.102 * [backup-simplify]: Simplify -1 into -1
5.102 * [taylor]: Taking taylor expansion of im in re
5.102 * [backup-simplify]: Simplify im into im
5.102 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.103 * [backup-simplify]: Simplify (* -1 -1) into 1
5.103 * [backup-simplify]: Simplify (+ 1 0) into 1
5.103 * [backup-simplify]: Simplify (sqrt 1) into 1
5.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.106 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.106 * [backup-simplify]: Simplify (+ 0 0) into 0
5.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.107 * [backup-simplify]: Simplify (sqrt 0) into 0
5.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.109 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.109 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.109 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.109 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.109 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.109 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.109 * [taylor]: Taking taylor expansion of -1 in re
5.109 * [backup-simplify]: Simplify -1 into -1
5.109 * [taylor]: Taking taylor expansion of re in re
5.109 * [backup-simplify]: Simplify 0 into 0
5.109 * [backup-simplify]: Simplify 1 into 1
5.110 * [backup-simplify]: Simplify (/ -1 1) into -1
5.110 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.110 * [taylor]: Taking taylor expansion of -1 in re
5.110 * [backup-simplify]: Simplify -1 into -1
5.110 * [taylor]: Taking taylor expansion of re in re
5.110 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify 1 into 1
5.110 * [backup-simplify]: Simplify (/ -1 1) into -1
5.110 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.110 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.110 * [taylor]: Taking taylor expansion of -1 in re
5.111 * [backup-simplify]: Simplify -1 into -1
5.111 * [taylor]: Taking taylor expansion of im in re
5.111 * [backup-simplify]: Simplify im into im
5.111 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.111 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.111 * [taylor]: Taking taylor expansion of -1 in re
5.111 * [backup-simplify]: Simplify -1 into -1
5.111 * [taylor]: Taking taylor expansion of im in re
5.111 * [backup-simplify]: Simplify im into im
5.111 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.111 * [backup-simplify]: Simplify (* -1 -1) into 1
5.112 * [backup-simplify]: Simplify (+ 1 0) into 1
5.112 * [backup-simplify]: Simplify (sqrt 1) into 1
5.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.115 * [backup-simplify]: Simplify (+ 0 0) into 0
5.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.116 * [backup-simplify]: Simplify (sqrt 0) into 0
5.117 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.117 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.117 * [taylor]: Taking taylor expansion of -1 in re
5.118 * [backup-simplify]: Simplify -1 into -1
5.118 * [taylor]: Taking taylor expansion of re in re
5.118 * [backup-simplify]: Simplify 0 into 0
5.118 * [backup-simplify]: Simplify 1 into 1
5.118 * [backup-simplify]: Simplify (/ -1 1) into -1
5.119 * [backup-simplify]: Simplify (* 0 0) into 0
5.119 * [backup-simplify]: Simplify (+ 0 0) into 0
5.119 * [taylor]: Taking taylor expansion of 0 in im
5.119 * [backup-simplify]: Simplify 0 into 0
5.120 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.120 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.120 * [taylor]: Taking taylor expansion of -1 in im
5.120 * [backup-simplify]: Simplify -1 into -1
5.123 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.126 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.129 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
5.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.130 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.130 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.130 * [taylor]: Taking taylor expansion of +nan.0 in im
5.130 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.131 * [backup-simplify]: Simplify 0 into 0
5.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.133 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.134 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.137 * [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))
5.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.140 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.144 * [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))
5.145 * [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)
5.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.147 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.147 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.147 * [taylor]: Taking taylor expansion of +nan.0 in im
5.148 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.148 * [backup-simplify]: Simplify -1 into -1
5.148 * [backup-simplify]: Simplify 0 into 0
5.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.151 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.151 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.151 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.151 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.152 * [backup-simplify]: Simplify (+ 0 0) into 0
5.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.154 * [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)))
5.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.157 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.157 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.158 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.158 * [backup-simplify]: Simplify (+ 0 0) into 0
5.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.160 * [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)))
5.163 * [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)))
5.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.164 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))
5.164 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.164 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.164 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.164 * [taylor]: Taking taylor expansion of +nan.0 in im
5.164 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.164 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.164 * [taylor]: Taking taylor expansion of im in im
5.164 * [backup-simplify]: Simplify 0 into 0
5.164 * [backup-simplify]: Simplify 1 into 1
5.164 * [backup-simplify]: Simplify (* 1 1) into 1
5.164 * [backup-simplify]: Simplify (/ 1 1) into 1
5.164 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.164 * [taylor]: Taking taylor expansion of +nan.0 in im
5.164 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.165 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.165 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.166 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
5.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.166 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.167 * [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)))
5.167 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2)
5.167 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
5.167 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
5.167 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.167 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.167 * [taylor]: Taking taylor expansion of (* re re) in im
5.167 * [taylor]: Taking taylor expansion of re in im
5.167 * [backup-simplify]: Simplify re into re
5.167 * [taylor]: Taking taylor expansion of re in im
5.167 * [backup-simplify]: Simplify re into re
5.167 * [taylor]: Taking taylor expansion of (* im im) in im
5.167 * [taylor]: Taking taylor expansion of im in im
5.167 * [backup-simplify]: Simplify 0 into 0
5.167 * [backup-simplify]: Simplify 1 into 1
5.167 * [taylor]: Taking taylor expansion of im in im
5.168 * [backup-simplify]: Simplify 0 into 0
5.168 * [backup-simplify]: Simplify 1 into 1
5.168 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.168 * [backup-simplify]: Simplify (* 0 0) into 0
5.168 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.168 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.168 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.168 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.169 * [backup-simplify]: Simplify (+ 0 0) into 0
5.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.169 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
5.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
5.169 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.169 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.169 * [taylor]: Taking taylor expansion of (* re re) in re
5.169 * [taylor]: Taking taylor expansion of re in re
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [taylor]: Taking taylor expansion of re in re
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.169 * [taylor]: Taking taylor expansion of (* im im) in re
5.169 * [taylor]: Taking taylor expansion of im in re
5.169 * [backup-simplify]: Simplify im into im
5.169 * [taylor]: Taking taylor expansion of im in re
5.169 * [backup-simplify]: Simplify im into im
5.169 * [backup-simplify]: Simplify (* 0 0) into 0
5.169 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.170 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.170 * [backup-simplify]: Simplify (+ 0 0) into 0
5.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.171 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.171 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.171 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.171 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.171 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.171 * [taylor]: Taking taylor expansion of (* re re) in re
5.171 * [taylor]: Taking taylor expansion of re in re
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [taylor]: Taking taylor expansion of re in re
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [taylor]: Taking taylor expansion of (* im im) in re
5.171 * [taylor]: Taking taylor expansion of im in re
5.171 * [backup-simplify]: Simplify im into im
5.171 * [taylor]: Taking taylor expansion of im in re
5.171 * [backup-simplify]: Simplify im into im
5.171 * [backup-simplify]: Simplify (* 0 0) into 0
5.171 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.171 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.172 * [backup-simplify]: Simplify (+ 0 0) into 0
5.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.172 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.172 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.172 * [taylor]: Taking taylor expansion of im in im
5.172 * [backup-simplify]: Simplify 0 into 0
5.172 * [backup-simplify]: Simplify 1 into 1
5.173 * [backup-simplify]: Simplify (sqrt 0) into 0
5.173 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.173 * [backup-simplify]: Simplify 0 into 0
5.174 * [taylor]: Taking taylor expansion of 0 in im
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify 0 into 0
5.174 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.174 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.175 * [backup-simplify]: Simplify (+ 1 0) into 1
5.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.176 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
5.176 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
5.176 * [taylor]: Taking taylor expansion of 1/4 in im
5.176 * [backup-simplify]: Simplify 1/4 into 1/4
5.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.176 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.176 * [taylor]: Taking taylor expansion of im in im
5.176 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify 1 into 1
5.176 * [backup-simplify]: Simplify (* 1 1) into 1
5.176 * [backup-simplify]: Simplify (* 1 1) into 1
5.176 * [backup-simplify]: Simplify (/ 1 1) into 1
5.177 * [backup-simplify]: Simplify (sqrt 0) into 0
5.178 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.182 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
5.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.182 * [backup-simplify]: Simplify 0 into 0
5.184 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.184 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.184 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
5.184 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
5.184 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
5.184 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
5.184 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.184 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.185 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.185 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.185 * [taylor]: Taking taylor expansion of re in im
5.185 * [backup-simplify]: Simplify re into re
5.185 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.185 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.185 * [taylor]: Taking taylor expansion of re in im
5.185 * [backup-simplify]: Simplify re into re
5.185 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.185 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.185 * [taylor]: Taking taylor expansion of im in im
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.185 * [backup-simplify]: Simplify (/ 1 1) into 1
5.185 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.185 * [taylor]: Taking taylor expansion of im in im
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.185 * [backup-simplify]: Simplify (/ 1 1) into 1
5.186 * [backup-simplify]: Simplify (* 1 1) into 1
5.186 * [backup-simplify]: Simplify (+ 0 1) into 1
5.186 * [backup-simplify]: Simplify (sqrt 1) into 1
5.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.189 * [backup-simplify]: Simplify (+ 0 0) into 0
5.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.190 * [backup-simplify]: Simplify (sqrt 0) into 0
5.191 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.191 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.191 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.191 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.191 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.191 * [taylor]: Taking taylor expansion of re in re
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.191 * [backup-simplify]: Simplify (/ 1 1) into 1
5.191 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.191 * [taylor]: Taking taylor expansion of re in re
5.191 * [backup-simplify]: Simplify 0 into 0
5.191 * [backup-simplify]: Simplify 1 into 1
5.192 * [backup-simplify]: Simplify (/ 1 1) into 1
5.192 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.192 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.192 * [taylor]: Taking taylor expansion of im in re
5.192 * [backup-simplify]: Simplify im into im
5.192 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.192 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.192 * [taylor]: Taking taylor expansion of im in re
5.192 * [backup-simplify]: Simplify im into im
5.192 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.192 * [backup-simplify]: Simplify (* 1 1) into 1
5.192 * [backup-simplify]: Simplify (+ 1 0) into 1
5.193 * [backup-simplify]: Simplify (sqrt 1) into 1
5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.194 * [backup-simplify]: Simplify (+ 0 0) into 0
5.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.195 * [backup-simplify]: Simplify (sqrt 0) into 0
5.196 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.196 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.196 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.196 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.196 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.196 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.196 * [taylor]: Taking taylor expansion of re in re
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify 1 into 1
5.197 * [backup-simplify]: Simplify (/ 1 1) into 1
5.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.197 * [taylor]: Taking taylor expansion of re in re
5.197 * [backup-simplify]: Simplify 0 into 0
5.197 * [backup-simplify]: Simplify 1 into 1
5.197 * [backup-simplify]: Simplify (/ 1 1) into 1
5.197 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.197 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.198 * [taylor]: Taking taylor expansion of im in re
5.198 * [backup-simplify]: Simplify im into im
5.198 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.198 * [taylor]: Taking taylor expansion of im in re
5.198 * [backup-simplify]: Simplify im into im
5.198 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.198 * [backup-simplify]: Simplify (* 1 1) into 1
5.199 * [backup-simplify]: Simplify (+ 1 0) into 1
5.199 * [backup-simplify]: Simplify (sqrt 1) into 1
5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.201 * [backup-simplify]: Simplify (+ 0 0) into 0
5.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.203 * [backup-simplify]: Simplify (sqrt 0) into 0
5.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.204 * [taylor]: Taking taylor expansion of 0 in im
5.204 * [backup-simplify]: Simplify 0 into 0
5.204 * [taylor]: Taking taylor expansion of +nan.0 in im
5.204 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.204 * [backup-simplify]: Simplify 0 into 0
5.208 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.208 * [taylor]: Taking taylor expansion of +nan.0 in im
5.208 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.208 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.208 * [backup-simplify]: Simplify 0 into 0
5.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.211 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.211 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.214 * [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))
5.214 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.215 * [taylor]: Taking taylor expansion of +nan.0 in im
5.215 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.215 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.215 * [taylor]: Taking taylor expansion of 1/2 in im
5.215 * [backup-simplify]: Simplify 1/2 into 1/2
5.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.215 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.215 * [taylor]: Taking taylor expansion of im in im
5.215 * [backup-simplify]: Simplify 0 into 0
5.215 * [backup-simplify]: Simplify 1 into 1
5.215 * [backup-simplify]: Simplify (* 1 1) into 1
5.216 * [backup-simplify]: Simplify (/ 1 1) into 1
5.216 * [taylor]: Taking taylor expansion of +nan.0 in im
5.216 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.218 * [backup-simplify]: Simplify (+ 0 0) into 0
5.219 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.219 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.220 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.220 * [backup-simplify]: Simplify 0 into 0
5.220 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.220 * [backup-simplify]: Simplify 0 into 0
5.220 * [backup-simplify]: Simplify 0 into 0
5.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.223 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.224 * [backup-simplify]: Simplify (+ 0 0) into 0
5.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.226 * [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)))
5.226 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.226 * [taylor]: Taking taylor expansion of +nan.0 in im
5.226 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.226 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.226 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.226 * [taylor]: Taking taylor expansion of +nan.0 in im
5.227 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.227 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.227 * [taylor]: Taking taylor expansion of im in im
5.227 * [backup-simplify]: Simplify 0 into 0
5.227 * [backup-simplify]: Simplify 1 into 1
5.227 * [backup-simplify]: Simplify (* 1 1) into 1
5.227 * [backup-simplify]: Simplify (/ 1 1) into 1
5.228 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.228 * [taylor]: Taking taylor expansion of +nan.0 in im
5.228 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.230 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.230 * [backup-simplify]: Simplify (+ 0 0) into 0
5.231 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.231 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.232 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.232 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.235 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.236 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.239 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.239 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.240 * [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)))))
5.240 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
5.240 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
5.240 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.240 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.241 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.241 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.241 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.241 * [taylor]: Taking taylor expansion of -1 in im
5.241 * [backup-simplify]: Simplify -1 into -1
5.241 * [taylor]: Taking taylor expansion of re in im
5.241 * [backup-simplify]: Simplify re into re
5.241 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.241 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.241 * [taylor]: Taking taylor expansion of -1 in im
5.241 * [backup-simplify]: Simplify -1 into -1
5.241 * [taylor]: Taking taylor expansion of re in im
5.241 * [backup-simplify]: Simplify re into re
5.241 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.241 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.241 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.241 * [taylor]: Taking taylor expansion of -1 in im
5.241 * [backup-simplify]: Simplify -1 into -1
5.241 * [taylor]: Taking taylor expansion of im in im
5.241 * [backup-simplify]: Simplify 0 into 0
5.241 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (/ -1 1) into -1
5.242 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.242 * [taylor]: Taking taylor expansion of -1 in im
5.242 * [backup-simplify]: Simplify -1 into -1
5.242 * [taylor]: Taking taylor expansion of im in im
5.242 * [backup-simplify]: Simplify 0 into 0
5.242 * [backup-simplify]: Simplify 1 into 1
5.242 * [backup-simplify]: Simplify (/ -1 1) into -1
5.243 * [backup-simplify]: Simplify (* -1 -1) into 1
5.243 * [backup-simplify]: Simplify (+ 0 1) into 1
5.243 * [backup-simplify]: Simplify (sqrt 1) into 1
5.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.246 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.246 * [backup-simplify]: Simplify (+ 0 0) into 0
5.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.247 * [backup-simplify]: Simplify (sqrt 0) into 0
5.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.249 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.249 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.249 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.249 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.249 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.249 * [taylor]: Taking taylor expansion of -1 in re
5.249 * [backup-simplify]: Simplify -1 into -1
5.249 * [taylor]: Taking taylor expansion of re in re
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 1 into 1
5.250 * [backup-simplify]: Simplify (/ -1 1) into -1
5.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.250 * [taylor]: Taking taylor expansion of -1 in re
5.250 * [backup-simplify]: Simplify -1 into -1
5.250 * [taylor]: Taking taylor expansion of re in re
5.250 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify 1 into 1
5.250 * [backup-simplify]: Simplify (/ -1 1) into -1
5.250 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.250 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.250 * [taylor]: Taking taylor expansion of -1 in re
5.251 * [backup-simplify]: Simplify -1 into -1
5.251 * [taylor]: Taking taylor expansion of im in re
5.251 * [backup-simplify]: Simplify im into im
5.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.251 * [taylor]: Taking taylor expansion of -1 in re
5.251 * [backup-simplify]: Simplify -1 into -1
5.251 * [taylor]: Taking taylor expansion of im in re
5.251 * [backup-simplify]: Simplify im into im
5.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.251 * [backup-simplify]: Simplify (* -1 -1) into 1
5.252 * [backup-simplify]: Simplify (+ 1 0) into 1
5.252 * [backup-simplify]: Simplify (sqrt 1) into 1
5.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.254 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.255 * [backup-simplify]: Simplify (+ 0 0) into 0
5.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.256 * [backup-simplify]: Simplify (sqrt 0) into 0
5.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.257 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.257 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.257 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.258 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.258 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.258 * [taylor]: Taking taylor expansion of -1 in re
5.258 * [backup-simplify]: Simplify -1 into -1
5.258 * [taylor]: Taking taylor expansion of re in re
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.258 * [backup-simplify]: Simplify (/ -1 1) into -1
5.258 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.258 * [taylor]: Taking taylor expansion of -1 in re
5.258 * [backup-simplify]: Simplify -1 into -1
5.258 * [taylor]: Taking taylor expansion of re in re
5.258 * [backup-simplify]: Simplify 0 into 0
5.258 * [backup-simplify]: Simplify 1 into 1
5.259 * [backup-simplify]: Simplify (/ -1 1) into -1
5.259 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.259 * [taylor]: Taking taylor expansion of -1 in re
5.259 * [backup-simplify]: Simplify -1 into -1
5.259 * [taylor]: Taking taylor expansion of im in re
5.259 * [backup-simplify]: Simplify im into im
5.259 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.259 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.259 * [taylor]: Taking taylor expansion of -1 in re
5.259 * [backup-simplify]: Simplify -1 into -1
5.259 * [taylor]: Taking taylor expansion of im in re
5.259 * [backup-simplify]: Simplify im into im
5.259 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.260 * [backup-simplify]: Simplify (* -1 -1) into 1
5.260 * [backup-simplify]: Simplify (+ 1 0) into 1
5.261 * [backup-simplify]: Simplify (sqrt 1) into 1
5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.263 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.263 * [backup-simplify]: Simplify (+ 0 0) into 0
5.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.265 * [backup-simplify]: Simplify (sqrt 0) into 0
5.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.266 * [taylor]: Taking taylor expansion of 0 in im
5.266 * [backup-simplify]: Simplify 0 into 0
5.266 * [taylor]: Taking taylor expansion of +nan.0 in im
5.266 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.266 * [backup-simplify]: Simplify 0 into 0
5.268 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.268 * [taylor]: Taking taylor expansion of +nan.0 in im
5.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.268 * [backup-simplify]: Simplify 0 into 0
5.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.270 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.272 * [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))
5.272 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.272 * [taylor]: Taking taylor expansion of +nan.0 in im
5.272 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.272 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.272 * [taylor]: Taking taylor expansion of 1/2 in im
5.272 * [backup-simplify]: Simplify 1/2 into 1/2
5.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.272 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.272 * [taylor]: Taking taylor expansion of im in im
5.272 * [backup-simplify]: Simplify 0 into 0
5.272 * [backup-simplify]: Simplify 1 into 1
5.273 * [backup-simplify]: Simplify (* 1 1) into 1
5.273 * [backup-simplify]: Simplify (/ 1 1) into 1
5.273 * [taylor]: Taking taylor expansion of +nan.0 in im
5.273 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.274 * [backup-simplify]: Simplify (+ 0 0) into 0
5.275 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.275 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.275 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.275 * [backup-simplify]: Simplify 0 into 0
5.275 * [backup-simplify]: Simplify 0 into 0
5.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.277 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.277 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.277 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.278 * [backup-simplify]: Simplify (+ 0 0) into 0
5.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.279 * [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)))
5.279 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.279 * [taylor]: Taking taylor expansion of +nan.0 in im
5.279 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.279 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.279 * [taylor]: Taking taylor expansion of +nan.0 in im
5.279 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.279 * [taylor]: Taking taylor expansion of im in im
5.279 * [backup-simplify]: Simplify 0 into 0
5.279 * [backup-simplify]: Simplify 1 into 1
5.279 * [backup-simplify]: Simplify (* 1 1) into 1
5.280 * [backup-simplify]: Simplify (/ 1 1) into 1
5.280 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.280 * [taylor]: Taking taylor expansion of +nan.0 in im
5.280 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.281 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.281 * [backup-simplify]: Simplify (+ 0 0) into 0
5.281 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.282 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.282 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.282 * [backup-simplify]: Simplify 0 into 0
5.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.284 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.285 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.286 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.286 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.287 * [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)))))
5.287 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1)
5.287 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im))
5.287 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0
5.287 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.287 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.287 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.287 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.287 * [taylor]: Taking taylor expansion of (* re re) in im
5.287 * [taylor]: Taking taylor expansion of re in im
5.287 * [backup-simplify]: Simplify re into re
5.287 * [taylor]: Taking taylor expansion of re in im
5.287 * [backup-simplify]: Simplify re into re
5.287 * [taylor]: Taking taylor expansion of (* im im) in im
5.287 * [taylor]: Taking taylor expansion of im in im
5.287 * [backup-simplify]: Simplify 0 into 0
5.287 * [backup-simplify]: Simplify 1 into 1
5.287 * [taylor]: Taking taylor expansion of im in im
5.287 * [backup-simplify]: Simplify 0 into 0
5.287 * [backup-simplify]: Simplify 1 into 1
5.287 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.288 * [backup-simplify]: Simplify (* 0 0) into 0
5.288 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.288 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.288 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.288 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.288 * [backup-simplify]: Simplify (+ 0 0) into 0
5.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.289 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
5.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
5.289 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.289 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.289 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.289 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.289 * [taylor]: Taking taylor expansion of (* re re) in re
5.289 * [taylor]: Taking taylor expansion of re in re
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 1 into 1
5.289 * [taylor]: Taking taylor expansion of re in re
5.289 * [backup-simplify]: Simplify 0 into 0
5.289 * [backup-simplify]: Simplify 1 into 1
5.289 * [taylor]: Taking taylor expansion of (* im im) in re
5.289 * [taylor]: Taking taylor expansion of im in re
5.289 * [backup-simplify]: Simplify im into im
5.289 * [taylor]: Taking taylor expansion of im in re
5.289 * [backup-simplify]: Simplify im into im
5.289 * [backup-simplify]: Simplify (* 0 0) into 0
5.289 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.289 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.289 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.290 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.290 * [backup-simplify]: Simplify (+ 0 0) into 0
5.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.290 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.290 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.290 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.291 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.291 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.291 * [taylor]: Taking taylor expansion of (* re re) in re
5.291 * [taylor]: Taking taylor expansion of re in re
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.291 * [taylor]: Taking taylor expansion of re in re
5.291 * [backup-simplify]: Simplify 0 into 0
5.291 * [backup-simplify]: Simplify 1 into 1
5.291 * [taylor]: Taking taylor expansion of (* im im) in re
5.291 * [taylor]: Taking taylor expansion of im in re
5.291 * [backup-simplify]: Simplify im into im
5.291 * [taylor]: Taking taylor expansion of im in re
5.291 * [backup-simplify]: Simplify im into im
5.291 * [backup-simplify]: Simplify (* 0 0) into 0
5.291 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.291 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.291 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.292 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.292 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.292 * [backup-simplify]: Simplify (+ 0 0) into 0
5.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.292 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.292 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.292 * [taylor]: Taking taylor expansion of im in im
5.292 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify 1 into 1
5.292 * [backup-simplify]: Simplify (sqrt 0) into 0
5.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [taylor]: Taking taylor expansion of 0 in im
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [backup-simplify]: Simplify 0 into 0
5.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.294 * [backup-simplify]: Simplify (+ 1 0) into 1
5.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.296 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
5.296 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im
5.296 * [taylor]: Taking taylor expansion of 1/4 in im
5.296 * [backup-simplify]: Simplify 1/4 into 1/4
5.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.296 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.296 * [taylor]: Taking taylor expansion of im in im
5.296 * [backup-simplify]: Simplify 0 into 0
5.296 * [backup-simplify]: Simplify 1 into 1
5.297 * [backup-simplify]: Simplify (* 1 1) into 1
5.297 * [backup-simplify]: Simplify (* 1 1) into 1
5.297 * [backup-simplify]: Simplify (/ 1 1) into 1
5.298 * [backup-simplify]: Simplify (sqrt 0) into 0
5.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.304 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.307 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
5.307 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.307 * [backup-simplify]: Simplify 0 into 0
5.310 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.310 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.311 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
5.311 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im)))
5.311 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
5.311 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
5.311 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.311 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.311 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.311 * [taylor]: Taking taylor expansion of re in im
5.311 * [backup-simplify]: Simplify re into re
5.311 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.311 * [taylor]: Taking taylor expansion of re in im
5.311 * [backup-simplify]: Simplify re into re
5.311 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.312 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.312 * [taylor]: Taking taylor expansion of im in im
5.312 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify 1 into 1
5.312 * [backup-simplify]: Simplify (/ 1 1) into 1
5.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.312 * [taylor]: Taking taylor expansion of im in im
5.312 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify 1 into 1
5.312 * [backup-simplify]: Simplify (/ 1 1) into 1
5.312 * [backup-simplify]: Simplify (* 1 1) into 1
5.313 * [backup-simplify]: Simplify (+ 0 1) into 1
5.313 * [backup-simplify]: Simplify (sqrt 1) into 1
5.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.317 * [backup-simplify]: Simplify (+ 0 0) into 0
5.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.317 * [backup-simplify]: Simplify (sqrt 0) into 0
5.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.318 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.318 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.318 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.319 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.319 * [taylor]: Taking taylor expansion of re in re
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 1 into 1
5.319 * [backup-simplify]: Simplify (/ 1 1) into 1
5.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.319 * [taylor]: Taking taylor expansion of re in re
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 1 into 1
5.319 * [backup-simplify]: Simplify (/ 1 1) into 1
5.319 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.319 * [taylor]: Taking taylor expansion of im in re
5.319 * [backup-simplify]: Simplify im into im
5.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.319 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.319 * [taylor]: Taking taylor expansion of im in re
5.319 * [backup-simplify]: Simplify im into im
5.319 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.320 * [backup-simplify]: Simplify (* 1 1) into 1
5.320 * [backup-simplify]: Simplify (+ 1 0) into 1
5.320 * [backup-simplify]: Simplify (sqrt 1) into 1
5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.322 * [backup-simplify]: Simplify (+ 0 0) into 0
5.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.322 * [backup-simplify]: Simplify (sqrt 0) into 0
5.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.323 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.323 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.323 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.323 * [taylor]: Taking taylor expansion of re in re
5.323 * [backup-simplify]: Simplify 0 into 0
5.323 * [backup-simplify]: Simplify 1 into 1
5.324 * [backup-simplify]: Simplify (/ 1 1) into 1
5.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.324 * [taylor]: Taking taylor expansion of re in re
5.324 * [backup-simplify]: Simplify 0 into 0
5.324 * [backup-simplify]: Simplify 1 into 1
5.324 * [backup-simplify]: Simplify (/ 1 1) into 1
5.324 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.324 * [taylor]: Taking taylor expansion of im in re
5.324 * [backup-simplify]: Simplify im into im
5.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.324 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.324 * [taylor]: Taking taylor expansion of im in re
5.324 * [backup-simplify]: Simplify im into im
5.324 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.324 * [backup-simplify]: Simplify (* 1 1) into 1
5.325 * [backup-simplify]: Simplify (+ 1 0) into 1
5.325 * [backup-simplify]: Simplify (sqrt 1) into 1
5.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.326 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.327 * [backup-simplify]: Simplify (sqrt 0) into 0
5.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.328 * [taylor]: Taking taylor expansion of 0 in im
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [taylor]: Taking taylor expansion of +nan.0 in im
5.328 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.328 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.330 * [taylor]: Taking taylor expansion of +nan.0 in im
5.330 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.330 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.330 * [backup-simplify]: Simplify 0 into 0
5.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.331 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.332 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.332 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.334 * [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))
5.334 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.334 * [taylor]: Taking taylor expansion of +nan.0 in im
5.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.334 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.334 * [taylor]: Taking taylor expansion of 1/2 in im
5.334 * [backup-simplify]: Simplify 1/2 into 1/2
5.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.334 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.334 * [taylor]: Taking taylor expansion of im in im
5.334 * [backup-simplify]: Simplify 0 into 0
5.334 * [backup-simplify]: Simplify 1 into 1
5.334 * [backup-simplify]: Simplify (* 1 1) into 1
5.334 * [backup-simplify]: Simplify (/ 1 1) into 1
5.334 * [taylor]: Taking taylor expansion of +nan.0 in im
5.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.336 * [backup-simplify]: Simplify (+ 0 0) into 0
5.336 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.336 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.337 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
5.339 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
5.339 * [backup-simplify]: Simplify (+ 0 0) into 0
5.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.341 * [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)))
5.341 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.341 * [taylor]: Taking taylor expansion of +nan.0 in im
5.341 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.341 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.342 * [taylor]: Taking taylor expansion of +nan.0 in im
5.342 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.342 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.342 * [taylor]: Taking taylor expansion of im in im
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify 1 into 1
5.342 * [backup-simplify]: Simplify (* 1 1) into 1
5.342 * [backup-simplify]: Simplify (/ 1 1) into 1
5.342 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.343 * [taylor]: Taking taylor expansion of +nan.0 in im
5.343 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.345 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.345 * [backup-simplify]: Simplify (+ 0 0) into 0
5.346 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.346 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.347 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.347 * [backup-simplify]: Simplify 0 into 0
5.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.351 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.354 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.354 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.355 * [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)))))
5.355 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im)))
5.355 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
5.355 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.355 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.355 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.355 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.355 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.355 * [taylor]: Taking taylor expansion of -1 in im
5.355 * [backup-simplify]: Simplify -1 into -1
5.355 * [taylor]: Taking taylor expansion of re in im
5.355 * [backup-simplify]: Simplify re into re
5.355 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.356 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.356 * [taylor]: Taking taylor expansion of -1 in im
5.356 * [backup-simplify]: Simplify -1 into -1
5.356 * [taylor]: Taking taylor expansion of re in im
5.356 * [backup-simplify]: Simplify re into re
5.356 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.356 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.356 * [taylor]: Taking taylor expansion of -1 in im
5.356 * [backup-simplify]: Simplify -1 into -1
5.356 * [taylor]: Taking taylor expansion of im in im
5.356 * [backup-simplify]: Simplify 0 into 0
5.356 * [backup-simplify]: Simplify 1 into 1
5.356 * [backup-simplify]: Simplify (/ -1 1) into -1
5.356 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.356 * [taylor]: Taking taylor expansion of -1 in im
5.356 * [backup-simplify]: Simplify -1 into -1
5.356 * [taylor]: Taking taylor expansion of im in im
5.357 * [backup-simplify]: Simplify 0 into 0
5.357 * [backup-simplify]: Simplify 1 into 1
5.357 * [backup-simplify]: Simplify (/ -1 1) into -1
5.357 * [backup-simplify]: Simplify (* -1 -1) into 1
5.358 * [backup-simplify]: Simplify (+ 0 1) into 1
5.358 * [backup-simplify]: Simplify (sqrt 1) into 1
5.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.361 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.361 * [backup-simplify]: Simplify (+ 0 0) into 0
5.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.363 * [backup-simplify]: Simplify (sqrt 0) into 0
5.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.364 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.364 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.364 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.364 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.364 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.364 * [taylor]: Taking taylor expansion of -1 in re
5.364 * [backup-simplify]: Simplify -1 into -1
5.364 * [taylor]: Taking taylor expansion of re in re
5.365 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify 1 into 1
5.365 * [backup-simplify]: Simplify (/ -1 1) into -1
5.365 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.365 * [taylor]: Taking taylor expansion of -1 in re
5.365 * [backup-simplify]: Simplify -1 into -1
5.365 * [taylor]: Taking taylor expansion of re in re
5.365 * [backup-simplify]: Simplify 0 into 0
5.365 * [backup-simplify]: Simplify 1 into 1
5.365 * [backup-simplify]: Simplify (/ -1 1) into -1
5.366 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.366 * [taylor]: Taking taylor expansion of -1 in re
5.366 * [backup-simplify]: Simplify -1 into -1
5.366 * [taylor]: Taking taylor expansion of im in re
5.366 * [backup-simplify]: Simplify im into im
5.366 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.366 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.366 * [taylor]: Taking taylor expansion of -1 in re
5.366 * [backup-simplify]: Simplify -1 into -1
5.366 * [taylor]: Taking taylor expansion of im in re
5.366 * [backup-simplify]: Simplify im into im
5.366 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.366 * [backup-simplify]: Simplify (* -1 -1) into 1
5.367 * [backup-simplify]: Simplify (+ 1 0) into 1
5.367 * [backup-simplify]: Simplify (sqrt 1) into 1
5.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.369 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.369 * [backup-simplify]: Simplify (+ 0 0) into 0
5.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.371 * [backup-simplify]: Simplify (sqrt 0) into 0
5.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.372 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.372 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.372 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.372 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.372 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.372 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.372 * [taylor]: Taking taylor expansion of -1 in re
5.372 * [backup-simplify]: Simplify -1 into -1
5.372 * [taylor]: Taking taylor expansion of re in re
5.372 * [backup-simplify]: Simplify 0 into 0
5.372 * [backup-simplify]: Simplify 1 into 1
5.373 * [backup-simplify]: Simplify (/ -1 1) into -1
5.373 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.373 * [taylor]: Taking taylor expansion of -1 in re
5.373 * [backup-simplify]: Simplify -1 into -1
5.373 * [taylor]: Taking taylor expansion of re in re
5.373 * [backup-simplify]: Simplify 0 into 0
5.373 * [backup-simplify]: Simplify 1 into 1
5.373 * [backup-simplify]: Simplify (/ -1 1) into -1
5.373 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.373 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.373 * [taylor]: Taking taylor expansion of -1 in re
5.373 * [backup-simplify]: Simplify -1 into -1
5.373 * [taylor]: Taking taylor expansion of im in re
5.373 * [backup-simplify]: Simplify im into im
5.373 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.373 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.374 * [taylor]: Taking taylor expansion of -1 in re
5.374 * [backup-simplify]: Simplify -1 into -1
5.374 * [taylor]: Taking taylor expansion of im in re
5.374 * [backup-simplify]: Simplify im into im
5.374 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.374 * [backup-simplify]: Simplify (* -1 -1) into 1
5.374 * [backup-simplify]: Simplify (+ 1 0) into 1
5.375 * [backup-simplify]: Simplify (sqrt 1) into 1
5.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.377 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.377 * [backup-simplify]: Simplify (+ 0 0) into 0
5.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.378 * [backup-simplify]: Simplify (sqrt 0) into 0
5.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.379 * [taylor]: Taking taylor expansion of 0 in im
5.379 * [backup-simplify]: Simplify 0 into 0
5.379 * [taylor]: Taking taylor expansion of +nan.0 in im
5.379 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.380 * [backup-simplify]: Simplify 0 into 0
5.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.383 * [taylor]: Taking taylor expansion of +nan.0 in im
5.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.383 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.383 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.386 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.386 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.388 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.390 * [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))
5.390 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im
5.390 * [taylor]: Taking taylor expansion of +nan.0 in im
5.390 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.390 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im
5.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
5.390 * [taylor]: Taking taylor expansion of 1/2 in im
5.390 * [backup-simplify]: Simplify 1/2 into 1/2
5.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.390 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.390 * [taylor]: Taking taylor expansion of im in im
5.390 * [backup-simplify]: Simplify 0 into 0
5.390 * [backup-simplify]: Simplify 1 into 1
5.391 * [backup-simplify]: Simplify (* 1 1) into 1
5.391 * [backup-simplify]: Simplify (/ 1 1) into 1
5.391 * [taylor]: Taking taylor expansion of +nan.0 in im
5.391 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.393 * [backup-simplify]: Simplify (+ 0 0) into 0
5.394 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.394 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.395 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
5.395 * [backup-simplify]: Simplify 0 into 0
5.395 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.395 * [backup-simplify]: Simplify 0 into 0
5.395 * [backup-simplify]: Simplify 0 into 0
5.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.398 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.398 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.398 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
5.399 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
5.399 * [backup-simplify]: Simplify (+ 0 0) into 0
5.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
5.401 * [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)))
5.401 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im
5.401 * [taylor]: Taking taylor expansion of +nan.0 in im
5.401 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.401 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im
5.401 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im
5.401 * [taylor]: Taking taylor expansion of +nan.0 in im
5.401 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
5.401 * [taylor]: Taking taylor expansion of (pow im 2) in im
5.401 * [taylor]: Taking taylor expansion of im in im
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 1 into 1
5.402 * [backup-simplify]: Simplify (* 1 1) into 1
5.402 * [backup-simplify]: Simplify (/ 1 1) into 1
5.402 * [taylor]: Taking taylor expansion of (- +nan.0) in im
5.402 * [taylor]: Taking taylor expansion of +nan.0 in im
5.402 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.404 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
5.404 * [backup-simplify]: Simplify (+ 0 0) into 0
5.404 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
5.405 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
5.405 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
5.405 * [backup-simplify]: Simplify 0 into 0
5.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.407 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.407 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
5.409 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0)
5.409 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
5.410 * [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)))))
5.410 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.410 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))
5.410 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in (re im) around 0
5.410 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in im
5.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.410 * [taylor]: Taking taylor expansion of 2.0 in im
5.410 * [backup-simplify]: Simplify 2.0 into 2.0
5.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.411 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im
5.411 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im
5.411 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
5.411 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im
5.411 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.411 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.411 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.411 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.411 * [taylor]: Taking taylor expansion of (* re re) in im
5.411 * [taylor]: Taking taylor expansion of re in im
5.411 * [backup-simplify]: Simplify re into re
5.411 * [taylor]: Taking taylor expansion of re in im
5.411 * [backup-simplify]: Simplify re into re
5.411 * [taylor]: Taking taylor expansion of (* im im) in im
5.411 * [taylor]: Taking taylor expansion of im in im
5.411 * [backup-simplify]: Simplify 0 into 0
5.411 * [backup-simplify]: Simplify 1 into 1
5.411 * [taylor]: Taking taylor expansion of im in im
5.411 * [backup-simplify]: Simplify 0 into 0
5.411 * [backup-simplify]: Simplify 1 into 1
5.411 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.412 * [backup-simplify]: Simplify (* 0 0) into 0
5.412 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.412 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.412 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.412 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.412 * [backup-simplify]: Simplify (+ 0 0) into 0
5.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.413 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
5.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
5.413 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im
5.413 * [taylor]: Taking taylor expansion of (hypot re im) in im
5.413 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.413 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
5.413 * [taylor]: Taking taylor expansion of (* re re) in im
5.413 * [taylor]: Taking taylor expansion of re in im
5.413 * [backup-simplify]: Simplify re into re
5.413 * [taylor]: Taking taylor expansion of re in im
5.413 * [backup-simplify]: Simplify re into re
5.413 * [taylor]: Taking taylor expansion of (* im im) in im
5.413 * [taylor]: Taking taylor expansion of im in im
5.413 * [backup-simplify]: Simplify 0 into 0
5.413 * [backup-simplify]: Simplify 1 into 1
5.413 * [taylor]: Taking taylor expansion of im in im
5.413 * [backup-simplify]: Simplify 0 into 0
5.413 * [backup-simplify]: Simplify 1 into 1
5.413 * [backup-simplify]: Simplify (* re re) into (pow re 2)
5.413 * [backup-simplify]: Simplify (* 0 0) into 0
5.413 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
5.413 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
5.413 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
5.414 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.414 * [backup-simplify]: Simplify (+ 0 0) into 0
5.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
5.414 * [backup-simplify]: Simplify (sqrt re) into (sqrt re)
5.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0
5.414 * [taylor]: Taking taylor expansion of re in im
5.414 * [backup-simplify]: Simplify re into re
5.414 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re
5.414 * [backup-simplify]: Simplify (+ re re) into (* 2 re)
5.414 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re))
5.415 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0
5.415 * [backup-simplify]: Simplify (+ 0 0) into 0
5.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0
5.415 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re
5.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.415 * [taylor]: Taking taylor expansion of 2.0 in re
5.415 * [backup-simplify]: Simplify 2.0 into 2.0
5.415 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.416 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re
5.416 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
5.416 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
5.416 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
5.416 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.416 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.416 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.416 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.416 * [taylor]: Taking taylor expansion of (* re re) in re
5.416 * [taylor]: Taking taylor expansion of re in re
5.416 * [backup-simplify]: Simplify 0 into 0
5.416 * [backup-simplify]: Simplify 1 into 1
5.416 * [taylor]: Taking taylor expansion of re in re
5.416 * [backup-simplify]: Simplify 0 into 0
5.416 * [backup-simplify]: Simplify 1 into 1
5.416 * [taylor]: Taking taylor expansion of (* im im) in re
5.416 * [taylor]: Taking taylor expansion of im in re
5.416 * [backup-simplify]: Simplify im into im
5.416 * [taylor]: Taking taylor expansion of im in re
5.416 * [backup-simplify]: Simplify im into im
5.416 * [backup-simplify]: Simplify (* 0 0) into 0
5.416 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.417 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.417 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.417 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.417 * [backup-simplify]: Simplify (+ 0 0) into 0
5.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.417 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.418 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.418 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.418 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.418 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.418 * [taylor]: Taking taylor expansion of (* re re) in re
5.418 * [taylor]: Taking taylor expansion of re in re
5.418 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify 1 into 1
5.418 * [taylor]: Taking taylor expansion of re in re
5.418 * [backup-simplify]: Simplify 0 into 0
5.418 * [backup-simplify]: Simplify 1 into 1
5.418 * [taylor]: Taking taylor expansion of (* im im) in re
5.418 * [taylor]: Taking taylor expansion of im in re
5.418 * [backup-simplify]: Simplify im into im
5.418 * [taylor]: Taking taylor expansion of im in re
5.418 * [backup-simplify]: Simplify im into im
5.418 * [backup-simplify]: Simplify (* 0 0) into 0
5.418 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.418 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.418 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.419 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.419 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.419 * [backup-simplify]: Simplify (+ 0 0) into 0
5.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.419 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.419 * [taylor]: Taking taylor expansion of re in re
5.419 * [backup-simplify]: Simplify 0 into 0
5.419 * [backup-simplify]: Simplify 1 into 1
5.419 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
5.419 * [backup-simplify]: Simplify (+ im 0) into im
5.419 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.419 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
5.420 * [backup-simplify]: Simplify (+ 0 1) into 1
5.420 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.420 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re
5.420 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.420 * [taylor]: Taking taylor expansion of 2.0 in re
5.420 * [backup-simplify]: Simplify 2.0 into 2.0
5.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.421 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re
5.421 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re
5.421 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)
5.421 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re
5.421 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.421 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.421 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.421 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.421 * [taylor]: Taking taylor expansion of (* re re) in re
5.421 * [taylor]: Taking taylor expansion of re in re
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 1 into 1
5.421 * [taylor]: Taking taylor expansion of re in re
5.421 * [backup-simplify]: Simplify 0 into 0
5.421 * [backup-simplify]: Simplify 1 into 1
5.421 * [taylor]: Taking taylor expansion of (* im im) in re
5.421 * [taylor]: Taking taylor expansion of im in re
5.421 * [backup-simplify]: Simplify im into im
5.421 * [taylor]: Taking taylor expansion of im in re
5.421 * [backup-simplify]: Simplify im into im
5.421 * [backup-simplify]: Simplify (* 0 0) into 0
5.421 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.422 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.422 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.422 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.422 * [backup-simplify]: Simplify (+ 0 0) into 0
5.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.422 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.423 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re
5.423 * [taylor]: Taking taylor expansion of (hypot re im) in re
5.423 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
5.423 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
5.423 * [taylor]: Taking taylor expansion of (* re re) in re
5.423 * [taylor]: Taking taylor expansion of re in re
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 1 into 1
5.423 * [taylor]: Taking taylor expansion of re in re
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 1 into 1
5.423 * [taylor]: Taking taylor expansion of (* im im) in re
5.423 * [taylor]: Taking taylor expansion of im in re
5.423 * [backup-simplify]: Simplify im into im
5.423 * [taylor]: Taking taylor expansion of im in re
5.423 * [backup-simplify]: Simplify im into im
5.423 * [backup-simplify]: Simplify (* 0 0) into 0
5.423 * [backup-simplify]: Simplify (* im im) into (pow im 2)
5.423 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
5.423 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
5.424 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
5.424 * [backup-simplify]: Simplify (+ 0 0) into 0
5.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
5.424 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0
5.424 * [taylor]: Taking taylor expansion of re in re
5.424 * [backup-simplify]: Simplify 0 into 0
5.424 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im
5.424 * [backup-simplify]: Simplify (+ im 0) into im
5.424 * [backup-simplify]: Simplify (sqrt im) into (sqrt im)
5.425 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0
5.425 * [backup-simplify]: Simplify (+ 0 1) into 1
5.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im)))
5.425 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im))
5.425 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im
5.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.425 * [taylor]: Taking taylor expansion of 2.0 in im
5.425 * [backup-simplify]: Simplify 2.0 into 2.0
5.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.426 * [taylor]: Taking taylor expansion of (sqrt im) in im
5.426 * [taylor]: Taking taylor expansion of im in im
5.426 * [backup-simplify]: Simplify 0 into 0
5.426 * [backup-simplify]: Simplify 1 into 1
5.426 * [backup-simplify]: Simplify (sqrt 0) into 0
5.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.427 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.427 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))
5.428 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im
5.428 * [taylor]: Taking taylor expansion of 1/2 in im
5.428 * [backup-simplify]: Simplify 1/2 into 1/2
5.428 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im
5.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.428 * [taylor]: Taking taylor expansion of 2.0 in im
5.428 * [backup-simplify]: Simplify 2.0 into 2.0
5.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.429 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im
5.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.429 * [taylor]: Taking taylor expansion of im in im
5.429 * [backup-simplify]: Simplify 0 into 0
5.429 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify (/ 1 1) into 1
5.429 * [backup-simplify]: Simplify (sqrt 0) into 0
5.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.433 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.434 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.438 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.439 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.441 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.443 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.444 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.444 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.444 * [backup-simplify]: Simplify (+ 1 0) into 1
5.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.446 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
5.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.447 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
5.448 * [backup-simplify]: Simplify (+ 1 0) into 1
5.449 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
5.449 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3))))
5.450 * [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))
5.450 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im))
5.451 * [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))))
5.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.453 * [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)))))
5.453 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im
5.453 * [taylor]: Taking taylor expansion of 1/8 in im
5.453 * [backup-simplify]: Simplify 1/8 into 1/8
5.453 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im
5.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.453 * [taylor]: Taking taylor expansion of 2.0 in im
5.453 * [backup-simplify]: Simplify 2.0 into 2.0
5.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im
5.455 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im
5.455 * [taylor]: Taking taylor expansion of (pow im 3) in im
5.455 * [taylor]: Taking taylor expansion of im in im
5.455 * [backup-simplify]: Simplify 0 into 0
5.455 * [backup-simplify]: Simplify 1 into 1
5.455 * [backup-simplify]: Simplify (* 1 1) into 1
5.455 * [backup-simplify]: Simplify (* 1 1) into 1
5.456 * [backup-simplify]: Simplify (/ 1 1) into 1
5.456 * [backup-simplify]: Simplify (sqrt 0) into 0
5.458 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.463 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.466 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.468 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.469 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.474 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.476 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.481 * [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)))))))
5.481 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))))
5.481 * [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
5.481 * [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
5.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.481 * [taylor]: Taking taylor expansion of 2.0 in im
5.481 * [backup-simplify]: Simplify 2.0 into 2.0
5.482 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.482 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im
5.482 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im
5.483 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
5.483 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im
5.483 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
5.483 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.483 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.483 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.483 * [taylor]: Taking taylor expansion of re in im
5.483 * [backup-simplify]: Simplify re into re
5.483 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.483 * [taylor]: Taking taylor expansion of re in im
5.483 * [backup-simplify]: Simplify re into re
5.483 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.483 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.483 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.483 * [taylor]: Taking taylor expansion of im in im
5.483 * [backup-simplify]: Simplify 0 into 0
5.483 * [backup-simplify]: Simplify 1 into 1
5.484 * [backup-simplify]: Simplify (/ 1 1) into 1
5.484 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.484 * [taylor]: Taking taylor expansion of im in im
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 1 into 1
5.484 * [backup-simplify]: Simplify (/ 1 1) into 1
5.485 * [backup-simplify]: Simplify (* 1 1) into 1
5.485 * [backup-simplify]: Simplify (+ 0 1) into 1
5.485 * [backup-simplify]: Simplify (sqrt 1) into 1
5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.488 * [backup-simplify]: Simplify (+ 0 0) into 0
5.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.489 * [backup-simplify]: Simplify (sqrt 0) into 0
5.491 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.491 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im
5.491 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
5.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.491 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
5.491 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
5.491 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.491 * [taylor]: Taking taylor expansion of re in im
5.491 * [backup-simplify]: Simplify re into re
5.491 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.491 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.491 * [taylor]: Taking taylor expansion of re in im
5.491 * [backup-simplify]: Simplify re into re
5.491 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.491 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
5.491 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.491 * [taylor]: Taking taylor expansion of im in im
5.491 * [backup-simplify]: Simplify 0 into 0
5.491 * [backup-simplify]: Simplify 1 into 1
5.492 * [backup-simplify]: Simplify (/ 1 1) into 1
5.492 * [taylor]: Taking taylor expansion of (/ 1 im) in im
5.492 * [taylor]: Taking taylor expansion of im in im
5.492 * [backup-simplify]: Simplify 0 into 0
5.492 * [backup-simplify]: Simplify 1 into 1
5.492 * [backup-simplify]: Simplify (/ 1 1) into 1
5.493 * [backup-simplify]: Simplify (* 1 1) into 1
5.493 * [backup-simplify]: Simplify (+ 0 1) into 1
5.493 * [backup-simplify]: Simplify (sqrt 1) into 1
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.496 * [backup-simplify]: Simplify (+ 0 0) into 0
5.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.497 * [backup-simplify]: Simplify (sqrt 0) into 0
5.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.498 * [taylor]: Taking taylor expansion of (/ 1 re) in im
5.498 * [taylor]: Taking taylor expansion of re in im
5.498 * [backup-simplify]: Simplify re into re
5.498 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
5.499 * [backup-simplify]: Simplify (* 0 0) into 0
5.499 * [backup-simplify]: Simplify (+ 0 0) into 0
5.500 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.500 * [backup-simplify]: Simplify (+ 0 0) into 0
5.503 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.506 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.509 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
5.509 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0)
5.510 * [backup-simplify]: Simplify (sqrt (- (/ 1 re) +nan.0)) into (sqrt (- (/ 1 re) +nan.0))
5.510 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
5.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.513 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.516 * [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))
5.517 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2))
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.520 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.524 * [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))
5.525 * [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)
5.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
5.526 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.527 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 re) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 re) +nan.0))))
5.527 * [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
5.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.527 * [taylor]: Taking taylor expansion of 2.0 in re
5.527 * [backup-simplify]: Simplify 2.0 into 2.0
5.527 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.528 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
5.528 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
5.528 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
5.528 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
5.528 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.528 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.529 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.529 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.529 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.529 * [taylor]: Taking taylor expansion of re in re
5.529 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify 1 into 1
5.529 * [backup-simplify]: Simplify (/ 1 1) into 1
5.529 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.529 * [taylor]: Taking taylor expansion of re in re
5.529 * [backup-simplify]: Simplify 0 into 0
5.529 * [backup-simplify]: Simplify 1 into 1
5.530 * [backup-simplify]: Simplify (/ 1 1) into 1
5.530 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.530 * [taylor]: Taking taylor expansion of im in re
5.530 * [backup-simplify]: Simplify im into im
5.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.530 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.530 * [taylor]: Taking taylor expansion of im in re
5.530 * [backup-simplify]: Simplify im into im
5.530 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.530 * [backup-simplify]: Simplify (* 1 1) into 1
5.531 * [backup-simplify]: Simplify (+ 1 0) into 1
5.531 * [backup-simplify]: Simplify (sqrt 1) into 1
5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.532 * [backup-simplify]: Simplify (+ 0 0) into 0
5.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.533 * [backup-simplify]: Simplify (sqrt 0) into 0
5.534 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.534 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.534 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.534 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.534 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.534 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.534 * [taylor]: Taking taylor expansion of re in re
5.534 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify 1 into 1
5.534 * [backup-simplify]: Simplify (/ 1 1) into 1
5.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.535 * [taylor]: Taking taylor expansion of re in re
5.535 * [backup-simplify]: Simplify 0 into 0
5.535 * [backup-simplify]: Simplify 1 into 1
5.535 * [backup-simplify]: Simplify (/ 1 1) into 1
5.535 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.535 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.535 * [taylor]: Taking taylor expansion of im in re
5.535 * [backup-simplify]: Simplify im into im
5.535 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.535 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.535 * [taylor]: Taking taylor expansion of im in re
5.535 * [backup-simplify]: Simplify im into im
5.535 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.535 * [backup-simplify]: Simplify (* 1 1) into 1
5.535 * [backup-simplify]: Simplify (+ 1 0) into 1
5.536 * [backup-simplify]: Simplify (sqrt 1) into 1
5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.537 * [backup-simplify]: Simplify (+ 0 0) into 0
5.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.538 * [backup-simplify]: Simplify (sqrt 0) into 0
5.539 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.539 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.539 * [taylor]: Taking taylor expansion of re in re
5.539 * [backup-simplify]: Simplify 0 into 0
5.539 * [backup-simplify]: Simplify 1 into 1
5.539 * [backup-simplify]: Simplify (/ 1 1) into 1
5.539 * [backup-simplify]: Simplify (* 0 0) into 0
5.539 * [backup-simplify]: Simplify (+ 0 0) into 0
5.540 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.540 * [backup-simplify]: Simplify (+ 0 1) into 1
5.540 * [backup-simplify]: Simplify (sqrt 0) into 0
5.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.541 * [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
5.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.541 * [taylor]: Taking taylor expansion of 2.0 in re
5.541 * [backup-simplify]: Simplify 2.0 into 2.0
5.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.542 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re
5.542 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re
5.542 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re))
5.542 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re
5.542 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.542 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.542 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.542 * [taylor]: Taking taylor expansion of re in re
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 1 into 1
5.542 * [backup-simplify]: Simplify (/ 1 1) into 1
5.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.543 * [taylor]: Taking taylor expansion of re in re
5.543 * [backup-simplify]: Simplify 0 into 0
5.543 * [backup-simplify]: Simplify 1 into 1
5.543 * [backup-simplify]: Simplify (/ 1 1) into 1
5.543 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.543 * [taylor]: Taking taylor expansion of im in re
5.543 * [backup-simplify]: Simplify im into im
5.543 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.543 * [taylor]: Taking taylor expansion of im in re
5.543 * [backup-simplify]: Simplify im into im
5.543 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.543 * [backup-simplify]: Simplify (* 1 1) into 1
5.544 * [backup-simplify]: Simplify (+ 1 0) into 1
5.544 * [backup-simplify]: Simplify (sqrt 1) into 1
5.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.545 * [backup-simplify]: Simplify (+ 0 0) into 0
5.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.546 * [backup-simplify]: Simplify (sqrt 0) into 0
5.547 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.547 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re
5.547 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
5.547 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
5.547 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
5.547 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
5.547 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.547 * [taylor]: Taking taylor expansion of re in re
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify 1 into 1
5.547 * [backup-simplify]: Simplify (/ 1 1) into 1
5.547 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.547 * [taylor]: Taking taylor expansion of re in re
5.547 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify 1 into 1
5.548 * [backup-simplify]: Simplify (/ 1 1) into 1
5.548 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
5.548 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.548 * [taylor]: Taking taylor expansion of im in re
5.548 * [backup-simplify]: Simplify im into im
5.548 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.548 * [taylor]: Taking taylor expansion of (/ 1 im) in re
5.548 * [taylor]: Taking taylor expansion of im in re
5.548 * [backup-simplify]: Simplify im into im
5.548 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
5.548 * [backup-simplify]: Simplify (* 1 1) into 1
5.548 * [backup-simplify]: Simplify (+ 1 0) into 1
5.548 * [backup-simplify]: Simplify (sqrt 1) into 1
5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.550 * [backup-simplify]: Simplify (+ 0 0) into 0
5.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.551 * [backup-simplify]: Simplify (sqrt 0) into 0
5.551 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re
5.551 * [taylor]: Taking taylor expansion of re in re
5.551 * [backup-simplify]: Simplify 0 into 0
5.551 * [backup-simplify]: Simplify 1 into 1
5.552 * [backup-simplify]: Simplify (/ 1 1) into 1
5.552 * [backup-simplify]: Simplify (* 0 0) into 0
5.552 * [backup-simplify]: Simplify (+ 0 0) into 0
5.552 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.553 * [backup-simplify]: Simplify (+ 0 1) into 1
5.553 * [backup-simplify]: Simplify (sqrt 0) into 0
5.554 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.554 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.554 * [taylor]: Taking taylor expansion of 0 in im
5.554 * [backup-simplify]: Simplify 0 into 0
5.554 * [backup-simplify]: Simplify 0 into 0
5.555 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.555 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.555 * [taylor]: Taking taylor expansion of +nan.0 in im
5.555 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.556 * [taylor]: Taking taylor expansion of 2.0 in im
5.556 * [backup-simplify]: Simplify 2.0 into 2.0
5.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.557 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.558 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.558 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.559 * [backup-simplify]: Simplify 0 into 0
5.562 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.564 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.565 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
5.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.566 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.569 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.571 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.571 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.571 * [taylor]: Taking taylor expansion of +nan.0 in im
5.571 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.571 * [taylor]: Taking taylor expansion of 2.0 in im
5.571 * [backup-simplify]: Simplify 2.0 into 2.0
5.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.572 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.573 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.574 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.574 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.575 * [backup-simplify]: Simplify (- 0) into 0
5.575 * [backup-simplify]: Simplify 0 into 0
5.575 * [backup-simplify]: Simplify 0 into 0
5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.576 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.577 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.577 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.579 * [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))
5.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.580 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
5.580 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.581 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.582 * [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))
5.584 * [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)
5.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.585 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.590 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.594 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
5.594 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.594 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.594 * [taylor]: Taking taylor expansion of +nan.0 in im
5.594 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.594 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.594 * [taylor]: Taking taylor expansion of 2.0 in im
5.594 * [backup-simplify]: Simplify 2.0 into 2.0
5.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.596 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.598 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.599 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.604 * [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))))))))
5.605 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))))
5.605 * [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
5.605 * [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
5.605 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.605 * [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 (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im
5.606 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im
5.606 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
5.606 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im
5.606 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.606 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
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 im
5.606 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.606 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.606 * [taylor]: Taking taylor expansion of -1 in im
5.606 * [backup-simplify]: Simplify -1 into -1
5.606 * [taylor]: Taking taylor expansion of re in im
5.607 * [backup-simplify]: Simplify re into re
5.607 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.607 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.607 * [taylor]: Taking taylor expansion of -1 in im
5.607 * [backup-simplify]: Simplify -1 into -1
5.607 * [taylor]: Taking taylor expansion of re in im
5.607 * [backup-simplify]: Simplify re into re
5.607 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.607 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.607 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.607 * [taylor]: Taking taylor expansion of -1 in im
5.607 * [backup-simplify]: Simplify -1 into -1
5.607 * [taylor]: Taking taylor expansion of im in im
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) in im
5.607 * [taylor]: Taking taylor expansion of -1 in im
5.608 * [backup-simplify]: Simplify -1 into -1
5.608 * [taylor]: Taking taylor expansion of im in im
5.608 * [backup-simplify]: Simplify 0 into 0
5.608 * [backup-simplify]: Simplify 1 into 1
5.608 * [backup-simplify]: Simplify (/ -1 1) into -1
5.608 * [backup-simplify]: Simplify (* -1 -1) into 1
5.609 * [backup-simplify]: Simplify (+ 0 1) 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
5.611 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.612 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.613 * [backup-simplify]: Simplify (sqrt 0) into 0
5.614 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.614 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im
5.614 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
5.614 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.614 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
5.614 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
5.614 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.615 * [taylor]: Taking taylor expansion of -1 in im
5.615 * [backup-simplify]: Simplify -1 into -1
5.615 * [taylor]: Taking taylor expansion of re in im
5.615 * [backup-simplify]: Simplify re into re
5.615 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.615 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.615 * [taylor]: Taking taylor expansion of -1 in im
5.615 * [backup-simplify]: Simplify -1 into -1
5.615 * [taylor]: Taking taylor expansion of re in im
5.615 * [backup-simplify]: Simplify re into re
5.615 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.615 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
5.615 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.615 * [taylor]: Taking taylor expansion of -1 in im
5.615 * [backup-simplify]: Simplify -1 into -1
5.615 * [taylor]: Taking taylor expansion of im in im
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 1 into 1
5.615 * [backup-simplify]: Simplify (/ -1 1) into -1
5.615 * [taylor]: Taking taylor expansion of (/ -1 im) in im
5.615 * [taylor]: Taking taylor expansion of -1 in im
5.615 * [backup-simplify]: Simplify -1 into -1
5.615 * [taylor]: Taking taylor expansion of im in im
5.615 * [backup-simplify]: Simplify 0 into 0
5.615 * [backup-simplify]: Simplify 1 into 1
5.616 * [backup-simplify]: Simplify (/ -1 1) into -1
5.616 * [backup-simplify]: Simplify (* -1 -1) into 1
5.616 * [backup-simplify]: Simplify (+ 0 1) into 1
5.616 * [backup-simplify]: Simplify (sqrt 1) into 1
5.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.618 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.618 * [backup-simplify]: Simplify (+ 0 0) into 0
5.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.618 * [backup-simplify]: Simplify (sqrt 0) into 0
5.619 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.619 * [taylor]: Taking taylor expansion of (/ -1 re) in im
5.619 * [taylor]: Taking taylor expansion of -1 in im
5.619 * [backup-simplify]: Simplify -1 into -1
5.619 * [taylor]: Taking taylor expansion of re in im
5.619 * [backup-simplify]: Simplify re into re
5.619 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
5.620 * [backup-simplify]: Simplify (* 0 0) into 0
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.620 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.623 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.625 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.626 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
5.627 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0)))
5.627 * [backup-simplify]: Simplify (sqrt (- (+ (/ 1 re) (- +nan.0)))) into (sqrt (- (+ (/ 1 re) (- +nan.0))))
5.627 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
5.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.629 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.629 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2))
5.630 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.631 * [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))
5.631 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2))
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 (pow re 2)) 0) into (/ 1 (pow re 2))
5.634 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2))
5.636 * [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))
5.636 * [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)
5.636 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0
5.637 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.637 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (/ 1 re) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (/ 1 re) (- +nan.0)))))
5.638 * [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
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
5.638 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re
5.638 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
5.638 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
5.638 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
5.638 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.638 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.639 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.639 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.639 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.639 * [taylor]: Taking taylor expansion of -1 in re
5.639 * [backup-simplify]: Simplify -1 into -1
5.639 * [taylor]: Taking taylor expansion of re in re
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify 1 into 1
5.639 * [backup-simplify]: Simplify (/ -1 1) into -1
5.639 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.639 * [taylor]: Taking taylor expansion of -1 in re
5.639 * [backup-simplify]: Simplify -1 into -1
5.639 * [taylor]: Taking taylor expansion of re in re
5.639 * [backup-simplify]: Simplify 0 into 0
5.639 * [backup-simplify]: Simplify 1 into 1
5.639 * [backup-simplify]: Simplify (/ -1 1) into -1
5.639 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.639 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.639 * [taylor]: Taking taylor expansion of -1 in re
5.639 * [backup-simplify]: Simplify -1 into -1
5.639 * [taylor]: Taking taylor expansion of im in re
5.639 * [backup-simplify]: Simplify im into im
5.639 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.639 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.640 * [taylor]: Taking taylor expansion of -1 in re
5.640 * [backup-simplify]: Simplify -1 into -1
5.640 * [taylor]: Taking taylor expansion of im in re
5.640 * [backup-simplify]: Simplify im into im
5.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.640 * [backup-simplify]: Simplify (* -1 -1) into 1
5.640 * [backup-simplify]: Simplify (+ 1 0) into 1
5.640 * [backup-simplify]: Simplify (sqrt 1) into 1
5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.642 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.642 * [backup-simplify]: Simplify (+ 0 0) into 0
5.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.643 * [backup-simplify]: Simplify (sqrt 0) into 0
5.643 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.643 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.643 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.644 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.644 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.644 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.644 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.644 * [taylor]: Taking taylor expansion of -1 in re
5.644 * [backup-simplify]: Simplify -1 into -1
5.644 * [taylor]: Taking taylor expansion of re in re
5.644 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify 1 into 1
5.644 * [backup-simplify]: Simplify (/ -1 1) into -1
5.644 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.644 * [taylor]: Taking taylor expansion of -1 in re
5.644 * [backup-simplify]: Simplify -1 into -1
5.644 * [taylor]: Taking taylor expansion of re in re
5.644 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify 1 into 1
5.644 * [backup-simplify]: Simplify (/ -1 1) into -1
5.644 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.644 * [taylor]: Taking taylor expansion of -1 in re
5.644 * [backup-simplify]: Simplify -1 into -1
5.644 * [taylor]: Taking taylor expansion of im in re
5.644 * [backup-simplify]: Simplify im into im
5.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.644 * [taylor]: Taking taylor expansion of -1 in re
5.644 * [backup-simplify]: Simplify -1 into -1
5.645 * [taylor]: Taking taylor expansion of im in re
5.645 * [backup-simplify]: Simplify im into im
5.645 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.645 * [backup-simplify]: Simplify (* -1 -1) into 1
5.645 * [backup-simplify]: Simplify (+ 1 0) into 1
5.645 * [backup-simplify]: Simplify (sqrt 1) into 1
5.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.647 * [backup-simplify]: Simplify (+ 0 0) into 0
5.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.647 * [backup-simplify]: Simplify (sqrt 0) into 0
5.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.648 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.648 * [taylor]: Taking taylor expansion of -1 in re
5.648 * [backup-simplify]: Simplify -1 into -1
5.648 * [taylor]: Taking taylor expansion of re in re
5.648 * [backup-simplify]: Simplify 0 into 0
5.648 * [backup-simplify]: Simplify 1 into 1
5.649 * [backup-simplify]: Simplify (/ -1 1) into -1
5.649 * [backup-simplify]: Simplify (* 0 0) into 0
5.649 * [backup-simplify]: Simplify (+ 0 0) into 0
5.650 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.650 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.650 * [backup-simplify]: Simplify (sqrt 0) into 0
5.651 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.651 * [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
5.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re
5.651 * [taylor]: Taking taylor expansion of 2.0 in re
5.651 * [backup-simplify]: Simplify 2.0 into 2.0
5.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.652 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re
5.652 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re
5.652 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re))
5.652 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re
5.652 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.652 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.652 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.652 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.652 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.652 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.652 * [taylor]: Taking taylor expansion of -1 in re
5.652 * [backup-simplify]: Simplify -1 into -1
5.652 * [taylor]: Taking taylor expansion of re in re
5.652 * [backup-simplify]: Simplify 0 into 0
5.652 * [backup-simplify]: Simplify 1 into 1
5.652 * [backup-simplify]: Simplify (/ -1 1) into -1
5.653 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.653 * [taylor]: Taking taylor expansion of -1 in re
5.653 * [backup-simplify]: Simplify -1 into -1
5.653 * [taylor]: Taking taylor expansion of re in re
5.653 * [backup-simplify]: Simplify 0 into 0
5.653 * [backup-simplify]: Simplify 1 into 1
5.653 * [backup-simplify]: Simplify (/ -1 1) into -1
5.653 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.653 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.653 * [taylor]: Taking taylor expansion of -1 in re
5.653 * [backup-simplify]: Simplify -1 into -1
5.653 * [taylor]: Taking taylor expansion of im in re
5.653 * [backup-simplify]: Simplify im into im
5.653 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.653 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.653 * [taylor]: Taking taylor expansion of -1 in re
5.653 * [backup-simplify]: Simplify -1 into -1
5.653 * [taylor]: Taking taylor expansion of im in re
5.653 * [backup-simplify]: Simplify im into im
5.653 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.653 * [backup-simplify]: Simplify (* -1 -1) into 1
5.654 * [backup-simplify]: Simplify (+ 1 0) into 1
5.654 * [backup-simplify]: Simplify (sqrt 1) into 1
5.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.655 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.655 * [backup-simplify]: Simplify (+ 0 0) into 0
5.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.656 * [backup-simplify]: Simplify (sqrt 0) into 0
5.657 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.657 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re
5.657 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
5.657 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
5.657 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
5.657 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
5.657 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.657 * [taylor]: Taking taylor expansion of -1 in re
5.657 * [backup-simplify]: Simplify -1 into -1
5.657 * [taylor]: Taking taylor expansion of re in re
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify 1 into 1
5.657 * [backup-simplify]: Simplify (/ -1 1) into -1
5.657 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.657 * [taylor]: Taking taylor expansion of -1 in re
5.657 * [backup-simplify]: Simplify -1 into -1
5.657 * [taylor]: Taking taylor expansion of re in re
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 1 into 1
5.658 * [backup-simplify]: Simplify (/ -1 1) into -1
5.658 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
5.658 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.658 * [taylor]: Taking taylor expansion of -1 in re
5.658 * [backup-simplify]: Simplify -1 into -1
5.658 * [taylor]: Taking taylor expansion of im in re
5.658 * [backup-simplify]: Simplify im into im
5.658 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.658 * [taylor]: Taking taylor expansion of (/ -1 im) in re
5.658 * [taylor]: Taking taylor expansion of -1 in re
5.658 * [backup-simplify]: Simplify -1 into -1
5.658 * [taylor]: Taking taylor expansion of im in re
5.658 * [backup-simplify]: Simplify im into im
5.658 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
5.658 * [backup-simplify]: Simplify (* -1 -1) into 1
5.659 * [backup-simplify]: Simplify (+ 1 0) into 1
5.659 * [backup-simplify]: Simplify (sqrt 1) into 1
5.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.662 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.662 * [backup-simplify]: Simplify (+ 0 0) into 0
5.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.663 * [backup-simplify]: Simplify (sqrt 0) into 0
5.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.664 * [taylor]: Taking taylor expansion of (/ -1 re) in re
5.664 * [taylor]: Taking taylor expansion of -1 in re
5.664 * [backup-simplify]: Simplify -1 into -1
5.664 * [taylor]: Taking taylor expansion of re in re
5.664 * [backup-simplify]: Simplify 0 into 0
5.664 * [backup-simplify]: Simplify 1 into 1
5.664 * [backup-simplify]: Simplify (/ -1 1) into -1
5.664 * [backup-simplify]: Simplify (* 0 0) into 0
5.665 * [backup-simplify]: Simplify (+ 0 0) into 0
5.665 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0
5.665 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.665 * [backup-simplify]: Simplify (sqrt 0) into 0
5.666 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.667 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0
5.667 * [taylor]: Taking taylor expansion of 0 in im
5.667 * [backup-simplify]: Simplify 0 into 0
5.667 * [backup-simplify]: Simplify 0 into 0
5.669 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0)))
5.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.669 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) in im
5.669 * [taylor]: Taking taylor expansion of 2.0 in im
5.669 * [backup-simplify]: Simplify 2.0 into 2.0
5.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.671 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.673 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.674 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.675 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.681 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.683 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0)
5.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.685 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.689 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0
5.693 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0)))
5.693 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.693 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.693 * [taylor]: Taking taylor expansion of +nan.0 in im
5.693 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.693 * [taylor]: Taking taylor expansion of 2.0 in im
5.693 * [backup-simplify]: Simplify 2.0 into 2.0
5.693 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.695 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.696 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.698 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0)))
5.699 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0
5.699 * [backup-simplify]: Simplify (- 0) into 0
5.699 * [backup-simplify]: Simplify 0 into 0
5.699 * [backup-simplify]: Simplify 0 into 0
5.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.702 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.702 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.703 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.704 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.706 * [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))
5.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.709 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.709 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
5.709 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
5.711 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
5.713 * [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))
5.714 * [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)
5.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.716 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0)
5.721 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0
5.725 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0)))
5.725 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im
5.725 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im
5.725 * [taylor]: Taking taylor expansion of +nan.0 in im
5.725 * [backup-simplify]: Simplify +nan.0 into +nan.0
5.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im
5.725 * [taylor]: Taking taylor expansion of 2.0 in im
5.725 * [backup-simplify]: Simplify 2.0 into 2.0
5.726 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0)
5.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0
5.727 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0))
5.728 * [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)))
5.732 * [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))))))))
5.732 * * * [progress]: simplifying candidates
5.733 * [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 (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt 1)
  (sqrt (hypot re im))
  (/ 1 2)
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt 1)
  (sqrt (hypot re im))
  (/ 1 2)
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (expm1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (log1p (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (log (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (exp (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))
  (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (* (* (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))
  (sqrt 2.0)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))
  (+ 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 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im))))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0)))))
  (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (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))))))))
5.733 * * [simplify]: iteration 0: 90 enodes
5.747 * * [simplify]: iteration 1: 195 enodes
5.866 * * [simplify]: iteration 2: 709 enodes
6.883 * * [simplify]: iteration 3: 4339 enodes
8.114 * * [simplify]: iteration complete: 5000 enodes
8.114 * * [simplify]: Extracting #0: cost 37 inf + 0
8.115 * * [simplify]: Extracting #1: cost 232 inf + 2
8.122 * * [simplify]: Extracting #2: cost 1340 inf + 120
8.144 * * [simplify]: Extracting #3: cost 479 inf + 4864
8.154 * * [simplify]: Extracting #4: cost 20 inf + 7840
8.166 * * [simplify]: Extracting #5: cost 0 inf + 8002
8.177 * [simplify]: Simplified to:
  (expm1 (+ re (hypot re im)))
  (log1p (+ re (hypot re im)))
  (hypot re im)
  (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)))
  (pow (+ re (hypot re im)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt (+ re (hypot re im)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (pow (sqrt (hypot re im)) 3)
  (fabs (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  1
  (sqrt (hypot re im))
  1/2
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (expm1 (sqrt (hypot re im)))
  (log1p (sqrt (hypot re im)))
  (log (sqrt (hypot re im)))
  (exp (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (sqrt (hypot re im)))
  (pow (sqrt (hypot re im)) 3)
  (fabs (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  1
  (sqrt (hypot re im))
  1/2
  (sqrt (sqrt (hypot re im)))
  (sqrt (sqrt (hypot re im)))
  (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)))
  (pow (sqrt (* (+ re (hypot re im)) 2.0)) 3)
  (sqrt (+ re (hypot re im)))
  (sqrt 2.0)
  1/2
  1/2
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (sqrt (sqrt (* (+ re (hypot re im)) 2.0)))
  (+ im re)
  (- re (fma (/ (* im im) (* re re)) +nan.0 (- +nan.0)))
  (- re (fma (/ (* im im) (* re re)) +nan.0 (- +nan.0)))
  (* +nan.0 (+ (- (* re re) im) (- (* im im))))
  (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re))
  (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re))
  (* +nan.0 (+ (- (* re re) im) (- (* im im))))
  (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re))
  (- (- (/ +nan.0 (* re re)) +nan.0) (/ +nan.0 re))
  (* (* (sqrt 2.0) +nan.0) (+ (- im re) (- (* re re))))
  (fma +nan.0 (- (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))))
  (fma +nan.0 (- (sqrt 2.0)) (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))))
8.177 * * * [progress]: adding candidates to table
8.505 * * [progress]: iteration 4 / 4
8.505 * * * [progress]: picking best candidate
8.536 * * * * [pick]: Picked  #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 2.0))))>
8.536 * * * [progress]: localizing error
8.555 * * * [progress]: generating rewritten candidates
8.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
8.578 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1)
8.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2)
8.603 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 2)
8.608 * * * [progress]: generating series expansions
8.608 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
8.608 * [backup-simplify]: Simplify (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) into (+ (hypot re im) re)
8.608 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0
8.608 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im
8.608 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.608 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.609 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.609 * [taylor]: Taking taylor expansion of (* re re) in im
8.609 * [taylor]: Taking taylor expansion of re in im
8.609 * [backup-simplify]: Simplify re into re
8.609 * [taylor]: Taking taylor expansion of re in im
8.609 * [backup-simplify]: Simplify re into re
8.609 * [taylor]: Taking taylor expansion of (* im im) in im
8.609 * [taylor]: Taking taylor expansion of im in im
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 1 into 1
8.609 * [taylor]: Taking taylor expansion of im in im
8.609 * [backup-simplify]: Simplify 0 into 0
8.609 * [backup-simplify]: Simplify 1 into 1
8.609 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.610 * [backup-simplify]: Simplify (* 0 0) into 0
8.610 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.610 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.610 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.611 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.611 * [backup-simplify]: Simplify (+ 0 0) into 0
8.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.612 * [taylor]: Taking taylor expansion of re in im
8.612 * [backup-simplify]: Simplify re into re
8.612 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
8.612 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.612 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.612 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.612 * [taylor]: Taking taylor expansion of (* re re) in re
8.612 * [taylor]: Taking taylor expansion of re in re
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.612 * [taylor]: Taking taylor expansion of re in re
8.612 * [backup-simplify]: Simplify 0 into 0
8.612 * [backup-simplify]: Simplify 1 into 1
8.612 * [taylor]: Taking taylor expansion of (* im im) in re
8.612 * [taylor]: Taking taylor expansion of im in re
8.612 * [backup-simplify]: Simplify im into im
8.612 * [taylor]: Taking taylor expansion of im in re
8.612 * [backup-simplify]: Simplify im into im
8.613 * [backup-simplify]: Simplify (* 0 0) into 0
8.613 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.614 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.614 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.614 * [backup-simplify]: Simplify (+ 0 0) into 0
8.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.615 * [taylor]: Taking taylor expansion of re in re
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re
8.615 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.615 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.615 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.615 * [taylor]: Taking taylor expansion of (* re re) in re
8.615 * [taylor]: Taking taylor expansion of re in re
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [taylor]: Taking taylor expansion of re in re
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [taylor]: Taking taylor expansion of (* im im) in re
8.615 * [taylor]: Taking taylor expansion of im in re
8.615 * [backup-simplify]: Simplify im into im
8.615 * [taylor]: Taking taylor expansion of im in re
8.615 * [backup-simplify]: Simplify im into im
8.615 * [backup-simplify]: Simplify (* 0 0) into 0
8.615 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.616 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.616 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.616 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.616 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.616 * [backup-simplify]: Simplify (+ 0 0) into 0
8.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.617 * [taylor]: Taking taylor expansion of re in re
8.617 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify 1 into 1
8.617 * [backup-simplify]: Simplify (+ im 0) into im
8.617 * [taylor]: Taking taylor expansion of im in im
8.617 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify 1 into 1
8.617 * [backup-simplify]: Simplify 0 into 0
8.617 * [backup-simplify]: Simplify (+ 0 1) into 1
8.617 * [taylor]: Taking taylor expansion of 1 in im
8.617 * [backup-simplify]: Simplify 1 into 1
8.617 * [backup-simplify]: Simplify 1 into 1
8.617 * [backup-simplify]: Simplify 1 into 1
8.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.618 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.618 * [backup-simplify]: Simplify (+ 1 0) into 1
8.619 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.619 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im))
8.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im
8.619 * [taylor]: Taking taylor expansion of 1/2 in im
8.619 * [backup-simplify]: Simplify 1/2 into 1/2
8.619 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.619 * [taylor]: Taking taylor expansion of im in im
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 1 into 1
8.619 * [backup-simplify]: Simplify (/ 1 1) into 1
8.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 0 into 0
8.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.621 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.622 * [backup-simplify]: Simplify (+ 0 0) into 0
8.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.622 * [backup-simplify]: Simplify (+ 0 0) into 0
8.622 * [taylor]: Taking taylor expansion of 0 in im
8.622 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify 0 into 0
8.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.623 * [backup-simplify]: Simplify 0 into 0
8.623 * [backup-simplify]: Simplify 0 into 0
8.623 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im)
8.624 * [backup-simplify]: Simplify (+ (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))
8.624 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
8.624 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im
8.624 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.624 * [taylor]: Taking taylor expansion of re in im
8.624 * [backup-simplify]: Simplify re into re
8.624 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.624 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.624 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.624 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.624 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.624 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.624 * [taylor]: Taking taylor expansion of re in im
8.624 * [backup-simplify]: Simplify re into re
8.624 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.624 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.624 * [taylor]: Taking taylor expansion of re in im
8.624 * [backup-simplify]: Simplify re into re
8.624 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.624 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.624 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.624 * [taylor]: Taking taylor expansion of im in im
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.624 * [backup-simplify]: Simplify (/ 1 1) into 1
8.625 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.625 * [taylor]: Taking taylor expansion of im in im
8.625 * [backup-simplify]: Simplify 0 into 0
8.625 * [backup-simplify]: Simplify 1 into 1
8.625 * [backup-simplify]: Simplify (/ 1 1) into 1
8.625 * [backup-simplify]: Simplify (* 1 1) into 1
8.625 * [backup-simplify]: Simplify (+ 0 1) into 1
8.626 * [backup-simplify]: Simplify (sqrt 1) into 1
8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.627 * [backup-simplify]: Simplify (+ 0 0) into 0
8.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.628 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
8.628 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.628 * [taylor]: Taking taylor expansion of re in re
8.628 * [backup-simplify]: Simplify 0 into 0
8.628 * [backup-simplify]: Simplify 1 into 1
8.628 * [backup-simplify]: Simplify (/ 1 1) into 1
8.628 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.628 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.628 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.628 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.628 * [taylor]: Taking taylor expansion of re in re
8.628 * [backup-simplify]: Simplify 0 into 0
8.628 * [backup-simplify]: Simplify 1 into 1
8.628 * [backup-simplify]: Simplify (/ 1 1) into 1
8.628 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.628 * [taylor]: Taking taylor expansion of re in re
8.628 * [backup-simplify]: Simplify 0 into 0
8.628 * [backup-simplify]: Simplify 1 into 1
8.629 * [backup-simplify]: Simplify (/ 1 1) into 1
8.629 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.629 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.629 * [taylor]: Taking taylor expansion of im in re
8.629 * [backup-simplify]: Simplify im into im
8.629 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.629 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.629 * [taylor]: Taking taylor expansion of im in re
8.629 * [backup-simplify]: Simplify im into im
8.629 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.629 * [backup-simplify]: Simplify (* 1 1) into 1
8.629 * [backup-simplify]: Simplify (+ 1 0) into 1
8.630 * [backup-simplify]: Simplify (sqrt 1) into 1
8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.631 * [backup-simplify]: Simplify (+ 0 0) into 0
8.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.632 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re
8.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.632 * [taylor]: Taking taylor expansion of re in re
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 1 into 1
8.632 * [backup-simplify]: Simplify (/ 1 1) into 1
8.632 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.632 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.632 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.632 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.632 * [taylor]: Taking taylor expansion of re in re
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (/ 1 1) into 1
8.633 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.633 * [taylor]: Taking taylor expansion of re in re
8.633 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify 1 into 1
8.633 * [backup-simplify]: Simplify (/ 1 1) into 1
8.633 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.633 * [taylor]: Taking taylor expansion of im in re
8.633 * [backup-simplify]: Simplify im into im
8.633 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.633 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.633 * [taylor]: Taking taylor expansion of im in re
8.633 * [backup-simplify]: Simplify im into im
8.633 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.633 * [backup-simplify]: Simplify (* 1 1) into 1
8.634 * [backup-simplify]: Simplify (+ 1 0) into 1
8.634 * [backup-simplify]: Simplify (sqrt 1) into 1
8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.635 * [backup-simplify]: Simplify (+ 0 0) into 0
8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.636 * [backup-simplify]: Simplify (+ 1 1) into 2
8.636 * [taylor]: Taking taylor expansion of 2 in im
8.636 * [backup-simplify]: Simplify 2 into 2
8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.637 * [backup-simplify]: Simplify (+ 0 0) into 0
8.637 * [taylor]: Taking taylor expansion of 0 in im
8.637 * [backup-simplify]: Simplify 0 into 0
8.637 * [backup-simplify]: Simplify 2 into 2
8.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.640 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.640 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.641 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.641 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2)))
8.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.641 * [taylor]: Taking taylor expansion of 1/2 in im
8.641 * [backup-simplify]: Simplify 1/2 into 1/2
8.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.641 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.641 * [taylor]: Taking taylor expansion of im in im
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 1 into 1
8.641 * [backup-simplify]: Simplify (* 1 1) into 1
8.641 * [backup-simplify]: Simplify (/ 1 1) into 1
8.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.645 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.646 * [backup-simplify]: Simplify (+ 0 0) into 0
8.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.646 * [backup-simplify]: Simplify (+ 0 0) into 0
8.646 * [taylor]: Taking taylor expansion of 0 in im
8.646 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re)
8.650 * [backup-simplify]: Simplify (+ (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))
8.650 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0
8.650 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im
8.650 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.651 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.651 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.651 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.651 * [taylor]: Taking taylor expansion of -1 in im
8.651 * [backup-simplify]: Simplify -1 into -1
8.651 * [taylor]: Taking taylor expansion of re in im
8.651 * [backup-simplify]: Simplify re into re
8.651 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.651 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.651 * [taylor]: Taking taylor expansion of -1 in im
8.651 * [backup-simplify]: Simplify -1 into -1
8.651 * [taylor]: Taking taylor expansion of re in im
8.651 * [backup-simplify]: Simplify re into re
8.651 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.651 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.651 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.651 * [taylor]: Taking taylor expansion of -1 in im
8.651 * [backup-simplify]: Simplify -1 into -1
8.651 * [taylor]: Taking taylor expansion of im in im
8.651 * [backup-simplify]: Simplify 0 into 0
8.651 * [backup-simplify]: Simplify 1 into 1
8.652 * [backup-simplify]: Simplify (/ -1 1) into -1
8.652 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.652 * [taylor]: Taking taylor expansion of -1 in im
8.652 * [backup-simplify]: Simplify -1 into -1
8.652 * [taylor]: Taking taylor expansion of im in im
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 1 into 1
8.653 * [backup-simplify]: Simplify (/ -1 1) into -1
8.653 * [backup-simplify]: Simplify (* -1 -1) into 1
8.654 * [backup-simplify]: Simplify (+ 0 1) into 1
8.654 * [backup-simplify]: Simplify (sqrt 1) into 1
8.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.657 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.657 * [backup-simplify]: Simplify (+ 0 0) into 0
8.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.658 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.658 * [taylor]: Taking taylor expansion of re in im
8.658 * [backup-simplify]: Simplify re into re
8.658 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.658 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.658 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.658 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.658 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.658 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.658 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.658 * [taylor]: Taking taylor expansion of -1 in re
8.658 * [backup-simplify]: Simplify -1 into -1
8.658 * [taylor]: Taking taylor expansion of re in re
8.658 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify 1 into 1
8.659 * [backup-simplify]: Simplify (/ -1 1) into -1
8.659 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.659 * [taylor]: Taking taylor expansion of -1 in re
8.659 * [backup-simplify]: Simplify -1 into -1
8.659 * [taylor]: Taking taylor expansion of re in re
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.660 * [backup-simplify]: Simplify (/ -1 1) into -1
8.660 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.660 * [taylor]: Taking taylor expansion of -1 in re
8.660 * [backup-simplify]: Simplify -1 into -1
8.660 * [taylor]: Taking taylor expansion of im in re
8.660 * [backup-simplify]: Simplify im into im
8.660 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.660 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.660 * [taylor]: Taking taylor expansion of -1 in re
8.660 * [backup-simplify]: Simplify -1 into -1
8.660 * [taylor]: Taking taylor expansion of im in re
8.660 * [backup-simplify]: Simplify im into im
8.660 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.661 * [backup-simplify]: Simplify (* -1 -1) into 1
8.661 * [backup-simplify]: Simplify (+ 1 0) into 1
8.661 * [backup-simplify]: Simplify (sqrt 1) into 1
8.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.664 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.664 * [backup-simplify]: Simplify (+ 0 0) into 0
8.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.665 * [taylor]: Taking taylor expansion of re in re
8.665 * [backup-simplify]: Simplify 0 into 0
8.665 * [backup-simplify]: Simplify 1 into 1
8.666 * [backup-simplify]: Simplify (/ 1 1) into 1
8.666 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re
8.666 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.666 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.666 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.666 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.666 * [taylor]: Taking taylor expansion of -1 in re
8.666 * [backup-simplify]: Simplify -1 into -1
8.666 * [taylor]: Taking taylor expansion of re in re
8.666 * [backup-simplify]: Simplify 0 into 0
8.666 * [backup-simplify]: Simplify 1 into 1
8.667 * [backup-simplify]: Simplify (/ -1 1) into -1
8.667 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.667 * [taylor]: Taking taylor expansion of -1 in re
8.667 * [backup-simplify]: Simplify -1 into -1
8.667 * [taylor]: Taking taylor expansion of re in re
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 1 into 1
8.667 * [backup-simplify]: Simplify (/ -1 1) into -1
8.667 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.667 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.667 * [taylor]: Taking taylor expansion of -1 in re
8.667 * [backup-simplify]: Simplify -1 into -1
8.667 * [taylor]: Taking taylor expansion of im in re
8.667 * [backup-simplify]: Simplify im into im
8.668 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.668 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.668 * [taylor]: Taking taylor expansion of -1 in re
8.668 * [backup-simplify]: Simplify -1 into -1
8.668 * [taylor]: Taking taylor expansion of im in re
8.668 * [backup-simplify]: Simplify im into im
8.668 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.668 * [backup-simplify]: Simplify (* -1 -1) into 1
8.669 * [backup-simplify]: Simplify (+ 1 0) into 1
8.669 * [backup-simplify]: Simplify (sqrt 1) into 1
8.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.671 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.672 * [backup-simplify]: Simplify (+ 0 0) into 0
8.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.673 * [taylor]: Taking taylor expansion of re in re
8.673 * [backup-simplify]: Simplify 0 into 0
8.673 * [backup-simplify]: Simplify 1 into 1
8.673 * [backup-simplify]: Simplify (/ 1 1) into 1
8.674 * [backup-simplify]: Simplify (- 1) into -1
8.674 * [backup-simplify]: Simplify (+ 1 -1) into 0
8.674 * [taylor]: Taking taylor expansion of 0 in im
8.674 * [backup-simplify]: Simplify 0 into 0
8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.675 * [backup-simplify]: Simplify (- 0) into 0
8.676 * [backup-simplify]: Simplify (+ 0 0) into 0
8.676 * [taylor]: Taking taylor expansion of 0 in im
8.676 * [backup-simplify]: Simplify 0 into 0
8.676 * [backup-simplify]: Simplify 0 into 0
8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.679 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.679 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.679 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.681 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (- 0) into 0
8.683 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2)))
8.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im
8.683 * [taylor]: Taking taylor expansion of 1/2 in im
8.683 * [backup-simplify]: Simplify 1/2 into 1/2
8.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.683 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.683 * [taylor]: Taking taylor expansion of im in im
8.683 * [backup-simplify]: Simplify 0 into 0
8.683 * [backup-simplify]: Simplify 1 into 1
8.684 * [backup-simplify]: Simplify (* 1 1) into 1
8.684 * [backup-simplify]: Simplify (/ 1 1) into 1
8.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.686 * [backup-simplify]: Simplify 0 into 0
8.686 * [backup-simplify]: Simplify 0 into 0
8.686 * [backup-simplify]: Simplify 0 into 0
8.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.690 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.690 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.690 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.691 * [backup-simplify]: Simplify (+ 0 0) into 0
8.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.693 * [backup-simplify]: Simplify (- 0) into 0
8.693 * [backup-simplify]: Simplify (+ 0 0) into 0
8.693 * [taylor]: Taking taylor expansion of 0 in im
8.693 * [backup-simplify]: Simplify 0 into 0
8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * [backup-simplify]: Simplify 0 into 0
8.697 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1)
8.697 * [backup-simplify]: Simplify (* (cbrt (hypot re im)) (cbrt (hypot re im))) into (pow (pow (hypot re im) 2) 1/3)
8.697 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in (re im) around 0
8.697 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im
8.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im
8.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im
8.697 * [taylor]: Taking taylor expansion of 1/3 in im
8.697 * [backup-simplify]: Simplify 1/3 into 1/3
8.697 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im
8.697 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im
8.697 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.698 * [taylor]: Taking taylor expansion of (* re re) in im
8.698 * [taylor]: Taking taylor expansion of re in im
8.698 * [backup-simplify]: Simplify re into re
8.698 * [taylor]: Taking taylor expansion of re in im
8.698 * [backup-simplify]: Simplify re into re
8.698 * [taylor]: Taking taylor expansion of (* im im) in im
8.698 * [taylor]: Taking taylor expansion of im in im
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.698 * [taylor]: Taking taylor expansion of im in im
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.698 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.699 * [backup-simplify]: Simplify (* 0 0) into 0
8.699 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.699 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.700 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.700 * [backup-simplify]: Simplify (+ 0 0) into 0
8.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.700 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.701 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2))
8.701 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2)))
8.701 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3)
8.701 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re
8.701 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re
8.701 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re
8.701 * [taylor]: Taking taylor expansion of 1/3 in re
8.701 * [backup-simplify]: Simplify 1/3 into 1/3
8.701 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re
8.701 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re
8.701 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.701 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.701 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.701 * [taylor]: Taking taylor expansion of (* re re) in re
8.701 * [taylor]: Taking taylor expansion of re in re
8.701 * [backup-simplify]: Simplify 0 into 0
8.701 * [backup-simplify]: Simplify 1 into 1
8.701 * [taylor]: Taking taylor expansion of re in re
8.702 * [backup-simplify]: Simplify 0 into 0
8.702 * [backup-simplify]: Simplify 1 into 1
8.702 * [taylor]: Taking taylor expansion of (* im im) in re
8.702 * [taylor]: Taking taylor expansion of im in re
8.702 * [backup-simplify]: Simplify im into im
8.702 * [taylor]: Taking taylor expansion of im in re
8.702 * [backup-simplify]: Simplify im into im
8.702 * [backup-simplify]: Simplify (* 0 0) into 0
8.702 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.702 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.703 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.703 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.703 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.704 * [backup-simplify]: Simplify (+ 0 0) into 0
8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.704 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.704 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.704 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
8.705 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
8.705 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re
8.705 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re
8.705 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re
8.705 * [taylor]: Taking taylor expansion of 1/3 in re
8.705 * [backup-simplify]: Simplify 1/3 into 1/3
8.705 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re
8.705 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re
8.705 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.705 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.705 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.705 * [taylor]: Taking taylor expansion of (* re re) in re
8.705 * [taylor]: Taking taylor expansion of re in re
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify 1 into 1
8.705 * [taylor]: Taking taylor expansion of re in re
8.705 * [backup-simplify]: Simplify 0 into 0
8.705 * [backup-simplify]: Simplify 1 into 1
8.705 * [taylor]: Taking taylor expansion of (* im im) in re
8.705 * [taylor]: Taking taylor expansion of im in re
8.705 * [backup-simplify]: Simplify im into im
8.705 * [taylor]: Taking taylor expansion of im in re
8.705 * [backup-simplify]: Simplify im into im
8.706 * [backup-simplify]: Simplify (* 0 0) into 0
8.706 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.706 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.707 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.708 * [backup-simplify]: Simplify (+ 0 0) into 0
8.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.708 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.708 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2))
8.708 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2)))
8.708 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3)
8.708 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im
8.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im
8.708 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im
8.708 * [taylor]: Taking taylor expansion of 1/3 in im
8.708 * [backup-simplify]: Simplify 1/3 into 1/3
8.708 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im
8.708 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.708 * [taylor]: Taking taylor expansion of im in im
8.708 * [backup-simplify]: Simplify 0 into 0
8.708 * [backup-simplify]: Simplify 1 into 1
8.709 * [backup-simplify]: Simplify (* 1 1) into 1
8.709 * [backup-simplify]: Simplify (log 1) into 0
8.709 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.709 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im))
8.709 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3)
8.709 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3)
8.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.710 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0
8.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0
8.711 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.711 * [taylor]: Taking taylor expansion of 0 in im
8.711 * [backup-simplify]: Simplify 0 into 0
8.711 * [backup-simplify]: Simplify 0 into 0
8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.712 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.713 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.713 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0
8.713 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.714 * [backup-simplify]: Simplify 0 into 0
8.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.715 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.715 * [backup-simplify]: Simplify (+ 1 0) into 1
8.715 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.716 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1
8.717 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2))
8.718 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2)))
8.719 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
8.719 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im
8.719 * [taylor]: Taking taylor expansion of 1/3 in im
8.719 * [backup-simplify]: Simplify 1/3 into 1/3
8.719 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im
8.719 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im
8.719 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im
8.719 * [taylor]: Taking taylor expansion of 1/3 in im
8.719 * [backup-simplify]: Simplify 1/3 into 1/3
8.719 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im
8.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im
8.719 * [taylor]: Taking taylor expansion of (pow im 4) in im
8.719 * [taylor]: Taking taylor expansion of im in im
8.719 * [backup-simplify]: Simplify 0 into 0
8.719 * [backup-simplify]: Simplify 1 into 1
8.719 * [backup-simplify]: Simplify (* 1 1) into 1
8.720 * [backup-simplify]: Simplify (* 1 1) into 1
8.720 * [backup-simplify]: Simplify (/ 1 1) into 1
8.720 * [backup-simplify]: Simplify (log 1) into 0
8.720 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
8.721 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im))
8.721 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3)
8.721 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
8.721 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3))
8.721 * [backup-simplify]: Simplify 0 into 0
8.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.724 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.724 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0
8.728 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.728 * [backup-simplify]: Simplify 0 into 0
8.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.729 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.730 * [backup-simplify]: Simplify (+ 0 0) into 0
8.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.730 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0
8.732 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0
8.733 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0
8.734 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.734 * [taylor]: Taking taylor expansion of 0 in im
8.734 * [backup-simplify]: Simplify 0 into 0
8.734 * [backup-simplify]: Simplify 0 into 0
8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.736 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.737 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im)))
8.737 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0
8.738 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.738 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0
8.738 * [backup-simplify]: Simplify 0 into 0
8.738 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.741 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.742 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im))
8.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0
8.743 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.744 * [backup-simplify]: Simplify 0 into 0
8.744 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
8.744 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3)
8.744 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in (re im) around 0
8.744 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im
8.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im
8.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im
8.744 * [taylor]: Taking taylor expansion of 1/3 in im
8.744 * [backup-simplify]: Simplify 1/3 into 1/3
8.744 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im
8.744 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im
8.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.744 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.744 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.745 * [taylor]: Taking taylor expansion of re in im
8.745 * [backup-simplify]: Simplify re into re
8.745 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.745 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.745 * [taylor]: Taking taylor expansion of re in im
8.745 * [backup-simplify]: Simplify re into re
8.745 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.745 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.745 * [taylor]: Taking taylor expansion of (/ 1 im) in 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 (/ 1 1) into 1
8.745 * [taylor]: Taking taylor expansion of (/ 1 im) in 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 (/ 1 1) into 1
8.746 * [backup-simplify]: Simplify (* 1 1) into 1
8.746 * [backup-simplify]: Simplify (+ 0 1) into 1
8.746 * [backup-simplify]: Simplify (sqrt 1) into 1
8.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.748 * [backup-simplify]: Simplify (+ 0 0) into 0
8.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.749 * [backup-simplify]: Simplify (* 1 1) into 1
8.750 * [backup-simplify]: Simplify (log 1) into 0
8.750 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
8.750 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
8.751 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
8.751 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re
8.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re
8.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re
8.751 * [taylor]: Taking taylor expansion of 1/3 in re
8.751 * [backup-simplify]: Simplify 1/3 into 1/3
8.751 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re
8.751 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re
8.751 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.751 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.751 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.751 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.751 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.751 * [taylor]: Taking taylor expansion of re in re
8.751 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify 1 into 1
8.752 * [backup-simplify]: Simplify (/ 1 1) into 1
8.752 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.752 * [taylor]: Taking taylor expansion of re in re
8.752 * [backup-simplify]: Simplify 0 into 0
8.752 * [backup-simplify]: Simplify 1 into 1
8.752 * [backup-simplify]: Simplify (/ 1 1) into 1
8.752 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.752 * [taylor]: Taking taylor expansion of im in re
8.752 * [backup-simplify]: Simplify im into im
8.752 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.752 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.752 * [taylor]: Taking taylor expansion of im in re
8.752 * [backup-simplify]: Simplify im into im
8.752 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.753 * [backup-simplify]: Simplify (* 1 1) into 1
8.753 * [backup-simplify]: Simplify (+ 1 0) into 1
8.754 * [backup-simplify]: Simplify (sqrt 1) into 1
8.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.756 * [backup-simplify]: Simplify (+ 0 0) into 0
8.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.757 * [backup-simplify]: Simplify (* 1 1) into 1
8.758 * [backup-simplify]: Simplify (log 1) into 0
8.758 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.758 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.758 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.758 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re
8.758 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re
8.758 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re
8.759 * [taylor]: Taking taylor expansion of 1/3 in re
8.759 * [backup-simplify]: Simplify 1/3 into 1/3
8.759 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re
8.759 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re
8.759 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.759 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.759 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.759 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.759 * [taylor]: Taking taylor expansion of re in re
8.759 * [backup-simplify]: Simplify 0 into 0
8.759 * [backup-simplify]: Simplify 1 into 1
8.759 * [backup-simplify]: Simplify (/ 1 1) into 1
8.759 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.759 * [taylor]: Taking taylor expansion of re in re
8.760 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify 1 into 1
8.760 * [backup-simplify]: Simplify (/ 1 1) into 1
8.760 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.760 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.760 * [taylor]: Taking taylor expansion of im in re
8.760 * [backup-simplify]: Simplify im into im
8.760 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.760 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.760 * [taylor]: Taking taylor expansion of im in re
8.760 * [backup-simplify]: Simplify im into im
8.760 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.761 * [backup-simplify]: Simplify (* 1 1) into 1
8.761 * [backup-simplify]: Simplify (+ 1 0) into 1
8.762 * [backup-simplify]: Simplify (sqrt 1) into 1
8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.764 * [backup-simplify]: Simplify (+ 0 0) into 0
8.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.765 * [backup-simplify]: Simplify (* 1 1) into 1
8.766 * [backup-simplify]: Simplify (log 1) into 0
8.766 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.766 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.766 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.766 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
8.766 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
8.766 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
8.767 * [taylor]: Taking taylor expansion of -2/3 in im
8.767 * [backup-simplify]: Simplify -2/3 into -2/3
8.767 * [taylor]: Taking taylor expansion of (log re) in im
8.767 * [taylor]: Taking taylor expansion of re in im
8.767 * [backup-simplify]: Simplify re into re
8.767 * [backup-simplify]: Simplify (log re) into (log re)
8.767 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
8.767 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.767 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
8.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.770 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
8.771 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.771 * [taylor]: Taking taylor expansion of 0 in im
8.771 * [backup-simplify]: Simplify 0 into 0
8.771 * [backup-simplify]: Simplify 0 into 0
8.772 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.773 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
8.773 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.774 * [backup-simplify]: Simplify 0 into 0
8.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.776 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.777 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.779 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2))
8.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
8.782 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.783 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
8.784 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
8.784 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
8.784 * [taylor]: Taking taylor expansion of 1/3 in im
8.784 * [backup-simplify]: Simplify 1/3 into 1/3
8.784 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
8.784 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.784 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.784 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.784 * [taylor]: Taking taylor expansion of 1/3 in im
8.784 * [backup-simplify]: Simplify 1/3 into 1/3
8.784 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.784 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.784 * [taylor]: Taking taylor expansion of re in im
8.784 * [backup-simplify]: Simplify re into re
8.784 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.785 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.785 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.785 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.785 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.785 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.785 * [taylor]: Taking taylor expansion of im in im
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify 1 into 1
8.786 * [backup-simplify]: Simplify (* 1 1) into 1
8.786 * [backup-simplify]: Simplify (/ 1 1) into 1
8.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.790 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.791 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.792 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.793 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.793 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
8.796 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
8.797 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
8.799 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.800 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.800 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
8.801 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
8.802 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 0 into 0
8.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.805 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.806 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.806 * [backup-simplify]: Simplify 0 into 0
8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.808 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.809 * [backup-simplify]: Simplify (+ 0 0) into 0
8.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
8.812 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.813 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.813 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
8.815 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) 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 into 0
8.815 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3)
8.815 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3)
8.815 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in (re im) around 0
8.815 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im
8.815 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im
8.815 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im
8.815 * [taylor]: Taking taylor expansion of 1/3 in im
8.815 * [backup-simplify]: Simplify 1/3 into 1/3
8.815 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im
8.815 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im
8.815 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.815 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.815 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.816 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.816 * [taylor]: Taking taylor expansion of -1 in im
8.816 * [backup-simplify]: Simplify -1 into -1
8.816 * [taylor]: Taking taylor expansion of re in im
8.816 * [backup-simplify]: Simplify re into re
8.816 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.816 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.816 * [taylor]: Taking taylor expansion of -1 in im
8.816 * [backup-simplify]: Simplify -1 into -1
8.816 * [taylor]: Taking taylor expansion of re in im
8.816 * [backup-simplify]: Simplify re into re
8.816 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.816 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.816 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.816 * [taylor]: Taking taylor expansion of -1 in im
8.816 * [backup-simplify]: Simplify -1 into -1
8.816 * [taylor]: Taking taylor expansion of im in im
8.816 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify 1 into 1
8.816 * [backup-simplify]: Simplify (/ -1 1) into -1
8.816 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.816 * [taylor]: Taking taylor expansion of -1 in im
8.816 * [backup-simplify]: Simplify -1 into -1
8.816 * [taylor]: Taking taylor expansion of im in im
8.816 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify 1 into 1
8.816 * [backup-simplify]: Simplify (/ -1 1) into -1
8.817 * [backup-simplify]: Simplify (* -1 -1) into 1
8.817 * [backup-simplify]: Simplify (+ 0 1) into 1
8.817 * [backup-simplify]: Simplify (sqrt 1) into 1
8.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.819 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.819 * [backup-simplify]: Simplify (+ 0 0) into 0
8.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.820 * [backup-simplify]: Simplify (* 1 1) into 1
8.820 * [backup-simplify]: Simplify (log 1) into 0
8.820 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im)))
8.820 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im))
8.820 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3)
8.820 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re
8.820 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re
8.820 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re
8.820 * [taylor]: Taking taylor expansion of 1/3 in re
8.820 * [backup-simplify]: Simplify 1/3 into 1/3
8.820 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re
8.820 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re
8.820 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.820 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.821 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.821 * [taylor]: Taking taylor expansion of -1 in re
8.821 * [backup-simplify]: Simplify -1 into -1
8.821 * [taylor]: Taking taylor expansion of re in re
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 1 into 1
8.821 * [backup-simplify]: Simplify (/ -1 1) into -1
8.821 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.821 * [taylor]: Taking taylor expansion of -1 in re
8.821 * [backup-simplify]: Simplify -1 into -1
8.821 * [taylor]: Taking taylor expansion of re in re
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 1 into 1
8.821 * [backup-simplify]: Simplify (/ -1 1) into -1
8.821 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.821 * [taylor]: Taking taylor expansion of -1 in re
8.821 * [backup-simplify]: Simplify -1 into -1
8.821 * [taylor]: Taking taylor expansion of im in re
8.821 * [backup-simplify]: Simplify im into im
8.821 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.821 * [taylor]: Taking taylor expansion of -1 in re
8.821 * [backup-simplify]: Simplify -1 into -1
8.821 * [taylor]: Taking taylor expansion of im in re
8.821 * [backup-simplify]: Simplify im into im
8.822 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.822 * [backup-simplify]: Simplify (* -1 -1) into 1
8.822 * [backup-simplify]: Simplify (+ 1 0) into 1
8.822 * [backup-simplify]: Simplify (sqrt 1) into 1
8.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.824 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.824 * [backup-simplify]: Simplify (+ 0 0) into 0
8.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.825 * [backup-simplify]: Simplify (* 1 1) into 1
8.825 * [backup-simplify]: Simplify (log 1) into 0
8.825 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.825 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.825 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.825 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re
8.825 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re
8.825 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re
8.825 * [taylor]: Taking taylor expansion of 1/3 in re
8.825 * [backup-simplify]: Simplify 1/3 into 1/3
8.825 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re
8.825 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re
8.825 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
8.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.826 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
8.826 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
8.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.826 * [taylor]: Taking taylor expansion of -1 in re
8.826 * [backup-simplify]: Simplify -1 into -1
8.826 * [taylor]: Taking taylor expansion of re in re
8.826 * [backup-simplify]: Simplify 0 into 0
8.826 * [backup-simplify]: Simplify 1 into 1
8.826 * [backup-simplify]: Simplify (/ -1 1) into -1
8.826 * [taylor]: Taking taylor expansion of (/ -1 re) in re
8.826 * [taylor]: Taking taylor expansion of -1 in re
8.826 * [backup-simplify]: Simplify -1 into -1
8.826 * [taylor]: Taking taylor expansion of re in re
8.826 * [backup-simplify]: Simplify 0 into 0
8.826 * [backup-simplify]: Simplify 1 into 1
8.826 * [backup-simplify]: Simplify (/ -1 1) into -1
8.826 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
8.826 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.826 * [taylor]: Taking taylor expansion of -1 in re
8.826 * [backup-simplify]: Simplify -1 into -1
8.826 * [taylor]: Taking taylor expansion of im in re
8.826 * [backup-simplify]: Simplify im into im
8.827 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.827 * [taylor]: Taking taylor expansion of (/ -1 im) in re
8.827 * [taylor]: Taking taylor expansion of -1 in re
8.827 * [backup-simplify]: Simplify -1 into -1
8.827 * [taylor]: Taking taylor expansion of im in re
8.827 * [backup-simplify]: Simplify im into im
8.827 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
8.827 * [backup-simplify]: Simplify (* -1 -1) into 1
8.827 * [backup-simplify]: Simplify (+ 1 0) into 1
8.827 * [backup-simplify]: Simplify (sqrt 1) into 1
8.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.829 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.829 * [backup-simplify]: Simplify (+ 0 0) into 0
8.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.830 * [backup-simplify]: Simplify (* 1 1) into 1
8.830 * [backup-simplify]: Simplify (log 1) into 0
8.830 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.830 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re))
8.830 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.830 * [taylor]: Taking taylor expansion of (pow re -2/3) in im
8.830 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im
8.830 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im
8.830 * [taylor]: Taking taylor expansion of -2/3 in im
8.831 * [backup-simplify]: Simplify -2/3 into -2/3
8.831 * [taylor]: Taking taylor expansion of (log re) in im
8.831 * [taylor]: Taking taylor expansion of re in im
8.831 * [backup-simplify]: Simplify re into re
8.831 * [backup-simplify]: Simplify (log re) into (log re)
8.831 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re))
8.831 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3)
8.831 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3)
8.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.832 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.832 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.833 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0
8.833 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.833 * [taylor]: Taking taylor expansion of 0 in im
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 0 into 0
8.834 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.834 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0
8.835 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.835 * [backup-simplify]: Simplify 0 into 0
8.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.836 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
8.837 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
8.837 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.838 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.838 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2))
8.840 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2))
8.840 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.841 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2)))
8.842 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))))
8.842 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im
8.842 * [taylor]: Taking taylor expansion of 1/3 in im
8.842 * [backup-simplify]: Simplify 1/3 into 1/3
8.843 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im
8.843 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im
8.843 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im
8.843 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im
8.843 * [taylor]: Taking taylor expansion of 1/3 in im
8.843 * [backup-simplify]: Simplify 1/3 into 1/3
8.843 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im
8.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
8.843 * [taylor]: Taking taylor expansion of (pow re 2) in im
8.843 * [taylor]: Taking taylor expansion of re in im
8.843 * [backup-simplify]: Simplify re into re
8.843 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.843 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
8.843 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2)))
8.843 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2))))
8.844 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3)
8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.844 * [taylor]: Taking taylor expansion of (pow im 2) in im
8.844 * [taylor]: Taking taylor expansion of im in im
8.844 * [backup-simplify]: Simplify 0 into 0
8.844 * [backup-simplify]: Simplify 1 into 1
8.844 * [backup-simplify]: Simplify (* 1 1) into 1
8.845 * [backup-simplify]: Simplify (/ 1 1) into 1
8.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.848 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0
8.849 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0
8.853 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0
8.854 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.855 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0
8.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0
8.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0
8.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0
8.860 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.861 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.861 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0
8.862 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3)
8.863 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.863 * [backup-simplify]: Simplify 0 into 0
8.865 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.865 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.867 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.867 * [backup-simplify]: Simplify 0 into 0
8.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.869 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.869 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
8.869 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
8.869 * [backup-simplify]: Simplify (+ 0 0) into 0
8.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0
8.873 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.873 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re)))
8.874 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0
8.875 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.875 * [taylor]: Taking taylor expansion of 0 in im
8.875 * [backup-simplify]: Simplify 0 into 0
8.875 * [backup-simplify]: Simplify 0 into 0
8.875 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3)
8.875 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2)
8.875 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
8.875 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
8.875 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
8.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
8.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
8.876 * [taylor]: Taking taylor expansion of 1/3 in im
8.876 * [backup-simplify]: Simplify 1/3 into 1/3
8.876 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
8.876 * [taylor]: Taking taylor expansion of (hypot re im) in im
8.876 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.876 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
8.876 * [taylor]: Taking taylor expansion of (* re re) in im
8.876 * [taylor]: Taking taylor expansion of re in im
8.876 * [backup-simplify]: Simplify re into re
8.876 * [taylor]: Taking taylor expansion of re in im
8.876 * [backup-simplify]: Simplify re into re
8.876 * [taylor]: Taking taylor expansion of (* im im) in im
8.876 * [taylor]: Taking taylor expansion of im in im
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify 1 into 1
8.876 * [taylor]: Taking taylor expansion of im in im
8.876 * [backup-simplify]: Simplify 0 into 0
8.876 * [backup-simplify]: Simplify 1 into 1
8.876 * [backup-simplify]: Simplify (* re re) into (pow re 2)
8.876 * [backup-simplify]: Simplify (* 0 0) into 0
8.876 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
8.876 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
8.877 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
8.877 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.877 * [backup-simplify]: Simplify (+ 0 0) into 0
8.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
8.878 * [backup-simplify]: Simplify (log re) into (log re)
8.878 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
8.878 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
8.878 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
8.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
8.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
8.878 * [taylor]: Taking taylor expansion of 1/3 in re
8.878 * [backup-simplify]: Simplify 1/3 into 1/3
8.878 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.878 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.878 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.878 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.878 * [taylor]: Taking taylor expansion of (* re re) in re
8.878 * [taylor]: Taking taylor expansion of re in re
8.878 * [backup-simplify]: Simplify 0 into 0
8.878 * [backup-simplify]: Simplify 1 into 1
8.878 * [taylor]: Taking taylor expansion of re in re
8.878 * [backup-simplify]: Simplify 0 into 0
8.878 * [backup-simplify]: Simplify 1 into 1
8.878 * [taylor]: Taking taylor expansion of (* im im) in re
8.878 * [taylor]: Taking taylor expansion of im in re
8.878 * [backup-simplify]: Simplify im into im
8.878 * [taylor]: Taking taylor expansion of im in re
8.878 * [backup-simplify]: Simplify im into im
8.878 * [backup-simplify]: Simplify (* 0 0) into 0
8.878 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.878 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.879 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.879 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.879 * [backup-simplify]: Simplify (+ 0 0) into 0
8.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.879 * [backup-simplify]: Simplify (log im) into (log im)
8.880 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.880 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.880 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
8.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
8.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
8.880 * [taylor]: Taking taylor expansion of 1/3 in re
8.880 * [backup-simplify]: Simplify 1/3 into 1/3
8.880 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
8.880 * [taylor]: Taking taylor expansion of (hypot re im) in re
8.880 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
8.880 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
8.880 * [taylor]: Taking taylor expansion of (* re re) in re
8.880 * [taylor]: Taking taylor expansion of re in re
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [backup-simplify]: Simplify 1 into 1
8.880 * [taylor]: Taking taylor expansion of re in re
8.880 * [backup-simplify]: Simplify 0 into 0
8.880 * [backup-simplify]: Simplify 1 into 1
8.880 * [taylor]: Taking taylor expansion of (* im im) in re
8.880 * [taylor]: Taking taylor expansion of im in re
8.880 * [backup-simplify]: Simplify im into im
8.880 * [taylor]: Taking taylor expansion of im in re
8.880 * [backup-simplify]: Simplify im into im
8.880 * [backup-simplify]: Simplify (* 0 0) into 0
8.880 * [backup-simplify]: Simplify (* im im) into (pow im 2)
8.880 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
8.880 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
8.881 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
8.881 * [backup-simplify]: Simplify (+ 0 0) into 0
8.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
8.881 * [backup-simplify]: Simplify (log im) into (log im)
8.881 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.881 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.881 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
8.881 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
8.882 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
8.882 * [taylor]: Taking taylor expansion of 1/3 in im
8.882 * [backup-simplify]: Simplify 1/3 into 1/3
8.882 * [taylor]: Taking taylor expansion of (log im) in im
8.882 * [taylor]: Taking taylor expansion of im in im
8.882 * [backup-simplify]: Simplify 0 into 0
8.882 * [backup-simplify]: Simplify 1 into 1
8.882 * [backup-simplify]: Simplify (log 1) into 0
8.882 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.882 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
8.882 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
8.882 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
8.883 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
8.883 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
8.884 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.884 * [taylor]: Taking taylor expansion of 0 in im
8.884 * [backup-simplify]: Simplify 0 into 0
8.884 * [backup-simplify]: Simplify 0 into 0
8.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.885 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.885 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
8.886 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.886 * [backup-simplify]: Simplify 0 into 0
8.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.887 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
8.887 * [backup-simplify]: Simplify (+ 1 0) into 1
8.887 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
8.888 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
8.889 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
8.889 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.889 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
8.889 * [taylor]: Taking taylor expansion of 1/6 in im
8.889 * [backup-simplify]: Simplify 1/6 into 1/6
8.889 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
8.889 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
8.889 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
8.889 * [taylor]: Taking taylor expansion of 1/3 in im
8.889 * [backup-simplify]: Simplify 1/3 into 1/3
8.890 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
8.890 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
8.890 * [taylor]: Taking taylor expansion of (pow im 5) in im
8.890 * [taylor]: Taking taylor expansion of im in im
8.890 * [backup-simplify]: Simplify 0 into 0
8.890 * [backup-simplify]: Simplify 1 into 1
8.890 * [backup-simplify]: Simplify (* 1 1) into 1
8.890 * [backup-simplify]: Simplify (* 1 1) into 1
8.890 * [backup-simplify]: Simplify (* 1 1) into 1
8.891 * [backup-simplify]: Simplify (/ 1 1) into 1
8.891 * [backup-simplify]: Simplify (log 1) into 0
8.891 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.891 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
8.891 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
8.891 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.891 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
8.892 * [backup-simplify]: Simplify 0 into 0
8.893 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
8.894 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.894 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
8.895 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.895 * [backup-simplify]: Simplify 0 into 0
8.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
8.896 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
8.897 * [backup-simplify]: Simplify (+ 0 0) into 0
8.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
8.898 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
8.899 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
8.902 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.902 * [taylor]: Taking taylor expansion of 0 in im
8.902 * [backup-simplify]: Simplify 0 into 0
8.902 * [backup-simplify]: Simplify 0 into 0
8.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.906 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.907 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
8.907 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
8.908 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
8.909 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
8.909 * [backup-simplify]: Simplify 0 into 0
8.909 * [backup-simplify]: Simplify 0 into 0
8.914 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.915 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
8.916 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
8.918 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.918 * [backup-simplify]: Simplify 0 into 0
8.919 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
8.919 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
8.919 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
8.919 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
8.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
8.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
8.919 * [taylor]: Taking taylor expansion of 1/3 in im
8.919 * [backup-simplify]: Simplify 1/3 into 1/3
8.919 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
8.920 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
8.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.920 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
8.920 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
8.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.920 * [taylor]: Taking taylor expansion of re in im
8.920 * [backup-simplify]: Simplify re into re
8.920 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.920 * [taylor]: Taking taylor expansion of re in im
8.920 * [backup-simplify]: Simplify re into re
8.920 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.920 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
8.920 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.920 * [taylor]: Taking taylor expansion of im in im
8.920 * [backup-simplify]: Simplify 0 into 0
8.920 * [backup-simplify]: Simplify 1 into 1
8.921 * [backup-simplify]: Simplify (/ 1 1) into 1
8.921 * [taylor]: Taking taylor expansion of (/ 1 im) in im
8.921 * [taylor]: Taking taylor expansion of im in im
8.921 * [backup-simplify]: Simplify 0 into 0
8.921 * [backup-simplify]: Simplify 1 into 1
8.921 * [backup-simplify]: Simplify (/ 1 1) into 1
8.922 * [backup-simplify]: Simplify (* 1 1) into 1
8.922 * [backup-simplify]: Simplify (+ 0 1) into 1
8.923 * [backup-simplify]: Simplify (sqrt 1) into 1
8.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.925 * [backup-simplify]: Simplify (+ 0 0) into 0
8.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.926 * [backup-simplify]: Simplify (log 1) into 0
8.927 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
8.927 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
8.927 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
8.927 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.927 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.927 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.927 * [taylor]: Taking taylor expansion of 1/3 in re
8.927 * [backup-simplify]: Simplify 1/3 into 1/3
8.927 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.927 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.927 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.927 * [taylor]: Taking taylor expansion of re in re
8.927 * [backup-simplify]: Simplify 0 into 0
8.927 * [backup-simplify]: Simplify 1 into 1
8.928 * [backup-simplify]: Simplify (/ 1 1) into 1
8.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.928 * [taylor]: Taking taylor expansion of re in re
8.928 * [backup-simplify]: Simplify 0 into 0
8.928 * [backup-simplify]: Simplify 1 into 1
8.928 * [backup-simplify]: Simplify (/ 1 1) into 1
8.928 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.928 * [taylor]: Taking taylor expansion of im in re
8.928 * [backup-simplify]: Simplify im into im
8.928 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.928 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.928 * [taylor]: Taking taylor expansion of im in re
8.928 * [backup-simplify]: Simplify im into im
8.928 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.929 * [backup-simplify]: Simplify (* 1 1) into 1
8.929 * [backup-simplify]: Simplify (+ 1 0) into 1
8.930 * [backup-simplify]: Simplify (sqrt 1) into 1
8.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.932 * [backup-simplify]: Simplify (+ 0 0) into 0
8.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.933 * [backup-simplify]: Simplify (log 1) into 0
8.933 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.933 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.934 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.934 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
8.934 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
8.934 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
8.934 * [taylor]: Taking taylor expansion of 1/3 in re
8.934 * [backup-simplify]: Simplify 1/3 into 1/3
8.934 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
8.934 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
8.934 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
8.934 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
8.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
8.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.934 * [taylor]: Taking taylor expansion of re in re
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 * [taylor]: Taking taylor expansion of (/ 1 re) in re
8.935 * [taylor]: Taking taylor expansion of re in re
8.935 * [backup-simplify]: Simplify 0 into 0
8.935 * [backup-simplify]: Simplify 1 into 1
8.935 * [backup-simplify]: Simplify (/ 1 1) into 1
8.935 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
8.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.935 * [taylor]: Taking taylor expansion of im in re
8.935 * [backup-simplify]: Simplify im into im
8.935 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.935 * [taylor]: Taking taylor expansion of (/ 1 im) in re
8.935 * [taylor]: Taking taylor expansion of im in re
8.935 * [backup-simplify]: Simplify im into im
8.935 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
8.936 * [backup-simplify]: Simplify (* 1 1) into 1
8.936 * [backup-simplify]: Simplify (+ 1 0) into 1
8.936 * [backup-simplify]: Simplify (sqrt 1) into 1
8.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.939 * [backup-simplify]: Simplify (+ 0 0) into 0
8.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.940 * [backup-simplify]: Simplify (log 1) into 0
8.940 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.940 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
8.940 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.940 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
8.941 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
8.941 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
8.941 * [taylor]: Taking taylor expansion of -1/3 in im
8.941 * [backup-simplify]: Simplify -1/3 into -1/3
8.941 * [taylor]: Taking taylor expansion of (log re) in im
8.941 * [taylor]: Taking taylor expansion of re in im
8.941 * [backup-simplify]: Simplify re into re
8.941 * [backup-simplify]: Simplify (log re) into (log re)
8.941 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
8.941 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
8.941 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
8.943 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.943 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.944 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
8.945 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.945 * [taylor]: Taking taylor expansion of 0 in im
8.945 * [backup-simplify]: Simplify 0 into 0
8.945 * [backup-simplify]: Simplify 0 into 0
8.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
8.946 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
8.947 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
8.947 * [backup-simplify]: Simplify 0 into 0
8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.950 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
8.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
8.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
8.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
8.954 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.955 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
8.956 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
8.956 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
8.956 * [taylor]: Taking taylor expansion of 1/6 in im
8.956 * [backup-simplify]: Simplify 1/6 into 1/6
8.956 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
8.956 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
8.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
8.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
8.956 * [taylor]: Taking taylor expansion of 1/3 in im
8.956 * [backup-simplify]: Simplify 1/3 into 1/3
8.956 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
8.956 * [taylor]: Taking taylor expansion of (/ 1 re) in im
8.957 * [taylor]: Taking taylor expansion of re in im
8.957 * [backup-simplify]: Simplify re into re
8.957 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
8.957 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
8.957 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
8.957 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
8.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
8.957 * [taylor]: Taking taylor expansion of (pow im 2) 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
8.958 * [backup-simplify]: Simplify (* 1 1) into 1
8.958 * [backup-simplify]: Simplify (/ 1 1) into 1
8.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
8.963 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
8.963 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
8.964 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
8.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
8.967 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
8.969 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.970 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
8.970 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
8.970 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
8.972 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
8.972 * [backup-simplify]: Simplify 0 into 0
8.972 * [backup-simplify]: Simplify 0 into 0
8.973 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
8.974 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
8.976 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.976 * [backup-simplify]: Simplify 0 into 0
8.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
8.980 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
8.980 * [backup-simplify]: Simplify (+ 0 0) into 0
8.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
8.984 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
8.985 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
8.986 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
8.991 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
8.991 * [taylor]: Taking taylor expansion of 0 in im
8.991 * [backup-simplify]: Simplify 0 into 0
8.991 * [backup-simplify]: Simplify 0 into 0
8.991 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
8.991 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
8.991 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
8.992 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
8.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
8.992 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
8.992 * [taylor]: Taking taylor expansion of 1/3 in im
8.992 * [backup-simplify]: Simplify 1/3 into 1/3
8.992 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
8.992 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
8.992 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
8.992 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
8.992 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
8.992 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.992 * [taylor]: Taking taylor expansion of -1 in im
8.992 * [backup-simplify]: Simplify -1 into -1
8.992 * [taylor]: Taking taylor expansion of re in im
8.992 * [backup-simplify]: Simplify re into re
8.992 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.992 * [taylor]: Taking taylor expansion of (/ -1 re) in im
8.992 * [taylor]: Taking taylor expansion of -1 in im
8.992 * [backup-simplify]: Simplify -1 into -1
8.992 * [taylor]: Taking taylor expansion of re in im
8.992 * [backup-simplify]: Simplify re into re
8.992 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
8.992 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
8.992 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.992 * [taylor]: Taking taylor expansion of -1 in im
8.993 * [backup-simplify]: Simplify -1 into -1
8.993 * [taylor]: Taking taylor expansion of im in im
8.993 * [backup-simplify]: Simplify 0 into 0
8.993 * [backup-simplify]: Simplify 1 into 1
8.993 * [backup-simplify]: Simplify (/ -1 1) into -1
8.993 * [taylor]: Taking taylor expansion of (/ -1 im) in im
8.993 * [taylor]: Taking taylor expansion of -1 in im
8.993 * [backup-simplify]: Simplify -1 into -1
8.993 * [taylor]: Taking taylor expansion of im in im
8.993 * [backup-simplify]: Simplify 0 into 0
8.993 * [backup-simplify]: Simplify 1 into 1
8.994 * [backup-simplify]: Simplify (/ -1 1) into -1
8.994 * [backup-simplify]: Simplify (* -1 -1) into 1
8.995 * [backup-simplify]: Simplify (+ 0 1) into 1
8.995 * [backup-simplify]: Simplify (sqrt 1) into 1
8.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.998 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.998 * [backup-simplify]: Simplify (+ 0 0) into 0
8.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.999 * [backup-simplify]: Simplify (log 1) into 0
9.000 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
9.000 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
9.000 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
9.000 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
9.000 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
9.000 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
9.000 * [taylor]: Taking taylor expansion of 1/3 in re
9.000 * [backup-simplify]: Simplify 1/3 into 1/3
9.000 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
9.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.001 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.001 * [taylor]: Taking taylor expansion of -1 in re
9.001 * [backup-simplify]: Simplify -1 into -1
9.001 * [taylor]: Taking taylor expansion of re in re
9.001 * [backup-simplify]: Simplify 0 into 0
9.001 * [backup-simplify]: Simplify 1 into 1
9.001 * [backup-simplify]: Simplify (/ -1 1) into -1
9.001 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.001 * [taylor]: Taking taylor expansion of -1 in re
9.001 * [backup-simplify]: Simplify -1 into -1
9.001 * [taylor]: Taking taylor expansion of re in re
9.001 * [backup-simplify]: Simplify 0 into 0
9.001 * [backup-simplify]: Simplify 1 into 1
9.002 * [backup-simplify]: Simplify (/ -1 1) into -1
9.002 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.002 * [taylor]: Taking taylor expansion of -1 in re
9.002 * [backup-simplify]: Simplify -1 into -1
9.002 * [taylor]: Taking taylor expansion of im in re
9.002 * [backup-simplify]: Simplify im into im
9.002 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.002 * [taylor]: Taking taylor expansion of -1 in re
9.002 * [backup-simplify]: Simplify -1 into -1
9.002 * [taylor]: Taking taylor expansion of im in re
9.002 * [backup-simplify]: Simplify im into im
9.002 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.003 * [backup-simplify]: Simplify (* -1 -1) into 1
9.004 * [backup-simplify]: Simplify (+ 1 0) into 1
9.004 * [backup-simplify]: Simplify (sqrt 1) into 1
9.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.006 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.007 * [backup-simplify]: Simplify (+ 0 0) into 0
9.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.008 * [backup-simplify]: Simplify (log 1) into 0
9.009 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.009 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
9.009 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.009 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
9.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
9.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
9.009 * [taylor]: Taking taylor expansion of 1/3 in re
9.009 * [backup-simplify]: Simplify 1/3 into 1/3
9.009 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
9.009 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.009 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.009 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.009 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.009 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.009 * [taylor]: Taking taylor expansion of -1 in re
9.009 * [backup-simplify]: Simplify -1 into -1
9.009 * [taylor]: Taking taylor expansion of re in re
9.009 * [backup-simplify]: Simplify 0 into 0
9.009 * [backup-simplify]: Simplify 1 into 1
9.010 * [backup-simplify]: Simplify (/ -1 1) into -1
9.010 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.010 * [taylor]: Taking taylor expansion of -1 in re
9.010 * [backup-simplify]: Simplify -1 into -1
9.010 * [taylor]: Taking taylor expansion of re in re
9.010 * [backup-simplify]: Simplify 0 into 0
9.010 * [backup-simplify]: Simplify 1 into 1
9.011 * [backup-simplify]: Simplify (/ -1 1) into -1
9.011 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.011 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.011 * [taylor]: Taking taylor expansion of -1 in re
9.011 * [backup-simplify]: Simplify -1 into -1
9.011 * [taylor]: Taking taylor expansion of im in re
9.011 * [backup-simplify]: Simplify im into im
9.011 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.011 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.011 * [taylor]: Taking taylor expansion of -1 in re
9.011 * [backup-simplify]: Simplify -1 into -1
9.011 * [taylor]: Taking taylor expansion of im in re
9.011 * [backup-simplify]: Simplify im into im
9.011 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.011 * [backup-simplify]: Simplify (* -1 -1) into 1
9.012 * [backup-simplify]: Simplify (+ 1 0) into 1
9.012 * [backup-simplify]: Simplify (sqrt 1) into 1
9.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.014 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.015 * [backup-simplify]: Simplify (+ 0 0) into 0
9.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.016 * [backup-simplify]: Simplify (log 1) into 0
9.016 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.016 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
9.016 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.017 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
9.017 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
9.017 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
9.017 * [taylor]: Taking taylor expansion of -1/3 in im
9.017 * [backup-simplify]: Simplify -1/3 into -1/3
9.017 * [taylor]: Taking taylor expansion of (log re) in im
9.017 * [taylor]: Taking taylor expansion of re in im
9.017 * [backup-simplify]: Simplify re into re
9.017 * [backup-simplify]: Simplify (log re) into (log re)
9.017 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
9.017 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.017 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
9.018 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.019 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.019 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
9.020 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.020 * [taylor]: Taking taylor expansion of 0 in im
9.020 * [backup-simplify]: Simplify 0 into 0
9.020 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
9.022 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
9.022 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.023 * [backup-simplify]: Simplify 0 into 0
9.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.025 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
9.029 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.030 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
9.031 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
9.031 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
9.031 * [taylor]: Taking taylor expansion of 1/6 in im
9.031 * [backup-simplify]: Simplify 1/6 into 1/6
9.031 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
9.031 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
9.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
9.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
9.031 * [taylor]: Taking taylor expansion of 1/3 in im
9.031 * [backup-simplify]: Simplify 1/3 into 1/3
9.031 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
9.031 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.031 * [taylor]: Taking taylor expansion of re in im
9.031 * [backup-simplify]: Simplify re into re
9.031 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.031 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
9.032 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
9.032 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
9.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.032 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.032 * [taylor]: Taking taylor expansion of im in im
9.032 * [backup-simplify]: Simplify 0 into 0
9.032 * [backup-simplify]: Simplify 1 into 1
9.032 * [backup-simplify]: Simplify (* 1 1) into 1
9.033 * [backup-simplify]: Simplify (/ 1 1) into 1
9.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.037 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
9.037 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
9.038 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
9.040 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
9.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
9.042 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.043 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
9.044 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
9.044 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
9.045 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.045 * [backup-simplify]: Simplify 0 into 0
9.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
9.047 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
9.049 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.049 * [backup-simplify]: Simplify 0 into 0
9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.052 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.052 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.052 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
9.053 * [backup-simplify]: Simplify (+ 0 0) into 0
9.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.057 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
9.057 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.058 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
9.060 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.061 * [taylor]: Taking taylor expansion of 0 in im
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify 0 into 0
9.061 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
9.061 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 2)
9.061 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3)
9.061 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0
9.061 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im
9.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im
9.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im
9.061 * [taylor]: Taking taylor expansion of 1/3 in im
9.061 * [backup-simplify]: Simplify 1/3 into 1/3
9.061 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
9.061 * [taylor]: Taking taylor expansion of (hypot re im) in im
9.061 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.061 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
9.061 * [taylor]: Taking taylor expansion of (* re re) in im
9.061 * [taylor]: Taking taylor expansion of re in im
9.061 * [backup-simplify]: Simplify re into re
9.061 * [taylor]: Taking taylor expansion of re in im
9.062 * [backup-simplify]: Simplify re into re
9.062 * [taylor]: Taking taylor expansion of (* im im) in im
9.062 * [taylor]: Taking taylor expansion of im in im
9.062 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify 1 into 1
9.062 * [taylor]: Taking taylor expansion of im in im
9.062 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify 1 into 1
9.062 * [backup-simplify]: Simplify (* re re) into (pow re 2)
9.062 * [backup-simplify]: Simplify (* 0 0) into 0
9.062 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
9.062 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
9.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
9.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.064 * [backup-simplify]: Simplify (+ 0 0) into 0
9.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
9.064 * [backup-simplify]: Simplify (log re) into (log re)
9.064 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re))
9.064 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3)
9.064 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
9.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
9.065 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
9.065 * [taylor]: Taking taylor expansion of 1/3 in re
9.065 * [backup-simplify]: Simplify 1/3 into 1/3
9.065 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
9.065 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.065 * [taylor]: Taking taylor expansion of (* re re) in re
9.065 * [taylor]: Taking taylor expansion of re in re
9.065 * [backup-simplify]: Simplify 0 into 0
9.065 * [backup-simplify]: Simplify 1 into 1
9.065 * [taylor]: Taking taylor expansion of re in re
9.065 * [backup-simplify]: Simplify 0 into 0
9.065 * [backup-simplify]: Simplify 1 into 1
9.065 * [taylor]: Taking taylor expansion of (* im im) in re
9.065 * [taylor]: Taking taylor expansion of im in re
9.065 * [backup-simplify]: Simplify im into im
9.065 * [taylor]: Taking taylor expansion of im in re
9.065 * [backup-simplify]: Simplify im into im
9.066 * [backup-simplify]: Simplify (* 0 0) into 0
9.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.066 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.067 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.067 * [backup-simplify]: Simplify (+ 0 0) into 0
9.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.068 * [backup-simplify]: Simplify (log im) into (log im)
9.068 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
9.068 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
9.068 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re
9.068 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re
9.068 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re
9.068 * [taylor]: Taking taylor expansion of 1/3 in re
9.068 * [backup-simplify]: Simplify 1/3 into 1/3
9.068 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
9.068 * [taylor]: Taking taylor expansion of (hypot re im) in re
9.068 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
9.068 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
9.068 * [taylor]: Taking taylor expansion of (* re re) in re
9.068 * [taylor]: Taking taylor expansion of re in re
9.068 * [backup-simplify]: Simplify 0 into 0
9.068 * [backup-simplify]: Simplify 1 into 1
9.068 * [taylor]: Taking taylor expansion of re in re
9.068 * [backup-simplify]: Simplify 0 into 0
9.068 * [backup-simplify]: Simplify 1 into 1
9.068 * [taylor]: Taking taylor expansion of (* im im) in re
9.068 * [taylor]: Taking taylor expansion of im in re
9.068 * [backup-simplify]: Simplify im into im
9.068 * [taylor]: Taking taylor expansion of im in re
9.068 * [backup-simplify]: Simplify im into im
9.069 * [backup-simplify]: Simplify (* 0 0) into 0
9.069 * [backup-simplify]: Simplify (* im im) into (pow im 2)
9.069 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
9.069 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
9.070 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.070 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
9.071 * [backup-simplify]: Simplify (+ 0 0) into 0
9.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
9.071 * [backup-simplify]: Simplify (log im) into (log im)
9.071 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
9.071 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
9.071 * [taylor]: Taking taylor expansion of (pow im 1/3) in im
9.071 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im
9.071 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im
9.071 * [taylor]: Taking taylor expansion of 1/3 in im
9.071 * [backup-simplify]: Simplify 1/3 into 1/3
9.071 * [taylor]: Taking taylor expansion of (log im) in im
9.071 * [taylor]: Taking taylor expansion of im in im
9.071 * [backup-simplify]: Simplify 0 into 0
9.071 * [backup-simplify]: Simplify 1 into 1
9.072 * [backup-simplify]: Simplify (log 1) into 0
9.072 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
9.072 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im))
9.072 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3)
9.072 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3)
9.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
9.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
9.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.075 * [taylor]: Taking taylor expansion of 0 in im
9.075 * [backup-simplify]: Simplify 0 into 0
9.075 * [backup-simplify]: Simplify 0 into 0
9.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.077 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
9.077 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0
9.078 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.078 * [backup-simplify]: Simplify 0 into 0
9.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.079 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
9.080 * [backup-simplify]: Simplify (+ 1 0) into 1
9.081 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
9.082 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2))
9.083 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2)))
9.084 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
9.084 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im
9.084 * [taylor]: Taking taylor expansion of 1/6 in im
9.084 * [backup-simplify]: Simplify 1/6 into 1/6
9.084 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im
9.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im
9.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im
9.084 * [taylor]: Taking taylor expansion of 1/3 in im
9.084 * [backup-simplify]: Simplify 1/3 into 1/3
9.084 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im
9.084 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im
9.084 * [taylor]: Taking taylor expansion of (pow im 5) in im
9.084 * [taylor]: Taking taylor expansion of im in im
9.084 * [backup-simplify]: Simplify 0 into 0
9.084 * [backup-simplify]: Simplify 1 into 1
9.085 * [backup-simplify]: Simplify (* 1 1) into 1
9.085 * [backup-simplify]: Simplify (* 1 1) into 1
9.085 * [backup-simplify]: Simplify (* 1 1) into 1
9.086 * [backup-simplify]: Simplify (/ 1 1) into 1
9.086 * [backup-simplify]: Simplify (log 1) into 0
9.087 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
9.087 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im))
9.087 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3)
9.087 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
9.087 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3))
9.087 * [backup-simplify]: Simplify 0 into 0
9.090 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
9.091 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
9.092 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0
9.093 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.093 * [backup-simplify]: Simplify 0 into 0
9.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
9.095 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
9.096 * [backup-simplify]: Simplify (+ 0 0) into 0
9.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
9.098 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0
9.099 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0
9.102 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.102 * [taylor]: Taking taylor expansion of 0 in im
9.102 * [backup-simplify]: Simplify 0 into 0
9.102 * [backup-simplify]: Simplify 0 into 0
9.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.107 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im)))
9.107 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0
9.108 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0
9.109 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0
9.109 * [backup-simplify]: Simplify 0 into 0
9.109 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
9.115 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
9.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0
9.118 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
9.119 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3)
9.119 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0
9.119 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im
9.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im
9.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im
9.120 * [taylor]: Taking taylor expansion of 1/3 in im
9.120 * [backup-simplify]: Simplify 1/3 into 1/3
9.120 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
9.120 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
9.120 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.120 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
9.120 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
9.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.120 * [taylor]: Taking taylor expansion of re in im
9.120 * [backup-simplify]: Simplify re into re
9.120 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.120 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.120 * [taylor]: Taking taylor expansion of re in im
9.120 * [backup-simplify]: Simplify re into re
9.120 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.120 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
9.120 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.120 * [taylor]: Taking taylor expansion of im in im
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify (/ 1 1) into 1
9.121 * [taylor]: Taking taylor expansion of (/ 1 im) in im
9.121 * [taylor]: Taking taylor expansion of im in im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [backup-simplify]: Simplify (/ 1 1) into 1
9.121 * [backup-simplify]: Simplify (* 1 1) into 1
9.122 * [backup-simplify]: Simplify (+ 0 1) into 1
9.122 * [backup-simplify]: Simplify (sqrt 1) into 1
9.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.125 * [backup-simplify]: Simplify (+ 0 0) into 0
9.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.126 * [backup-simplify]: Simplify (log 1) into 0
9.127 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
9.127 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
9.127 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
9.127 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
9.127 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
9.127 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
9.127 * [taylor]: Taking taylor expansion of 1/3 in re
9.127 * [backup-simplify]: Simplify 1/3 into 1/3
9.127 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
9.127 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.127 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.127 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.127 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.127 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.127 * [taylor]: Taking taylor expansion of re in re
9.127 * [backup-simplify]: Simplify 0 into 0
9.127 * [backup-simplify]: Simplify 1 into 1
9.128 * [backup-simplify]: Simplify (/ 1 1) into 1
9.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.128 * [taylor]: Taking taylor expansion of re in re
9.128 * [backup-simplify]: Simplify 0 into 0
9.128 * [backup-simplify]: Simplify 1 into 1
9.128 * [backup-simplify]: Simplify (/ 1 1) into 1
9.128 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.128 * [taylor]: Taking taylor expansion of im in re
9.128 * [backup-simplify]: Simplify im into im
9.128 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.128 * [taylor]: Taking taylor expansion of im in re
9.129 * [backup-simplify]: Simplify im into im
9.129 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.129 * [backup-simplify]: Simplify (* 1 1) into 1
9.129 * [backup-simplify]: Simplify (+ 1 0) into 1
9.130 * [backup-simplify]: Simplify (sqrt 1) into 1
9.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.132 * [backup-simplify]: Simplify (+ 0 0) into 0
9.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.133 * [backup-simplify]: Simplify (log 1) into 0
9.134 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.134 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
9.134 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.134 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re
9.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re
9.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re
9.134 * [taylor]: Taking taylor expansion of 1/3 in re
9.134 * [backup-simplify]: Simplify 1/3 into 1/3
9.134 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
9.134 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
9.134 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
9.134 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
9.134 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
9.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.135 * [taylor]: Taking taylor expansion of re in re
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 1 into 1
9.135 * [backup-simplify]: Simplify (/ 1 1) into 1
9.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re
9.135 * [taylor]: Taking taylor expansion of re in re
9.135 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify 1 into 1
9.135 * [backup-simplify]: Simplify (/ 1 1) into 1
9.135 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
9.136 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.136 * [taylor]: Taking taylor expansion of im in re
9.136 * [backup-simplify]: Simplify im into im
9.136 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.136 * [taylor]: Taking taylor expansion of (/ 1 im) in re
9.136 * [taylor]: Taking taylor expansion of im in re
9.136 * [backup-simplify]: Simplify im into im
9.136 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
9.136 * [backup-simplify]: Simplify (* 1 1) into 1
9.137 * [backup-simplify]: Simplify (+ 1 0) into 1
9.137 * [backup-simplify]: Simplify (sqrt 1) into 1
9.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.140 * [backup-simplify]: Simplify (+ 0 0) into 0
9.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.141 * [backup-simplify]: Simplify (log 1) into 0
9.142 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.142 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
9.142 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.142 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
9.142 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
9.142 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
9.142 * [taylor]: Taking taylor expansion of -1/3 in im
9.142 * [backup-simplify]: Simplify -1/3 into -1/3
9.142 * [taylor]: Taking taylor expansion of (log re) in im
9.142 * [taylor]: Taking taylor expansion of re in im
9.142 * [backup-simplify]: Simplify re into re
9.142 * [backup-simplify]: Simplify (log re) into (log re)
9.142 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
9.142 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.143 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
9.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.145 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.146 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
9.146 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.146 * [taylor]: Taking taylor expansion of 0 in im
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify 0 into 0
9.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
9.147 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
9.148 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.148 * [backup-simplify]: Simplify 0 into 0
9.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.150 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
9.150 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.151 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.152 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
9.152 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.153 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
9.153 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
9.153 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
9.153 * [taylor]: Taking taylor expansion of 1/6 in im
9.153 * [backup-simplify]: Simplify 1/6 into 1/6
9.153 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
9.153 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
9.153 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
9.153 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
9.153 * [taylor]: Taking taylor expansion of 1/3 in im
9.153 * [backup-simplify]: Simplify 1/3 into 1/3
9.153 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
9.153 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.153 * [taylor]: Taking taylor expansion of re in im
9.153 * [backup-simplify]: Simplify re into re
9.153 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.154 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
9.154 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
9.154 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
9.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.154 * [taylor]: Taking taylor expansion of im in im
9.154 * [backup-simplify]: Simplify 0 into 0
9.154 * [backup-simplify]: Simplify 1 into 1
9.154 * [backup-simplify]: Simplify (* 1 1) into 1
9.154 * [backup-simplify]: Simplify (/ 1 1) into 1
9.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
9.157 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
9.158 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
9.159 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
9.159 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
9.160 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.161 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
9.161 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
9.161 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
9.162 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
9.162 * [backup-simplify]: Simplify 0 into 0
9.162 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
9.164 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
9.164 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.164 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
9.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
9.166 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
9.167 * [backup-simplify]: Simplify (+ 0 0) into 0
9.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.169 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
9.170 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.170 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
9.172 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
9.172 * [taylor]: Taking taylor expansion of 0 in im
9.172 * [backup-simplify]: Simplify 0 into 0
9.172 * [backup-simplify]: Simplify 0 into 0
9.172 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3)
9.172 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3)
9.172 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0
9.172 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im
9.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im
9.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im
9.172 * [taylor]: Taking taylor expansion of 1/3 in im
9.172 * [backup-simplify]: Simplify 1/3 into 1/3
9.172 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
9.172 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
9.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.172 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
9.172 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
9.172 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.172 * [taylor]: Taking taylor expansion of -1 in im
9.172 * [backup-simplify]: Simplify -1 into -1
9.172 * [taylor]: Taking taylor expansion of re in im
9.172 * [backup-simplify]: Simplify re into re
9.172 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.172 * [taylor]: Taking taylor expansion of (/ -1 re) in im
9.172 * [taylor]: Taking taylor expansion of -1 in im
9.172 * [backup-simplify]: Simplify -1 into -1
9.172 * [taylor]: Taking taylor expansion of re in im
9.173 * [backup-simplify]: Simplify re into re
9.173 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
9.173 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
9.173 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.173 * [taylor]: Taking taylor expansion of -1 in im
9.173 * [backup-simplify]: Simplify -1 into -1
9.173 * [taylor]: Taking taylor expansion of im in im
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 1 into 1
9.173 * [backup-simplify]: Simplify (/ -1 1) into -1
9.173 * [taylor]: Taking taylor expansion of (/ -1 im) in im
9.173 * [taylor]: Taking taylor expansion of -1 in im
9.173 * [backup-simplify]: Simplify -1 into -1
9.173 * [taylor]: Taking taylor expansion of im in im
9.173 * [backup-simplify]: Simplify 0 into 0
9.173 * [backup-simplify]: Simplify 1 into 1
9.173 * [backup-simplify]: Simplify (/ -1 1) into -1
9.174 * [backup-simplify]: Simplify (* -1 -1) into 1
9.174 * [backup-simplify]: Simplify (+ 0 1) into 1
9.174 * [backup-simplify]: Simplify (sqrt 1) into 1
9.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.176 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.176 * [backup-simplify]: Simplify (+ 0 0) into 0
9.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.177 * [backup-simplify]: Simplify (log 1) into 0
9.177 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im))
9.177 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im))
9.177 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3)
9.177 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
9.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
9.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
9.177 * [taylor]: Taking taylor expansion of 1/3 in re
9.177 * [backup-simplify]: Simplify 1/3 into 1/3
9.177 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
9.177 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.177 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.177 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.177 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.177 * [taylor]: Taking taylor expansion of -1 in re
9.177 * [backup-simplify]: Simplify -1 into -1
9.177 * [taylor]: Taking taylor expansion of re in re
9.177 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify 1 into 1
9.178 * [backup-simplify]: Simplify (/ -1 1) into -1
9.178 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.178 * [taylor]: Taking taylor expansion of -1 in re
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of re in re
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
9.178 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.178 * [taylor]: Taking taylor expansion of -1 in re
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of im in re
9.178 * [backup-simplify]: Simplify im into im
9.178 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.178 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.178 * [taylor]: Taking taylor expansion of -1 in re
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of im in re
9.178 * [backup-simplify]: Simplify im into im
9.178 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.179 * [backup-simplify]: Simplify (* -1 -1) into 1
9.179 * [backup-simplify]: Simplify (+ 1 0) 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
9.180 * [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 (log 1) into 0
9.182 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.182 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
9.182 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.182 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re
9.182 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re
9.182 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re
9.182 * [taylor]: Taking taylor expansion of 1/3 in re
9.182 * [backup-simplify]: Simplify 1/3 into 1/3
9.182 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
9.182 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
9.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
9.182 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
9.182 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
9.182 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.182 * [taylor]: Taking taylor expansion of -1 in re
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of re in re
9.182 * [backup-simplify]: Simplify 0 into 0
9.182 * [backup-simplify]: Simplify 1 into 1
9.182 * [backup-simplify]: Simplify (/ -1 1) into -1
9.182 * [taylor]: Taking taylor expansion of (/ -1 re) in re
9.182 * [taylor]: Taking taylor expansion of -1 in re
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of re in re
9.182 * [backup-simplify]: Simplify 0 into 0
9.182 * [backup-simplify]: Simplify 1 into 1
9.183 * [backup-simplify]: Simplify (/ -1 1) into -1
9.183 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
9.183 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.183 * [taylor]: Taking taylor expansion of -1 in re
9.183 * [backup-simplify]: Simplify -1 into -1
9.183 * [taylor]: Taking taylor expansion of im in re
9.183 * [backup-simplify]: Simplify im into im
9.183 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.183 * [taylor]: Taking taylor expansion of (/ -1 im) in re
9.183 * [taylor]: Taking taylor expansion of -1 in re
9.183 * [backup-simplify]: Simplify -1 into -1
9.183 * [taylor]: Taking taylor expansion of im in re
9.183 * [backup-simplify]: Simplify im into im
9.183 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
9.183 * [backup-simplify]: Simplify (* -1 -1) into 1
9.184 * [backup-simplify]: Simplify (+ 1 0) into 1
9.184 * [backup-simplify]: Simplify (sqrt 1) into 1
9.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.185 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.185 * [backup-simplify]: Simplify (+ 0 0) into 0
9.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.186 * [backup-simplify]: Simplify (log 1) into 0
9.186 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.186 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re))
9.186 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.187 * [taylor]: Taking taylor expansion of (pow re -1/3) in im
9.187 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im
9.187 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im
9.187 * [taylor]: Taking taylor expansion of -1/3 in im
9.187 * [backup-simplify]: Simplify -1/3 into -1/3
9.187 * [taylor]: Taking taylor expansion of (log re) in im
9.187 * [taylor]: Taking taylor expansion of re in im
9.187 * [backup-simplify]: Simplify re into re
9.187 * [backup-simplify]: Simplify (log re) into (log re)
9.187 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re))
9.187 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3)
9.187 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3)
9.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
9.189 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.190 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0
9.190 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.190 * [taylor]: Taking taylor expansion of 0 in im
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
9.192 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0
9.193 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0
9.193 * [backup-simplify]: Simplify 0 into 0
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
9.196 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.196 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
9.197 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
9.198 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
9.200 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2))
9.201 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.201 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2)))
9.202 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))))
9.202 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im
9.202 * [taylor]: Taking taylor expansion of 1/6 in im
9.202 * [backup-simplify]: Simplify 1/6 into 1/6
9.202 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im
9.203 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im
9.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im
9.203 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im
9.203 * [taylor]: Taking taylor expansion of 1/3 in im
9.203 * [backup-simplify]: Simplify 1/3 into 1/3
9.203 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im
9.203 * [taylor]: Taking taylor expansion of (/ 1 re) in im
9.203 * [taylor]: Taking taylor expansion of re in im
9.203 * [backup-simplify]: Simplify re into re
9.203 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
9.203 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re))
9.203 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re)))
9.203 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3)
9.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
9.203 * [taylor]: Taking taylor expansion of (pow im 2) in im
9.203 * [taylor]: Taking taylor expansion of im in im
9.203 * [backup-simplify]: Simplify 0 into 0
9.203 * [backup-simplify]: Simplify 1 into 1
9.204 * [backup-simplify]: Simplify (* 1 1) into 1
9.205 * [backup-simplify]: Simplify (/ 1 1) into 1
9.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0
9.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0
9.210 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0
9.211 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0
9.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0
9.213 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0
9.214 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0
9.215 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.216 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
9.217 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0
9.217 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3)
9.218 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0
9.218 * [backup-simplify]: Simplify 0 into 0
9.218 * [backup-simplify]: Simplify 0 into 0
9.219 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
9.220 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0
9.221 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
9.221 * [backup-simplify]: Simplify 0 into 0
9.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.223 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.223 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
9.223 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
9.223 * [backup-simplify]: Simplify (+ 0 0) into 0
9.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
9.226 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
9.226 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
9.227 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0
9.228 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) 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
9.228 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3)
9.228 * * * [progress]: simplifying candidates
9.230 * [simplify]: Simplifying:
  (expm1 (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (log1p (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (* (exp (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (exp re))
  (log (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (exp (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (* (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)))
  (cbrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (* (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)) (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (sqrt (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re))
  (+ (pow (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) 3) (pow re 3))
  (+ (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (- (* re re) (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)))
  (- (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* re re))
  (- (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re)
  (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (+ 1/3 1/3)
  (+ 1 1)
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (+ 1 1)
  (+ (log (cbrt (hypot re im))) (log (cbrt (hypot re im))))
  (log (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (exp (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt 1) (cbrt 1))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* 1 1)
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* 2 1/3)
  (* 2 1)
  (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt 1))
  (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))))
  (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im))))
  (* (cbrt (hypot re im)) 1)
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt 1)
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt 1)
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (+ re im)
  (* 2 re)
  0
  (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3))))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
  (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
9.231 * * [simplify]: iteration 0: 105 enodes
9.263 * * [simplify]: iteration 1: 252 enodes
9.406 * * [simplify]: iteration 2: 1081 enodes
10.187 * * [simplify]: iteration complete: 5001 enodes
10.187 * * [simplify]: Extracting #0: cost 50 inf + 0
10.189 * * [simplify]: Extracting #1: cost 591 inf + 4
10.194 * * [simplify]: Extracting #2: cost 1535 inf + 266
10.200 * * [simplify]: Extracting #3: cost 1442 inf + 1736
10.207 * * [simplify]: Extracting #4: cost 676 inf + 10097
10.213 * * [simplify]: Extracting #5: cost 170 inf + 16785
10.231 * * [simplify]: Extracting #6: cost 44 inf + 18410
10.241 * * [simplify]: Extracting #7: cost 5 inf + 18687
10.247 * * [simplify]: Extracting #8: cost 0 inf + 18621
10.253 * * [simplify]: Extracting #9: cost 0 inf + 18615
10.260 * [simplify]: Simplified to:
  (expm1 (+ (hypot re im) re))
  (log1p (+ (hypot re im) re))
  (exp (+ re (hypot re im)))
  (log (+ (hypot re im) re))
  (exp (+ re (hypot re im)))
  (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))
  (cbrt (+ (hypot re im) re))
  (pow (+ (hypot re im) re) 3)
  (sqrt (+ (hypot re im) re))
  (sqrt (+ (hypot re im) re))
  (+ (pow (hypot re im) 3) (pow re 3))
  (fma re re (- (* (hypot re im) (- re (hypot re im)))))
  (fma (hypot re im) (hypot re im) (- (pow re 2)))
  (- (hypot re im) re)
  (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  2/3
  2
  (* (hypot re im) (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  2
  (* (log (cbrt (hypot re im))) 2)
  (* (log (cbrt (hypot re im))) 2)
  (pow (exp (cbrt (hypot re im))) (cbrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (fabs (cbrt (hypot re im)))
  (fabs (cbrt (hypot re im)))
  (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  1
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (pow (cbrt (cbrt (hypot re im))) (+ 3 1))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  1
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (cbrt (hypot re im))
  (cbrt (hypot re im))
  2/3
  2
  (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (cbrt (hypot re im))
  (* (pow (cbrt (cbrt (hypot re im))) (+ 3 1)) (cbrt (cbrt (hypot re im))))
  (pow (sqrt (cbrt (hypot re im))) 3)
  (cbrt (hypot re im))
  (pow (cbrt (cbrt (hypot re im))) (+ 3 1))
  (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (pow (cbrt (cbrt (hypot re im))) (+ 3 1))
  (pow (sqrt (cbrt (hypot re im))) 3)
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (expm1 (cbrt (hypot re im)))
  (log1p (cbrt (hypot re im)))
  (log (cbrt (hypot re im)))
  (exp (cbrt (hypot re im)))
  (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  (cbrt (sqrt (hypot re im)))
  1
  (cbrt (hypot re im))
  (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))
  (cbrt (cbrt (hypot re im)))
  (hypot re im)
  (sqrt (cbrt (hypot re im)))
  (sqrt (cbrt (hypot re im)))
  (+ im re)
  (* 2 re)
  0
  (fma (pow re 2) (* (cbrt (/ 1 (pow im 4))) 1/3) (pow im 2/3))
  (pow (/ 1 re) -2/3)
  (pow (/ -1 re) -2/3)
  (fma 1/6 (* (pow re 2) (cbrt (/ 1 (pow im 5)))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
  (fma 1/6 (* (pow re 2) (cbrt (/ 1 (pow im 5)))) (cbrt im))
  (pow (/ 1 re) -1/3)
  (pow (/ -1 re) -1/3)
10.261 * * * [progress]: adding candidates to table
10.741 * [progress]: [Phase 3 of 3] Extracting.
10.741 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (cbrt (* (hypot re im) (hypot re im))) (cbrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (fma re (- re) (* (hypot re im) (hypot re im))))) (sqrt (- (hypot re im) re)))))>)
10.744 * * * [regime-changes]: Trying 2 branch expressions: (im re)
10.744 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (cbrt (* (hypot re im) (hypot re im))) (cbrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (fma re (- re) (* (hypot re im) (hypot re im))))) (sqrt (- (hypot re im) re)))))>)
10.825 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (cbrt (* (hypot re im) (hypot re im))) (cbrt (hypot re im))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im)))) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))))> #<alt (λ (re im) (* 0.5 (sqrt (* (/ (fma (hypot re im) (hypot re im) (- (pow re 2))) (- (hypot re im) re)) 2.0))))> #<alt (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (fma re (- re) (* (hypot re im) (hypot re im))))) (sqrt (- (hypot re im) re)))))>)
10.928 * * * [regime]: Found split indices: #<option (#s(si 7 255))>
10.928 * [simplify]: Simplifying:
  (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))
10.928 * * [simplify]: iteration 0: 9 enodes
10.929 * * [simplify]: iteration 1: 12 enodes
10.929 * * [simplify]: iteration complete: 12 enodes
10.929 * * [simplify]: Extracting #0: cost 1 inf + 0
10.929 * * [simplify]: Extracting #1: cost 3 inf + 0
10.929 * * [simplify]: Extracting #2: cost 3 inf + 1
10.929 * * [simplify]: Extracting #3: cost 5 inf + 1
10.929 * * [simplify]: Extracting #4: cost 6 inf + 2
10.929 * * [simplify]: Extracting #5: cost 6 inf + 3
10.929 * * [simplify]: Extracting #6: cost 0 inf + 37
10.929 * [simplify]: Simplified to:
  (* (sqrt (* (+ re (hypot re im)) 2.0)) 0.5)
14.820 * [regime-testing]: Baseline error score: 12.902106487214024
14.824 * [regime-testing]: Oracle error score: 12.663192884675295
14.834 * [regime-testing]: End program error score: 12.902106487214024
14.975 * [regime-testing]: Target error score: 32.66243764735636