10.524 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.015 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying:
  (log (sqrt (+ (* re re) (* im im))))
0.017 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
0.019 * * [simplify]: iteration  0 :  10  enodes  (cost  5 )
0.020 * * [simplify]: iteration  1 :  12  enodes  (cost  5 )
0.021 * * [simplify]: iteration  2 :  12  enodes  (cost  5 )
0.022 * * [progress]: iteration 1 / 4
0.022 * * * [progress]: picking best candidate
0.024 * * * * [pick]: Picked  #<alt (λ (re im) (log (sqrt (+ (* re re) (* im im)))))>
0.024 * * * [progress]: localizing error
0.031 * * * [progress]: generating rewritten candidates
0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1)
0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.047 * * * [progress]: generating series expansions
0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2 1)
0.047 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.047 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.047 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.047 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.047 * [taylor]: Taking taylor expansion of re in im
0.047 * [backup-simplify]: Simplify re into re
0.047 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.047 * [taylor]: Taking taylor expansion of im in im
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.047 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.047 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.047 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.048 * [backup-simplify]: Simplify (+ 0 0) into 0
0.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.048 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.048 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.048 * [taylor]: Taking taylor expansion of re in re
0.048 * [backup-simplify]: Simplify 0 into 0
0.048 * [backup-simplify]: Simplify 1 into 1
0.048 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.048 * [taylor]: Taking taylor expansion of im in re
0.048 * [backup-simplify]: Simplify im into im
0.048 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.048 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.048 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.048 * [backup-simplify]: Simplify (+ 0 0) into 0
0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.049 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.049 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.049 * [taylor]: Taking taylor expansion of re in re
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.049 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.049 * [taylor]: Taking taylor expansion of im in re
0.049 * [backup-simplify]: Simplify im into im
0.049 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.049 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.049 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.049 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.049 * [backup-simplify]: Simplify (+ 0 0) into 0
0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.049 * [taylor]: Taking taylor expansion of im in im
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [taylor]: Taking taylor expansion of 0 in im
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.050 * [backup-simplify]: Simplify (* 1 1) into 1
0.050 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.050 * [backup-simplify]: Simplify (+ 1 0) into 1
0.051 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.051 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.051 * [taylor]: Taking taylor expansion of 1/2 in im
0.051 * [backup-simplify]: Simplify 1/2 into 1/2
0.051 * [taylor]: Taking taylor expansion of im in im
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 1 into 1
0.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.052 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.053 * [taylor]: Taking taylor expansion of 0 in im
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.054 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.054 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.054 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.054 * [taylor]: Taking taylor expansion of im in im
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 1 into 1
0.054 * [backup-simplify]: Simplify (* 1 1) into 1
0.054 * [backup-simplify]: Simplify (/ 1 1) into 1
0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.054 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.054 * [taylor]: Taking taylor expansion of re in im
0.054 * [backup-simplify]: Simplify re into re
0.054 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.054 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.055 * [backup-simplify]: Simplify (+ 1 0) into 1
0.055 * [backup-simplify]: Simplify (sqrt 1) into 1
0.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.056 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.056 * [taylor]: Taking taylor expansion of im in re
0.056 * [backup-simplify]: Simplify im into im
0.056 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.056 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.056 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.057 * [taylor]: Taking taylor expansion of re in re
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify (* 1 1) into 1
0.057 * [backup-simplify]: Simplify (/ 1 1) into 1
0.057 * [backup-simplify]: Simplify (+ 0 1) into 1
0.057 * [backup-simplify]: Simplify (sqrt 1) into 1
0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.058 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.059 * [taylor]: Taking taylor expansion of im in re
0.059 * [backup-simplify]: Simplify im into im
0.059 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.059 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.059 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.059 * [taylor]: Taking taylor expansion of re in re
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (* 1 1) into 1
0.060 * [backup-simplify]: Simplify (/ 1 1) into 1
0.060 * [backup-simplify]: Simplify (+ 0 1) into 1
0.060 * [backup-simplify]: Simplify (sqrt 1) into 1
0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.061 * [taylor]: Taking taylor expansion of 1 in im
0.061 * [backup-simplify]: Simplify 1 into 1
0.061 * [taylor]: Taking taylor expansion of 0 in im
0.061 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.063 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.063 * [taylor]: Taking taylor expansion of 1/2 in im
0.063 * [backup-simplify]: Simplify 1/2 into 1/2
0.063 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.063 * [taylor]: Taking taylor expansion of im in im
0.064 * [backup-simplify]: Simplify 0 into 0
0.064 * [backup-simplify]: Simplify 1 into 1
0.064 * [backup-simplify]: Simplify (* 1 1) into 1
0.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.067 * [taylor]: Taking taylor expansion of 0 in im
0.067 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.069 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.069 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.069 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.069 * [taylor]: Taking taylor expansion of im in im
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* 1 1) into 1
0.069 * [backup-simplify]: Simplify (/ 1 1) into 1
0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.069 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.069 * [taylor]: Taking taylor expansion of re in im
0.069 * [backup-simplify]: Simplify re into re
0.069 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.070 * [backup-simplify]: Simplify (+ 1 0) into 1
0.070 * [backup-simplify]: Simplify (sqrt 1) into 1
0.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.071 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.071 * [taylor]: Taking taylor expansion of im in re
0.071 * [backup-simplify]: Simplify im into im
0.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.072 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.072 * [taylor]: Taking taylor expansion of re in re
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (* 1 1) into 1
0.072 * [backup-simplify]: Simplify (/ 1 1) into 1
0.072 * [backup-simplify]: Simplify (+ 0 1) into 1
0.073 * [backup-simplify]: Simplify (sqrt 1) into 1
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.074 * [taylor]: Taking taylor expansion of im in re
0.074 * [backup-simplify]: Simplify im into im
0.074 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.074 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.074 * [taylor]: Taking taylor expansion of re in re
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* 1 1) into 1
0.075 * [backup-simplify]: Simplify (/ 1 1) into 1
0.075 * [backup-simplify]: Simplify (+ 0 1) into 1
0.075 * [backup-simplify]: Simplify (sqrt 1) into 1
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.077 * [taylor]: Taking taylor expansion of 1 in im
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [taylor]: Taking taylor expansion of 0 in im
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.079 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.079 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.079 * [taylor]: Taking taylor expansion of 1/2 in im
0.079 * [backup-simplify]: Simplify 1/2 into 1/2
0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.079 * [taylor]: Taking taylor expansion of im in im
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.082 * [taylor]: Taking taylor expansion of 0 in im
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.083 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.083 * [backup-simplify]: Simplify (log (sqrt (+ (* re re) (* im im)))) into (log (sqrt (+ (pow re 2) (pow im 2))))
0.084 * [approximate]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0
0.084 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.084 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.084 * [taylor]: Taking taylor expansion of re in im
0.084 * [backup-simplify]: Simplify re into re
0.084 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.084 * [taylor]: Taking taylor expansion of im in im
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.084 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.084 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.084 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.084 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.084 * [backup-simplify]: Simplify (log re) into (log re)
0.084 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.084 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.084 * [taylor]: Taking taylor expansion of re in re
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.084 * [taylor]: Taking taylor expansion of im in re
0.084 * [backup-simplify]: Simplify im into im
0.085 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.085 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.085 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.085 * [backup-simplify]: Simplify (log im) into (log im)
0.085 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re
0.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.085 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.085 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.085 * [taylor]: Taking taylor expansion of re in re
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.085 * [taylor]: Taking taylor expansion of im in re
0.085 * [backup-simplify]: Simplify im into im
0.085 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.085 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.085 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.085 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.086 * [backup-simplify]: Simplify (log im) into (log im)
0.086 * [taylor]: Taking taylor expansion of (log im) in im
0.086 * [taylor]: Taking taylor expansion of im in im
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (log 1) into 0
0.086 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
0.086 * [backup-simplify]: Simplify (log im) into (log im)
0.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
0.087 * [taylor]: Taking taylor expansion of 0 in im
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.093 * [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))
0.093 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.093 * [taylor]: Taking taylor expansion of 1/2 in im
0.093 * [backup-simplify]: Simplify 1/2 into 1/2
0.093 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.093 * [taylor]: Taking taylor expansion of im in im
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (* 1 1) into 1
0.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.100 * [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
0.100 * [taylor]: Taking taylor expansion of 0 in im
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify (log im) into (log im)
0.100 * [backup-simplify]: Simplify (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.100 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.100 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.100 * [taylor]: Taking taylor expansion of im in im
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (* 1 1) into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.101 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.101 * [taylor]: Taking taylor expansion of re in im
0.101 * [backup-simplify]: Simplify re into re
0.101 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.101 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.101 * [backup-simplify]: Simplify (+ 1 0) into 1
0.102 * [backup-simplify]: Simplify (sqrt 1) into 1
0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.103 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.103 * [backup-simplify]: Simplify (log 1) into 0
0.103 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.103 * [taylor]: Taking taylor expansion of im in re
0.103 * [backup-simplify]: Simplify im into im
0.103 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.103 * [taylor]: Taking taylor expansion of re in re
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify (* 1 1) into 1
0.104 * [backup-simplify]: Simplify (/ 1 1) into 1
0.104 * [backup-simplify]: Simplify (+ 0 1) into 1
0.104 * [backup-simplify]: Simplify (sqrt 1) into 1
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.106 * [backup-simplify]: Simplify (log 1) into 0
0.106 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.106 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.106 * [taylor]: Taking taylor expansion of im in re
0.106 * [backup-simplify]: Simplify im into im
0.106 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.106 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.106 * [taylor]: Taking taylor expansion of re in re
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ 0 1) into 1
0.107 * [backup-simplify]: Simplify (sqrt 1) into 1
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.109 * [backup-simplify]: Simplify (log 1) into 0
0.109 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
0.109 * [taylor]: Taking taylor expansion of (- (log re)) in im
0.109 * [taylor]: Taking taylor expansion of (log re) in im
0.109 * [taylor]: Taking taylor expansion of re in im
0.109 * [backup-simplify]: Simplify re into re
0.109 * [backup-simplify]: Simplify (log re) into (log re)
0.110 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.110 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.110 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.110 * [taylor]: Taking taylor expansion of 0 in im
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
0.111 * [backup-simplify]: Simplify (- 0) into 0
0.111 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.113 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.114 * [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))
0.114 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.114 * [taylor]: Taking taylor expansion of 1/2 in im
0.114 * [backup-simplify]: Simplify 1/2 into 1/2
0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.114 * [taylor]: Taking taylor expansion of im in im
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
0.118 * [backup-simplify]: Simplify (- 0) into 0
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.122 * [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
0.122 * [taylor]: Taking taylor expansion of 0 in im
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify (- (log (/ 1 re))) into (- (log (/ 1 re)))
0.122 * [backup-simplify]: Simplify (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))
0.122 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0
0.122 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im
0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.122 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.122 * [taylor]: Taking taylor expansion of im in im
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (/ 1 1) into 1
0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.123 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.123 * [taylor]: Taking taylor expansion of re in im
0.123 * [backup-simplify]: Simplify re into re
0.123 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.123 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [backup-simplify]: Simplify (sqrt 1) into 1
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.125 * [backup-simplify]: Simplify (log 1) into 0
0.125 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.125 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.125 * [taylor]: Taking taylor expansion of im in re
0.125 * [backup-simplify]: Simplify im into im
0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.125 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.125 * [taylor]: Taking taylor expansion of re in re
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [backup-simplify]: Simplify (+ 0 1) into 1
0.126 * [backup-simplify]: Simplify (sqrt 1) into 1
0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.128 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.128 * [backup-simplify]: Simplify (log 1) into 0
0.128 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re
0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.128 * [taylor]: Taking taylor expansion of im in re
0.128 * [backup-simplify]: Simplify im into im
0.128 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.129 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.129 * [taylor]: Taking taylor expansion of re in re
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify 1 into 1
0.129 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [backup-simplify]: Simplify (+ 0 1) into 1
0.130 * [backup-simplify]: Simplify (sqrt 1) into 1
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.131 * [backup-simplify]: Simplify (log 1) into 0
0.131 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
0.132 * [taylor]: Taking taylor expansion of (- (log re)) in im
0.132 * [taylor]: Taking taylor expansion of (log re) in im
0.132 * [taylor]: Taking taylor expansion of re in im
0.132 * [backup-simplify]: Simplify re into re
0.132 * [backup-simplify]: Simplify (log re) into (log re)
0.132 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.132 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.132 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.132 * [taylor]: Taking taylor expansion of 0 in im
0.132 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
0.133 * [backup-simplify]: Simplify (- 0) into 0
0.133 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.135 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.136 * [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))
0.136 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.136 * [taylor]: Taking taylor expansion of 1/2 in im
0.136 * [backup-simplify]: Simplify 1/2 into 1/2
0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.136 * [taylor]: Taking taylor expansion of im in im
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
0.140 * [backup-simplify]: Simplify (- 0) into 0
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.144 * [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
0.144 * [taylor]: Taking taylor expansion of 0 in im
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (- (log (/ 1 (- re)))) into (- (log (/ -1 re)))
0.144 * * * [progress]: simplifying candidates
0.145 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* re re) (* im im))))
  (log1p (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (expm1 (log (sqrt (+ (* re re) (* im im)))))
  (log1p (log (sqrt (+ (* re re) (* im im)))))
  (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))
  (log (cbrt (sqrt (+ (* re re) (* im im)))))
  (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))
  (log (sqrt (cbrt (+ (* re re) (* im im)))))
  (log (sqrt (sqrt (+ (* re re) (* im im)))))
  (log (sqrt (sqrt (+ (* re re) (* im im)))))
  (log (sqrt 1))
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (sqrt (+ (* re re) (* im im)))))
  (log (sqrt (sqrt (+ (* re re) (* im im)))))
  (log 1)
  (log (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))
  (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))
  (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))
  (log (sqrt (- (* re re) (* im im))))
  (log (+ (* re re) (* im im)))
  (log (sqrt (+ (* re re) (* im im))))
  (log (+ (* re re) (* im im)))
  (log (log (sqrt (+ (* re re) (* im im)))))
  (exp (log (sqrt (+ (* re re) (* im im)))))
  (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))
  (cbrt (log (sqrt (+ (* re re) (* im im)))))
  (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))))
  (sqrt (log (sqrt (+ (* re re) (* im im)))))
  (sqrt (log (sqrt (+ (* re re) (* im im)))))
  im
  re
  (* -1 re)
  (log im)
  (- (log (/ 1 re)))
  (- (log (/ -1 re)))
0.145 * [simplify]: Sending expressions to egg_math:
 (expm1 (sqrt (+ (* h1 h1) (* h0 h0))))
 (log1p (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (expm1 (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log1p (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))
 (log (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))
 (log (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))
 (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log (sqrt 1))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (log 1)
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))
 (log (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))
 (log (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))
 (log (sqrt (- (* h1 h1) (* h0 h0))))
 (log (+ (* h1 h1) (* h0 h0)))
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (log (+ (* h1 h1) (* h0 h0)))
 (log (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (exp (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0))))))
 (cbrt (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (* (* (log (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0))))) (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (log (sqrt (+ (* h1 h1) (* h0 h0)))))
 h0
 h1
 (* -1 h1)
 (log h0)
 (- (log (/ 1 h1)))
 (- (log (/ -1 h1)))
0.148 * * [simplify]: iteration  0 :  133  enodes  (cost  296 )
0.150 * * [simplify]: iteration  1 :  295  enodes  (cost  272 )
0.155 * * [simplify]: iteration  2 :  685  enodes  (cost  272 )
0.166 * * [simplify]: iteration  3 :  1679  enodes  (cost  272 )
0.200 * * [simplify]: iteration  4 :  5001  enodes  (cost  269 )
0.202 * * * [progress]: adding candidates to table
0.300 * * [progress]: iteration 2 / 4
0.300 * * * [progress]: picking best candidate
0.303 * * * * [pick]: Picked  #<alt (λ (re im) (log (* 1 (hypot re im))))>
0.303 * * * [progress]: localizing error
0.309 * * * [progress]: generating rewritten candidates
0.309 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2)
0.309 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.315 * * * [progress]: generating series expansions
0.315 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2)
0.315 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.315 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.315 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.315 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.315 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.315 * [taylor]: Taking taylor expansion of (* re re) in im
0.315 * [taylor]: Taking taylor expansion of re in im
0.315 * [backup-simplify]: Simplify re into re
0.315 * [taylor]: Taking taylor expansion of re in im
0.316 * [backup-simplify]: Simplify re into re
0.316 * [taylor]: Taking taylor expansion of (* im im) in im
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [taylor]: Taking taylor expansion of im in im
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.316 * [backup-simplify]: Simplify (* 0 0) into 0
0.316 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.316 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.316 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.317 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.317 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.317 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.317 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.317 * [taylor]: Taking taylor expansion of (* re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re
0.317 * [taylor]: Taking taylor expansion of im in re
0.317 * [backup-simplify]: Simplify im into im
0.317 * [taylor]: Taking taylor expansion of im in re
0.317 * [backup-simplify]: Simplify im into im
0.317 * [backup-simplify]: Simplify (* 0 0) into 0
0.318 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.318 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.318 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.318 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.318 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.319 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.319 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.319 * [taylor]: Taking taylor expansion of (* re re) in re
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of re in re
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [taylor]: Taking taylor expansion of (* im im) in re
0.319 * [taylor]: Taking taylor expansion of im in re
0.319 * [backup-simplify]: Simplify im into im
0.319 * [taylor]: Taking taylor expansion of im in re
0.319 * [backup-simplify]: Simplify im into im
0.319 * [backup-simplify]: Simplify (* 0 0) into 0
0.319 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.319 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.319 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.320 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.320 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.320 * [taylor]: Taking taylor expansion of im in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [taylor]: Taking taylor expansion of 0 in im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.321 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.321 * [backup-simplify]: Simplify (+ 1 0) into 1
0.322 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.322 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.322 * [taylor]: Taking taylor expansion of 1/2 in im
0.322 * [backup-simplify]: Simplify 1/2 into 1/2
0.322 * [taylor]: Taking taylor expansion of im in im
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.324 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.325 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.325 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.325 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.325 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.325 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.325 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.325 * [taylor]: Taking taylor expansion of re in im
0.325 * [backup-simplify]: Simplify re into re
0.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.325 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.325 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.325 * [taylor]: Taking taylor expansion of im in im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify (/ 1 1) into 1
0.326 * [backup-simplify]: Simplify (* 1 1) into 1
0.326 * [backup-simplify]: Simplify (+ 0 1) into 1
0.326 * [backup-simplify]: Simplify (sqrt 1) into 1
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
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
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [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)
0.329 * [backup-simplify]: Simplify (* 1 1) into 1
0.329 * [backup-simplify]: Simplify (+ 1 0) into 1
0.330 * [backup-simplify]: Simplify (sqrt 1) into 1
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.331 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.331 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.331 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.331 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.331 * [taylor]: Taking taylor expansion of re in re
0.331 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.332 * [taylor]: Taking taylor expansion of re in re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.332 * [taylor]: Taking taylor expansion of im in re
0.332 * [backup-simplify]: Simplify im into im
0.332 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.332 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.332 * [taylor]: Taking taylor expansion of im in re
0.332 * [backup-simplify]: Simplify im into im
0.332 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (+ 1 0) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.335 * [taylor]: Taking taylor expansion of 1 in im
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of 0 in im
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.336 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.337 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.337 * [taylor]: Taking taylor expansion of 1/2 in im
0.337 * [backup-simplify]: Simplify 1/2 into 1/2
0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.337 * [taylor]: Taking taylor expansion of im in im
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (* 1 1) into 1
0.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.338 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.341 * [taylor]: Taking taylor expansion of 0 in im
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.342 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.342 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.342 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.342 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.342 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.342 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.342 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.342 * [taylor]: Taking taylor expansion of -1 in im
0.342 * [backup-simplify]: Simplify -1 into -1
0.342 * [taylor]: Taking taylor expansion of re in im
0.342 * [backup-simplify]: Simplify re into re
0.342 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.342 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.342 * [taylor]: Taking taylor expansion of -1 in im
0.342 * [backup-simplify]: Simplify -1 into -1
0.342 * [taylor]: Taking taylor expansion of re in im
0.342 * [backup-simplify]: Simplify re into re
0.342 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.342 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.343 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.343 * [taylor]: Taking taylor expansion of -1 in im
0.343 * [backup-simplify]: Simplify -1 into -1
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (/ -1 1) into -1
0.343 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.343 * [taylor]: Taking taylor expansion of -1 in im
0.343 * [backup-simplify]: Simplify -1 into -1
0.343 * [taylor]: Taking taylor expansion of im in im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (/ -1 1) into -1
0.343 * [backup-simplify]: Simplify (* -1 -1) into 1
0.344 * [backup-simplify]: Simplify (+ 0 1) into 1
0.344 * [backup-simplify]: Simplify (sqrt 1) into 1
0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.346 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.346 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.346 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.346 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.346 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.346 * [taylor]: Taking taylor expansion of -1 in re
0.346 * [backup-simplify]: Simplify -1 into -1
0.346 * [taylor]: Taking taylor expansion of re in re
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (/ -1 1) into -1
0.346 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.346 * [taylor]: Taking taylor expansion of -1 in re
0.346 * [backup-simplify]: Simplify -1 into -1
0.346 * [taylor]: Taking taylor expansion of re in re
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (/ -1 1) into -1
0.347 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.347 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.347 * [taylor]: Taking taylor expansion of -1 in re
0.347 * [backup-simplify]: Simplify -1 into -1
0.347 * [taylor]: Taking taylor expansion of im in re
0.347 * [backup-simplify]: Simplify im into im
0.347 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.347 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.347 * [taylor]: Taking taylor expansion of -1 in re
0.347 * [backup-simplify]: Simplify -1 into -1
0.347 * [taylor]: Taking taylor expansion of im in re
0.347 * [backup-simplify]: Simplify im into im
0.347 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.347 * [backup-simplify]: Simplify (* -1 -1) into 1
0.347 * [backup-simplify]: Simplify (+ 1 0) into 1
0.347 * [backup-simplify]: Simplify (sqrt 1) into 1
0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.349 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.349 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.349 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.349 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.349 * [taylor]: Taking taylor expansion of -1 in re
0.349 * [backup-simplify]: Simplify -1 into -1
0.349 * [taylor]: Taking taylor expansion of re in re
0.349 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ -1 1) into -1
0.352 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.352 * [taylor]: Taking taylor expansion of -1 in re
0.352 * [backup-simplify]: Simplify -1 into -1
0.352 * [taylor]: Taking taylor expansion of re in re
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (/ -1 1) into -1
0.353 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.353 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.353 * [taylor]: Taking taylor expansion of -1 in re
0.353 * [backup-simplify]: Simplify -1 into -1
0.353 * [taylor]: Taking taylor expansion of im in re
0.353 * [backup-simplify]: Simplify im into im
0.353 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.353 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.353 * [taylor]: Taking taylor expansion of -1 in re
0.353 * [backup-simplify]: Simplify -1 into -1
0.353 * [taylor]: Taking taylor expansion of im in re
0.353 * [backup-simplify]: Simplify im into im
0.353 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.353 * [backup-simplify]: Simplify (* -1 -1) into 1
0.353 * [backup-simplify]: Simplify (+ 1 0) into 1
0.354 * [backup-simplify]: Simplify (sqrt 1) into 1
0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.355 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.356 * [taylor]: Taking taylor expansion of 1 in im
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of 0 in im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.357 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.358 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.358 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.358 * [taylor]: Taking taylor expansion of 1/2 in im
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.358 * [taylor]: Taking taylor expansion of im in im
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.361 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.361 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.362 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.362 * [taylor]: Taking taylor expansion of 0 in im
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.363 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.363 * [backup-simplify]: Simplify (log (* 1 (hypot re im))) into (log (hypot re im))
0.363 * [approximate]: Taking taylor expansion of (log (hypot re im)) in (re im) around 0
0.363 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im
0.363 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.364 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.364 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.364 * [taylor]: Taking taylor expansion of (* re re) in im
0.364 * [taylor]: Taking taylor expansion of re in im
0.364 * [backup-simplify]: Simplify re into re
0.364 * [taylor]: Taking taylor expansion of re in im
0.364 * [backup-simplify]: Simplify re into re
0.364 * [taylor]: Taking taylor expansion of (* im im) in im
0.364 * [taylor]: Taking taylor expansion of im in im
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.364 * [taylor]: Taking taylor expansion of im in im
0.364 * [backup-simplify]: Simplify 0 into 0
0.364 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.364 * [backup-simplify]: Simplify (* 0 0) into 0
0.364 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.364 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.364 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.365 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.365 * [backup-simplify]: Simplify (log re) into (log re)
0.365 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
0.365 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.365 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.365 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.365 * [taylor]: Taking taylor expansion of (* re re) in re
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of re in re
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [taylor]: Taking taylor expansion of (* im im) in re
0.365 * [taylor]: Taking taylor expansion of im in re
0.365 * [backup-simplify]: Simplify im into im
0.365 * [taylor]: Taking taylor expansion of im in re
0.365 * [backup-simplify]: Simplify im into im
0.365 * [backup-simplify]: Simplify (* 0 0) into 0
0.366 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.366 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.366 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.366 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.366 * [backup-simplify]: Simplify (log im) into (log im)
0.366 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re
0.366 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.367 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.367 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.367 * [taylor]: Taking taylor expansion of (* re re) in re
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [taylor]: Taking taylor expansion of re in re
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [taylor]: Taking taylor expansion of (* im im) in re
0.367 * [taylor]: Taking taylor expansion of im in re
0.367 * [backup-simplify]: Simplify im into im
0.367 * [taylor]: Taking taylor expansion of im in re
0.367 * [backup-simplify]: Simplify im into im
0.367 * [backup-simplify]: Simplify (* 0 0) into 0
0.367 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.367 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.367 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.367 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.368 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.368 * [backup-simplify]: Simplify (+ 0 0) into 0
0.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.368 * [backup-simplify]: Simplify (log im) into (log im)
0.368 * [taylor]: Taking taylor expansion of (log im) in im
0.368 * [taylor]: Taking taylor expansion of im in im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (log 1) into 0
0.369 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im)
0.369 * [backup-simplify]: Simplify (log im) into (log im)
0.369 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0
0.369 * [taylor]: Taking taylor expansion of 0 in im
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.371 * [backup-simplify]: Simplify (+ 1 0) into 1
0.371 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.372 * [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))
0.372 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.372 * [taylor]: Taking taylor expansion of 1/2 in im
0.372 * [backup-simplify]: Simplify 1/2 into 1/2
0.372 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.372 * [taylor]: Taking taylor expansion of im in im
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.377 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.379 * [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
0.379 * [taylor]: Taking taylor expansion of 0 in im
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify (log im) into (log im)
0.379 * [backup-simplify]: Simplify (log (* 1 (hypot (/ 1 re) (/ 1 im)))) into (log (hypot (/ 1 re) (/ 1 im)))
0.379 * [approximate]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in (re im) around 0
0.379 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im
0.379 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.379 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.379 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.379 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.379 * [taylor]: Taking taylor expansion of re in im
0.379 * [backup-simplify]: Simplify re into re
0.379 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.379 * [taylor]: Taking taylor expansion of re in im
0.379 * [backup-simplify]: Simplify re into re
0.379 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.379 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.379 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.379 * [taylor]: Taking taylor expansion of im in im
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.379 * [taylor]: Taking taylor expansion of im in im
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (/ 1 1) into 1
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (+ 0 1) into 1
0.380 * [backup-simplify]: Simplify (sqrt 1) into 1
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (+ 0 0) into 0
0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.382 * [backup-simplify]: Simplify (log 1) into 0
0.382 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
0.382 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.382 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.382 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.382 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.383 * [taylor]: Taking taylor expansion of re in re
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (/ 1 1) into 1
0.383 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.383 * [taylor]: Taking taylor expansion of re in re
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 1 into 1
0.383 * [backup-simplify]: Simplify (/ 1 1) into 1
0.383 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.383 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.383 * [taylor]: Taking taylor expansion of im in re
0.383 * [backup-simplify]: Simplify im into im
0.383 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.383 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.383 * [taylor]: Taking taylor expansion of im in re
0.383 * [backup-simplify]: Simplify im into im
0.383 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.383 * [backup-simplify]: Simplify (* 1 1) into 1
0.384 * [backup-simplify]: Simplify (+ 1 0) into 1
0.384 * [backup-simplify]: Simplify (sqrt 1) into 1
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.385 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.386 * [backup-simplify]: Simplify (log 1) into 0
0.386 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re
0.386 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.386 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.386 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.386 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.386 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.386 * [taylor]: Taking taylor expansion of re in re
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.387 * [taylor]: Taking taylor expansion of re in re
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (/ 1 1) into 1
0.387 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.387 * [taylor]: Taking taylor expansion of im in re
0.387 * [backup-simplify]: Simplify im into im
0.387 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.387 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.387 * [taylor]: Taking taylor expansion of im in re
0.387 * [backup-simplify]: Simplify im into im
0.387 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.387 * [backup-simplify]: Simplify (* 1 1) into 1
0.387 * [backup-simplify]: Simplify (+ 1 0) into 1
0.388 * [backup-simplify]: Simplify (sqrt 1) into 1
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.390 * [backup-simplify]: Simplify (log 1) into 0
0.390 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
0.390 * [taylor]: Taking taylor expansion of (- (log re)) in im
0.390 * [taylor]: Taking taylor expansion of (log re) in im
0.390 * [taylor]: Taking taylor expansion of re in im
0.390 * [backup-simplify]: Simplify re into re
0.390 * [backup-simplify]: Simplify (log re) into (log re)
0.390 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.390 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.391 * [taylor]: Taking taylor expansion of 0 in im
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
0.392 * [backup-simplify]: Simplify (- 0) into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.393 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.393 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.394 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.395 * [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))
0.395 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.395 * [taylor]: Taking taylor expansion of 1/2 in im
0.395 * [backup-simplify]: Simplify 1/2 into 1/2
0.395 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.395 * [taylor]: Taking taylor expansion of im in im
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
0.399 * [backup-simplify]: Simplify (- 0) into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.400 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.401 * [backup-simplify]: Simplify (+ 0 0) into 0
0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.403 * [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
0.403 * [taylor]: Taking taylor expansion of 0 in im
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (- (log (/ 1 re))) into (- (log (/ 1 re)))
0.403 * [backup-simplify]: Simplify (log (* 1 (hypot (/ 1 (- re)) (/ 1 (- im))))) into (log (hypot (/ -1 re) (/ -1 im)))
0.403 * [approximate]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in (re im) around 0
0.403 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im
0.403 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.403 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.403 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.403 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.404 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.404 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of re in im
0.404 * [backup-simplify]: Simplify re into re
0.404 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.404 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.404 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of re in im
0.404 * [backup-simplify]: Simplify re into re
0.404 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.404 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.404 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.404 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (/ -1 1) into -1
0.404 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.404 * [taylor]: Taking taylor expansion of -1 in im
0.404 * [backup-simplify]: Simplify -1 into -1
0.404 * [taylor]: Taking taylor expansion of im in im
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (/ -1 1) into -1
0.405 * [backup-simplify]: Simplify (* -1 -1) into 1
0.405 * [backup-simplify]: Simplify (+ 0 1) into 1
0.405 * [backup-simplify]: Simplify (sqrt 1) into 1
0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.407 * [backup-simplify]: Simplify (log 1) into 0
0.407 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
0.407 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.407 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.407 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.407 * [taylor]: Taking taylor expansion of -1 in re
0.407 * [backup-simplify]: Simplify -1 into -1
0.407 * [taylor]: Taking taylor expansion of re in re
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (/ -1 1) into -1
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
0.408 * [backup-simplify]: Simplify (/ -1 1) into -1
0.408 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.408 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re
0.408 * [backup-simplify]: Simplify im into im
0.408 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.408 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re
0.408 * [backup-simplify]: Simplify im into im
0.408 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.408 * [backup-simplify]: Simplify (* -1 -1) into 1
0.409 * [backup-simplify]: Simplify (+ 1 0) into 1
0.409 * [backup-simplify]: Simplify (sqrt 1) into 1
0.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.411 * [backup-simplify]: Simplify (log 1) into 0
0.411 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re
0.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.411 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.411 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.411 * [taylor]: Taking taylor expansion of -1 in re
0.411 * [backup-simplify]: Simplify -1 into -1
0.411 * [taylor]: Taking taylor expansion of re in re
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (/ -1 1) into -1
0.412 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.412 * [taylor]: Taking taylor expansion of -1 in re
0.412 * [backup-simplify]: Simplify -1 into -1
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
0.412 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.412 * [taylor]: Taking taylor expansion of -1 in re
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of im in re
0.412 * [backup-simplify]: Simplify im into im
0.412 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.412 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.412 * [taylor]: Taking taylor expansion of -1 in re
0.412 * [backup-simplify]: Simplify -1 into -1
0.412 * [taylor]: Taking taylor expansion of im in re
0.412 * [backup-simplify]: Simplify im into im
0.412 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.413 * [backup-simplify]: Simplify (* -1 -1) into 1
0.413 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [backup-simplify]: Simplify (sqrt 1) into 1
0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.414 * [backup-simplify]: Simplify (+ 0 0) into 0
0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.415 * [backup-simplify]: Simplify (log 1) into 0
0.415 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re))
0.415 * [taylor]: Taking taylor expansion of (- (log re)) in im
0.415 * [taylor]: Taking taylor expansion of (log re) in im
0.415 * [taylor]: Taking taylor expansion of re in im
0.415 * [backup-simplify]: Simplify re into re
0.416 * [backup-simplify]: Simplify (log re) into (log re)
0.416 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.416 * [backup-simplify]: Simplify (- (log re)) into (- (log re))
0.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
0.416 * [taylor]: Taking taylor expansion of 0 in im
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0
0.417 * [backup-simplify]: Simplify (- 0) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.419 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.421 * [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))
0.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.421 * [taylor]: Taking taylor expansion of 1/2 in im
0.421 * [backup-simplify]: Simplify 1/2 into 1/2
0.421 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.421 * [taylor]: Taking taylor expansion of im in im
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0
0.424 * [backup-simplify]: Simplify (- 0) into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.426 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.427 * [backup-simplify]: Simplify (+ 0 0) into 0
0.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.429 * [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
0.429 * [taylor]: Taking taylor expansion of 0 in im
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify (- (log (/ 1 (- re)))) into (- (log (/ -1 re)))
0.429 * * * [progress]: simplifying candidates
0.430 * [simplify]: Simplifying:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (log (* 1 (hypot re im))))
  (log1p (log (* 1 (hypot re im))))
  (log 1)
  (log (hypot re im))
  (log (* 1 (hypot re im)))
  (log (* 1 (hypot re im)))
  (log (log (* 1 (hypot re im))))
  (exp (log (* 1 (hypot re im))))
  (* (cbrt (log (* 1 (hypot re im)))) (cbrt (log (* 1 (hypot re im)))))
  (cbrt (log (* 1 (hypot re im))))
  (* (* (log (* 1 (hypot re im))) (log (* 1 (hypot re im)))) (log (* 1 (hypot re im))))
  (sqrt (log (* 1 (hypot re im))))
  (sqrt (log (* 1 (hypot re im))))
  im
  re
  (* -1 re)
  (log im)
  (- (log (/ 1 re)))
  (- (log (/ -1 re)))
0.430 * [simplify]: Sending expressions to egg_math:
 (expm1 (hypot h1 h0))
 (log1p (hypot h1 h0))
 (+ (* h1 h1) (* h0 h0))
 (log (hypot h1 h0))
 (exp (hypot h1 h0))
 (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))
 (cbrt (hypot h1 h0))
 (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0))
 (sqrt (hypot h1 h0))
 (sqrt (hypot h1 h0))
 (expm1 (log (* 1 (hypot h1 h0))))
 (log1p (log (* 1 (hypot h1 h0))))
 (log 1)
 (log (hypot h1 h0))
 (log (* 1 (hypot h1 h0)))
 (log (* 1 (hypot h1 h0)))
 (log (log (* 1 (hypot h1 h0))))
 (exp (log (* 1 (hypot h1 h0))))
 (* (cbrt (log (* 1 (hypot h1 h0)))) (cbrt (log (* 1 (hypot h1 h0)))))
 (cbrt (log (* 1 (hypot h1 h0))))
 (* (* (log (* 1 (hypot h1 h0))) (log (* 1 (hypot h1 h0)))) (log (* 1 (hypot h1 h0))))
 (sqrt (log (* 1 (hypot h1 h0))))
 (sqrt (log (* 1 (hypot h1 h0))))
 h0
 h1
 (* -1 h1)
 (log h0)
 (- (log (/ 1 h1)))
 (- (log (/ -1 h1)))
0.432 * * [simplify]: iteration  0 :  52  enodes  (cost  86 )
0.434 * * [simplify]: iteration  1 :  108  enodes  (cost  72 )
0.436 * * [simplify]: iteration  2 :  198  enodes  (cost  72 )
0.439 * * [simplify]: iteration  3 :  394  enodes  (cost  72 )
0.457 * * [simplify]: iteration  4 :  3217  enodes  (cost  72 )