12.589 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.022 * * * [progress]: [2/2] Setting up program.
0.030 * [progress]: [Phase 2 of 3] Improving.
0.030 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.030 * * [simplify]: iteration 0: 6 enodes
0.034 * * [simplify]: iteration 1: 9 enodes
0.037 * * [simplify]: iteration 2: 10 enodes
0.040 * * [simplify]: iteration complete: 10 enodes
0.040 * * [simplify]: Extracting #0: cost 1 inf + 0
0.041 * * [simplify]: Extracting #1: cost 4 inf + 0
0.041 * * [simplify]: Extracting #2: cost 4 inf + 2
0.041 * * [simplify]: Extracting #3: cost 0 inf + 238
0.041 * [simplify]: Simplified to:
  (hypot re im)
0.048 * * [progress]: iteration 1 / 4
0.048 * * * [progress]: picking best candidate
0.052 * * * * [pick]: Picked  #<alt (λ (re im) (hypot re im))>
0.052 * * * [progress]: localizing error
0.060 * * * [progress]: generating rewritten candidates
0.060 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.061 * * * [progress]: generating series expansions
0.061 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.061 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.061 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.061 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.062 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.062 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.062 * [taylor]: Taking taylor expansion of (* re re) in im
0.062 * [taylor]: Taking taylor expansion of re in im
0.062 * [backup-simplify]: Simplify re into re
0.062 * [taylor]: Taking taylor expansion of re in im
0.062 * [backup-simplify]: Simplify re into re
0.062 * [taylor]: Taking taylor expansion of (* im im) in im
0.062 * [taylor]: Taking taylor expansion of im in im
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [taylor]: Taking taylor expansion of im in im
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.063 * [backup-simplify]: Simplify (* 0 0) into 0
0.063 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.063 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.063 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.064 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.065 * [taylor]: Taking taylor expansion of (* re re) in re
0.065 * [taylor]: Taking taylor expansion of re in re
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [taylor]: Taking taylor expansion of re in re
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [taylor]: Taking taylor expansion of (* im im) in re
0.065 * [taylor]: Taking taylor expansion of im in re
0.065 * [backup-simplify]: Simplify im into im
0.065 * [taylor]: Taking taylor expansion of im in re
0.065 * [backup-simplify]: Simplify im into im
0.065 * [backup-simplify]: Simplify (* 0 0) into 0
0.065 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.066 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.067 * [backup-simplify]: Simplify (+ 0 0) into 0
0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.067 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.067 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.067 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.067 * [taylor]: Taking taylor expansion of (* re re) in re
0.067 * [taylor]: Taking taylor expansion of re in re
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of re in re
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [taylor]: Taking taylor expansion of (* im im) in re
0.067 * [taylor]: Taking taylor expansion of im in re
0.067 * [backup-simplify]: Simplify im into im
0.067 * [taylor]: Taking taylor expansion of im in re
0.067 * [backup-simplify]: Simplify im into im
0.068 * [backup-simplify]: Simplify (* 0 0) into 0
0.068 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.068 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.068 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.069 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.070 * [taylor]: Taking taylor expansion of im in im
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [taylor]: Taking taylor expansion of 0 in im
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.071 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.071 * [backup-simplify]: Simplify (+ 1 0) into 1
0.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.072 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.072 * [taylor]: Taking taylor expansion of 1/2 in im
0.072 * [backup-simplify]: Simplify 1/2 into 1/2
0.072 * [taylor]: Taking taylor expansion of im in im
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.074 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.074 * [taylor]: Taking taylor expansion of 0 in im
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.076 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.076 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.076 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.076 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.076 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.076 * [taylor]: Taking taylor expansion of re in im
0.076 * [backup-simplify]: Simplify re into re
0.076 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.076 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.076 * [taylor]: Taking taylor expansion of re in im
0.076 * [backup-simplify]: Simplify re into re
0.076 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.077 * [taylor]: Taking taylor expansion of im in im
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (/ 1 1) into 1
0.077 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.077 * [taylor]: Taking taylor expansion of im in im
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (/ 1 1) into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (+ 0 1) into 1
0.079 * [backup-simplify]: Simplify (sqrt 1) into 1
0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.082 * [taylor]: Taking taylor expansion of re in re
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (/ 1 1) into 1
0.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.082 * [taylor]: Taking taylor expansion of re in re
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.083 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.083 * [taylor]: Taking taylor expansion of im in re
0.083 * [backup-simplify]: Simplify im into im
0.083 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.083 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.083 * [taylor]: Taking taylor expansion of im in re
0.083 * [backup-simplify]: Simplify im into im
0.083 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.084 * [backup-simplify]: Simplify (+ 1 0) into 1
0.084 * [backup-simplify]: Simplify (sqrt 1) into 1
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.087 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.087 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.087 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.087 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.087 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.088 * [taylor]: Taking taylor expansion of re in re
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.088 * [taylor]: Taking taylor expansion of re in re
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify (/ 1 1) into 1
0.088 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.089 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.089 * [taylor]: Taking taylor expansion of im in re
0.089 * [backup-simplify]: Simplify im into im
0.089 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.089 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.089 * [taylor]: Taking taylor expansion of im in re
0.089 * [backup-simplify]: Simplify im into im
0.089 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.089 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (+ 1 0) into 1
0.090 * [backup-simplify]: Simplify (sqrt 1) into 1
0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.091 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.092 * [taylor]: Taking taylor expansion of 1 in im
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [taylor]: Taking taylor expansion of 0 in im
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.094 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.096 * [taylor]: Taking taylor expansion of 1/2 in im
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.096 * [taylor]: Taking taylor expansion of im in im
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.102 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.103 * [taylor]: Taking taylor expansion of 0 in im
0.103 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.106 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.106 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.106 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.106 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.106 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.106 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.106 * [taylor]: Taking taylor expansion of -1 in im
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of re in im
0.106 * [backup-simplify]: Simplify re into re
0.106 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.106 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.106 * [taylor]: Taking taylor expansion of -1 in im
0.106 * [backup-simplify]: Simplify -1 into -1
0.106 * [taylor]: Taking taylor expansion of re in im
0.106 * [backup-simplify]: Simplify re into re
0.107 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.107 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.107 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.107 * [taylor]: Taking taylor expansion of -1 in im
0.107 * [backup-simplify]: Simplify -1 into -1
0.107 * [taylor]: Taking taylor expansion of im in im
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (/ -1 1) into -1
0.108 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.108 * [taylor]: Taking taylor expansion of -1 in im
0.108 * [backup-simplify]: Simplify -1 into -1
0.108 * [taylor]: Taking taylor expansion of im in im
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.109 * [backup-simplify]: Simplify (/ -1 1) into -1
0.130 * [backup-simplify]: Simplify (* -1 -1) into 1
0.130 * [backup-simplify]: Simplify (+ 0 1) into 1
0.131 * [backup-simplify]: Simplify (sqrt 1) into 1
0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.134 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.135 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.135 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.135 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.135 * [taylor]: Taking taylor expansion of -1 in re
0.135 * [backup-simplify]: Simplify -1 into -1
0.135 * [taylor]: Taking taylor expansion of re in re
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [backup-simplify]: Simplify (/ -1 1) into -1
0.135 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.135 * [taylor]: Taking taylor expansion of -1 in re
0.135 * [backup-simplify]: Simplify -1 into -1
0.135 * [taylor]: Taking taylor expansion of re in re
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ -1 1) into -1
0.136 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.136 * [taylor]: Taking taylor expansion of -1 in re
0.136 * [backup-simplify]: Simplify -1 into -1
0.136 * [taylor]: Taking taylor expansion of im in re
0.136 * [backup-simplify]: Simplify im into im
0.136 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.136 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.136 * [taylor]: Taking taylor expansion of -1 in re
0.136 * [backup-simplify]: Simplify -1 into -1
0.136 * [taylor]: Taking taylor expansion of im in re
0.136 * [backup-simplify]: Simplify im into im
0.136 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.136 * [backup-simplify]: Simplify (* -1 -1) into 1
0.137 * [backup-simplify]: Simplify (+ 1 0) into 1
0.137 * [backup-simplify]: Simplify (sqrt 1) into 1
0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.141 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.141 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.141 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.141 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.141 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.141 * [taylor]: Taking taylor expansion of -1 in re
0.142 * [backup-simplify]: Simplify -1 into -1
0.142 * [taylor]: Taking taylor expansion of re in re
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.142 * [backup-simplify]: Simplify (/ -1 1) into -1
0.142 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.142 * [taylor]: Taking taylor expansion of -1 in re
0.142 * [backup-simplify]: Simplify -1 into -1
0.142 * [taylor]: Taking taylor expansion of re in re
0.142 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (/ -1 1) into -1
0.143 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.143 * [taylor]: Taking taylor expansion of -1 in re
0.143 * [backup-simplify]: Simplify -1 into -1
0.143 * [taylor]: Taking taylor expansion of im in re
0.143 * [backup-simplify]: Simplify im into im
0.143 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.143 * [taylor]: Taking taylor expansion of -1 in re
0.143 * [backup-simplify]: Simplify -1 into -1
0.143 * [taylor]: Taking taylor expansion of im in re
0.143 * [backup-simplify]: Simplify im into im
0.143 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.143 * [backup-simplify]: Simplify (* -1 -1) into 1
0.144 * [backup-simplify]: Simplify (+ 1 0) into 1
0.144 * [backup-simplify]: Simplify (sqrt 1) into 1
0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.148 * [taylor]: Taking taylor expansion of 1 in im
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [taylor]: Taking taylor expansion of 0 in im
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 1 into 1
0.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.152 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.152 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.154 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.154 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.154 * [taylor]: Taking taylor expansion of 1/2 in im
0.154 * [backup-simplify]: Simplify 1/2 into 1/2
0.154 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.154 * [taylor]: Taking taylor expansion of im in im
0.154 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (* 1 1) into 1
0.155 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.161 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.161 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.163 * [taylor]: Taking taylor expansion of 0 in im
0.163 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify 0 into 0
0.166 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.168 * * * [progress]: simplifying candidates
0.169 * [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))
  im
  re
  (* -1 re)
0.169 * * [simplify]: iteration 0: 17 enodes
0.175 * * [simplify]: iteration 1: 22 enodes
0.181 * * [simplify]: iteration 2: 25 enodes
0.189 * * [simplify]: iteration 3: 30 enodes
0.199 * * [simplify]: iteration 4: 38 enodes
0.220 * * [simplify]: iteration 5: 50 enodes
0.232 * * [simplify]: iteration 6: 71 enodes
0.264 * * [simplify]: iteration 7: 148 enodes
0.371 * * [simplify]: iteration 8: 308 enodes
0.801 * * [simplify]: iteration 9: 930 enodes
5.381 * * [simplify]: iteration complete: 5000 enodes
5.381 * * [simplify]: Extracting #0: cost 12 inf + 0
5.382 * * [simplify]: Extracting #1: cost 206 inf + 43
5.389 * * [simplify]: Extracting #2: cost 1133 inf + 1455
5.400 * * [simplify]: Extracting #3: cost 1147 inf + 5234
5.480 * * [simplify]: Extracting #4: cost 715 inf + 379081
5.785 * * [simplify]: Extracting #5: cost 37 inf + 945242
6.160 * * [simplify]: Extracting #6: cost 0 inf + 906363
6.549 * * [simplify]: Extracting #7: cost 0 inf + 899941
6.894 * [simplify]: Simplified to:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  im
  re
  (- re)
6.895 * * * [progress]: adding candidates to table
6.976 * * [progress]: iteration 2 / 4
6.977 * * * [progress]: picking best candidate
6.984 * * * * [pick]: Picked  #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>
6.984 * * * [progress]: localizing error
7.006 * * * [progress]: generating rewritten candidates
7.006 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
7.035 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1)
7.036 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
7.041 * * * [progress]: generating series expansions
7.041 * * * * [progress]: [ 1 / 3 ] generating series at (2)
7.042 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im)
7.042 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
7.042 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.042 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.042 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.042 * [taylor]: Taking taylor expansion of (* re re) in im
7.042 * [taylor]: Taking taylor expansion of re in im
7.042 * [backup-simplify]: Simplify re into re
7.042 * [taylor]: Taking taylor expansion of re in im
7.042 * [backup-simplify]: Simplify re into re
7.042 * [taylor]: Taking taylor expansion of (* im im) in im
7.042 * [taylor]: Taking taylor expansion of im in im
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 1 into 1
7.042 * [taylor]: Taking taylor expansion of im in im
7.042 * [backup-simplify]: Simplify 0 into 0
7.042 * [backup-simplify]: Simplify 1 into 1
7.042 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.043 * [backup-simplify]: Simplify (* 0 0) into 0
7.043 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.043 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.043 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.044 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.045 * [backup-simplify]: Simplify (+ 0 0) into 0
7.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.045 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.045 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.045 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.045 * [taylor]: Taking taylor expansion of (* re re) in re
7.045 * [taylor]: Taking taylor expansion of re in re
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.045 * [taylor]: Taking taylor expansion of re in re
7.045 * [backup-simplify]: Simplify 0 into 0
7.045 * [backup-simplify]: Simplify 1 into 1
7.045 * [taylor]: Taking taylor expansion of (* im im) in re
7.045 * [taylor]: Taking taylor expansion of im in re
7.045 * [backup-simplify]: Simplify im into im
7.045 * [taylor]: Taking taylor expansion of im in re
7.045 * [backup-simplify]: Simplify im into im
7.046 * [backup-simplify]: Simplify (* 0 0) into 0
7.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.046 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.046 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.048 * [backup-simplify]: Simplify (+ 0 0) into 0
7.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.048 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.048 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.048 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.048 * [taylor]: Taking taylor expansion of (* re re) in re
7.049 * [taylor]: Taking taylor expansion of re in re
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.049 * [taylor]: Taking taylor expansion of re in re
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.049 * [taylor]: Taking taylor expansion of (* im im) in re
7.049 * [taylor]: Taking taylor expansion of im in re
7.049 * [backup-simplify]: Simplify im into im
7.049 * [taylor]: Taking taylor expansion of im in re
7.049 * [backup-simplify]: Simplify im into im
7.049 * [backup-simplify]: Simplify (* 0 0) into 0
7.050 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.050 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.050 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.051 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.051 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.051 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.052 * [taylor]: Taking taylor expansion of im in im
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [taylor]: Taking taylor expansion of 0 in im
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 0 into 0
7.052 * [backup-simplify]: Simplify 1 into 1
7.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.053 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.054 * [backup-simplify]: Simplify (+ 1 0) into 1
7.055 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.055 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.055 * [taylor]: Taking taylor expansion of 1/2 in im
7.055 * [backup-simplify]: Simplify 1/2 into 1/2
7.055 * [taylor]: Taking taylor expansion of im in im
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 1 into 1
7.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 0 into 0
7.056 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.058 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.059 * [backup-simplify]: Simplify (+ 0 0) into 0
7.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.059 * [taylor]: Taking taylor expansion of 0 in im
7.059 * [backup-simplify]: Simplify 0 into 0
7.059 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.061 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im))
7.061 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
7.061 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.061 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.061 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.061 * [taylor]: Taking taylor expansion of re in im
7.061 * [backup-simplify]: Simplify re into re
7.061 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.061 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.061 * [taylor]: Taking taylor expansion of re in im
7.061 * [backup-simplify]: Simplify re into re
7.061 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.061 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.061 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.061 * [taylor]: Taking taylor expansion of im in im
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 1 into 1
7.062 * [backup-simplify]: Simplify (/ 1 1) into 1
7.062 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.062 * [taylor]: Taking taylor expansion of im in im
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 1 into 1
7.063 * [backup-simplify]: Simplify (/ 1 1) into 1
7.063 * [backup-simplify]: Simplify (* 1 1) into 1
7.063 * [backup-simplify]: Simplify (+ 0 1) into 1
7.064 * [backup-simplify]: Simplify (sqrt 1) into 1
7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.066 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.067 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.067 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.067 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.067 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.067 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.067 * [taylor]: Taking taylor expansion of re in re
7.067 * [backup-simplify]: Simplify 0 into 0
7.067 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (/ 1 1) into 1
7.068 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.068 * [taylor]: Taking taylor expansion of re in re
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.068 * [backup-simplify]: Simplify (/ 1 1) into 1
7.068 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.068 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.068 * [taylor]: Taking taylor expansion of im in re
7.069 * [backup-simplify]: Simplify im into im
7.069 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.069 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.069 * [taylor]: Taking taylor expansion of im in re
7.069 * [backup-simplify]: Simplify im into im
7.069 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.069 * [backup-simplify]: Simplify (* 1 1) into 1
7.070 * [backup-simplify]: Simplify (+ 1 0) into 1
7.070 * [backup-simplify]: Simplify (sqrt 1) into 1
7.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.073 * [backup-simplify]: Simplify (+ 0 0) into 0
7.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.073 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.074 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.074 * [taylor]: Taking taylor expansion of re in re
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.074 * [backup-simplify]: Simplify (/ 1 1) into 1
7.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.074 * [taylor]: Taking taylor expansion of re in re
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.075 * [backup-simplify]: Simplify (/ 1 1) into 1
7.075 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.075 * [taylor]: Taking taylor expansion of im in re
7.075 * [backup-simplify]: Simplify im into im
7.075 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.075 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.075 * [taylor]: Taking taylor expansion of im in re
7.075 * [backup-simplify]: Simplify im into im
7.075 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.076 * [backup-simplify]: Simplify (* 1 1) into 1
7.076 * [backup-simplify]: Simplify (+ 1 0) into 1
7.076 * [backup-simplify]: Simplify (sqrt 1) into 1
7.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.079 * [backup-simplify]: Simplify (+ 0 0) into 0
7.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.080 * [taylor]: Taking taylor expansion of 1 in im
7.080 * [backup-simplify]: Simplify 1 into 1
7.081 * [taylor]: Taking taylor expansion of 0 in im
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 1 into 1
7.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.084 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.086 * [taylor]: Taking taylor expansion of 1/2 in im
7.086 * [backup-simplify]: Simplify 1/2 into 1/2
7.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.086 * [taylor]: Taking taylor expansion of im in im
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [backup-simplify]: Simplify (* 1 1) into 1
7.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.088 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.092 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.092 * [backup-simplify]: Simplify (+ 0 0) into 0
7.093 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.093 * [taylor]: Taking taylor expansion of 0 in im
7.093 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.095 * [backup-simplify]: Simplify 0 into 0
7.095 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.096 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im))
7.096 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
7.096 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.096 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.096 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.096 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.097 * [taylor]: Taking taylor expansion of -1 in im
7.097 * [backup-simplify]: Simplify -1 into -1
7.097 * [taylor]: Taking taylor expansion of re in im
7.097 * [backup-simplify]: Simplify re into re
7.097 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.097 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.097 * [taylor]: Taking taylor expansion of -1 in im
7.097 * [backup-simplify]: Simplify -1 into -1
7.097 * [taylor]: Taking taylor expansion of re in im
7.097 * [backup-simplify]: Simplify re into re
7.097 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.097 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.097 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.097 * [taylor]: Taking taylor expansion of -1 in im
7.097 * [backup-simplify]: Simplify -1 into -1
7.097 * [taylor]: Taking taylor expansion of im in im
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 1 into 1
7.098 * [backup-simplify]: Simplify (/ -1 1) into -1
7.098 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.098 * [taylor]: Taking taylor expansion of -1 in im
7.098 * [backup-simplify]: Simplify -1 into -1
7.098 * [taylor]: Taking taylor expansion of im in im
7.098 * [backup-simplify]: Simplify 0 into 0
7.098 * [backup-simplify]: Simplify 1 into 1
7.099 * [backup-simplify]: Simplify (/ -1 1) into -1
7.099 * [backup-simplify]: Simplify (* -1 -1) into 1
7.100 * [backup-simplify]: Simplify (+ 0 1) into 1
7.100 * [backup-simplify]: Simplify (sqrt 1) into 1
7.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.103 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.103 * [backup-simplify]: Simplify (+ 0 0) into 0
7.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.104 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.104 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.104 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.104 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.104 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.104 * [taylor]: Taking taylor expansion of -1 in re
7.104 * [backup-simplify]: Simplify -1 into -1
7.104 * [taylor]: Taking taylor expansion of re in re
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ -1 1) into -1
7.105 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.105 * [taylor]: Taking taylor expansion of -1 in re
7.105 * [backup-simplify]: Simplify -1 into -1
7.105 * [taylor]: Taking taylor expansion of re in re
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (/ -1 1) into -1
7.105 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.105 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.105 * [taylor]: Taking taylor expansion of -1 in re
7.105 * [backup-simplify]: Simplify -1 into -1
7.105 * [taylor]: Taking taylor expansion of im in re
7.105 * [backup-simplify]: Simplify im into im
7.106 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.106 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.106 * [taylor]: Taking taylor expansion of -1 in re
7.106 * [backup-simplify]: Simplify -1 into -1
7.106 * [taylor]: Taking taylor expansion of im in re
7.106 * [backup-simplify]: Simplify im into im
7.106 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.106 * [backup-simplify]: Simplify (* -1 -1) into 1
7.107 * [backup-simplify]: Simplify (+ 1 0) into 1
7.107 * [backup-simplify]: Simplify (sqrt 1) into 1
7.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.110 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.110 * [backup-simplify]: Simplify (+ 0 0) into 0
7.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.111 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.111 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.111 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.112 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.112 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.112 * [taylor]: Taking taylor expansion of -1 in re
7.112 * [backup-simplify]: Simplify -1 into -1
7.112 * [taylor]: Taking taylor expansion of re in re
7.112 * [backup-simplify]: Simplify 0 into 0
7.112 * [backup-simplify]: Simplify 1 into 1
7.112 * [backup-simplify]: Simplify (/ -1 1) into -1
7.112 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.112 * [taylor]: Taking taylor expansion of -1 in re
7.112 * [backup-simplify]: Simplify -1 into -1
7.112 * [taylor]: Taking taylor expansion of re in re
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify 1 into 1
7.113 * [backup-simplify]: Simplify (/ -1 1) into -1
7.113 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.113 * [taylor]: Taking taylor expansion of -1 in re
7.113 * [backup-simplify]: Simplify -1 into -1
7.113 * [taylor]: Taking taylor expansion of im in re
7.113 * [backup-simplify]: Simplify im into im
7.113 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.113 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.113 * [taylor]: Taking taylor expansion of -1 in re
7.113 * [backup-simplify]: Simplify -1 into -1
7.114 * [taylor]: Taking taylor expansion of im in re
7.114 * [backup-simplify]: Simplify im into im
7.114 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.114 * [backup-simplify]: Simplify (* -1 -1) into 1
7.115 * [backup-simplify]: Simplify (+ 1 0) into 1
7.115 * [backup-simplify]: Simplify (sqrt 1) into 1
7.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.118 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.125 * [taylor]: Taking taylor expansion of 1 in im
7.125 * [backup-simplify]: Simplify 1 into 1
7.125 * [taylor]: Taking taylor expansion of 0 in im
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.129 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.131 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.131 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.131 * [taylor]: Taking taylor expansion of 1/2 in im
7.131 * [backup-simplify]: Simplify 1/2 into 1/2
7.131 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.131 * [taylor]: Taking taylor expansion of im in im
7.131 * [backup-simplify]: Simplify 0 into 0
7.131 * [backup-simplify]: Simplify 1 into 1
7.131 * [backup-simplify]: Simplify (* 1 1) into 1
7.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.133 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.137 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.137 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.137 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.138 * [backup-simplify]: Simplify (+ 0 0) into 0
7.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.139 * [taylor]: Taking taylor expansion of 0 in im
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.141 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1)
7.142 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
7.142 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
7.142 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.142 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.142 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.142 * [taylor]: Taking taylor expansion of (* re re) in im
7.142 * [taylor]: Taking taylor expansion of re in im
7.142 * [backup-simplify]: Simplify re into re
7.142 * [taylor]: Taking taylor expansion of re in im
7.142 * [backup-simplify]: Simplify re into re
7.142 * [taylor]: Taking taylor expansion of (* im im) in im
7.142 * [taylor]: Taking taylor expansion of im in im
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [taylor]: Taking taylor expansion of im in im
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.143 * [backup-simplify]: Simplify (* 0 0) into 0
7.143 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.143 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.144 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.145 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.145 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.145 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.145 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.145 * [taylor]: Taking taylor expansion of (* re re) in re
7.145 * [taylor]: Taking taylor expansion of re in re
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [taylor]: Taking taylor expansion of re in re
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [taylor]: Taking taylor expansion of (* im im) in re
7.145 * [taylor]: Taking taylor expansion of im in re
7.145 * [backup-simplify]: Simplify im into im
7.145 * [taylor]: Taking taylor expansion of im in re
7.145 * [backup-simplify]: Simplify im into im
7.146 * [backup-simplify]: Simplify (* 0 0) into 0
7.146 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.146 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.146 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.147 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.148 * [backup-simplify]: Simplify (+ 0 0) into 0
7.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.148 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.148 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.148 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.148 * [taylor]: Taking taylor expansion of (* re re) in re
7.148 * [taylor]: Taking taylor expansion of re in re
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 1 into 1
7.148 * [taylor]: Taking taylor expansion of re in re
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 1 into 1
7.148 * [taylor]: Taking taylor expansion of (* im im) in re
7.148 * [taylor]: Taking taylor expansion of im in re
7.148 * [backup-simplify]: Simplify im into im
7.148 * [taylor]: Taking taylor expansion of im in re
7.148 * [backup-simplify]: Simplify im into im
7.149 * [backup-simplify]: Simplify (* 0 0) into 0
7.149 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.149 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.150 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.152 * [taylor]: Taking taylor expansion of im in im
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify 1 into 1
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [taylor]: Taking taylor expansion of 0 in im
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify 0 into 0
7.152 * [backup-simplify]: Simplify 1 into 1
7.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.153 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.154 * [backup-simplify]: Simplify (+ 1 0) into 1
7.155 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.155 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.155 * [taylor]: Taking taylor expansion of 1/2 in im
7.155 * [backup-simplify]: Simplify 1/2 into 1/2
7.155 * [taylor]: Taking taylor expansion of im in im
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.159 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.160 * [backup-simplify]: Simplify (+ 0 0) into 0
7.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.160 * [taylor]: Taking taylor expansion of 0 in im
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.161 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
7.161 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
7.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.162 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.162 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.162 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.162 * [taylor]: Taking taylor expansion of re in im
7.162 * [backup-simplify]: Simplify re into re
7.162 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.162 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.162 * [taylor]: Taking taylor expansion of re in im
7.162 * [backup-simplify]: Simplify re into re
7.162 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.162 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.162 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.162 * [taylor]: Taking taylor expansion of im in im
7.162 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify 1 into 1
7.163 * [backup-simplify]: Simplify (/ 1 1) into 1
7.163 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.163 * [taylor]: Taking taylor expansion of im in im
7.163 * [backup-simplify]: Simplify 0 into 0
7.163 * [backup-simplify]: Simplify 1 into 1
7.163 * [backup-simplify]: Simplify (/ 1 1) into 1
7.164 * [backup-simplify]: Simplify (* 1 1) into 1
7.164 * [backup-simplify]: Simplify (+ 0 1) into 1
7.165 * [backup-simplify]: Simplify (sqrt 1) into 1
7.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.168 * [backup-simplify]: Simplify (+ 0 0) into 0
7.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.169 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.169 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.169 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.169 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.169 * [taylor]: Taking taylor expansion of re in re
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.170 * [backup-simplify]: Simplify (/ 1 1) into 1
7.170 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.170 * [taylor]: Taking taylor expansion of re in re
7.170 * [backup-simplify]: Simplify 0 into 0
7.170 * [backup-simplify]: Simplify 1 into 1
7.170 * [backup-simplify]: Simplify (/ 1 1) into 1
7.170 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.170 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.170 * [taylor]: Taking taylor expansion of im in re
7.170 * [backup-simplify]: Simplify im into im
7.171 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.171 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.171 * [taylor]: Taking taylor expansion of im in re
7.171 * [backup-simplify]: Simplify im into im
7.171 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.171 * [backup-simplify]: Simplify (* 1 1) into 1
7.171 * [backup-simplify]: Simplify (+ 1 0) into 1
7.172 * [backup-simplify]: Simplify (sqrt 1) into 1
7.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.174 * [backup-simplify]: Simplify (+ 0 0) into 0
7.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.175 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.175 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.175 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.175 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.176 * [taylor]: Taking taylor expansion of re in re
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (/ 1 1) into 1
7.176 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.176 * [taylor]: Taking taylor expansion of re in re
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (/ 1 1) into 1
7.176 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.177 * [taylor]: Taking taylor expansion of im in re
7.177 * [backup-simplify]: Simplify im into im
7.177 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.177 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.177 * [taylor]: Taking taylor expansion of im in re
7.177 * [backup-simplify]: Simplify im into im
7.177 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.177 * [backup-simplify]: Simplify (* 1 1) into 1
7.178 * [backup-simplify]: Simplify (+ 1 0) into 1
7.178 * [backup-simplify]: Simplify (sqrt 1) into 1
7.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.181 * [backup-simplify]: Simplify (+ 0 0) into 0
7.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.182 * [taylor]: Taking taylor expansion of 1 in im
7.182 * [backup-simplify]: Simplify 1 into 1
7.182 * [taylor]: Taking taylor expansion of 0 in im
7.182 * [backup-simplify]: Simplify 0 into 0
7.182 * [backup-simplify]: Simplify 1 into 1
7.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.185 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.185 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.186 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.186 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.186 * [taylor]: Taking taylor expansion of 1/2 in im
7.186 * [backup-simplify]: Simplify 1/2 into 1/2
7.186 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.187 * [taylor]: Taking taylor expansion of im in im
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 1 into 1
7.187 * [backup-simplify]: Simplify (* 1 1) into 1
7.187 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify 0 into 0
7.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.194 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.195 * [backup-simplify]: Simplify (+ 0 0) into 0
7.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.195 * [taylor]: Taking taylor expansion of 0 in im
7.195 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.197 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.198 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
7.198 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
7.198 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.198 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.198 * [taylor]: Taking taylor expansion of -1 in im
7.198 * [backup-simplify]: Simplify -1 into -1
7.198 * [taylor]: Taking taylor expansion of re in im
7.198 * [backup-simplify]: Simplify re into re
7.198 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.199 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.199 * [taylor]: Taking taylor expansion of -1 in im
7.199 * [backup-simplify]: Simplify -1 into -1
7.199 * [taylor]: Taking taylor expansion of re in im
7.199 * [backup-simplify]: Simplify re into re
7.199 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.199 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.199 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.199 * [taylor]: Taking taylor expansion of -1 in im
7.199 * [backup-simplify]: Simplify -1 into -1
7.199 * [taylor]: Taking taylor expansion of im in im
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify 1 into 1
7.199 * [backup-simplify]: Simplify (/ -1 1) into -1
7.200 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.200 * [taylor]: Taking taylor expansion of -1 in im
7.200 * [backup-simplify]: Simplify -1 into -1
7.200 * [taylor]: Taking taylor expansion of im in im
7.200 * [backup-simplify]: Simplify 0 into 0
7.200 * [backup-simplify]: Simplify 1 into 1
7.200 * [backup-simplify]: Simplify (/ -1 1) into -1
7.201 * [backup-simplify]: Simplify (* -1 -1) into 1
7.201 * [backup-simplify]: Simplify (+ 0 1) into 1
7.201 * [backup-simplify]: Simplify (sqrt 1) into 1
7.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.204 * [backup-simplify]: Simplify (+ 0 0) into 0
7.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.205 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.205 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.205 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.205 * [taylor]: Taking taylor expansion of -1 in re
7.205 * [backup-simplify]: Simplify -1 into -1
7.205 * [taylor]: Taking taylor expansion of re in re
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 1 into 1
7.206 * [backup-simplify]: Simplify (/ -1 1) into -1
7.206 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.206 * [taylor]: Taking taylor expansion of -1 in re
7.206 * [backup-simplify]: Simplify -1 into -1
7.206 * [taylor]: Taking taylor expansion of re in re
7.206 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify 1 into 1
7.206 * [backup-simplify]: Simplify (/ -1 1) into -1
7.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.207 * [taylor]: Taking taylor expansion of -1 in re
7.207 * [backup-simplify]: Simplify -1 into -1
7.207 * [taylor]: Taking taylor expansion of im in re
7.207 * [backup-simplify]: Simplify im into im
7.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.207 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.207 * [taylor]: Taking taylor expansion of -1 in re
7.207 * [backup-simplify]: Simplify -1 into -1
7.207 * [taylor]: Taking taylor expansion of im in re
7.207 * [backup-simplify]: Simplify im into im
7.207 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.207 * [backup-simplify]: Simplify (* -1 -1) into 1
7.208 * [backup-simplify]: Simplify (+ 1 0) into 1
7.208 * [backup-simplify]: Simplify (sqrt 1) into 1
7.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.211 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.211 * [backup-simplify]: Simplify (+ 0 0) into 0
7.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.212 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.212 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.212 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.212 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.212 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.212 * [taylor]: Taking taylor expansion of -1 in re
7.212 * [backup-simplify]: Simplify -1 into -1
7.212 * [taylor]: Taking taylor expansion of re in re
7.212 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify 1 into 1
7.213 * [backup-simplify]: Simplify (/ -1 1) into -1
7.213 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.213 * [taylor]: Taking taylor expansion of -1 in re
7.213 * [backup-simplify]: Simplify -1 into -1
7.213 * [taylor]: Taking taylor expansion of re in re
7.213 * [backup-simplify]: Simplify 0 into 0
7.213 * [backup-simplify]: Simplify 1 into 1
7.213 * [backup-simplify]: Simplify (/ -1 1) into -1
7.213 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.213 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.213 * [taylor]: Taking taylor expansion of -1 in re
7.213 * [backup-simplify]: Simplify -1 into -1
7.213 * [taylor]: Taking taylor expansion of im in re
7.213 * [backup-simplify]: Simplify im into im
7.214 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.214 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.214 * [taylor]: Taking taylor expansion of -1 in re
7.214 * [backup-simplify]: Simplify -1 into -1
7.214 * [taylor]: Taking taylor expansion of im in re
7.214 * [backup-simplify]: Simplify im into im
7.214 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.214 * [backup-simplify]: Simplify (* -1 -1) into 1
7.215 * [backup-simplify]: Simplify (+ 1 0) into 1
7.215 * [backup-simplify]: Simplify (sqrt 1) into 1
7.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.218 * [backup-simplify]: Simplify (+ 0 0) into 0
7.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.219 * [taylor]: Taking taylor expansion of 1 in im
7.219 * [backup-simplify]: Simplify 1 into 1
7.219 * [taylor]: Taking taylor expansion of 0 in im
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 1 into 1
7.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.223 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.223 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.223 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.225 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.225 * [taylor]: Taking taylor expansion of 1/2 in im
7.225 * [backup-simplify]: Simplify 1/2 into 1/2
7.225 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.225 * [taylor]: Taking taylor expansion of im in im
7.225 * [backup-simplify]: Simplify 0 into 0
7.225 * [backup-simplify]: Simplify 1 into 1
7.225 * [backup-simplify]: Simplify (* 1 1) into 1
7.226 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.227 * [backup-simplify]: Simplify 0 into 0
7.227 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 0 into 0
7.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.231 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.231 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.231 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.232 * [backup-simplify]: Simplify (+ 0 0) into 0
7.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.232 * [taylor]: Taking taylor expansion of 0 in im
7.232 * [backup-simplify]: Simplify 0 into 0
7.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify 0 into 0
7.235 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.235 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
7.235 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
7.235 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
7.235 * [taylor]: Taking taylor expansion of (hypot re im) in im
7.235 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.236 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
7.236 * [taylor]: Taking taylor expansion of (* re re) in im
7.236 * [taylor]: Taking taylor expansion of re in im
7.236 * [backup-simplify]: Simplify re into re
7.236 * [taylor]: Taking taylor expansion of re in im
7.236 * [backup-simplify]: Simplify re into re
7.236 * [taylor]: Taking taylor expansion of (* im im) in im
7.236 * [taylor]: Taking taylor expansion of im in im
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.236 * [taylor]: Taking taylor expansion of im in im
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.236 * [backup-simplify]: Simplify (* re re) into (pow re 2)
7.236 * [backup-simplify]: Simplify (* 0 0) into 0
7.237 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
7.237 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
7.237 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
7.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.238 * [backup-simplify]: Simplify (+ 0 0) into 0
7.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
7.239 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.239 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.239 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.239 * [taylor]: Taking taylor expansion of (* re re) in re
7.239 * [taylor]: Taking taylor expansion of re in re
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 1 into 1
7.239 * [taylor]: Taking taylor expansion of re in re
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 1 into 1
7.239 * [taylor]: Taking taylor expansion of (* im im) in re
7.239 * [taylor]: Taking taylor expansion of im in re
7.239 * [backup-simplify]: Simplify im into im
7.239 * [taylor]: Taking taylor expansion of im in re
7.239 * [backup-simplify]: Simplify im into im
7.240 * [backup-simplify]: Simplify (* 0 0) into 0
7.240 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.240 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.240 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.241 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.241 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.242 * [backup-simplify]: Simplify (+ 0 0) into 0
7.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.242 * [taylor]: Taking taylor expansion of (hypot re im) in re
7.242 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
7.242 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
7.242 * [taylor]: Taking taylor expansion of (* re re) in re
7.242 * [taylor]: Taking taylor expansion of re in re
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [taylor]: Taking taylor expansion of re in re
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [taylor]: Taking taylor expansion of (* im im) in re
7.243 * [taylor]: Taking taylor expansion of im in re
7.243 * [backup-simplify]: Simplify im into im
7.243 * [taylor]: Taking taylor expansion of im in re
7.243 * [backup-simplify]: Simplify im into im
7.243 * [backup-simplify]: Simplify (* 0 0) into 0
7.243 * [backup-simplify]: Simplify (* im im) into (pow im 2)
7.243 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
7.244 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
7.244 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.244 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
7.245 * [backup-simplify]: Simplify (+ 0 0) into 0
7.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
7.245 * [taylor]: Taking taylor expansion of im in im
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 1 into 1
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [taylor]: Taking taylor expansion of 0 in im
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 0 into 0
7.245 * [backup-simplify]: Simplify 1 into 1
7.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.247 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
7.247 * [backup-simplify]: Simplify (+ 1 0) into 1
7.248 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
7.248 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
7.248 * [taylor]: Taking taylor expansion of 1/2 in im
7.248 * [backup-simplify]: Simplify 1/2 into 1/2
7.248 * [taylor]: Taking taylor expansion of im in im
7.248 * [backup-simplify]: Simplify 0 into 0
7.248 * [backup-simplify]: Simplify 1 into 1
7.249 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify 0 into 0
7.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.252 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
7.252 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
7.252 * [taylor]: Taking taylor expansion of 0 in im
7.252 * [backup-simplify]: Simplify 0 into 0
7.252 * [backup-simplify]: Simplify 0 into 0
7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.254 * [backup-simplify]: Simplify 0 into 0
7.254 * [backup-simplify]: Simplify 0 into 0
7.254 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
7.254 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
7.254 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
7.254 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
7.254 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.254 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
7.254 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
7.254 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.254 * [taylor]: Taking taylor expansion of re in im
7.255 * [backup-simplify]: Simplify re into re
7.255 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.255 * [taylor]: Taking taylor expansion of (/ 1 re) in im
7.255 * [taylor]: Taking taylor expansion of re in im
7.255 * [backup-simplify]: Simplify re into re
7.255 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
7.255 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
7.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.255 * [taylor]: Taking taylor expansion of im in im
7.255 * [backup-simplify]: Simplify 0 into 0
7.255 * [backup-simplify]: Simplify 1 into 1
7.255 * [backup-simplify]: Simplify (/ 1 1) into 1
7.255 * [taylor]: Taking taylor expansion of (/ 1 im) in im
7.255 * [taylor]: Taking taylor expansion of im in im
7.255 * [backup-simplify]: Simplify 0 into 0
7.255 * [backup-simplify]: Simplify 1 into 1
7.256 * [backup-simplify]: Simplify (/ 1 1) into 1
7.256 * [backup-simplify]: Simplify (* 1 1) into 1
7.257 * [backup-simplify]: Simplify (+ 0 1) into 1
7.257 * [backup-simplify]: Simplify (sqrt 1) into 1
7.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.260 * [backup-simplify]: Simplify (+ 0 0) into 0
7.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.260 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.261 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.261 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.261 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.261 * [taylor]: Taking taylor expansion of re in re
7.261 * [backup-simplify]: Simplify 0 into 0
7.261 * [backup-simplify]: Simplify 1 into 1
7.261 * [backup-simplify]: Simplify (/ 1 1) into 1
7.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.261 * [taylor]: Taking taylor expansion of re in re
7.261 * [backup-simplify]: Simplify 0 into 0
7.261 * [backup-simplify]: Simplify 1 into 1
7.262 * [backup-simplify]: Simplify (/ 1 1) into 1
7.262 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.262 * [taylor]: Taking taylor expansion of im in re
7.262 * [backup-simplify]: Simplify im into im
7.262 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.262 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.262 * [taylor]: Taking taylor expansion of im in re
7.262 * [backup-simplify]: Simplify im into im
7.262 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.263 * [backup-simplify]: Simplify (* 1 1) into 1
7.263 * [backup-simplify]: Simplify (+ 1 0) into 1
7.263 * [backup-simplify]: Simplify (sqrt 1) into 1
7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.267 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
7.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
7.267 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
7.267 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
7.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.267 * [taylor]: Taking taylor expansion of re in re
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [backup-simplify]: Simplify (/ 1 1) into 1
7.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re
7.267 * [taylor]: Taking taylor expansion of re in re
7.268 * [backup-simplify]: Simplify 0 into 0
7.268 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (/ 1 1) into 1
7.268 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
7.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.268 * [taylor]: Taking taylor expansion of im in re
7.268 * [backup-simplify]: Simplify im into im
7.268 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.268 * [taylor]: Taking taylor expansion of (/ 1 im) in re
7.268 * [taylor]: Taking taylor expansion of im in re
7.268 * [backup-simplify]: Simplify im into im
7.268 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
7.269 * [backup-simplify]: Simplify (* 1 1) into 1
7.269 * [backup-simplify]: Simplify (+ 1 0) into 1
7.270 * [backup-simplify]: Simplify (sqrt 1) into 1
7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.272 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.273 * [taylor]: Taking taylor expansion of 1 in im
7.273 * [backup-simplify]: Simplify 1 into 1
7.273 * [taylor]: Taking taylor expansion of 0 in im
7.273 * [backup-simplify]: Simplify 0 into 0
7.273 * [backup-simplify]: Simplify 1 into 1
7.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.276 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
7.276 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.279 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.279 * [taylor]: Taking taylor expansion of 1/2 in im
7.279 * [backup-simplify]: Simplify 1/2 into 1/2
7.279 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.279 * [taylor]: Taking taylor expansion of im in im
7.279 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify 1 into 1
7.280 * [backup-simplify]: Simplify (* 1 1) into 1
7.280 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [backup-simplify]: Simplify 0 into 0
7.294 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
7.298 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
7.298 * [backup-simplify]: Simplify (+ 0 0) into 0
7.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.298 * [taylor]: Taking taylor expansion of 0 in im
7.298 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
7.300 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
7.300 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
7.300 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
7.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.300 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
7.300 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
7.300 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.300 * [taylor]: Taking taylor expansion of -1 in im
7.300 * [backup-simplify]: Simplify -1 into -1
7.300 * [taylor]: Taking taylor expansion of re in im
7.300 * [backup-simplify]: Simplify re into re
7.300 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.300 * [taylor]: Taking taylor expansion of (/ -1 re) in im
7.300 * [taylor]: Taking taylor expansion of -1 in im
7.300 * [backup-simplify]: Simplify -1 into -1
7.300 * [taylor]: Taking taylor expansion of re in im
7.300 * [backup-simplify]: Simplify re into re
7.300 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
7.300 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
7.300 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.300 * [taylor]: Taking taylor expansion of -1 in im
7.300 * [backup-simplify]: Simplify -1 into -1
7.300 * [taylor]: Taking taylor expansion of im in im
7.300 * [backup-simplify]: Simplify 0 into 0
7.300 * [backup-simplify]: Simplify 1 into 1
7.301 * [backup-simplify]: Simplify (/ -1 1) into -1
7.301 * [taylor]: Taking taylor expansion of (/ -1 im) in im
7.301 * [taylor]: Taking taylor expansion of -1 in im
7.301 * [backup-simplify]: Simplify -1 into -1
7.301 * [taylor]: Taking taylor expansion of im in im
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 1 into 1
7.301 * [backup-simplify]: Simplify (/ -1 1) into -1
7.302 * [backup-simplify]: Simplify (* -1 -1) into 1
7.302 * [backup-simplify]: Simplify (+ 0 1) into 1
7.302 * [backup-simplify]: Simplify (sqrt 1) into 1
7.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.308 * [backup-simplify]: Simplify (+ 0 0) into 0
7.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.309 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.309 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.309 * [taylor]: Taking taylor expansion of -1 in re
7.309 * [backup-simplify]: Simplify -1 into -1
7.309 * [taylor]: Taking taylor expansion of re in re
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 1 into 1
7.309 * [backup-simplify]: Simplify (/ -1 1) into -1
7.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.309 * [taylor]: Taking taylor expansion of -1 in re
7.309 * [backup-simplify]: Simplify -1 into -1
7.309 * [taylor]: Taking taylor expansion of re in re
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify 1 into 1
7.310 * [backup-simplify]: Simplify (/ -1 1) into -1
7.310 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.310 * [taylor]: Taking taylor expansion of -1 in re
7.310 * [backup-simplify]: Simplify -1 into -1
7.310 * [taylor]: Taking taylor expansion of im in re
7.310 * [backup-simplify]: Simplify im into im
7.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.310 * [taylor]: Taking taylor expansion of -1 in re
7.310 * [backup-simplify]: Simplify -1 into -1
7.310 * [taylor]: Taking taylor expansion of im in re
7.310 * [backup-simplify]: Simplify im into im
7.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.310 * [backup-simplify]: Simplify (* -1 -1) into 1
7.311 * [backup-simplify]: Simplify (+ 1 0) into 1
7.311 * [backup-simplify]: Simplify (sqrt 1) into 1
7.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.313 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.313 * [backup-simplify]: Simplify (+ 0 0) into 0
7.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.314 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
7.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
7.314 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
7.314 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
7.314 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.314 * [taylor]: Taking taylor expansion of -1 in re
7.314 * [backup-simplify]: Simplify -1 into -1
7.314 * [taylor]: Taking taylor expansion of re in re
7.314 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify 1 into 1
7.314 * [backup-simplify]: Simplify (/ -1 1) into -1
7.315 * [taylor]: Taking taylor expansion of (/ -1 re) in re
7.315 * [taylor]: Taking taylor expansion of -1 in re
7.315 * [backup-simplify]: Simplify -1 into -1
7.315 * [taylor]: Taking taylor expansion of re in re
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.315 * [backup-simplify]: Simplify (/ -1 1) into -1
7.315 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
7.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.315 * [taylor]: Taking taylor expansion of -1 in re
7.315 * [backup-simplify]: Simplify -1 into -1
7.315 * [taylor]: Taking taylor expansion of im in re
7.315 * [backup-simplify]: Simplify im into im
7.315 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.315 * [taylor]: Taking taylor expansion of (/ -1 im) in re
7.315 * [taylor]: Taking taylor expansion of -1 in re
7.315 * [backup-simplify]: Simplify -1 into -1
7.315 * [taylor]: Taking taylor expansion of im in re
7.315 * [backup-simplify]: Simplify im into im
7.315 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
7.315 * [backup-simplify]: Simplify (* -1 -1) into 1
7.316 * [backup-simplify]: Simplify (+ 1 0) into 1
7.316 * [backup-simplify]: Simplify (sqrt 1) into 1
7.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.318 * [backup-simplify]: Simplify (+ 0 0) into 0
7.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.318 * [taylor]: Taking taylor expansion of 1 in im
7.318 * [backup-simplify]: Simplify 1 into 1
7.318 * [taylor]: Taking taylor expansion of 0 in im
7.318 * [backup-simplify]: Simplify 0 into 0
7.318 * [backup-simplify]: Simplify 1 into 1
7.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.321 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
7.321 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
7.322 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
7.322 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
7.323 * [taylor]: Taking taylor expansion of 1/2 in im
7.323 * [backup-simplify]: Simplify 1/2 into 1/2
7.323 * [taylor]: Taking taylor expansion of (pow im 2) in im
7.323 * [taylor]: Taking taylor expansion of im in im
7.323 * [backup-simplify]: Simplify 0 into 0
7.323 * [backup-simplify]: Simplify 1 into 1
7.323 * [backup-simplify]: Simplify (* 1 1) into 1
7.323 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.328 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.328 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.328 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
7.328 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
7.329 * [backup-simplify]: Simplify (+ 0 0) into 0
7.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
7.329 * [taylor]: Taking taylor expansion of 0 in im
7.329 * [backup-simplify]: Simplify 0 into 0
7.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
7.331 * * * [progress]: simplifying candidates
7.333 * [simplify]: Simplifying:
  (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot re im) (hypot re im))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (hypot re im) (hypot re im))
  (+ 1 1)
  (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))
  (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))))
  (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (hypot re im) (hypot re im))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))
  (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 1 1)
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) (sqrt 1))
  (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))
  (* (sqrt (hypot re im)) 1)
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (hypot re im)) (sqrt (hypot re im)))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (+ (* re re) (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (* (hypot re im) (hypot re im)) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (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))
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
  im
  re
  (* -1 re)
7.335 * * [simplify]: iteration 0: 63 enodes
7.366 * * [simplify]: iteration 1: 118 enodes
7.437 * * [simplify]: iteration 2: 227 enodes
7.647 * * [simplify]: iteration 3: 605 enodes
9.316 * * [simplify]: iteration 4: 3310 enodes
13.015 * * [simplify]: iteration complete: 5001 enodes
13.016 * * [simplify]: Extracting #0: cost 22 inf + 0
13.017 * * [simplify]: Extracting #1: cost 305 inf + 4
13.052 * * [simplify]: Extracting #2: cost 867 inf + 2143
13.066 * * [simplify]: Extracting #3: cost 865 inf + 14635
13.113 * * [simplify]: Extracting #4: cost 458 inf + 114601
13.213 * * [simplify]: Extracting #5: cost 107 inf + 218678
13.330 * * [simplify]: Extracting #6: cost 1 inf + 252430
13.451 * * [simplify]: Extracting #7: cost 0 inf + 252729
13.567 * [simplify]: Simplified to:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  1
  1
  2
  1
  1
  (* (hypot re im) (hypot re im))
  (hypot re im)
  (* (hypot re im) (hypot re im))
  2
  (log (hypot re im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (* (hypot re im) (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  2
  1
  (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))))
  (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (sqrt (hypot re im))
  (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))
  (hypot re im)
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma im im (* re re))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  im
  re
  (- re)
  im
  re
  (- re)
  im
  re
  (- re)
13.572 * * * [progress]: adding candidates to table
14.050 * [progress]: [Phase 3 of 3] Extracting.
14.050 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>)
14.051 * * * [regime-changes]: Trying 2 branch expressions: (im re)
14.051 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>)
14.109 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (* (sqrt (hypot re im)) (sqrt (hypot re im))))>)
14.165 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
14.166 * [simplify]: Simplifying:
  (hypot re im)
14.166 * * [simplify]: iteration 0: 3 enodes
14.167 * * [simplify]: iteration complete: 3 enodes
14.167 * * [simplify]: Extracting #0: cost 1 inf + 0
14.167 * * [simplify]: Extracting #1: cost 3 inf + 0
14.167 * * [simplify]: Extracting #2: cost 0 inf + 59
14.167 * [simplify]: Simplified to:
  (hypot re im)
15.691 * [regime-testing]: Baseline error score: 0.004625578197274659
15.708 * [regime-testing]: Oracle error score: 0.003500437554694337
15.743 * [regime-testing]: End program error score: 0.004625578197274659