32.349 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.023 * * * [progress]: [2/2] Setting up program.
0.029 * [progress]: [Phase 2 of 3] Improving.
0.030 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.030 * * [simplify]: iteration 0: 6 enodes
0.032 * * [simplify]: iteration 1: 9 enodes
0.034 * * [simplify]: iteration 2: 10 enodes
0.037 * * [simplify]: iteration complete: 10 enodes
0.037 * * [simplify]: Extracting #0: cost 1 inf + 0
0.037 * * [simplify]: Extracting #1: cost 4 inf + 0
0.037 * * [simplify]: Extracting #2: cost 4 inf + 2
0.037 * * [simplify]: Extracting #3: cost 0 inf + 238
0.037 * [simplify]: Simplified to:
  (hypot re im)
0.046 * * [progress]: iteration 1 / 4
0.046 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (re im) (hypot re im))>
0.059 * * * [progress]: localizing error
0.067 * * * [progress]: generating rewritten candidates
0.067 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.068 * * * [progress]: generating series expansions
0.068 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.068 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.068 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.068 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.068 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.068 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.068 * [taylor]: Taking taylor expansion of (* re re) in im
0.068 * [taylor]: Taking taylor expansion of re in im
0.068 * [backup-simplify]: Simplify re into re
0.069 * [taylor]: Taking taylor expansion of re in im
0.069 * [backup-simplify]: Simplify re into re
0.069 * [taylor]: Taking taylor expansion of (* im im) in im
0.069 * [taylor]: Taking taylor expansion of im in im
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [taylor]: Taking taylor expansion of im in im
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.069 * [backup-simplify]: Simplify (* 0 0) into 0
0.070 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.070 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.070 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.071 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.071 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.071 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.071 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.071 * [taylor]: Taking taylor expansion of (* re re) in re
0.071 * [taylor]: Taking taylor expansion of re in re
0.071 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [taylor]: Taking taylor expansion of re in re
0.072 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify 1 into 1
0.072 * [taylor]: Taking taylor expansion of (* im im) in re
0.072 * [taylor]: Taking taylor expansion of im in re
0.072 * [backup-simplify]: Simplify im into im
0.072 * [taylor]: Taking taylor expansion of im in re
0.072 * [backup-simplify]: Simplify im into im
0.072 * [backup-simplify]: Simplify (* 0 0) into 0
0.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.073 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.074 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.074 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.074 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.074 * [taylor]: Taking taylor expansion of (* re re) in re
0.074 * [taylor]: Taking taylor expansion of re in re
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of re in re
0.074 * [backup-simplify]: Simplify 0 into 0
0.074 * [backup-simplify]: Simplify 1 into 1
0.074 * [taylor]: Taking taylor expansion of (* im im) in re
0.074 * [taylor]: Taking taylor expansion of im in re
0.074 * [backup-simplify]: Simplify im into im
0.074 * [taylor]: Taking taylor expansion of im in re
0.074 * [backup-simplify]: Simplify im into im
0.075 * [backup-simplify]: Simplify (* 0 0) into 0
0.075 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.075 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.075 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.076 * [taylor]: Taking taylor expansion of im in im
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [taylor]: Taking taylor expansion of 0 in im
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.078 * [backup-simplify]: Simplify (+ 1 0) into 1
0.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.079 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.079 * [taylor]: Taking taylor expansion of 1/2 in im
0.079 * [backup-simplify]: Simplify 1/2 into 1/2
0.079 * [taylor]: Taking taylor expansion of im in im
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.082 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.083 * [taylor]: Taking taylor expansion of 0 in im
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.084 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.084 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.084 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.084 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.084 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.084 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.084 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.084 * [taylor]: Taking taylor expansion of re in im
0.084 * [backup-simplify]: Simplify re into re
0.085 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.085 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.085 * [taylor]: Taking taylor expansion of re in im
0.085 * [backup-simplify]: Simplify re into re
0.085 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.085 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.085 * [taylor]: Taking taylor expansion of im in im
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.085 * [backup-simplify]: Simplify (/ 1 1) into 1
0.085 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.085 * [taylor]: Taking taylor expansion of im in im
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify (+ 0 1) into 1
0.087 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.091 * [taylor]: Taking taylor expansion of re in re
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.091 * [taylor]: Taking taylor expansion of re in re
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.091 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.091 * [taylor]: Taking taylor expansion of im in re
0.092 * [backup-simplify]: Simplify im into im
0.092 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.092 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.092 * [taylor]: Taking taylor expansion of im in re
0.092 * [backup-simplify]: Simplify im into im
0.092 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.092 * [backup-simplify]: Simplify (* 1 1) into 1
0.093 * [backup-simplify]: Simplify (+ 1 0) into 1
0.093 * [backup-simplify]: Simplify (sqrt 1) into 1
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.096 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.096 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.096 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.096 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.096 * [taylor]: Taking taylor expansion of re in re
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.097 * [taylor]: Taking taylor expansion of re in re
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.097 * [taylor]: Taking taylor expansion of im in re
0.097 * [backup-simplify]: Simplify im into im
0.097 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.097 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.097 * [taylor]: Taking taylor expansion of im in re
0.097 * [backup-simplify]: Simplify im into im
0.098 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.098 * [backup-simplify]: Simplify (* 1 1) into 1
0.098 * [backup-simplify]: Simplify (+ 1 0) into 1
0.099 * [backup-simplify]: Simplify (sqrt 1) into 1
0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.101 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.102 * [taylor]: Taking taylor expansion of 1 in im
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [taylor]: Taking taylor expansion of 0 in im
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.105 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.105 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.107 * [taylor]: Taking taylor expansion of 1/2 in im
0.107 * [backup-simplify]: Simplify 1/2 into 1/2
0.107 * [taylor]: Taking taylor expansion of (pow im 2) in im
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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 0 into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.122 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.123 * [taylor]: Taking taylor expansion of 0 in im
0.123 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.126 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.126 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.126 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.126 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.126 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.127 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.127 * [taylor]: Taking taylor expansion of -1 in im
0.127 * [backup-simplify]: Simplify -1 into -1
0.127 * [taylor]: Taking taylor expansion of re in im
0.127 * [backup-simplify]: Simplify re into re
0.127 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.127 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.127 * [taylor]: Taking taylor expansion of -1 in im
0.127 * [backup-simplify]: Simplify -1 into -1
0.127 * [taylor]: Taking taylor expansion of re in im
0.127 * [backup-simplify]: Simplify re into re
0.127 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.127 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.127 * [taylor]: Taking taylor expansion of -1 in im
0.127 * [backup-simplify]: Simplify -1 into -1
0.127 * [taylor]: Taking taylor expansion of im in im
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ -1 1) into -1
0.128 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.128 * [taylor]: Taking taylor expansion of -1 in im
0.128 * [backup-simplify]: Simplify -1 into -1
0.128 * [taylor]: Taking taylor expansion of im in im
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (/ -1 1) into -1
0.129 * [backup-simplify]: Simplify (* -1 -1) into 1
0.129 * [backup-simplify]: Simplify (+ 0 1) into 1
0.129 * [backup-simplify]: Simplify (sqrt 1) into 1
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.131 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.131 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.131 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.131 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.132 * [taylor]: Taking taylor expansion of -1 in re
0.132 * [backup-simplify]: Simplify -1 into -1
0.132 * [taylor]: Taking taylor expansion of re in re
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (/ -1 1) into -1
0.132 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.132 * [taylor]: Taking taylor expansion of -1 in re
0.132 * [backup-simplify]: Simplify -1 into -1
0.132 * [taylor]: Taking taylor expansion of re in re
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (/ -1 1) into -1
0.132 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.132 * [taylor]: Taking taylor expansion of -1 in re
0.132 * [backup-simplify]: Simplify -1 into -1
0.132 * [taylor]: Taking taylor expansion of im in re
0.132 * [backup-simplify]: Simplify im into im
0.132 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.132 * [taylor]: Taking taylor expansion of -1 in re
0.132 * [backup-simplify]: Simplify -1 into -1
0.132 * [taylor]: Taking taylor expansion of im in re
0.132 * [backup-simplify]: Simplify im into im
0.132 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.133 * [backup-simplify]: Simplify (* -1 -1) into 1
0.133 * [backup-simplify]: Simplify (+ 1 0) into 1
0.133 * [backup-simplify]: Simplify (sqrt 1) into 1
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.135 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.135 * [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
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (/ -1 1) into -1
0.136 * [taylor]: Taking taylor expansion of (/ -1 re) 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 re in re
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [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)
0.137 * [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
0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.139 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.139 * [taylor]: Taking taylor expansion of 1 in im
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [taylor]: Taking taylor expansion of 0 in im
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.141 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.141 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.142 * [taylor]: Taking taylor expansion of 1/2 in im
0.142 * [backup-simplify]: Simplify 1/2 into 1/2
0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.142 * [taylor]: Taking taylor expansion of im in im
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
0.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 0 into 0
0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.146 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.146 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.146 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.146 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.147 * [taylor]: Taking taylor expansion of 0 in im
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.148 * * * [progress]: simplifying candidates
0.148 * [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)
0.148 * * [simplify]: iteration 0: 17 enodes
0.151 * * [simplify]: iteration 1: 22 enodes
0.154 * * [simplify]: iteration 2: 25 enodes
0.158 * * [simplify]: iteration 3: 30 enodes
0.167 * * [simplify]: iteration 4: 38 enodes
0.181 * * [simplify]: iteration 5: 57 enodes
0.199 * * [simplify]: iteration 6: 87 enodes
0.227 * * [simplify]: iteration 7: 162 enodes
0.302 * * [simplify]: iteration 8: 391 enodes
0.713 * * [simplify]: iteration 9: 1293 enodes
2.313 * * [simplify]: iteration complete: 5000 enodes
2.314 * * [simplify]: Extracting #0: cost 12 inf + 0
2.314 * * [simplify]: Extracting #1: cost 222 inf + 2
2.319 * * [simplify]: Extracting #2: cost 1330 inf + 1456
2.325 * * [simplify]: Extracting #3: cost 1439 inf + 3527
2.334 * * [simplify]: Extracting #4: cost 1362 inf + 67023
2.666 * * [simplify]: Extracting #5: cost 486 inf + 840949
2.770 * * [simplify]: Extracting #6: cost 3 inf + 1319123
2.877 * * [simplify]: Extracting #7: cost 0 inf + 1315350
3.016 * * [simplify]: Extracting #8: cost 0 inf + 1315179
3.150 * [simplify]: Simplified to:
  (expm1 (hypot re im))
  (log1p (hypot re im))
  (fma re re (* im im))
  (log (hypot re im))
  (exp (hypot re im))
  (* (cbrt (hypot re im)) (cbrt (hypot re im)))
  (cbrt (hypot re im))
  (* (hypot re im) (* (hypot re im) (hypot re im)))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  im
  re
  (- re)
3.150 * * * [progress]: adding candidates to table
3.216 * * [progress]: iteration 2 / 4
3.216 * * * [progress]: picking best candidate
3.219 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
3.219 * * * [progress]: localizing error
3.235 * * * [progress]: generating rewritten candidates
3.235 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
3.246 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
3.255 * * * [progress]: generating series expansions
3.256 * * * * [progress]: [ 1 / 2 ] generating series at (2)
3.256 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2)))
3.256 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0
3.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im
3.256 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.256 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.256 * [taylor]: Taking taylor expansion of im in im
3.256 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify 1 into 1
3.256 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.256 * [taylor]: Taking taylor expansion of re in im
3.256 * [backup-simplify]: Simplify re into re
3.256 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.256 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2)
3.256 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
3.256 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
3.257 * [backup-simplify]: Simplify (+ 0 0) into 0
3.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
3.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.257 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.257 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.257 * [taylor]: Taking taylor expansion of im in re
3.257 * [backup-simplify]: Simplify im into im
3.257 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.257 * [taylor]: Taking taylor expansion of re in re
3.257 * [backup-simplify]: Simplify 0 into 0
3.257 * [backup-simplify]: Simplify 1 into 1
3.257 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.257 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.257 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re
3.258 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.258 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.258 * [taylor]: Taking taylor expansion of im in re
3.258 * [backup-simplify]: Simplify im into im
3.258 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.258 * [taylor]: Taking taylor expansion of re in re
3.258 * [backup-simplify]: Simplify 0 into 0
3.258 * [backup-simplify]: Simplify 1 into 1
3.258 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.258 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
3.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.258 * [backup-simplify]: Simplify (+ 0 0) into 0
3.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
3.259 * [taylor]: Taking taylor expansion of im in im
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [taylor]: Taking taylor expansion of 0 in im
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 0 into 0
3.259 * [backup-simplify]: Simplify 1 into 1
3.259 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.259 * [backup-simplify]: Simplify (* 1 1) into 1
3.260 * [backup-simplify]: Simplify (+ 0 1) into 1
3.260 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
3.260 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
3.260 * [taylor]: Taking taylor expansion of 1/2 in im
3.260 * [backup-simplify]: Simplify 1/2 into 1/2
3.260 * [taylor]: Taking taylor expansion of im in im
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.261 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.262 * [backup-simplify]: Simplify (+ 0 0) into 0
3.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
3.262 * [taylor]: Taking taylor expansion of 0 in im
3.262 * [backup-simplify]: Simplify 0 into 0
3.262 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify 0 into 0
3.263 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
3.263 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.263 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.263 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.263 * [taylor]: Taking taylor expansion of re in im
3.263 * [backup-simplify]: Simplify re into re
3.263 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.264 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.264 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.264 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.264 * [taylor]: Taking taylor expansion of im in im
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 1 into 1
3.264 * [backup-simplify]: Simplify (* 1 1) into 1
3.264 * [backup-simplify]: Simplify (/ 1 1) into 1
3.264 * [backup-simplify]: Simplify (+ 0 1) into 1
3.265 * [backup-simplify]: Simplify (sqrt 1) into 1
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.266 * [backup-simplify]: Simplify (+ 0 0) into 0
3.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.266 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.266 * [taylor]: Taking taylor expansion of re in re
3.266 * [backup-simplify]: Simplify 0 into 0
3.266 * [backup-simplify]: Simplify 1 into 1
3.266 * [backup-simplify]: Simplify (* 1 1) into 1
3.267 * [backup-simplify]: Simplify (/ 1 1) into 1
3.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.267 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.267 * [taylor]: Taking taylor expansion of im in re
3.267 * [backup-simplify]: Simplify im into im
3.267 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.267 * [backup-simplify]: Simplify (+ 1 0) into 1
3.267 * [backup-simplify]: Simplify (sqrt 1) into 1
3.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (+ 0 0) into 0
3.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.269 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.269 * [taylor]: Taking taylor expansion of re in re
3.269 * [backup-simplify]: Simplify 0 into 0
3.269 * [backup-simplify]: Simplify 1 into 1
3.269 * [backup-simplify]: Simplify (* 1 1) into 1
3.270 * [backup-simplify]: Simplify (/ 1 1) into 1
3.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.270 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.270 * [taylor]: Taking taylor expansion of im in re
3.270 * [backup-simplify]: Simplify im into im
3.270 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.271 * [backup-simplify]: Simplify (+ 1 0) into 1
3.271 * [backup-simplify]: Simplify (sqrt 1) into 1
3.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.273 * [backup-simplify]: Simplify (+ 0 0) into 0
3.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.273 * [taylor]: Taking taylor expansion of 1 in im
3.273 * [backup-simplify]: Simplify 1 into 1
3.274 * [taylor]: Taking taylor expansion of 0 in im
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.276 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.277 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.277 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.277 * [taylor]: Taking taylor expansion of 1/2 in im
3.277 * [backup-simplify]: Simplify 1/2 into 1/2
3.277 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.277 * [taylor]: Taking taylor expansion of im in im
3.277 * [backup-simplify]: Simplify 0 into 0
3.277 * [backup-simplify]: Simplify 1 into 1
3.278 * [backup-simplify]: Simplify (* 1 1) into 1
3.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.279 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.280 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.282 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.283 * [backup-simplify]: Simplify (+ 0 0) into 0
3.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.283 * [taylor]: Taking taylor expansion of 0 in im
3.283 * [backup-simplify]: Simplify 0 into 0
3.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
3.286 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))
3.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0
3.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im
3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.286 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.286 * [taylor]: Taking taylor expansion of re in im
3.286 * [backup-simplify]: Simplify re into re
3.286 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.287 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.287 * [taylor]: Taking taylor expansion of im in im
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify (* 1 1) into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.288 * [backup-simplify]: Simplify (+ 0 1) into 1
3.288 * [backup-simplify]: Simplify (sqrt 1) into 1
3.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.290 * [backup-simplify]: Simplify (+ 0 0) into 0
3.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.291 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.291 * [taylor]: Taking taylor expansion of re in re
3.291 * [backup-simplify]: Simplify 0 into 0
3.291 * [backup-simplify]: Simplify 1 into 1
3.291 * [backup-simplify]: Simplify (* 1 1) into 1
3.292 * [backup-simplify]: Simplify (/ 1 1) into 1
3.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.292 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.292 * [taylor]: Taking taylor expansion of im in re
3.292 * [backup-simplify]: Simplify im into im
3.292 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.293 * [backup-simplify]: Simplify (+ 1 0) into 1
3.293 * [backup-simplify]: Simplify (sqrt 1) into 1
3.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.295 * [backup-simplify]: Simplify (+ 0 0) into 0
3.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re
3.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.296 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.296 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.296 * [taylor]: Taking taylor expansion of re in re
3.296 * [backup-simplify]: Simplify 0 into 0
3.296 * [backup-simplify]: Simplify 1 into 1
3.296 * [backup-simplify]: Simplify (* 1 1) into 1
3.297 * [backup-simplify]: Simplify (/ 1 1) into 1
3.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.297 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.297 * [taylor]: Taking taylor expansion of im in re
3.297 * [backup-simplify]: Simplify im into im
3.297 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.297 * [backup-simplify]: Simplify (+ 1 0) into 1
3.298 * [backup-simplify]: Simplify (sqrt 1) into 1
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (+ 0 0) into 0
3.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.300 * [taylor]: Taking taylor expansion of 1 in im
3.300 * [backup-simplify]: Simplify 1 into 1
3.300 * [taylor]: Taking taylor expansion of 0 in im
3.300 * [backup-simplify]: Simplify 0 into 0
3.301 * [backup-simplify]: Simplify 1 into 1
3.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.305 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.306 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
3.306 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
3.307 * [taylor]: Taking taylor expansion of 1/2 in im
3.307 * [backup-simplify]: Simplify 1/2 into 1/2
3.307 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.307 * [taylor]: Taking taylor expansion of im in im
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.309 * [backup-simplify]: Simplify 0 into 0
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.311 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.312 * [backup-simplify]: Simplify (+ 0 0) into 0
3.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
3.313 * [taylor]: Taking taylor expansion of 0 in im
3.313 * [backup-simplify]: Simplify 0 into 0
3.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
3.315 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
3.315 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2))
3.315 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0
3.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im
3.315 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.315 * [taylor]: Taking taylor expansion of im in im
3.315 * [backup-simplify]: Simplify 0 into 0
3.315 * [backup-simplify]: Simplify 1 into 1
3.315 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.315 * [taylor]: Taking taylor expansion of re in im
3.315 * [backup-simplify]: Simplify re into re
3.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.315 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.316 * [taylor]: Taking taylor expansion of im in re
3.316 * [backup-simplify]: Simplify im into im
3.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.316 * [taylor]: Taking taylor expansion of re in re
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re
3.316 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.316 * [taylor]: Taking taylor expansion of im in re
3.316 * [backup-simplify]: Simplify im into im
3.316 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.316 * [taylor]: Taking taylor expansion of re in re
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2)
3.316 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.316 * [taylor]: Taking taylor expansion of im in im
3.316 * [backup-simplify]: Simplify 0 into 0
3.316 * [backup-simplify]: Simplify 1 into 1
3.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [taylor]: Taking taylor expansion of 0 in im
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.318 * [backup-simplify]: Simplify (* 1 1) into 1
3.318 * [backup-simplify]: Simplify (+ 0 1) into 1
3.318 * [taylor]: Taking taylor expansion of 1 in im
3.318 * [backup-simplify]: Simplify 1 into 1
3.318 * [backup-simplify]: Simplify 1 into 1
3.318 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify (* 1 1) into 1
3.319 * [backup-simplify]: Simplify 1 into 1
3.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
3.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.320 * [backup-simplify]: Simplify (+ 0 0) into 0
3.320 * [taylor]: Taking taylor expansion of 0 in im
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify 0 into 0
3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.321 * [backup-simplify]: Simplify 0 into 0
3.322 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0
3.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.323 * [backup-simplify]: Simplify (+ 0 0) into 0
3.323 * [taylor]: Taking taylor expansion of 0 in im
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2))
3.323 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
3.323 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
3.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.323 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.323 * [taylor]: Taking taylor expansion of re in im
3.323 * [backup-simplify]: Simplify re into re
3.323 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.324 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.324 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.324 * [taylor]: Taking taylor expansion of im in im
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* 1 1) into 1
3.324 * [backup-simplify]: Simplify (/ 1 1) into 1
3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.324 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.324 * [taylor]: Taking taylor expansion of re in re
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 1 into 1
3.324 * [backup-simplify]: Simplify (* 1 1) into 1
3.325 * [backup-simplify]: Simplify (/ 1 1) into 1
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.325 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.325 * [taylor]: Taking taylor expansion of im in re
3.325 * [backup-simplify]: Simplify im into im
3.325 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.325 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.325 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.325 * [taylor]: Taking taylor expansion of re in re
3.325 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify 1 into 1
3.325 * [backup-simplify]: Simplify (* 1 1) into 1
3.325 * [backup-simplify]: Simplify (/ 1 1) into 1
3.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.325 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.325 * [taylor]: Taking taylor expansion of im in re
3.325 * [backup-simplify]: Simplify im into im
3.326 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.326 * [backup-simplify]: Simplify (+ 1 0) into 1
3.326 * [taylor]: Taking taylor expansion of 1 in im
3.326 * [backup-simplify]: Simplify 1 into 1
3.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.327 * [backup-simplify]: Simplify (+ 0 0) into 0
3.327 * [taylor]: Taking taylor expansion of 0 in im
3.327 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.328 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.328 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.328 * [taylor]: Taking taylor expansion of im in im
3.328 * [backup-simplify]: Simplify 0 into 0
3.328 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (* 1 1) into 1
3.329 * [backup-simplify]: Simplify (/ 1 1) into 1
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify 1 into 1
3.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.330 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.330 * [backup-simplify]: Simplify (+ 0 0) into 0
3.330 * [taylor]: Taking taylor expansion of 0 in im
3.330 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.331 * [backup-simplify]: Simplify 0 into 0
3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.333 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.333 * [backup-simplify]: Simplify (+ 0 0) into 0
3.333 * [taylor]: Taking taylor expansion of 0 in im
3.333 * [backup-simplify]: Simplify 0 into 0
3.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.334 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2))
3.335 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))
3.335 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0
3.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im
3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
3.335 * [taylor]: Taking taylor expansion of (pow re 2) in im
3.335 * [taylor]: Taking taylor expansion of re in im
3.335 * [backup-simplify]: Simplify re into re
3.335 * [backup-simplify]: Simplify (* re re) into (pow re 2)
3.335 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
3.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.335 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.335 * [taylor]: Taking taylor expansion of im in im
3.335 * [backup-simplify]: Simplify 0 into 0
3.335 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (* 1 1) into 1
3.336 * [backup-simplify]: Simplify (/ 1 1) into 1
3.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.336 * [taylor]: Taking taylor expansion of re in re
3.336 * [backup-simplify]: Simplify 0 into 0
3.336 * [backup-simplify]: Simplify 1 into 1
3.336 * [backup-simplify]: Simplify (* 1 1) into 1
3.336 * [backup-simplify]: Simplify (/ 1 1) into 1
3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.336 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.336 * [taylor]: Taking taylor expansion of im in re
3.336 * [backup-simplify]: Simplify im into im
3.336 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re
3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
3.337 * [taylor]: Taking taylor expansion of (pow re 2) in re
3.337 * [taylor]: Taking taylor expansion of re in re
3.337 * [backup-simplify]: Simplify 0 into 0
3.337 * [backup-simplify]: Simplify 1 into 1
3.337 * [backup-simplify]: Simplify (* 1 1) into 1
3.337 * [backup-simplify]: Simplify (/ 1 1) into 1
3.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
3.337 * [taylor]: Taking taylor expansion of (pow im 2) in re
3.337 * [taylor]: Taking taylor expansion of im in re
3.337 * [backup-simplify]: Simplify im into im
3.337 * [backup-simplify]: Simplify (* im im) into (pow im 2)
3.337 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
3.338 * [backup-simplify]: Simplify (+ 1 0) into 1
3.338 * [taylor]: Taking taylor expansion of 1 in im
3.338 * [backup-simplify]: Simplify 1 into 1
3.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.339 * [backup-simplify]: Simplify (+ 0 0) into 0
3.339 * [taylor]: Taking taylor expansion of 0 in im
3.339 * [backup-simplify]: Simplify 0 into 0
3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.340 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
3.340 * [taylor]: Taking taylor expansion of (pow im 2) in im
3.340 * [taylor]: Taking taylor expansion of im in im
3.340 * [backup-simplify]: Simplify 0 into 0
3.340 * [backup-simplify]: Simplify 1 into 1
3.340 * [backup-simplify]: Simplify (* 1 1) into 1
3.341 * [backup-simplify]: Simplify (/ 1 1) into 1
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [backup-simplify]: Simplify 1 into 1
3.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
3.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
3.342 * [backup-simplify]: Simplify (+ 0 0) into 0
3.342 * [taylor]: Taking taylor expansion of 0 in im
3.342 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 0 into 0
3.343 * [backup-simplify]: Simplify 0 into 0
3.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.345 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
3.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0
3.345 * [backup-simplify]: Simplify (+ 0 0) into 0
3.345 * [taylor]: Taking taylor expansion of 0 in im
3.345 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.346 * [backup-simplify]: Simplify 0 into 0
3.347 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2))
3.347 * * * [progress]: simplifying candidates
3.347 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* re re) (* im im))))
  (log1p (sqrt (+ (* re re) (* im im))))
  (log (sqrt (+ (* re re) (* im im))))
  (exp (sqrt (+ (* re re) (* im im))))
  (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))
  (cbrt (sqrt (+ (* re re) (* im im))))
  (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))))
  (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
  (sqrt (cbrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt 1)
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
  (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))
  (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
  (sqrt (- (* re re) (* im im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* re re) (* im im))))
  (sqrt (sqrt (+ (* re re) (* im im))))
  (expm1 (+ (* re re) (* im im)))
  (log1p (+ (* re re) (* im im)))
  (* (exp (* re re)) (exp (* im im)))
  (log (+ (* re re) (* im im)))
  (exp (+ (* re re) (* im im)))
  (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))
  (cbrt (+ (* re re) (* im im)))
  (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (sqrt (+ (* re re) (* im im)))
  (+ (pow (* re re) 3) (pow (* im im) 3))
  (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))
  (- (* (* re re) (* re re)) (* (* im im) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (* -1 re)
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
  (+ (pow im 2) (pow re 2))
3.348 * * [simplify]: iteration 0: 52 enodes
3.359 * * [simplify]: iteration 1: 136 enodes
3.413 * * [simplify]: iteration 2: 394 enodes
3.659 * * [simplify]: iteration 3: 1625 enodes
5.092 * * [simplify]: iteration complete: 5003 enodes
5.092 * * [simplify]: Extracting #0: cost 32 inf + 0
5.094 * * [simplify]: Extracting #1: cost 376 inf + 188
5.113 * * [simplify]: Extracting #2: cost 1084 inf + 16021
5.158 * * [simplify]: Extracting #3: cost 377 inf + 130203
5.230 * * [simplify]: Extracting #4: cost 64 inf + 199361
5.311 * * [simplify]: Extracting #5: cost 29 inf + 207319
5.373 * * [simplify]: Extracting #6: cost 3 inf + 212823
5.433 * * [simplify]: Extracting #7: cost 0 inf + 213702
5.485 * [simplify]: Simplified to:
  (expm1 (hypot re im))
  (log1p (hypot re 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))
  (fabs (cbrt (* (hypot re im) (hypot re im))))
  (sqrt (cbrt (* (hypot re im) (hypot re im))))
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  1
  (hypot re im)
  (hypot (* (* im im) im) (* (* re re) re))
  (sqrt (fma (* re re) (* re re) (* (* im im) (- (* im im) (* re re)))))
  (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))
  (sqrt (- (* re re) (* im im)))
  1/2
  (sqrt (hypot re im))
  (sqrt (hypot re im))
  (expm1 (* (hypot re im) (hypot re im)))
  (log1p (* (hypot re im) (hypot re im)))
  (exp (* (hypot re im) (hypot re im)))
  (+ (log (hypot re im)) (log (hypot re im)))
  (exp (* (hypot re im) (hypot re im)))
  (* (cbrt (* (hypot re im) (hypot re im))) (cbrt (* (hypot re im) (hypot re im))))
  (cbrt (* (hypot re im) (hypot re im)))
  (* (* (hypot re im) (hypot re im)) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))))
  (hypot re im)
  (hypot re im)
  (fma (* (* re re) re) (* (* re re) re) (* (* (* im im) im) (* (* im im) im)))
  (fma (* re re) (* re re) (* (* im im) (- (* im im) (* re re))))
  (* (+ (* re re) (* im im)) (- (* re re) (* im im)))
  (- (* re re) (* im im))
  im
  re
  (- re)
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
  (* (hypot re im) (hypot re im))
5.486 * * * [progress]: adding candidates to table
5.617 * [progress]: [Phase 3 of 3] Extracting.
5.617 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.618 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
5.618 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.662 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.705 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.744 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.772 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.810 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (hypot re im))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
5.843 * * * [regime]: Found split indices: #<option (#s(si 0 255))>
5.843 * [simplify]: Simplifying:
  (hypot re im)
5.843 * * [simplify]: iteration 0: 3 enodes
5.843 * * [simplify]: iteration complete: 3 enodes
5.843 * * [simplify]: Extracting #0: cost 1 inf + 0
5.843 * * [simplify]: Extracting #1: cost 3 inf + 0
5.843 * * [simplify]: Extracting #2: cost 1 inf + 2
5.843 * * [simplify]: Extracting #3: cost 0 inf + 59
5.843 * [simplify]: Simplified to:
  (hypot re im)
6.812 * [regime-testing]: Baseline error score: 0.0037504688086010753
6.823 * [regime-testing]: Oracle error score: 0.003375421927740968
6.858 * [regime-testing]: End program error score: 0.0037504688086010753