18.900 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.017 * * * [progress]: [2/2] Setting up program.
0.020 * [progress]: [Phase 2 of 3] Improving.
0.020 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.020 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) (* h0 h0)))
0.034 * * [progress]: iteration 1 / 4
0.034 * * * [progress]: picking best candidate
0.036 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.036 * * * [progress]: localizing error
0.044 * * * [progress]: generating rewritten candidates
0.044 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.053 * * * [progress]: generating series expansions
0.053 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.053 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.053 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.053 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.053 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.053 * [taylor]: Taking taylor expansion of re in im
0.053 * [backup-simplify]: Simplify re into re
0.053 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.053 * [taylor]: Taking taylor expansion of im in im
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 1 into 1
0.053 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.053 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.053 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.053 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.054 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.054 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.054 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.054 * [taylor]: Taking taylor expansion of re in re
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 1 into 1
0.054 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.054 * [taylor]: Taking taylor expansion of im in re
0.054 * [backup-simplify]: Simplify im into im
0.054 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.054 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.054 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.055 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.055 * [taylor]: Taking taylor expansion of re in re
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.055 * [taylor]: Taking taylor expansion of im in re
0.055 * [backup-simplify]: Simplify im into im
0.055 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.055 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.055 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.055 * [backup-simplify]: Simplify (+ 0 0) into 0
0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.056 * [taylor]: Taking taylor expansion of im in im
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [taylor]: Taking taylor expansion of 0 in im
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 1 into 1
0.056 * [backup-simplify]: Simplify (* 1 1) into 1
0.056 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.056 * [backup-simplify]: Simplify (+ 1 0) into 1
0.057 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.057 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.057 * [taylor]: Taking taylor expansion of 1/2 in im
0.057 * [backup-simplify]: Simplify 1/2 into 1/2
0.057 * [taylor]: Taking taylor expansion of im in im
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.059 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.059 * [taylor]: Taking taylor expansion of 0 in im
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.060 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.060 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.060 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.060 * [taylor]: Taking taylor expansion of im in im
0.060 * [backup-simplify]: Simplify 0 into 0
0.060 * [backup-simplify]: Simplify 1 into 1
0.060 * [backup-simplify]: Simplify (* 1 1) into 1
0.061 * [backup-simplify]: Simplify (/ 1 1) into 1
0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.061 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.061 * [taylor]: Taking taylor expansion of re in im
0.061 * [backup-simplify]: Simplify re into re
0.061 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.061 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.061 * [backup-simplify]: Simplify (+ 1 0) into 1
0.061 * [backup-simplify]: Simplify (sqrt 1) into 1
0.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.063 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.063 * [taylor]: Taking taylor expansion of im in re
0.063 * [backup-simplify]: Simplify im into im
0.063 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.063 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.063 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.063 * [taylor]: Taking taylor expansion of re in re
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (* 1 1) into 1
0.064 * [backup-simplify]: Simplify (/ 1 1) into 1
0.064 * [backup-simplify]: Simplify (+ 0 1) into 1
0.064 * [backup-simplify]: Simplify (sqrt 1) into 1
0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.066 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.066 * [taylor]: Taking taylor expansion of im in re
0.066 * [backup-simplify]: Simplify im into im
0.066 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.066 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.066 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.066 * [taylor]: Taking taylor expansion of re in re
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (* 1 1) into 1
0.066 * [backup-simplify]: Simplify (/ 1 1) into 1
0.067 * [backup-simplify]: Simplify (+ 0 1) into 1
0.067 * [backup-simplify]: Simplify (sqrt 1) into 1
0.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.068 * [backup-simplify]: Simplify (+ 0 0) into 0
0.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.068 * [taylor]: Taking taylor expansion of 1 in im
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [taylor]: Taking taylor expansion of 0 in im
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.070 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.070 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.070 * [taylor]: Taking taylor expansion of 1/2 in im
0.070 * [backup-simplify]: Simplify 1/2 into 1/2
0.070 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.071 * [taylor]: Taking taylor expansion of im in im
0.071 * [backup-simplify]: Simplify 0 into 0
0.071 * [backup-simplify]: Simplify 1 into 1
0.071 * [backup-simplify]: Simplify (* 1 1) into 1
0.071 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
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
0.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.074 * [backup-simplify]: Simplify (+ 0 0) into 0
0.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.075 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.075 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im
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 (* 1 1) into 1
0.076 * [backup-simplify]: Simplify (/ 1 1) into 1
0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.076 * [taylor]: Taking taylor expansion of (pow re 2) 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 (* re re) into (pow re 2)
0.076 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.077 * [backup-simplify]: Simplify (+ 1 0) into 1
0.077 * [backup-simplify]: Simplify (sqrt 1) into 1
0.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.078 * [taylor]: Taking taylor expansion of im in re
0.078 * [backup-simplify]: Simplify im into im
0.078 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.078 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.079 * [taylor]: Taking taylor expansion of re in re
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [backup-simplify]: Simplify (+ 0 1) into 1
0.079 * [backup-simplify]: Simplify (sqrt 1) into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.081 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.081 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.081 * [taylor]: Taking taylor expansion of im in re
0.081 * [backup-simplify]: Simplify im into im
0.081 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.081 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.081 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.081 * [taylor]: Taking taylor expansion of re in re
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [backup-simplify]: Simplify (* 1 1) into 1
0.082 * [backup-simplify]: Simplify (/ 1 1) into 1
0.082 * [backup-simplify]: Simplify (+ 0 1) into 1
0.082 * [backup-simplify]: Simplify (sqrt 1) into 1
0.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.084 * [taylor]: Taking taylor expansion of 1 in im
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of 0 in im
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.086 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.086 * [taylor]: Taking taylor expansion of 1/2 in im
0.086 * [backup-simplify]: Simplify 1/2 into 1/2
0.086 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.086 * [taylor]: Taking taylor expansion of im in im
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* 1 1) into 1
0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.090 * [taylor]: Taking taylor expansion of 0 in im
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify 0 into 0
0.091 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.091 * * * [progress]: simplifying candidates
0.091 * [simplify]: Simplifying:
  (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))))
  im
  re
  (* -1 re)
0.091 * [simplify]: Sending expressions to egg_math:
 (log (sqrt (+ (* h1 h1) (* h0 h0))))
 (exp (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))
 (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))
 (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt 1)
 (sqrt (+ (* h1 h1) (* h0 h0)))
 (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))
 (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))))
 (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))
 (sqrt (- (* h1 h1) (* h0 h0)))
 (/ 1 2)
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))
 h0
 h1
 (* -1 h1)
2.210 * * * [progress]: adding candidates to table
2.283 * * [progress]: iteration 2 / 4
2.283 * * * [progress]: picking best candidate
2.286 * * * * [pick]: Picked  #<alt (λ (re im) im)>
2.286 * * * [progress]: localizing error
2.287 * * * [progress]: generating rewritten candidates
2.287 * * * [progress]: generating series expansions
2.287 * * * [progress]: simplifying candidates
2.287 * [simplify]: Simplifying:
  
2.287 * [simplify]: Sending expressions to egg_math:
 
2.301 * * * [progress]: adding candidates to table
2.302 * * [progress]: iteration 3 / 4
2.302 * * * [progress]: picking best candidate
2.305 * * * * [pick]: Picked  #<alt (λ (re im) (* -1 re))>
2.305 * * * [progress]: localizing error
2.309 * * * [progress]: generating rewritten candidates
2.309 * * * [progress]: generating series expansions
2.309 * * * [progress]: simplifying candidates
2.309 * [simplify]: Simplifying:
  
2.309 * [simplify]: Sending expressions to egg_math:
 
2.325 * * * [progress]: adding candidates to table
2.326 * * [progress]: iteration 4 / 4
2.326 * * * [progress]: picking best candidate
2.327 * * * * [pick]: Picked  #<alt (λ (re im) re)>
2.327 * * * [progress]: localizing error
2.328 * * * [progress]: generating rewritten candidates
2.328 * * * [progress]: generating series expansions
2.328 * * * [progress]: simplifying candidates
2.328 * [simplify]: Simplifying:
  
2.328 * [simplify]: Sending expressions to egg_math:
 
2.339 * * * [progress]: adding candidates to table
2.339 * [progress]: [Phase 3 of 3] Extracting.
2.339 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.340 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
2.340 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.359 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.381 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.410 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
2.432 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.454 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.491 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.521 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.561 * * * [regime]: Found split indices: #<option (#s(si 3 35) #s(si 2 217) #s(si 1 255))>
2.562 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.617 * [regimes]: Found splitpoints: (#s(sp 3 re -2.176665368798762e+117) #s(sp 2 re 1.0485657510896514e+96) #s(sp 1 re +nan.0)) , with alts (#<alt (λ (re im) im)> #<alt (λ (re im) re)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) (* -1 re))>)
2.617 * [simplify]: Simplifying:
  (if (<= re -2.176665368798762e+117) (* -1 re) (if (<= re 1.0485657510896514e+96) (sqrt (+ (* re re) (* im im))) re))
2.617 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 -2.176665368798762e+117) (* -1 h0) (if (<= h0 1.0485657510896514e+96) (sqrt (+ (* h0 h0) (* h1 h1))) h0))
3.388 * [regime-testing]: Baseline error score: 31.722102892284383
3.392 * [regime-testing]: Oracle error score: 7.949369156113318
3.400 * [regime-testing]: End program error score: 17.98512400419291