7.013 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.015 * * * [progress]: [2/2] Setting up program.
0.017 * [progress]: [Phase 2 of 3] Improving.
0.017 * [simplify]: Simplifying:
  (sqrt (+ (* re re) (* im im)))
0.017 * [simplify]: Sending expressions to egg_math:
 (sqrt (+ (* h1 h1) (* h0 h0)))
0.020 * * [progress]: iteration 1 / 4
0.020 * * * [progress]: picking best candidate
0.021 * * * * [pick]: Picked  #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>
0.022 * * * [progress]: localizing error
0.028 * * * [progress]: generating rewritten candidates
0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.036 * * * [progress]: generating series expansions
0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.036 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2)))
0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0
0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im
0.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im
0.036 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.036 * [taylor]: Taking taylor expansion of re in im
0.036 * [backup-simplify]: Simplify re into re
0.036 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.036 * [taylor]: Taking taylor expansion of im in im
0.036 * [backup-simplify]: Simplify 0 into 0
0.036 * [backup-simplify]: Simplify 1 into 1
0.036 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.037 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.037 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.037 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.037 * [backup-simplify]: Simplify (+ 0 0) into 0
0.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.037 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.037 * [taylor]: Taking taylor expansion of re in re
0.037 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify 1 into 1
0.037 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.037 * [taylor]: Taking taylor expansion of im in re
0.037 * [backup-simplify]: Simplify im into im
0.037 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.038 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.038 * [backup-simplify]: Simplify (+ 0 0) into 0
0.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re
0.038 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re
0.038 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.038 * [taylor]: Taking taylor expansion of re in re
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 1 into 1
0.038 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.038 * [taylor]: Taking taylor expansion of im in re
0.038 * [backup-simplify]: Simplify im into im
0.038 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.038 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.039 * [backup-simplify]: Simplify (+ 0 0) into 0
0.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.039 * [taylor]: Taking taylor expansion of im in im
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [taylor]: Taking taylor expansion of 0 in im
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 0 into 0
0.039 * [backup-simplify]: Simplify 1 into 1
0.039 * [backup-simplify]: Simplify (* 1 1) into 1
0.040 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.040 * [backup-simplify]: Simplify (+ 1 0) into 1
0.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.040 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.040 * [taylor]: Taking taylor expansion of 1/2 in im
0.040 * [backup-simplify]: Simplify 1/2 into 1/2
0.040 * [taylor]: Taking taylor expansion of im in im
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.041 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify 0 into 0
0.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.042 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.042 * [backup-simplify]: Simplify (+ 0 0) into 0
0.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.042 * [taylor]: Taking taylor expansion of 0 in im
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.043 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.043 * [taylor]: Taking taylor expansion of im in im
0.043 * [backup-simplify]: Simplify 0 into 0
0.043 * [backup-simplify]: Simplify 1 into 1
0.044 * [backup-simplify]: Simplify (* 1 1) into 1
0.044 * [backup-simplify]: Simplify (/ 1 1) into 1
0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.044 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.044 * [taylor]: Taking taylor expansion of re in im
0.044 * [backup-simplify]: Simplify re into re
0.044 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.044 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.044 * [backup-simplify]: Simplify (+ 1 0) into 1
0.045 * [backup-simplify]: Simplify (sqrt 1) into 1
0.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.046 * [backup-simplify]: Simplify (+ 0 0) into 0
0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.046 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.046 * [taylor]: Taking taylor expansion of im in re
0.046 * [backup-simplify]: Simplify im into im
0.046 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.046 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.047 * [taylor]: Taking taylor expansion of re in re
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [backup-simplify]: Simplify (* 1 1) into 1
0.047 * [backup-simplify]: Simplify (/ 1 1) into 1
0.047 * [backup-simplify]: Simplify (+ 0 1) into 1
0.048 * [backup-simplify]: Simplify (sqrt 1) into 1
0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.049 * [backup-simplify]: Simplify (+ 0 0) into 0
0.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.049 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.049 * [taylor]: Taking taylor expansion of im in re
0.049 * [backup-simplify]: Simplify im into im
0.049 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.049 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.049 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.049 * [taylor]: Taking taylor expansion of re in re
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.050 * [backup-simplify]: Simplify (* 1 1) into 1
0.050 * [backup-simplify]: Simplify (/ 1 1) into 1
0.050 * [backup-simplify]: Simplify (+ 0 1) into 1
0.050 * [backup-simplify]: Simplify (sqrt 1) into 1
0.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.051 * [backup-simplify]: Simplify (+ 0 0) into 0
0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.052 * [taylor]: Taking taylor expansion of 1 in im
0.052 * [backup-simplify]: Simplify 1 into 1
0.052 * [taylor]: Taking taylor expansion of 0 in im
0.052 * [backup-simplify]: Simplify 0 into 0
0.052 * [backup-simplify]: Simplify 1 into 1
0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.053 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.054 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.054 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.054 * [taylor]: Taking taylor expansion of 1/2 in im
0.054 * [backup-simplify]: Simplify 1/2 into 1/2
0.054 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.054 * [taylor]: Taking taylor expansion of im in im
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 1 into 1
0.054 * [backup-simplify]: Simplify (* 1 1) into 1
0.055 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify 0 into 0
0.056 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.058 * [taylor]: Taking taylor expansion of 0 in im
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))
0.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im
0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im
0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im
0.059 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.059 * [taylor]: Taking taylor expansion of im in im
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (* 1 1) into 1
0.060 * [backup-simplify]: Simplify (/ 1 1) into 1
0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im
0.060 * [taylor]: Taking taylor expansion of (pow re 2) in im
0.060 * [taylor]: Taking taylor expansion of re in im
0.060 * [backup-simplify]: Simplify re into re
0.060 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.060 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2))
0.060 * [backup-simplify]: Simplify (+ 1 0) into 1
0.060 * [backup-simplify]: Simplify (sqrt 1) into 1
0.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.062 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.062 * [taylor]: Taking taylor expansion of im in re
0.062 * [backup-simplify]: Simplify im into im
0.062 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.062 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.062 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.062 * [taylor]: Taking taylor expansion of re in re
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify (* 1 1) into 1
0.063 * [backup-simplify]: Simplify (/ 1 1) into 1
0.063 * [backup-simplify]: Simplify (+ 0 1) into 1
0.063 * [backup-simplify]: Simplify (sqrt 1) into 1
0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re
0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re
0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re
0.072 * [taylor]: Taking taylor expansion of im in re
0.072 * [backup-simplify]: Simplify im into im
0.072 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.072 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2))
0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re
0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re
0.072 * [taylor]: Taking taylor expansion of re in re
0.072 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [backup-simplify]: Simplify (* 1 1) into 1
0.073 * [backup-simplify]: Simplify (/ 1 1) into 1
0.073 * [backup-simplify]: Simplify (+ 0 1) into 1
0.074 * [backup-simplify]: Simplify (sqrt 1) into 1
0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.075 * [taylor]: Taking taylor expansion of 1 in im
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [taylor]: Taking taylor expansion of 0 in im
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2))
0.077 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.077 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.077 * [taylor]: Taking taylor expansion of 1/2 in im
0.078 * [backup-simplify]: Simplify 1/2 into 1/2
0.078 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.078 * [taylor]: Taking taylor expansion of im in im
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [backup-simplify]: Simplify (* 1 1) into 1
0.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.081 * [taylor]: Taking taylor expansion of 0 in im
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.082 * * * [progress]: simplifying candidates
0.083 * [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)
0.083 * [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)
0.214 * * * [progress]: adding candidates to table
0.253 * * [progress]: iteration 2 / 4
0.253 * * * [progress]: picking best candidate
0.255 * * * * [pick]: Picked  #<alt (λ (re im) re)>
0.256 * * * [progress]: localizing error
0.256 * * * [progress]: generating rewritten candidates
0.256 * * * [progress]: generating series expansions
0.256 * * * [progress]: simplifying candidates
0.257 * [simplify]: Simplifying:
  
0.257 * [simplify]: Sending expressions to egg_math:
 
0.258 * * * [progress]: adding candidates to table
0.259 * * [progress]: iteration 3 / 4
0.259 * * * [progress]: picking best candidate
0.264 * * * * [pick]: Picked  #<alt (λ (re im) im)>
0.264 * * * [progress]: localizing error
0.265 * * * [progress]: generating rewritten candidates
0.265 * * * [progress]: generating series expansions
0.265 * * * [progress]: simplifying candidates
0.265 * [simplify]: Simplifying:
  
0.265 * [simplify]: Sending expressions to egg_math:
 
0.267 * * * [progress]: adding candidates to table
0.267 * * [progress]: iteration 4 / 4
0.267 * * * [progress]: picking best candidate
0.268 * * * * [pick]: Picked  #<alt (λ (re im) (* -1 re))>
0.268 * * * [progress]: localizing error
0.270 * * * [progress]: generating rewritten candidates
0.270 * * * [progress]: generating series expansions
0.270 * * * [progress]: simplifying candidates
0.271 * [simplify]: Simplifying:
  
0.271 * [simplify]: Sending expressions to egg_math:
 
0.273 * * * [progress]: adding candidates to table
0.273 * [progress]: [Phase 3 of 3] Extracting.
0.273 * * [regime]: Finding splitpoints for: (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.273 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re)
0.273 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.303 * * * * [regimes]: Trying to branch on (* im im) from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.328 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.349 * * * * [regimes]: Trying to branch on (* re re) from (#<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))>)
0.361 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.383 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.409 * * * * [regimes]: Trying to branch on im from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.442 * * * * [regimes]: Trying to branch on re from (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.475 * * * [regime]: Found split indices: #<option (#s(si 0 47) #s(si 2 102) #s(si 1 120) #s(si 2 211) #s(si 3 255))>
0.476 * [binary-search]: Improving bounds with binary search for re and (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.553 * [regimes]: Found splitpoints: (#s(sp 0 re -4.219332295965777e+82) #s(sp 2 re -3.743447547042941e-217) #s(sp 1 re 4.769025653725655e-305) #s(sp 2 re 2.4193750647347497e+132) #s(sp 3 re +nan.0)) , with alts (#<alt (λ (re im) (* -1 re))> #<alt (λ (re im) im)> #<alt (λ (re im) (sqrt (+ (* re re) (* im im))))> #<alt (λ (re im) re)>)
0.554 * [simplify]: Simplifying:
  (if (<= re -4.219332295965777e+82) (* -1 re) (if (<= re -3.743447547042941e-217) (sqrt (+ (* re re) (* im im))) (if (<= re 4.769025653725655e-305) im (if (<= re 2.4193750647347497e+132) (sqrt (+ (* re re) (* im im))) re))))
0.554 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 h5) (* -1 h0) (if (<= h0 h4) (sqrt (+ (* h0 h0) (* h1 h1))) (if (<= h0 h3) h1 (if (<= h0 h2) (sqrt (+ (* h0 h0) (* h1 h1))) h0))))
1.190 * [regime-testing]: Baseline error score: 32.09838720916328
1.192 * [regime-testing]: Oracle error score: 7.859256213200802
1.197 * [regime-testing]: End program error score: 17.816085477133857