6.022 * [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)))
0.019 * * [simplify]: iteration  0 :  9  enodes  (cost  1 )
0.020 * * [simplify]: iteration  1 :  11  enodes  (cost  1 )
0.021 * * [simplify]: iteration  2 :  11  enodes  (cost  1 )
0.024 * * [progress]: iteration 1 / 4
0.024 * * * [progress]: picking best candidate
0.025 * * * * [pick]: Picked  #<alt (λ (re im) (hypot re im))>
0.025 * * * [progress]: localizing error
0.027 * * * [progress]: generating rewritten candidates
0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.028 * * * [progress]: generating series expansions
0.028 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.028 * [backup-simplify]: Simplify (hypot re im) into (hypot re im)
0.028 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0
0.028 * [taylor]: Taking taylor expansion of (hypot re im) in im
0.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im
0.028 * [taylor]: Taking taylor expansion of (* re re) in im
0.028 * [taylor]: Taking taylor expansion of re in im
0.028 * [backup-simplify]: Simplify re into re
0.028 * [taylor]: Taking taylor expansion of re in im
0.028 * [backup-simplify]: Simplify re into re
0.028 * [taylor]: Taking taylor expansion of (* im im) in im
0.028 * [taylor]: Taking taylor expansion of im in im
0.028 * [backup-simplify]: Simplify 0 into 0
0.028 * [backup-simplify]: Simplify 1 into 1
0.028 * [taylor]: Taking taylor expansion of im in im
0.028 * [backup-simplify]: Simplify 0 into 0
0.028 * [backup-simplify]: Simplify 1 into 1
0.028 * [backup-simplify]: Simplify (* re re) into (pow re 2)
0.029 * [backup-simplify]: Simplify (* 0 0) into 0
0.029 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2)
0.029 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re
0.029 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0
0.029 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.029 * [backup-simplify]: Simplify (+ 0 0) into 0
0.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0
0.030 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.030 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.030 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.030 * [taylor]: Taking taylor expansion of (* re re) in re
0.030 * [taylor]: Taking taylor expansion of re in re
0.030 * [backup-simplify]: Simplify 0 into 0
0.030 * [backup-simplify]: Simplify 1 into 1
0.030 * [taylor]: Taking taylor expansion of re in re
0.030 * [backup-simplify]: Simplify 0 into 0
0.030 * [backup-simplify]: Simplify 1 into 1
0.030 * [taylor]: Taking taylor expansion of (* im im) in re
0.030 * [taylor]: Taking taylor expansion of im in re
0.030 * [backup-simplify]: Simplify im into im
0.030 * [taylor]: Taking taylor expansion of im in re
0.030 * [backup-simplify]: Simplify im into im
0.030 * [backup-simplify]: Simplify (* 0 0) into 0
0.030 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.030 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.030 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.031 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.031 * [backup-simplify]: Simplify (+ 0 0) into 0
0.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.031 * [taylor]: Taking taylor expansion of (hypot re im) in re
0.031 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im)))
0.031 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re
0.031 * [taylor]: Taking taylor expansion of (* re re) in re
0.031 * [taylor]: Taking taylor expansion of re in re
0.031 * [backup-simplify]: Simplify 0 into 0
0.031 * [backup-simplify]: Simplify 1 into 1
0.031 * [taylor]: Taking taylor expansion of re in re
0.031 * [backup-simplify]: Simplify 0 into 0
0.031 * [backup-simplify]: Simplify 1 into 1
0.031 * [taylor]: Taking taylor expansion of (* im im) in re
0.031 * [taylor]: Taking taylor expansion of im in re
0.031 * [backup-simplify]: Simplify im into im
0.031 * [taylor]: Taking taylor expansion of im in re
0.031 * [backup-simplify]: Simplify im into im
0.031 * [backup-simplify]: Simplify (* 0 0) into 0
0.031 * [backup-simplify]: Simplify (* im im) into (pow im 2)
0.032 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2)
0.032 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im
0.032 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0
0.032 * [backup-simplify]: Simplify (+ 0 0) into 0
0.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0
0.032 * [taylor]: Taking taylor expansion of im in im
0.032 * [backup-simplify]: Simplify 0 into 0
0.032 * [backup-simplify]: Simplify 1 into 1
0.033 * [backup-simplify]: Simplify 0 into 0
0.033 * [taylor]: Taking taylor expansion of 0 in im
0.033 * [backup-simplify]: Simplify 0 into 0
0.033 * [backup-simplify]: Simplify 0 into 0
0.033 * [backup-simplify]: Simplify 1 into 1
0.033 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.033 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0
0.034 * [backup-simplify]: Simplify (+ 1 0) into 1
0.034 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im)
0.034 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im
0.034 * [taylor]: Taking taylor expansion of 1/2 in im
0.034 * [backup-simplify]: Simplify 1/2 into 1/2
0.034 * [taylor]: Taking taylor expansion of im in im
0.034 * [backup-simplify]: Simplify 0 into 0
0.034 * [backup-simplify]: Simplify 1 into 1
0.034 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify 0 into 0
0.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.036 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0
0.036 * [backup-simplify]: Simplify (+ 0 0) into 0
0.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0
0.036 * [taylor]: Taking taylor expansion of 0 in im
0.036 * [backup-simplify]: Simplify 0 into 0
0.036 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.037 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify (* 1 (* im 1)) into im
0.037 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im))
0.037 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0
0.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im
0.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.037 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im
0.037 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im
0.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.037 * [taylor]: Taking taylor expansion of re in im
0.037 * [backup-simplify]: Simplify re into re
0.037 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im
0.037 * [taylor]: Taking taylor expansion of re in im
0.037 * [backup-simplify]: Simplify re into re
0.037 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re)
0.037 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im
0.037 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.037 * [taylor]: Taking taylor expansion of im in im
0.037 * [backup-simplify]: Simplify 0 into 0
0.037 * [backup-simplify]: Simplify 1 into 1
0.038 * [backup-simplify]: Simplify (/ 1 1) into 1
0.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im
0.038 * [taylor]: Taking taylor expansion of im in im
0.038 * [backup-simplify]: Simplify 0 into 0
0.038 * [backup-simplify]: Simplify 1 into 1
0.038 * [backup-simplify]: Simplify (/ 1 1) into 1
0.038 * [backup-simplify]: Simplify (* 1 1) into 1
0.038 * [backup-simplify]: Simplify (+ 0 1) into 1
0.039 * [backup-simplify]: Simplify (sqrt 1) into 1
0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.040 * [backup-simplify]: Simplify (+ 0 0) into 0
0.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.040 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.040 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.040 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.040 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.040 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.040 * [taylor]: Taking taylor expansion of re in re
0.040 * [backup-simplify]: Simplify 0 into 0
0.040 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify (/ 1 1) into 1
0.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.041 * [taylor]: Taking taylor expansion of re in re
0.041 * [backup-simplify]: Simplify 0 into 0
0.041 * [backup-simplify]: Simplify 1 into 1
0.041 * [backup-simplify]: Simplify (/ 1 1) into 1
0.041 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.041 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.041 * [taylor]: Taking taylor expansion of im in re
0.041 * [backup-simplify]: Simplify im into im
0.041 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.041 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.041 * [taylor]: Taking taylor expansion of im in re
0.041 * [backup-simplify]: Simplify im into im
0.041 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.041 * [backup-simplify]: Simplify (* 1 1) into 1
0.042 * [backup-simplify]: Simplify (+ 1 0) into 1
0.042 * [backup-simplify]: Simplify (sqrt 1) into 1
0.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.043 * [backup-simplify]: Simplify (+ 0 0) into 0
0.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.044 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re
0.044 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))
0.044 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re
0.044 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re
0.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.044 * [taylor]: Taking taylor expansion of re in re
0.044 * [backup-simplify]: Simplify 0 into 0
0.044 * [backup-simplify]: Simplify 1 into 1
0.044 * [backup-simplify]: Simplify (/ 1 1) into 1
0.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re
0.044 * [taylor]: Taking taylor expansion of re in re
0.044 * [backup-simplify]: Simplify 0 into 0
0.044 * [backup-simplify]: Simplify 1 into 1
0.044 * [backup-simplify]: Simplify (/ 1 1) into 1
0.044 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re
0.044 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.044 * [taylor]: Taking taylor expansion of im in re
0.044 * [backup-simplify]: Simplify im into im
0.044 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.044 * [taylor]: Taking taylor expansion of (/ 1 im) in re
0.044 * [taylor]: Taking taylor expansion of im in re
0.044 * [backup-simplify]: Simplify im into im
0.044 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im)
0.045 * [backup-simplify]: Simplify (* 1 1) into 1
0.045 * [backup-simplify]: Simplify (+ 1 0) into 1
0.045 * [backup-simplify]: Simplify (sqrt 1) into 1
0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.046 * [backup-simplify]: Simplify (+ 0 0) into 0
0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.047 * [taylor]: Taking taylor expansion of 1 in im
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [taylor]: Taking taylor expansion of 0 in im
0.047 * [backup-simplify]: Simplify 0 into 0
0.047 * [backup-simplify]: Simplify 1 into 1
0.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.048 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2))
0.049 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.049 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.049 * [taylor]: Taking taylor expansion of 1/2 in im
0.049 * [backup-simplify]: Simplify 1/2 into 1/2
0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.049 * [taylor]: Taking taylor expansion of im in im
0.049 * [backup-simplify]: Simplify 0 into 0
0.049 * [backup-simplify]: Simplify 1 into 1
0.050 * [backup-simplify]: Simplify (* 1 1) into 1
0.050 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify 0 into 0
0.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0
0.052 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0
0.053 * [backup-simplify]: Simplify (+ 0 0) into 0
0.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.053 * [taylor]: Taking taylor expansion of 0 in im
0.053 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify 0 into 0
0.054 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re
0.054 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im))
0.054 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0
0.054 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im
0.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im
0.054 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im
0.054 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.054 * [taylor]: Taking taylor expansion of -1 in im
0.055 * [backup-simplify]: Simplify -1 into -1
0.055 * [taylor]: Taking taylor expansion of re in im
0.055 * [backup-simplify]: Simplify re into re
0.055 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.055 * [taylor]: Taking taylor expansion of (/ -1 re) in im
0.055 * [taylor]: Taking taylor expansion of -1 in im
0.055 * [backup-simplify]: Simplify -1 into -1
0.055 * [taylor]: Taking taylor expansion of re in im
0.055 * [backup-simplify]: Simplify re into re
0.055 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re)
0.055 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im
0.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.055 * [taylor]: Taking taylor expansion of -1 in im
0.055 * [backup-simplify]: Simplify -1 into -1
0.055 * [taylor]: Taking taylor expansion of im in im
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (/ -1 1) into -1
0.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im
0.055 * [taylor]: Taking taylor expansion of -1 in im
0.055 * [backup-simplify]: Simplify -1 into -1
0.055 * [taylor]: Taking taylor expansion of im in im
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [backup-simplify]: Simplify (/ -1 1) into -1
0.056 * [backup-simplify]: Simplify (* -1 -1) into 1
0.056 * [backup-simplify]: Simplify (+ 0 1) into 1
0.056 * [backup-simplify]: Simplify (sqrt 1) into 1
0.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.057 * [backup-simplify]: Simplify (+ 0 0) into 0
0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.058 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.058 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.058 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.058 * [taylor]: Taking taylor expansion of -1 in re
0.058 * [backup-simplify]: Simplify -1 into -1
0.058 * [taylor]: Taking taylor expansion of re in re
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.058 * [backup-simplify]: Simplify (/ -1 1) into -1
0.058 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.058 * [taylor]: Taking taylor expansion of -1 in re
0.058 * [backup-simplify]: Simplify -1 into -1
0.058 * [taylor]: Taking taylor expansion of re in re
0.058 * [backup-simplify]: Simplify 0 into 0
0.058 * [backup-simplify]: Simplify 1 into 1
0.059 * [backup-simplify]: Simplify (/ -1 1) into -1
0.059 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.059 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.059 * [taylor]: Taking taylor expansion of -1 in re
0.059 * [backup-simplify]: Simplify -1 into -1
0.059 * [taylor]: Taking taylor expansion of im in re
0.059 * [backup-simplify]: Simplify im into im
0.059 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.059 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.059 * [taylor]: Taking taylor expansion of -1 in re
0.059 * [backup-simplify]: Simplify -1 into -1
0.059 * [taylor]: Taking taylor expansion of im in re
0.059 * [backup-simplify]: Simplify im into im
0.059 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.059 * [backup-simplify]: Simplify (* -1 -1) into 1
0.059 * [backup-simplify]: Simplify (+ 1 0) into 1
0.060 * [backup-simplify]: Simplify (sqrt 1) into 1
0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.061 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.061 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re
0.062 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))))
0.062 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re
0.062 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re
0.062 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.062 * [taylor]: Taking taylor expansion of -1 in re
0.062 * [backup-simplify]: Simplify -1 into -1
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
0.062 * [taylor]: Taking taylor expansion of (/ -1 re) in re
0.062 * [taylor]: Taking taylor expansion of -1 in re
0.062 * [backup-simplify]: Simplify -1 into -1
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
0.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re
0.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.062 * [taylor]: Taking taylor expansion of -1 in re
0.062 * [backup-simplify]: Simplify -1 into -1
0.062 * [taylor]: Taking taylor expansion of im in re
0.062 * [backup-simplify]: Simplify im into im
0.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re
0.062 * [taylor]: Taking taylor expansion of -1 in re
0.062 * [backup-simplify]: Simplify -1 into -1
0.062 * [taylor]: Taking taylor expansion of im in re
0.062 * [backup-simplify]: Simplify im into im
0.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im)
0.063 * [backup-simplify]: Simplify (* -1 -1) into 1
0.063 * [backup-simplify]: Simplify (+ 1 0) into 1
0.063 * [backup-simplify]: Simplify (sqrt 1) into 1
0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.064 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.065 * [backup-simplify]: Simplify (+ 0 0) into 0
0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.065 * [taylor]: Taking taylor expansion of 1 in im
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [taylor]: Taking taylor expansion of 0 in im
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.067 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2))
0.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2))
0.067 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2))
0.068 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im
0.068 * [taylor]: Taking taylor expansion of 1/2 in im
0.068 * [backup-simplify]: Simplify 1/2 into 1/2
0.068 * [taylor]: Taking taylor expansion of (pow im 2) in im
0.068 * [taylor]: Taking taylor expansion of im in im
0.068 * [backup-simplify]: Simplify 0 into 0
0.068 * [backup-simplify]: Simplify 1 into 1
0.068 * [backup-simplify]: Simplify (* 1 1) into 1
0.068 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify 0 into 0
0.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.070 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.071 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.071 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0
0.071 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0
0.071 * [backup-simplify]: Simplify (+ 0 0) into 0
0.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0
0.071 * [taylor]: Taking taylor expansion of 0 in im
0.071 * [backup-simplify]: Simplify 0 into 0
0.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re)
0.073 * * * [progress]: simplifying candidates
0.073 * [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)
0.073 * [simplify]: Sending expressions to egg_math:
 (expm1 (hypot h1 h0))
 (log1p (hypot h1 h0))
 (+ (* h1 h1) (* h0 h0))
 (log (hypot h1 h0))
 (exp (hypot h1 h0))
 (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))
 (cbrt (hypot h1 h0))
 (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0))
 (sqrt (hypot h1 h0))
 (sqrt (hypot h1 h0))
 h0
 h1
 (* -1 h1)
0.075 * * [simplify]: iteration  0 :  22  enodes  (cost  27 )
0.077 * * [simplify]: iteration  1 :  25  enodes  (cost  24 )
0.078 * * [simplify]: iteration  2 :  29  enodes  (cost  24 )
0.079 * * [simplify]: iteration  3 :  34  enodes  (cost  24 )
0.080 * * [simplify]: iteration  4 :  53  enodes  (cost  24 )
0.082 * * [simplify]: iteration  5 :  107  enodes  (cost  24 )
0.087 * * [simplify]: iteration  6 :  513  enodes  (cost  24 )
0.100 * * [simplify]: iteration  7 :  1687  enodes  (cost  24 )
0.162 * * [simplify]: iteration  8 :  5001  enodes  (cost  24 )
0.163 * * * [progress]: adding candidates to table
0.190 * [progress]: [Phase 3 of 3] Extracting.
0.191 * [simplify]: Simplifying:
  (hypot re im)
0.191 * [simplify]: Sending expressions to egg_math:
 (hypot h1 h0)
0.191 * * [simplify]: iteration  0 :  3  enodes  (cost  1 )
0.192 * * [simplify]: iteration  1 :  3  enodes  (cost  1 )
0.789 * [regime-testing]: End program error score: 0.004375546943367921