8.371 * [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: (log (sqrt (+ (* re re) (* im im)))) 0.017 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.021 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.022 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.042 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.042 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.042 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [backup-simplify]: Simplify re into re 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 0.043 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.043 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.043 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.043 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.043 * [backup-simplify]: Simplify (+ 0 0) into 0 0.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [taylor]: Taking taylor expansion of (pow im 2) 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 (* im im) into (pow im 2) 0.044 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.044 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.044 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.044 * [backup-simplify]: Simplify (+ 0 0) into 0 0.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [taylor]: Taking taylor expansion of (pow im 2) 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 (* im im) into (pow im 2) 0.044 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.045 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.045 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 0 into 0 0.045 * [backup-simplify]: Simplify 1 into 1 0.045 * [backup-simplify]: Simplify (* 1 1) into 1 0.046 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.046 * [backup-simplify]: Simplify (+ 1 0) into 1 0.046 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.046 * [taylor]: Taking taylor expansion of 1/2 in im 0.046 * [backup-simplify]: Simplify 1/2 into 1/2 0.046 * [taylor]: Taking taylor expansion of im in im 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.048 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.048 * [backup-simplify]: Simplify (+ 0 0) into 0 0.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.049 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 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 0.050 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.050 * [taylor]: Taking taylor expansion of re in im 0.050 * [backup-simplify]: Simplify re into re 0.050 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.050 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.050 * [backup-simplify]: Simplify (+ 1 0) into 1 0.051 * [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 0.052 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [backup-simplify]: Simplify im into im 0.052 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.052 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.052 * [backup-simplify]: Simplify 0 into 0 0.053 * [backup-simplify]: Simplify 1 into 1 0.053 * [backup-simplify]: Simplify (* 1 1) into 1 0.053 * [backup-simplify]: Simplify (/ 1 1) into 1 0.053 * [backup-simplify]: Simplify (+ 0 1) into 1 0.053 * [backup-simplify]: Simplify (sqrt 1) into 1 0.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.054 * [backup-simplify]: Simplify (+ 0 0) into 0 0.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [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 (+ (* 1 0) (* 0 1)) into 0 0.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.057 * [backup-simplify]: Simplify (+ 0 0) into 0 0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.058 * [taylor]: Taking taylor expansion of 1 in im 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [taylor]: Taking taylor expansion of 0 in im 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.059 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.060 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.060 * [taylor]: Taking taylor expansion of 1/2 in im 0.060 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.060 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify (+ 0 0) into 0 0.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.063 * [taylor]: Taking taylor expansion of 0 in im 0.063 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.065 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.065 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.065 * [taylor]: Taking taylor expansion of im in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 1 into 1 0.065 * [backup-simplify]: Simplify (* 1 1) into 1 0.065 * [backup-simplify]: Simplify (/ 1 1) into 1 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.065 * [taylor]: Taking taylor expansion of re in im 0.065 * [backup-simplify]: Simplify re into re 0.065 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.065 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.066 * [backup-simplify]: Simplify (+ 1 0) into 1 0.066 * [backup-simplify]: Simplify (sqrt 1) into 1 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.067 * [backup-simplify]: Simplify (+ 0 0) into 0 0.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.067 * [backup-simplify]: Simplify im into im 0.067 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.068 * [taylor]: Taking taylor expansion of re in re 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 1) into 1 0.068 * [backup-simplify]: Simplify (+ 0 1) into 1 0.069 * [backup-simplify]: Simplify (sqrt 1) into 1 0.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.070 * [backup-simplify]: Simplify (+ 0 0) into 0 0.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [backup-simplify]: Simplify im into im 0.070 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.070 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.070 * [backup-simplify]: Simplify 0 into 0 0.070 * [backup-simplify]: Simplify 1 into 1 0.070 * [backup-simplify]: Simplify (* 1 1) into 1 0.071 * [backup-simplify]: Simplify (/ 1 1) into 1 0.071 * [backup-simplify]: Simplify (+ 0 1) into 1 0.071 * [backup-simplify]: Simplify (sqrt 1) into 1 0.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.073 * [taylor]: Taking taylor expansion of 1 in im 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.074 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.075 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.075 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.075 * [taylor]: Taking taylor expansion of 1/2 in im 0.075 * [backup-simplify]: Simplify 1/2 into 1/2 0.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.075 * [backup-simplify]: Simplify 0 into 0 0.075 * [backup-simplify]: Simplify 1 into 1 0.075 * [backup-simplify]: Simplify (* 1 1) into 1 0.075 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.079 * * * [progress]: simplifying candidates 0.080 * [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)))) im re (* -1 re) 0.080 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h1 h1) (* h0 h0)))) (log1p (sqrt (+ (* h1 h1) (* h0 h0)))) (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) 0.082 * * [simplify]: iteration 0 : 98 enodes (cost 103 ) 0.085 * * [simplify]: iteration 1 : 254 enodes (cost 98 ) 0.089 * * [simplify]: iteration 2 : 619 enodes (cost 98 ) 0.099 * * [simplify]: iteration 3 : 1573 enodes (cost 98 ) 0.129 * * [simplify]: iteration 4 : 5001 enodes (cost 98 ) 0.130 * * * [progress]: adding candidates to table 0.181 * * [progress]: iteration 2 / 4 0.181 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.187 * * * [progress]: generating rewritten candidates 0.187 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.187 * * * [progress]: generating series expansions 0.187 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.187 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.187 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.187 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.187 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.187 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.187 * [taylor]: Taking taylor expansion of (* re re) in im 0.187 * [taylor]: Taking taylor expansion of re in im 0.187 * [backup-simplify]: Simplify re into re 0.187 * [taylor]: Taking taylor expansion of re in im 0.187 * [backup-simplify]: Simplify re into re 0.188 * [taylor]: Taking taylor expansion of (* im im) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of im in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.188 * [backup-simplify]: Simplify (* 0 0) into 0 0.188 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.188 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.188 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.189 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.189 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.189 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.189 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.189 * [taylor]: Taking taylor expansion of (* re re) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of (* im im) in re 0.189 * [taylor]: Taking taylor expansion of im in re 0.189 * [backup-simplify]: Simplify im into im 0.189 * [taylor]: Taking taylor expansion of im in re 0.189 * [backup-simplify]: Simplify im into im 0.189 * [backup-simplify]: Simplify (* 0 0) into 0 0.189 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.190 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.190 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.190 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.190 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.190 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.190 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.190 * [taylor]: Taking taylor expansion of (* re re) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [taylor]: Taking taylor expansion of (* im im) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [backup-simplify]: Simplify im into im 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [backup-simplify]: Simplify im into im 0.191 * [backup-simplify]: Simplify (* 0 0) into 0 0.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.191 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.191 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.191 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.192 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.192 * [taylor]: Taking taylor expansion of im in im 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [taylor]: Taking taylor expansion of 0 in im 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.193 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.193 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.193 * [taylor]: Taking taylor expansion of 1/2 in im 0.193 * [backup-simplify]: Simplify 1/2 into 1/2 0.193 * [taylor]: Taking taylor expansion of im in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.196 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.196 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.196 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.197 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.197 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.197 * [backup-simplify]: Simplify re into re 0.197 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.197 * [backup-simplify]: Simplify re into re 0.197 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.197 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (+ 0 1) into 1 0.198 * [backup-simplify]: Simplify (sqrt 1) into 1 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.200 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.200 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (sqrt 1) into 1 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.203 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.203 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.203 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [backup-simplify]: Simplify im into im 0.204 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.204 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.204 * [taylor]: Taking taylor expansion of im in re 0.204 * [backup-simplify]: Simplify im into im 0.204 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (sqrt 1) into 1 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.207 * [taylor]: Taking taylor expansion of 1 in im 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of 0 in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.208 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.209 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.209 * [taylor]: Taking taylor expansion of 1/2 in im 0.209 * [backup-simplify]: Simplify 1/2 into 1/2 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.214 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.214 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.214 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.215 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.215 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.215 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.215 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.215 * [taylor]: Taking taylor expansion of -1 in im 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of re in im 0.215 * [backup-simplify]: Simplify re into re 0.215 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.215 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.215 * [taylor]: Taking taylor expansion of -1 in im 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of re in im 0.215 * [backup-simplify]: Simplify re into re 0.215 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.215 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.215 * [taylor]: Taking taylor expansion of -1 in im 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ -1 1) into -1 0.215 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.215 * [taylor]: Taking taylor expansion of -1 in im 0.215 * [backup-simplify]: Simplify -1 into -1 0.215 * [taylor]: Taking taylor expansion of im in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ -1 1) into -1 0.216 * [backup-simplify]: Simplify (* -1 -1) into 1 0.216 * [backup-simplify]: Simplify (+ 0 1) into 1 0.216 * [backup-simplify]: Simplify (sqrt 1) into 1 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.218 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.218 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.218 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.218 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.218 * [taylor]: Taking taylor expansion of -1 in re 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [taylor]: Taking taylor expansion of re in re 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ -1 1) into -1 0.219 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.219 * [taylor]: Taking taylor expansion of -1 in re 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of re in re 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ -1 1) into -1 0.219 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.219 * [taylor]: Taking taylor expansion of -1 in re 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of im in re 0.219 * [backup-simplify]: Simplify im into im 0.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.219 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.219 * [taylor]: Taking taylor expansion of -1 in re 0.219 * [backup-simplify]: Simplify -1 into -1 0.219 * [taylor]: Taking taylor expansion of im in re 0.219 * [backup-simplify]: Simplify im into im 0.219 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.219 * [backup-simplify]: Simplify (* -1 -1) into 1 0.220 * [backup-simplify]: Simplify (+ 1 0) into 1 0.220 * [backup-simplify]: Simplify (sqrt 1) into 1 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.222 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.222 * [taylor]: Taking taylor expansion of -1 in re 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of re in re 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ -1 1) into -1 0.222 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.222 * [taylor]: Taking taylor expansion of -1 in re 0.222 * [backup-simplify]: Simplify -1 into -1 0.222 * [taylor]: Taking taylor expansion of re in re 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ -1 1) into -1 0.223 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.223 * [taylor]: Taking taylor expansion of -1 in re 0.223 * [backup-simplify]: Simplify -1 into -1 0.223 * [taylor]: Taking taylor expansion of im in re 0.223 * [backup-simplify]: Simplify im into im 0.223 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.223 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.223 * [taylor]: Taking taylor expansion of -1 in re 0.223 * [backup-simplify]: Simplify -1 into -1 0.223 * [taylor]: Taking taylor expansion of im in re 0.223 * [backup-simplify]: Simplify im into im 0.223 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.223 * [backup-simplify]: Simplify (* -1 -1) into 1 0.223 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (sqrt 1) into 1 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [taylor]: Taking taylor expansion of 1 in im 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 0 in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.227 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.227 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.228 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.228 * [taylor]: Taking taylor expansion of 1/2 in im 0.228 * [backup-simplify]: Simplify 1/2 into 1/2 0.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.234 * * * [progress]: simplifying candidates 0.234 * [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) 0.234 * [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) 0.236 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.237 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.238 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.240 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.241 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.243 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.247 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.261 * * [simplify]: iteration 7 : 1687 enodes (cost 24 ) 0.325 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.325 * * * [progress]: adding candidates to table 0.356 * [progress]: [Phase 3 of 3] Extracting. 0.358 * [simplify]: Simplifying: (log (hypot re im)) 0.358 * [simplify]: Sending expressions to egg_math: (log (hypot h1 h0)) 0.358 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.359 * * [simplify]: iteration 1 : 4 enodes (cost 2 ) 0.874 * [regime-testing]: End program error score: 0.00012501562695336918