5.992 * [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))) 0.018 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) (* h1 h1))) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 4 ) 0.021 * * [simplify]: iteration 1 : 7 enodes (cost 4 ) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.036 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.045 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.045 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.045 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.045 * [taylor]: Taking taylor expansion of re in im 0.045 * [backup-simplify]: Simplify re into re 0.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 (* re re) into (pow re 2) 0.045 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.045 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.045 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.045 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.046 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [backup-simplify]: Simplify 0 into 0 0.046 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 (pow im 2)) into (pow im 2) 0.046 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.046 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.046 * [backup-simplify]: Simplify (+ 0 0) into 0 0.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.046 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.046 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [backup-simplify]: Simplify im into im 0.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.047 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.047 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.047 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.047 * [backup-simplify]: Simplify (+ 0 0) into 0 0.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.047 * [taylor]: Taking taylor expansion of im in im 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 0 into 0 0.047 * [backup-simplify]: Simplify 1 into 1 0.048 * [backup-simplify]: Simplify (* 1 1) into 1 0.048 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.048 * [backup-simplify]: Simplify (+ 1 0) into 1 0.049 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.049 * [taylor]: Taking taylor expansion of (/ 1/2 im) 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 im in im 0.049 * [backup-simplify]: Simplify 0 into 0 0.049 * [backup-simplify]: Simplify 1 into 1 0.049 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify 0 into 0 0.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.051 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.051 * [backup-simplify]: Simplify (+ 0 0) into 0 0.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.051 * [taylor]: Taking taylor expansion of 0 in im 0.051 * [backup-simplify]: Simplify 0 into 0 0.051 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.052 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.052 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.052 * [backup-simplify]: Simplify 0 into 0 0.052 * [backup-simplify]: Simplify 1 into 1 0.052 * [backup-simplify]: Simplify (* 1 1) into 1 0.052 * [backup-simplify]: Simplify (/ 1 1) into 1 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.052 * [taylor]: Taking taylor expansion of re in im 0.052 * [backup-simplify]: Simplify re into re 0.052 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.053 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.053 * [backup-simplify]: Simplify (+ 1 0) into 1 0.053 * [backup-simplify]: Simplify (sqrt 1) into 1 0.053 * [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 0.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.054 * [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 0.055 * [backup-simplify]: Simplify (/ 1 1) into 1 0.055 * [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 0.056 * [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 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.057 * [taylor]: Taking taylor expansion of im in re 0.057 * [backup-simplify]: Simplify im into im 0.057 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.057 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.057 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.057 * [taylor]: Taking taylor expansion of re in re 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* 1 1) into 1 0.058 * [backup-simplify]: Simplify (/ 1 1) into 1 0.058 * [backup-simplify]: Simplify (+ 0 1) into 1 0.058 * [backup-simplify]: Simplify (sqrt 1) into 1 0.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.060 * [taylor]: Taking taylor expansion of 1 in im 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.061 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.062 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.062 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.062 * [taylor]: Taking taylor expansion of 1/2 in im 0.062 * [backup-simplify]: Simplify 1/2 into 1/2 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.062 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.065 * [backup-simplify]: Simplify (+ 0 0) into 0 0.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.065 * [taylor]: Taking taylor expansion of 0 in im 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.066 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.067 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify 1 into 1 0.067 * [backup-simplify]: Simplify (* 1 1) into 1 0.067 * [backup-simplify]: Simplify (/ 1 1) into 1 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.068 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.068 * [taylor]: Taking taylor expansion of re in im 0.068 * [backup-simplify]: Simplify re into re 0.068 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.068 * [backup-simplify]: Simplify (+ 1 0) into 1 0.068 * [backup-simplify]: Simplify (sqrt 1) into 1 0.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.069 * [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 0.070 * [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 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [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 0.072 * [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 0.073 * [backup-simplify]: Simplify (sqrt 1) into 1 0.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.074 * [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 0.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.076 * [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 0.077 * [backup-simplify]: Simplify 1/2 into 1/2 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 1 1) into 1 0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.080 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.081 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.081 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.081 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.081 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.081 * [taylor]: Taking taylor expansion of re in im 0.081 * [backup-simplify]: Simplify re into re 0.081 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [backup-simplify]: Simplify im into im 0.082 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.082 * [taylor]: Taking taylor expansion of re in re 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.082 * [taylor]: Taking taylor expansion of im in re 0.082 * [backup-simplify]: Simplify im into im 0.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.082 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.082 * [backup-simplify]: Simplify (+ 0 0) into 0 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.083 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [taylor]: Taking taylor expansion of 1 in im 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify (* 1 1) into 1 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [taylor]: Taking taylor expansion of 0 in im 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.087 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.087 * [taylor]: Taking taylor expansion of im in im 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 1 1) into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.087 * [taylor]: Taking taylor expansion of re in im 0.087 * [backup-simplify]: Simplify re into re 0.087 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [backup-simplify]: Simplify im into im 0.088 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.088 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [backup-simplify]: Simplify im into im 0.088 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [taylor]: Taking taylor expansion of 1 in im 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (* 1 1) into 1 0.092 * [backup-simplify]: Simplify (/ 1 1) into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.101 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.101 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.101 * [taylor]: Taking taylor expansion of im in im 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (/ 1 1) into 1 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.102 * [taylor]: Taking taylor expansion of re in im 0.102 * [backup-simplify]: Simplify re into re 0.102 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.102 * [taylor]: Taking taylor expansion of im in re 0.102 * [backup-simplify]: Simplify im into im 0.102 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.102 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.102 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.102 * [taylor]: Taking taylor expansion of re in re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.103 * [taylor]: Taking taylor expansion of im in re 0.103 * [backup-simplify]: Simplify im into im 0.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.103 * [taylor]: Taking taylor expansion of re in re 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.103 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [taylor]: Taking taylor expansion of 1 in im 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* 1 1) into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.111 * [taylor]: Taking taylor expansion of 0 in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.113 * * * [progress]: simplifying candidates 0.113 * [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)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.113 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.117 * * [simplify]: iteration 0 : 125 enodes (cost 177 ) 0.120 * * [simplify]: iteration 1 : 530 enodes (cost 163 ) 0.129 * * [simplify]: iteration 2 : 1540 enodes (cost 163 ) 0.171 * * [simplify]: iteration 3 : 5001 enodes (cost 162 ) 0.172 * * * [progress]: adding candidates to table 0.240 * * [progress]: iteration 2 / 4 0.240 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.245 * * * [progress]: generating rewritten candidates 0.245 * * * [progress]: generating series expansions 0.245 * * * [progress]: simplifying candidates 0.245 * [simplify]: Simplifying: 0.245 * [simplify]: Sending expressions to egg_math: 0.248 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.248 * * * [progress]: adding candidates to table 0.248 * * [progress]: iteration 3 / 4 0.248 * * * [progress]: picking best candidate 0.252 * * * * [pick]: Picked # 0.252 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * [progress]: generating series expansions 0.253 * * * [progress]: simplifying candidates 0.253 * [simplify]: Simplifying: 0.253 * [simplify]: Sending expressions to egg_math: 0.255 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.255 * * * [progress]: adding candidates to table 0.255 * * [progress]: iteration 4 / 4 0.255 * * * [progress]: picking best candidate 0.259 * * * * [pick]: Picked # 0.259 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * [progress]: generating series expansions 0.261 * * * [progress]: simplifying candidates 0.261 * [simplify]: Simplifying: 0.261 * [simplify]: Sending expressions to egg_math: 0.263 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.263 * * * [progress]: adding candidates to table 0.263 * [progress]: [Phase 3 of 3] Extracting. 0.263 * * [regime]: Finding splitpoints for: (# # # # #) 0.264 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 0.264 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 0.285 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 0.302 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 0.323 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 0.338 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 0.364 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 0.377 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 0.404 * * * * [regimes]: Trying to branch on im from (# # # # #) 0.425 * * * * [regimes]: Trying to branch on re from (# # # # #) 0.462 * * * [regime]: Found split indices: #