13.732 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.018 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.020 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.021 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.021 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.035 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.039 * * * [progress]: generating series expansions 0.039 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.039 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.039 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.039 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.039 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.039 * [taylor]: Taking taylor expansion of re in im 0.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.040 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.042 * [taylor]: Taking taylor expansion of im in im 0.042 * [taylor]: Taking taylor expansion of 0 in im 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.044 * [taylor]: Taking taylor expansion of 1/2 in im 0.044 * [taylor]: Taking taylor expansion of im in im 0.046 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.047 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.047 * [taylor]: Taking taylor expansion of re in im 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.049 * [taylor]: Taking taylor expansion of im in re 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.049 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.049 * [taylor]: Taking taylor expansion of re in re 0.052 * [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 * [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 0.055 * [taylor]: Taking taylor expansion of 1 in im 0.055 * [taylor]: Taking taylor expansion of 0 in im 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.057 * [taylor]: Taking taylor expansion of 1/2 in im 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.062 * [taylor]: Taking taylor expansion of im in im 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.062 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.062 * [taylor]: Taking taylor expansion of re in im 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.064 * [taylor]: Taking taylor expansion of im in re 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.065 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.067 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of 1 in im 0.070 * [taylor]: Taking taylor expansion of 0 in im 0.072 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of 1/2 in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.076 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.077 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.077 * [taylor]: Taking taylor expansion of re in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.077 * [taylor]: Taking taylor expansion of im in re 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * [taylor]: Taking taylor expansion of 1 in im 0.079 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.086 * [taylor]: Taking taylor expansion of re in im 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.087 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of 1 in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.097 * [taylor]: Taking taylor expansion of re in im 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [taylor]: Taking taylor expansion of 0 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 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.105 * [taylor]: Taking taylor expansion of 0 in im 0.107 * * * [progress]: simplifying candidates 0.107 * [simplify]: Simplifying using # : (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))) (+ (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)) 0.110 * * [simplify]: iteration 0 : 78 enodes (cost 64 ) 0.112 * * [simplify]: iteration 1 : 320 enodes (cost 56 ) 0.117 * * [simplify]: iteration 2 : 853 enodes (cost 52 ) 0.133 * * [simplify]: iteration 3 : 3165 enodes (cost 50 ) 0.208 * * [simplify]: iteration 4 : 5001 enodes (cost 50 ) 0.209 * [simplify]: Simplified to: (hypot (pow im 3) (pow re 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))) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (fma im im (pow re 2)) (fma im im (pow re 2)) (fma im im (pow re 2)) 0.209 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.248 * * * * [pick]: Picked # 0.248 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * [progress]: generating series expansions 0.252 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying using # : 0.254 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.254 * [simplify]: Simplified to: 0.254 * * * [progress]: adding candidates to table 0.255 * [progress]: [Phase 3 of 3] Extracting. 0.256 * [simplify]: Simplifying using # : (log (hypot re im)) 0.257 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.257 * [simplify]: Simplified to: (log (hypot re im)) 0.733 * [regime-testing]: End program error score: 0