Transaction Fee Table
Fees in L2 transaction apply a factor encoded by an index, as shown in the table above and the formula below:
\(0 \quad \text{ if } i = 0\)
\(2^{-60 + i·(\frac{-8-(-60)}{32})} \quad \text{if} \quad 1 \leq i \leq 31\)
\(2^{-8 + (i-32)·(\frac{0-(-8)}{160})} \quad \text{if} \quad 32 \leq i \leq 191\)
\(2^{(i-192)·(\frac{63-0}{63})} \quad \text{if} \quad 192 \leq i \leq 255\)
This is the complete table of the fees factors by fee index:
feeIndex | feeExponent | feeFactor |
---|---|---|
0 | 0 | 0,00E+00 |
1 | -58,375 | 2,68E-18 |
2 | -56,75 | 8,25E-18 |
3 | -55,125 | 2,55E-17 |
4 | -53,5 | 7,85E-17 |
5 | -51,875 | 2,42E-16 |
6 | -50,25 | 7,47E-16 |
7 | -48,625 | 2,30E-15 |
8 | -47 | 7,11E-15 |
9 | -45,375 | 2,19E-14 |
10 | -43,75 | 6,76E-14 |
11 | -42,125 | 2,09E-13 |
12 | -40,5 | 6,43E-13 |
13 | -38,875 | 1,98E-12 |
14 | -37,25 | 6,12E-12 |
15 | -35,625 | 1,89E-11 |
16 | -34 | 5,82E-11 |
17 | -32,375 | 1,80E-10 |
18 | -30,75 | 5,54E-10 |
19 | -29,125 | 1,71E-09 |
20 | -27,5 | 5,27E-09 |
21 | -25,875 | 1,62E-08 |
22 | -24,25 | 5,01E-08 |
23 | -22,625 | 1,55E-07 |
24 | -21 | 4,77E-07 |
25 | -19,375 | 1,47E-06 |
26 | -17,75 | 4,54E-06 |
27 | -16,125 | 1,40E-05 |
28 | -14,5 | 4,32E-05 |
29 | -12,875 | 1,33E-04 |
30 | -11,25 | 4,11E-04 |
31 | -9,625 | 1,27E-03 |
32 | -8 | 3,91E-03 |
33 | -7,95 | 4,04E-03 |
34 | -7,9 | 4,19E-03 |
35 | -7,85 | 4,33E-03 |
36 | -7,8 | 4,49E-03 |
37 | -7,75 | 4,65E-03 |
38 | -7,7 | 4,81E-03 |
39 | -7,65 | 4,98E-03 |
40 | -7,6 | 5,15E-03 |
41 | -7,55 | 5,34E-03 |
42 | -7,5 | 5,52E-03 |
43 | -7,45 | 5,72E-03 |
44 | -7,4 | 5,92E-03 |
45 | -7,35 | 6,13E-03 |
46 | -7,3 | 6,35E-03 |
47 | -7,25 | 6,57E-03 |
48 | -7,2 | 6,80E-03 |
49 | -7,15 | 7,04E-03 |
50 | -7,1 | 7,29E-03 |
51 | -7,05 | 7,55E-03 |
52 | -7 | 7,81E-03 |
53 | -6,95 | 8,09E-03 |
54 | -6,9 | 8,37E-03 |
55 | -6,85 | 8,67E-03 |
56 | -6,8 | 8,97E-03 |
57 | -6,75 | 9,29E-03 |
58 | -6,7 | 9,62E-03 |
59 | -6,65 | 9,96E-03 |
60 | -6,6 | 1,03E-02 |
61 | -6,55 | 1,07E-02 |
62 | -6,5 | 1,10E-02 |
63 | -6,45 | 1,14E-02 |
64 | -6,4 | 1,18E-02 |
65 | -6,35 | 1,23E-02 |
66 | -6,3 | 1,27E-02 |
67 | -6,25 | 1,31E-02 |
68 | -6,2 | 1,36E-02 |
69 | -6,15 | 1,41E-02 |
70 | -6,1 | 1,46E-02 |
71 | -6,05 | 1,51E-02 |
72 | -6 | 1,56E-02 |
73 | -5,95 | 1,62E-02 |
74 | -5,9 | 1,67E-02 |
75 | -5,85 | 1,73E-02 |
76 | -5,8 | 1,79E-02 |
77 | -5,75 | 1,86E-02 |
78 | -5,7 | 1,92E-02 |
79 | -5,65 | 1,99E-02 |
80 | -5,6 | 2,06E-02 |
81 | -5,55 | 2,13E-02 |
82 | -5,5 | 2,21E-02 |
83 | -5,45 | 2,29E-02 |
84 | -5,4 | 2,37E-02 |
85 | -5,35 | 2,45E-02 |
86 | -5,3 | 2,54E-02 |
87 | -5,25 | 2,63E-02 |
88 | -5,2 | 2,72E-02 |
89 | -5,15 | 2,82E-02 |
90 | -5,1 | 2,92E-02 |
91 | -5,05 | 3,02E-02 |
92 | -5 | 3,13E-02 |
93 | -4,95 | 3,24E-02 |
94 | -4,9 | 3,35E-02 |
95 | -4,85 | 3,47E-02 |
96 | -4,8 | 3,59E-02 |
97 | -4,75 | 3,72E-02 |
98 | -4,7 | 3,85E-02 |
99 | -4,65 | 3,98E-02 |
100 | -4,6 | 4,12E-02 |
101 | -4,55 | 4,27E-02 |
102 | -4,5 | 4,42E-02 |
103 | -4,45 | 4,58E-02 |
104 | -4,4 | 4,74E-02 |
105 | -4,35 | 4,90E-02 |
106 | -4,3 | 5,08E-02 |
107 | -4,25 | 5,26E-02 |
108 | -4,2 | 5,44E-02 |
109 | -4,15 | 5,63E-02 |
110 | -4,1 | 5,83E-02 |
111 | -4,05 | 6,04E-02 |
112 | -4 | 6,25E-02 |
113 | -3,95 | 6,47E-02 |
114 | -3,9 | 6,70E-02 |
115 | -3,85 | 6,93E-02 |
116 | -3,8 | 7,18E-02 |
117 | -3,75 | 7,43E-02 |
118 | -3,7 | 7,69E-02 |
119 | -3,65 | 7,97E-02 |
120 | -3,6 | 8,25E-02 |
121 | -3,55 | 8,54E-02 |
122 | -3,5 | 8,84E-02 |
123 | -3,45 | 9,15E-02 |
124 | -3,4 | 9,47E-02 |
125 | -3,35 | 9,81E-02 |
126 | -3,3 | 1,02E-01 |
127 | -3,25 | 1,05E-01 |
128 | -3,2 | 1,09E-01 |
129 | -3,15 | 1,13E-01 |
130 | -3,1 | 1,17E-01 |
131 | -3,05 | 1,21E-01 |
132 | -3 | 1,25E-01 |
133 | -2,95 | 1,29E-01 |
134 | -2,9 | 1,34E-01 |
135 | -2,85 | 1,39E-01 |
136 | -2,8 | 1,44E-01 |
137 | -2,75 | 1,49E-01 |
138 | -2,7 | 1,54E-01 |
139 | -2,65 | 1,59E-01 |
140 | -2,6 | 1,65E-01 |
141 | -2,55 | 1,71E-01 |
142 | -2,5 | 1,77E-01 |
143 | -2,45 | 1,83E-01 |
144 | -2,4 | 1,89E-01 |
145 | -2,35 | 1,96E-01 |
146 | -2,3 | 2,03E-01 |
147 | -2,25 | 2,10E-01 |
148 | -2,2 | 2,18E-01 |
149 | -2,15 | 2,25E-01 |
150 | -2,1 | 2,33E-01 |
151 | -2,05 | 2,41E-01 |
152 | -2 | 2,50E-01 |
153 | -1,95 | 2,59E-01 |
154 | -1,9 | 2,68E-01 |
155 | -1,85 | 2,77E-01 |
156 | -1,8 | 2,87E-01 |
157 | -1,75 | 2,97E-01 |
158 | -1,7 | 3,08E-01 |
159 | -1,65 | 3,19E-01 |
160 | -1,6 | 3,30E-01 |
161 | -1,55 | 3,42E-01 |
162 | -1,5 | 3,54E-01 |
163 | -1,45 | 3,66E-01 |
164 | -1,4 | 3,79E-01 |
165 | -1,35 | 3,92E-01 |
166 | -1,3 | 4,06E-01 |
167 | -1,25 | 4,20E-01 |
168 | -1,2 | 4,35E-01 |
169 | -1,15 | 4,51E-01 |
170 | -1,1 | 4,67E-01 |
171 | -1,05 | 4,83E-01 |
172 | -1 | 5,00E-01 |
173 | -0,95 | 5,18E-01 |
174 | -0,9 | 5,36E-01 |
175 | -0,85 | 5,55E-01 |
176 | -0,8 | 5,74E-01 |
177 | -0,75 | 5,95E-01 |
178 | -0,7 | 6,16E-01 |
179 | -0,65 | 6,37E-01 |
180 | -0,6 | 6,60E-01 |
181 | -0,55 | 6,83E-01 |
182 | -0,5 | 7,07E-01 |
183 | -0,45 | 7,32E-01 |
184 | -0,4 | 7,58E-01 |
185 | -0,35 | 7,85E-01 |
186 | -0,3 | 8,12E-01 |
187 | -0,25 | 8,41E-01 |
188 | -0,2 | 8,71E-01 |
189 | -0,15 | 9,01E-01 |
190 | -0,1 | 9,33E-01 |
191 | -0,05 | 9,66E-01 |
192 | 0 | 1,00E+00 |
193 | 1 | 2,00E+00 |
194 | 2 | 4,00E+00 |
195 | 3 | 8,00E+00 |
196 | 4 | 1,60E+01 |
197 | 5 | 3,20E+01 |
198 | 6 | 6,40E+01 |
199 | 7 | 1,28E+02 |
200 | 8 | 2,56E+02 |
201 | 9 | 5,12E+02 |
202 | 10 | 1,02E+03 |
203 | 11 | 2,05E+03 |
204 | 12 | 4,10E+03 |
205 | 13 | 8,19E+03 |
206 | 14 | 1,64E+04 |
207 | 15 | 3,28E+04 |
208 | 16 | 6,55E+04 |
209 | 17 | 1,31E+05 |
210 | 18 | 2,62E+05 |
211 | 19 | 5,24E+05 |
212 | 20 | 1,05E+06 |
213 | 21 | 2,10E+06 |
214 | 22 | 4,19E+06 |
215 | 23 | 8,39E+06 |
216 | 24 | 1,68E+07 |
217 | 25 | 3,36E+07 |
218 | 26 | 6,71E+07 |
219 | 27 | 1,34E+08 |
220 | 28 | 2,68E+08 |
221 | 29 | 5,37E+08 |
222 | 30 | 1,07E+09 |
223 | 31 | 2,15E+09 |
224 | 32 | 4,29E+09 |
225 | 33 | 8,59E+09 |
226 | 34 | 1,72E+10 |
227 | 35 | 3,44E+10 |
228 | 36 | 6,87E+10 |
229 | 37 | 1,37E+11 |
230 | 38 | 2,75E+11 |
231 | 39 | 5,50E+11 |
232 | 40 | 1,10E+12 |
233 | 41 | 2,20E+12 |
234 | 42 | 4,40E+12 |
235 | 43 | 8,80E+12 |
236 | 44 | 1,76E+13 |
237 | 45 | 3,52E+13 |
238 | 46 | 7,04E+13 |
239 | 47 | 1,41E+14 |
240 | 48 | 2,81E+14 |
241 | 49 | 5,63E+14 |
242 | 50 | 1,13E+15 |
243 | 51 | 2,25E+15 |
244 | 52 | 4,50E+15 |
245 | 53 | 9,01E+15 |
246 | 54 | 1,80E+16 |
247 | 55 | 3,60E+16 |
248 | 56 | 7,21E+16 |
249 | 57 | 1,44E+17 |
250 | 58 | 2,88E+17 |
251 | 59 | 5,76E+17 |
252 | 60 | 1,15E+18 |
253 | 61 | 2,31E+18 |
254 | 62 | 4,61E+18 |
255 | 63 | 9,22E+18 |
FeeFactor left shifted
Fee factor is shifted according: - \(\text{bitsShiftPrecision} = 60\) - \(\text{feeFactorShifted} = (\text{feeFactor} << \text{bitsShiftPrecison}) \quad \text{if} \quad i < 192\) - \(\text{feeFactorShifted} = \text{feeFactor} \quad \text{if} \quad i \geq 192\)
feeIndex | feeFactorShifted |
---|---|
0 | 0 |
1 | 3 |
2 | 9 |
3 | 29 |
4 | 90 |
5 | 279 |
6 | 861 |
7 | 2655 |
8 | 8192 |
9 | 25267 |
10 | 77935 |
11 | 240387 |
12 | 741455 |
13 | 2286960 |
14 | 7053950 |
15 | 21757357 |
16 | 67108864 |
17 | 206992033 |
18 | 638450708 |
19 | 1969251187 |
20 | 6074000999 |
21 | 18734780191 |
22 | 57785961645 |
23 | 178236271212 |
24 | 549755813888 |
25 | 1695678735018 |
26 | 5230188203117 |
27 | 16132105731538 |
28 | 49758216191607 |
29 | 153475319327371 |
30 | 473382597799226 |
31 | 1460111533771401 |
32 | 4503599627370496 |
33 | 4662418725241772 |
34 | 4826838566504035 |
35 | 4997056660946426 |
36 | 5173277483525749 |
37 | 5355712719992597 |
38 | 5544581521179432 |
39 | 5740110766256133 |
40 | 5942535335269230 |
41 | 6152098391292193 |
42 | 6369051672525772 |
43 | 6593655794699191 |
44 | 6826180564135515 |
45 | 7066905301857248 |
46 | 7316119179121470 |
47 | 7574121564787630 |
48 | 7841222384935199 |
49 | 8117742495163242 |
50 | 8404014066019092 |
51 | 8700380982019120 |
52 | 9007199254740992 |
53 | 9324837450483544 |
54 | 9653677133008070 |
55 | 9994113321892852 |
56 | 10346554967051498 |
57 | 10711425439985194 |
58 | 11089163042358864 |
59 | 11480221532512266 |
60 | 11885070670538460 |
61 | 12304196782584386 |
62 | 12738103345051544 |
63 | 13187311589398382 |
64 | 13652361128271030 |
65 | 14133810603714496 |
66 | 14632238358242940 |
67 | 15148243129575260 |
68 | 15682444769870398 |
69 | 16235484990326484 |
70 | 16808028132038184 |
71 | 17400761964038240 |
72 | 18014398509481984 |
73 | 18649674900967100 |
74 | 19307354266016140 |
75 | 19988226643785704 |
76 | 20693109934102996 |
77 | 21422850879970388 |
78 | 22178326084717744 |
79 | 22960443065024532 |
80 | 23770141341076920 |
81 | 24608393565168772 |
82 | 25476206690103088 |
83 | 26374623178796784 |
84 | 27304722256542060 |
85 | 28267621207428992 |
86 | 29264476716485880 |
87 | 30296486259150520 |
88 | 31364889539740816 |
89 | 32470969980652968 |
90 | 33616056264076368 |
91 | 34801523928076480 |
92 | 36028797018963968 |
93 | 37299349801934200 |
94 | 38614708532032280 |
95 | 39976453287571408 |
96 | 41386219868205992 |
97 | 42845701759940776 |
98 | 44356652169435488 |
99 | 45920886130049064 |
100 | 47540282682153840 |
101 | 49216787130337544 |
102 | 50952413380206176 |
103 | 52749246357593568 |
104 | 54609444513084120 |
105 | 56535242414857984 |
106 | 58528953432971760 |
107 | 60592972518301040 |
108 | 62729779079481632 |
109 | 64941939961305936 |
110 | 67232112528152736 |
111 | 69603047856152960 |
112 | 72057594037927936 |
113 | 74598699603868352 |
114 | 77229417064064608 |
115 | 79952906575142816 |
116 | 82772439736411984 |
117 | 85691403519881552 |
118 | 88713304338870912 |
119 | 91841772260098192 |
120 | 95080565364307680 |
121 | 98433574260675088 |
122 | 101904826760412352 |
123 | 105498492715187056 |
124 | 109218889026168304 |
125 | 113070484829715968 |
126 | 117057906865943520 |
127 | 121185945036602080 |
128 | 125459558158963264 |
129 | 129883879922611968 |
130 | 134464225056305472 |
131 | 139206095712305920 |
132 | 144115188075855872 |
133 | 149197399207736800 |
134 | 154458834128129216 |
135 | 159905813150285632 |
136 | 165544879472823968 |
137 | 171382807039763104 |
138 | 177426608677741952 |
139 | 183683544520196384 |
140 | 190161130728615360 |
141 | 196867148521350176 |
142 | 203809653520824704 |
143 | 210996985430374272 |
144 | 218437778052336608 |
145 | 226140969659431936 |
146 | 234115813731887040 |
147 | 242371890073204160 |
148 | 250919116317926528 |
149 | 259767759845223936 |
150 | 268928450112610944 |
151 | 278412191424611840 |
152 | 288230376151711744 |
153 | 298394798415473600 |
154 | 308917668256258432 |
155 | 319811626300571264 |
156 | 331089758945647936 |
157 | 342765614079526208 |
158 | 354853217355483904 |
159 | 367367089040392768 |
160 | 380322261457230720 |
161 | 393734297042700352 |
162 | 407619307041649408 |
163 | 421993970860748544 |
164 | 436875556104673216 |
165 | 452281939318863872 |
166 | 468231627463774080 |
167 | 484743780146408320 |
168 | 501838232635853056 |
169 | 519535519690447872 |
170 | 537856900225221888 |
171 | 556824382849223680 |
172 | 576460752303423488 |
173 | 596789596830947200 |
174 | 617835336512516864 |
175 | 639623252601142528 |
176 | 662179517891295872 |
177 | 685531228159052416 |
178 | 709706434710967808 |
179 | 734734178080785536 |
180 | 760644522914461440 |
181 | 787468594085400704 |
182 | 815238614083298816 |
183 | 843987941721497088 |
184 | 873751112209346432 |
185 | 904563878637727744 |
186 | 936463254927548160 |
187 | 969487560292816640 |
188 | 1003676465271706112 |
189 | 1039071039380895744 |
190 | 1075713800450443776 |
191 | 1113648765698447360 |
192 | 1 |
193 | 2 |
194 | 4 |
195 | 8 |
196 | 16 |
197 | 32 |
198 | 64 |
199 | 128 |
200 | 256 |
201 | 512 |
202 | 1024 |
203 | 2048 |
204 | 4096 |
205 | 8192 |
206 | 16384 |
207 | 32768 |
208 | 65536 |
209 | 131072 |
210 | 262144 |
211 | 524288 |
212 | 1048576 |
213 | 2097152 |
214 | 4194304 |
215 | 8388608 |
216 | 16777216 |
217 | 33554432 |
218 | 67108864 |
219 | 134217728 |
220 | 268435456 |
221 | 536870912 |
222 | 1073741824 |
223 | 2147483648 |
224 | 4294967296 |
225 | 8589934592 |
226 | 17179869184 |
227 | 34359738368 |
228 | 68719476736 |
229 | 137438953472 |
230 | 274877906944 |
231 | 549755813888 |
232 | 1099511627776 |
233 | 2199023255552 |
234 | 4398046511104 |
235 | 8796093022208 |
236 | 17592186044416 |
237 | 35184372088832 |
238 | 70368744177664 |
239 | 140737488355328 |
240 | 281474976710656 |
241 | 562949953421312 |
242 | 1125899906842624 |
243 | 2251799813685248 |
244 | 4503599627370496 |
245 | 9007199254740992 |
246 | 18014398509481984 |
247 | 36028797018963968 |
248 | 72057594037927936 |
249 | 144115188075855872 |
250 | 288230376151711744 |
251 | 576460752303423488 |
252 | 1152921504606846976 |
253 | 2305843009213693952 |
254 | 4611686018427387904 |
255 | 9223372036854775808 |