I saw Messenger of Allah ﷺ walking swiftly from the Black Stone till he completed three circuits up to it. (Using translation from Muslim 1263a)  

رَأَيْتُ رَسُولَ اللهِ ﷺ «رَمَلَ مِنَ الْحَجَرِ الْأَسْوَدِ حَتَّى انْتَهَى إِلَيْهِ ثَلَاثَةَ أَطْوَافٍ»  

[Machine] The Prophet ﷺ ran between Safa and Marwa and around the Kaaba to show the strength of Islam to the pagans. Abdullah said, "I only understand the action but not its purpose as I intended."  

إِنَّمَا «سَعَى رَسُولُ اللهِ ﷺ بَيْنَ الصَّفَا وَالْمَرْوَةِ وَبِالْبَيْتِ لِيُرِيَ الْمُشْرِكِينَ قُوَّتَهُ» اللَّفْظُ لِعَبْدِ اللهِ قَالَ أَبُو عَبْدِ الرَّحْمَنِ «إِنَّمَا سَعَى لَمْ أَفْهَمْهُ كَمَا أَرَدْتُ»  

"When the Prophet and his Companions came to Makkah, the idolaters said: 'The fever of Yathrib has weakened them, and they have suffered a great deal because of it.' Allah informed His Prophet about that, so he told his Companions to walk rapidly, and to walk (at a normal pace) between the two corners, and the idolaters were on the side of the Stone. They said: 'They are stronger than such and such.'" (Using translation from Nasāʾī 2945)   

عَنِ ابْنِ عَبَّاسٍ لَمَّا قَدِمَ النَّبِيُّ ﷺ وَأَصْحَابُهُ قَالَ الْمُشْرِكُونَ وَهَنَتْهُمْ حُمَّى يَثْرِبَ وَلَقُوا مِنْهَا شَرًّا فَأَطْلَعَ اللهُ نَبِيَّهُ ﷺ عَلَى ذَلِكَ «فَأَمَرَ أَصْحَابَهُ أَنْ يَرْمُلُوا وَأَنْ يَمْشُوا مَا بَيْنَ الرُّكْنَيْنِ» وَكَانَ الْمُشْرِكُونَ فِي نَاحِيَةِ الْحَجَرِ فَقَالُوا لَهَؤُلَاءِ أَجْلَدُ مِنْ كَذَا