Program Trading is out of Dreamlike (Oasis Dream), who won a maiden over 1m at Lingfield, and is her third foal and second winner. He is a half-brother to the four-time winner Bonneval (Siyouni). Dreamlike is a half-sister to Silk Sari (Dalakhani), who won the Gr.2 Park Hill Stakes and was second in the Gr.1 British Champions Fillies & Mares Stakes, and a full sibling to the Listed-placed Fashion Fund, placed in the Riskaverse Stakes. Dreamlike's other produce includes Alabama Anna (Starspangledbanner), a filly now aged three.

Second dam So Silk (Rainbow Quest) was unraced.

Third dam Gossamer (Sadler's Wells) was a champion and won two Group 1 races, the Gr.1 Fillies' Mile and the Gr.1 Irish 1000 Guineas. A full sister to Barathea, champion, winner of the Gr.1 Irish 2000 Guineas and the Grade 1 Breeders' Cup Mile and later a sire, she had eight runners, seven of them winners, including Ibn Khaldun (Dubai Destination), who won the Gr.1 Futurity Trophy Stakes, the Group 3-placed Calico Cat (Tiger Hill) and the Listed-placed Memory Cloth (Cape Cross). An unraced daughter bred Mischief Magic (Exceed and Excel), winner of the Grade 1 Breeders' Cup Juvenile Turf Sprint and third in the Grade 2 TwinSpires Turf Sprint, and Sound And Silence (Exceed and Excel), winner of the Gr.3 Prix Eclipse.

Younger produce of Dreamlike: a filly by Pinatubo plus a yearling colt by Too Darn Hot.