The problem with lap time as a single number
Verstappen’s lap times in the final stint looked nearly identical to Hamilton’s. Both drivers were running in the low 72s to low 73s. Commentary treated this apparent equivalence as evidence of matched machinery and a race decided by wheel-to-wheel skill. The decomposition tells a richer story. That surface equivalence was the product of two opposing forces cancelling each other out: Verstappen’s tyres were aging faster, slowing him down, while he was pushing proportionally harder to compensate, speeding him up. Neither effect shows in the raw lap time. The seven-term identity makes both forces visible by separating what the tyre produced from what the driver contributed.Setup: two drivers, two tyre ages
Hamilton pitted for the third time on lap 44. Verstappen had made his third stop on lap 41. Three laps difference in the moment by race end, it was everything. The table below shows selected laps across the final stint, with compound penalty and driver skill residual pulled directly fromfct_lap_residuals.
Compound Penalty maps to compound_component_s in fct_lap_residuals. Driver Skill maps to driver_skill_residual_s. Both values are in seconds relative to the field pace baseline: positive = slower than baseline, negative = faster than baseline.Finding 1 Constructor parity: the race was not decided by the cars
At the start of the final stint (laps 45–50), Hamilton averaged 72.36 s and Verstappen 72.77 s a 0.41 s gap that almost exactly matches the compound penalty difference from the three-lap tyre age gap between them. Adjust for that structural difference and the two cars were running identical pace. This matters for everything that follows. Red Bull and Mercedes had equivalent structural speed at Interlagos that day. Neither team’s engineers handed their driver a car-level advantage. Every second of margin in the final 28 laps was earned in the pits or on the wheel.Finding 2 Strategy created a 2.91 s tyre advantage
Compound penalty grows roughly linearly with tyre age once a set passes its initial thermal window. By the final lap, the three-lap difference from the pit stop timing had compounded into a structural gulf:
That 2.91 s was manufactured entirely by Mercedes’ decision to pit Hamilton a third time on lap 44 rather than running to the flag on a 36-lap stint. Hamilton surrendered track position to make the stop; the model shows exactly what he received in return.
Finding 3 The overtake (lap 59) was skill and strategy in roughly equal measure
Lap 59 is where Hamilton passed Verstappen for the lead and held it to the flag. The decomposition of the 1.69 s lap time gap on that lap:
Strategy delivered 0.36 s of structural tyre edge on the pass lap. The driver delivered 1.60 s four times as much. Neither alone was decisive. Strip out Verstappen’s tyre disadvantage and Hamilton still had to find the gap; strip out Hamilton’s driving execution and the tyre edge was too small to force a pass cleanly.
Hamilton was also penalised 0.50 s that same lap for running in Verstappen’s dirty wake a cost the decomposition separates cleanly from the skill residual. Without that correction, the lap times alone would understate Hamilton’s actual pace capability.
The dirty-air penalty that never made the headlines
From the moment Hamilton rejoined in the final stint, he spent 13 of his first 14 racing laps in Verstappen’s wake. The model attributed 6.5 s in total dirty-air penalties to those laps time that a commentator watching lap times would read as Hamilton running at roughly Verstappen’s pace or “conserving.” The decomposition shows the car was capable of 72.0–72.1 s in clean air, as laps 59–65 confirm once Hamilton has the lead. The apparent equivalence before the pass was partially the dirty-air cost masking the true pace delta.How the skill residuals grew
The driver skill residual deepens for both drivers across the stint as the tyres degrade a clear signal that both Hamilton and Verstappen were pushing progressively harder to compensate for what their compounds were losing. By lap 65, Verstappen’s compound penalty was +8.30 s but his skill residual was −7.79 s: he was nearly fully compensating through effort. Hamilton’s compound penalty was +5.46 s with a residual of −5.44 s, doing the same from a fresher tyre base. By the final lap the numbers are extraordinary in both directions:
A driver running 9–13 seconds faster than the model’s structural prediction on a single lap is not managing the race. That is the upper limit of what a human can extract from a degraded compound at racing speed. Both drivers were there Verstappen just could not overcome the structural tyre disadvantage the strategy had imposed.
Conclusion: where the 10.5 s came from
From lap 59 to the flag 13 laps Hamilton’s cumulative time was 950.9 s against Verstappen’s 961.9 s. The entire winning margin was accumulated after the overtake. The decomposition breaks that margin into its origins:- 2.91 s from strategy the structural tyre advantage manufactured by the lap 44 pit stop, compounding through the final 28 laps
- 1.60 s from driver execution Hamilton’s skill residual advantage on the overtake lap itself
- The remainder from compounding tyre age differences accumulating across every lap after the pass, amplified by both drivers pushing to their limits