nir/algebraic: Replace checks that a value is between (or not) [0, 1]

v2: Add an extra line to one of the proofs.  Suggested by Caio.

All Gen7+ platforms had similar results. (Ice Lake shown)
total instructions in shared programs: 16329772 -> 16329427 (<.01%)
instructions in affected programs: 41980 -> 41635 (-0.82%)
helped: 110
HURT: 0
helped stats (abs) min: 1 max: 20 x̄: 3.14 x̃: 2
helped stats (rel) min: 0.19% max: 5.56% x̄: 1.12% x̃: 0.94%
95% mean confidence interval for instructions value: -4.10 -2.17
95% mean confidence interval for instructions %-change: -1.28% -0.96%
Instructions are helped.

total cycles in shared programs: 367551273 -> 367549979 (<.01%)
cycles in affected programs: 492462 -> 491168 (-0.26%)
helped: 76
HURT: 25
helped stats (abs) min: 1 max: 400 x̄: 42.86 x̃: 12
helped stats (rel) min: 0.06% max: 10.72% x̄: 1.23% x̃: 0.75%
HURT stats (abs)   min: 2 max: 730 x̄: 78.52 x̃: 16
HURT stats (rel)   min: 0.17% max: 6.89% x̄: 2.08% x̃: 1.23%
95% mean confidence interval for cycles value: -37.79 12.16
95% mean confidence interval for cycles %-change: -0.90% 0.07%
Inconclusive result (value mean confidence interval includes 0).

LOST:   0
GAINED: 2

Sandy Bridge
total instructions in shared programs: 10831115 -> 10830836 (<.01%)
instructions in affected programs: 37830 -> 37551 (-0.74%)
helped: 70
HURT: 0
helped stats (abs) min: 1 max: 20 x̄: 3.99 x̃: 2
helped stats (rel) min: 0.33% max: 7.14% x̄: 1.21% x̃: 0.97%
95% mean confidence interval for instructions value: -5.47 -2.50
95% mean confidence interval for instructions %-change: -1.49% -0.92%
Instructions are helped.

total cycles in shared programs: 154029323 -> 154028477 (<.01%)
cycles in affected programs: 247909 -> 247063 (-0.34%)
helped: 52
HURT: 6
helped stats (abs) min: 2 max: 254 x̄: 25.81 x̃: 4
helped stats (rel) min: 0.07% max: 4.39% x̄: 0.81% x̃: 0.19%
HURT stats (abs)   min: 4 max: 403 x̄: 82.67 x̃: 8
HURT stats (rel)   min: 0.18% max: 1.60% x̄: 0.71% x̃: 0.53%
95% mean confidence interval for cycles value: -34.83 5.65
95% mean confidence interval for cycles %-change: -0.98% -0.32%
Inconclusive result (value mean confidence interval includes 0).

Iron Lake
total instructions in shared programs: 8138007 -> 8137966 (<.01%)
instructions in affected programs: 4060 -> 4019 (-1.01%)
helped: 31
HURT: 0
helped stats (abs) min: 1 max: 2 x̄: 1.32 x̃: 1
helped stats (rel) min: 0.68% max: 8.33% x̄: 1.45% x̃: 0.90%
95% mean confidence interval for instructions value: -1.50 -1.15
95% mean confidence interval for instructions %-change: -2.11% -0.79%
Instructions are helped.

total cycles in shared programs: 188539492 -> 188539386 (<.01%)
cycles in affected programs: 26280 -> 26174 (-0.40%)
helped: 25
HURT: 0
helped stats (abs) min: 2 max: 8 x̄: 4.24 x̃: 4
helped stats (rel) min: 0.08% max: 2.11% x̄: 0.54% x̃: 0.50%
95% mean confidence interval for cycles value: -5.08 -3.40
95% mean confidence interval for cycles %-change: -0.70% -0.37%
Cycles are helped.

GM45
total instructions in shared programs: 5008897 -> 5008876 (<.01%)
instructions in affected programs: 2096 -> 2075 (-1.00%)
helped: 16
HURT: 0
helped stats (abs) min: 1 max: 2 x̄: 1.31 x̃: 1
helped stats (rel) min: 0.68% max: 7.69% x̄: 1.41% x̃: 0.89%
95% mean confidence interval for instructions value: -1.57 -1.06
95% mean confidence interval for instructions %-change: -2.32% -0.49%
Instructions are helped.

total cycles in shared programs: 128969020 -> 128968950 (<.01%)
cycles in affected programs: 18490 -> 18420 (-0.38%)
helped: 15
HURT: 0
helped stats (abs) min: 2 max: 8 x̄: 4.67 x̃: 4
helped stats (rel) min: 0.08% max: 2.11% x̄: 0.51% x̃: 0.48%
95% mean confidence interval for cycles value: -6.03 -3.30
95% mean confidence interval for cycles %-change: -0.78% -0.24%
Cycles are helped.

Reviewed-by: Caio Marcelo de Oliveira Filho <[email protected]>

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