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All-corpora wins/losses table: ModAB added (totals, violations, A' per problem and total difference against it on every corpus).

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Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
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2026-09-21 21:43:43 +01:00
co-authored by Claude Opus 5
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TOTALS (violations of the 2x-bisection bound in brackets)
corpus A' A plain Chandrupatla Brent TOMS748
APS (154) 2259 (0) 2380 (0) 2634 (0) 2595 (0) 2707 (0) 2636 (0)
Chandrupatla (45) 1074 (0) 1109 (0) 2357 (0) 1505 (0) 3238 (18) 3088 (15)
new corpus 1 (206) 3290 (0) 3380 (0) 5389 (0) 3716 (0) 6395 (38) 5746 (22)
Roots.jl (78) 1371 (0) 1464 (0) 1884 (0) 1566 (0) 2455 (11) 2339 (9)
applied+GSL (132) 1382 (0) 1580 (0) 1590 (0) 1382 (0) 1503 (1) 1756 (1)
FOURTH (240) 3656 (0) 4547 (0) 7711 (0) 5717 (0) 8267 (50) 8084 (37)
corpus A' A plain Chandrupatla ModAB Brent TOMS748
APS (154) 2259 (0) 2380 (0) 2634 (0) 2595 (0) 2726 (0) 2707 (0) 2636 (0)
Chandrupatla (45) 1074 (0) 1109 (0) 2357 (0) 1505 (0) 1681 (0) 3238 (18) 3088 (15)
new corpus 1 (206) 3290 (0) 3380 (0) 5389 (0) 3716 (0) 3809 (1) 6395 (38) 5746 (22)
Roots.jl (78) 1371 (0) 1464 (0) 1884 (0) 1566 (0) 1446 (0) 2455 (11) 2339 (9)
applied+GSL (132) 1382 (0) 1580 (0) 1590 (0) 1382 (0) 1460 (0) 1503 (1) 1756 (1)
FOURTH (240) 3656 (0) 4547 (0) 7711 (0) 5717 (0) 5535 (8) 8267 (50) 8084 (37)
A' PER PROBLEM against each rival: wins/ties/losses (sign-test p); total difference
APS (154) chand 103/20/31 p=3e-10 -13% brent 118/17/19 p=1e-18 -17% toms7 127/6/21 p=1e-19 -14%
Chandrupatla (45) chand 31/4/10 p=0.001 -29% brent 39/3/3 p=6e-09 -67% toms7 42/2/1 p=1e-11 -65%
new corpus 1 (206) chand 108/33/65 p=0.001 -11% brent 141/33/32 p=2e-17 -49% toms7 164/25/17 p=2e-31 -43%
Roots.jl (78) chand 44/14/20 p=0.004 -12% brent 58/7/13 p=6e-08 -44% toms7 65/3/10 p=5e-11 -41%
applied+GSL (132) chand 48/52/32 p=0.09 +0% brent 59/52/21 p=3e-05 -8% toms7 111/16/5 p=4e-27 -21%
FOURTH (240) chand 177/35/28 p=1e-27 -36% brent 143/60/37 p=7e-16 -56% toms7 178/44/18 p=3e-34 -55%
APS (154) chand 103/20/31 p=3e-10 -13% modab 118/10/26 p=3e-15 -17% brent 118/17/19 p=1e-18 -17% toms7 127/6/21 p=1e-19 -14%
Chandrupatla (45) chand 31/4/10 p=0.001 -29% modab 34/4/7 p=3e-05 -36% brent 39/3/3 p=6e-09 -67% toms7 42/2/1 p=1e-11 -65%
new corpus 1 (206) chand 108/33/65 p=0.001 -11% modab 125/26/55 p=2e-07 -14% brent 141/33/32 p=2e-17 -49% toms7 164/25/17 p=2e-31 -43%
Roots.jl (78) chand 44/14/20 p=0.004 -12% modab 47/11/20 p=0.001 -5% brent 58/7/13 p=6e-08 -44% toms7 65/3/10 p=5e-11 -41%
applied+GSL (132) chand 48/52/32 p=0.09 +0% modab 76/35/21 p=2e-08 -5% brent 59/52/21 p=3e-05 -8% toms7 111/16/5 p=4e-27 -21%
FOURTH (240) chand 177/35/28 p=1e-27 -36% modab 183/23/34 p=7e-26 -34% brent 143/60/37 p=7e-16 -56% toms7 178/44/18 p=3e-34 -55%
ALL SIX CORPORA (855 problems): Aprime 13032 A 14460 base 21565 chandrupatla 16481 brent 24565 toms748 23649
ALL SIX CORPORA (855 problems): Aprime 13032 A 14460 base 21565 chandrupatla 16481 modab 16657 brent 24565 toms748 23649