Herbie run

Date:Saturday, December 9th, 2023
Commit:665878db on main
Hostname:nightly with Racket 8.6
Seed:2023343
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 8.2min)

localize1.4min (17.4%)

Compiler

Compiled 38218 to 20692 computations (45.9% saved)

sample1.4min (17%)

Results
37.3s179799×body256valid
11.9s66564×body256invalid
7.9s42258×body256infinite
6.2s12175×body1024valid
6.1s10157×body2048valid
3.6s5922×body1024invalid
2.4s1975×body4096valid
2.2s6766×body512valid
2.1s685×body4096infinite
1.2s3047×body512invalid
1.2s615×body2048infinite
975.0ms756×body8192valid
235.0ms454×body1024infinite
131.0ms188×body256unsamplable
98.0ms296×body512infinite
5.0msbody8192exit
2.0msbody2048invalid
Bogosity

soundness1.2min (14.3%)

Rules
160100×fma-def
131268×associate-*r*
127828×times-frac
114198×log-prod
106006×associate-*l*
Stop Event
unsound
saturated
320×node limit
Compiler

Compiled 34303 to 21193 computations (38.2% saved)

eval1.1min (13.6%)

Compiler

Compiled 3113853 to 2032771 computations (34.7% saved)

regimes52.9s (10.7%)

Counts
8811 → 731
Calls

152 calls:

4.3s
l
3.2s
t
2.8s
k
2.5s
mu
2.3s
F
Compiler

Compiled 142431 to 80707 computations (43.3% saved)

simplify36.0s (7.3%)

Algorithm
150×egg-herbie
Rules
94924×fma-def
66412×times-frac
64670×associate-*r*
57876×log-prod
57436×*-commutative
Stop Event
unsound
31×saturated
done
25×fuel
118×node limit
Counts
62954 → 49926
Compiler

Compiled 12741 to 8529 computations (33.1% saved)

prune26.4s (5.3%)

Counts
90556 → 2861
Compiler

Compiled 212801 to 153960 computations (27.7% saved)

rewrite18.9s (3.8%)

Algorithm
119×batch-egg-rewrite
Rules
61008×log1p-expm1-u
47057×expm1-log1p-u
41386×expm1-udef
37918×log1p-udef
32608×log-prod
Stop Event
unsound
118×node limit
Counts
1216 → 35195

preprocess15.4s (3.1%)

Algorithm
31×egg-herbie
Rules
40752×fma-def
16580×fma-neg
15360×div-sub
14408×distribute-lft-neg-in
13246×associate-/l*
Stop Event
saturated
27×node limit
Compiler

Compiled 55964 to 34719 computations (38% saved)

bsearch14.7s (3%)

Algorithm
348×binary-search
71×left-value
Stop Event
343×narrow-enough
predicate-same
Results
7.3s32172×body256valid
1.8s9146×body256invalid
1.7s6678×body256infinite
616.0ms1202×body1024valid
480.0ms712×body2048valid
369.0ms489×body4096valid
329.0ms168×body512invalid
206.0ms133×body4096infinite
182.0ms556×body512valid
167.0ms176×body2048infinite
104.0ms96×body8192valid
97.0ms234×body1024invalid
65.0ms150×body1024infinite
22.0ms84×body512infinite
Compiler

Compiled 106678 to 81432 computations (23.7% saved)

series11.9s (2.4%)

Counts
1216 → 27759
Calls

8187 calls:

TimeVariablePointExpression
297.0ms
h
@0
(*.f64 (/.f64 (/.f64 c0 w) 2) (fma.f64 (/.f64 (/.f64 c0 w) h) (*.f64 (/.f64 d D) (/.f64 d D)) (-.f64 (/.f64 (*.f64 1/2 (*.f64 (pow.f64 D 2) (*.f64 h (*.f64 w 0)))) (pow.f64 d 2)) (/.f64 (/.f64 c0 (*.f64 h w)) (/.f64 (pow.f64 D 2) (pow.f64 d 2))))))
281.0ms
d
@0
(*.f64 (/.f64 (/.f64 c0 w) 2) (fma.f64 (/.f64 (/.f64 c0 w) h) (*.f64 (/.f64 d D) (/.f64 d D)) (-.f64 (/.f64 (*.f64 1/2 (*.f64 (pow.f64 D 2) (*.f64 h (*.f64 w 0)))) (pow.f64 d 2)) (/.f64 (/.f64 c0 (*.f64 h w)) (/.f64 (pow.f64 D 2) (pow.f64 d 2))))))
273.0ms
h
@inf
(*.f64 (/.f64 (/.f64 c0 w) 2) (fma.f64 (/.f64 (/.f64 c0 w) h) (*.f64 (/.f64 d D) (/.f64 d D)) (-.f64 (/.f64 (*.f64 1/2 (*.f64 (pow.f64 D 2) (*.f64 h (*.f64 w 0)))) (pow.f64 d 2)) (/.f64 (/.f64 c0 (*.f64 h w)) (/.f64 (pow.f64 D 2) (pow.f64 d 2))))))
264.0ms
c0
@0
(*.f64 (/.f64 (/.f64 c0 w) 2) (fma.f64 (/.f64 (/.f64 c0 w) h) (*.f64 (/.f64 d D) (/.f64 d D)) (-.f64 (/.f64 (*.f64 1/2 (*.f64 (pow.f64 D 2) (*.f64 h (*.f64 w 0)))) (pow.f64 d 2)) (/.f64 (/.f64 c0 (*.f64 h w)) (/.f64 (pow.f64 D 2) (pow.f64 d 2))))))
243.0ms
D
@-inf
(sqrt.f64 (-.f64 1 (/.f64 (*.f64 (pow.f64 (*.f64 M (*.f64 (/.f64 1/2 d) D)) 2) h) l)))

analyze9.7s (2%)

Algorithm
31×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%98.2%1.8%0%0%0%0
23%22.6%75.6%1.8%0%0%0%1
24.2%23.3%73.2%1.8%0%1.6%0%2
29.6%27.4%65.2%1.8%0%5.6%0%3
33.6%30.4%60.2%1.8%0%7.3%0.4%4
35.9%32.4%57.9%1.8%0%7.3%0.6%5
40.2%36.2%53.8%1.8%0%7.5%0.7%6
45.3%40.3%48.7%1.8%0%8.1%1.1%7
47.6%41.8%45.9%1.8%0%9.4%1.2%8
50.6%44.1%43.1%1.8%0%9.7%1.2%9
51.7%44.9%41.9%1.8%0%10.1%1.3%10
53.4%46%40.1%1.8%0%10.7%1.3%11
55.2%47.2%38.3%1.8%0%11.3%1.4%12
Compiler

Compiled 845 to 604 computations (28.5% saved)

end14.0ms (0%)

Profiling

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