Herbie run

Date:Saturday, May 18th, 2024
Commit:c2f4097e on main
Hostname:nightly with Racket 8.11.1
Seed:2024139
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce: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: 3.1min)

sample1.0min (32.3%)

Results
20.7s16232×5exit
16.1s48727×1valid
11.6s109103×0valid
2.6s7290×2valid
405.0ms3934×0invalid
129.0ms1360×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 39.6s
ival-pow: 6.4s (16.3% of total)
ival-exp: 5.5s (14% of total)
backward-pass: 5.1s (12.9% of total)
ival-cos: 4.8s (12.2% of total)
ival-mult: 2.9s (7.3% of total)
...c/correct-round.rkt:121:19: 2.8s (7.2% of total)
ival-<=: 1.6s (4.1% of total)
ival-sqrt: 1.4s (3.6% of total)
ival-log: 1.3s (3.2% of total)
ival-add: 1.1s (2.7% of total)
ival-tan: 1.0s (2.6% of total)
ival-acos: 983.0ms (2.5% of total)
ival-fmod: 953.0ms (2.4% of total)
ival-sub: 746.0ms (1.9% of total)
ival-sin: 725.0ms (1.8% of total)
ival-div: 721.0ms (1.8% of total)
ival-sinh: 412.0ms (1% of total)
const: 207.0ms (0.5% of total)
ival-neg: 200.0ms (0.5% of total)
ival-==: 146.0ms (0.4% of total)
ival-and: 135.0ms (0.3% of total)
ival-<: 131.0ms (0.3% of total)
ival-or: 62.0ms (0.2% of total)
ival-atan: 54.0ms (0.1% of total)
ival->=: 52.0ms (0.1% of total)
ival->: 34.0ms (0.1% of total)
Bogosity

simplify26.6s (14.3%)

Algorithm
147×egg-herbie
Rules
42458×fma-define
39340×fma-neg
25859×distribute-lft-in
21448×times-frac
21296×distribute-rgt-in
Stop Event
60×saturated
82×node limit
5×unsound
Counts
32968 → 28374

localize20.1s (10.8%)

Results
6.9s454×5exit
4.9s3852×1valid
3.4s10697×0valid
1.6s632×2valid
497.0ms607×0invalid
55.0ms142×0unsamplable
Compiler

Compiled 9302 to 1361 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.8s
ival-pow: 4.8s (37.6% of total)
ival-mult: 963.0ms (7.5% of total)
ival-cos: 878.0ms (6.9% of total)
ival-log: 863.0ms (6.8% of total)
ival-div: 843.0ms (6.6% of total)
backward-pass: 733.0ms (5.7% of total)
ival-exp: 589.0ms (4.6% of total)
ival-fmod: 575.0ms (4.5% of total)
ival-tan: 415.0ms (3.3% of total)
ival-add: 331.0ms (2.6% of total)
...c/correct-round.rkt:121:19: 322.0ms (2.5% of total)
ival-cbrt: 211.0ms (1.7% of total)
ival-sub: 172.0ms (1.3% of total)
ival-neg: 167.0ms (1.3% of total)
ival-sin: 164.0ms (1.3% of total)
ival-sqrt: 155.0ms (1.2% of total)
ival-acos: 97.0ms (0.8% of total)
ival-fma: 93.0ms (0.7% of total)
ival-log1p: 64.0ms (0.5% of total)
ival-asin: 63.0ms (0.5% of total)
ival-expm1: 63.0ms (0.5% of total)
ival-e: 62.0ms (0.5% of total)
const: 40.0ms (0.3% of total)
ival-sinh: 38.0ms (0.3% of total)
ival-hypot: 32.0ms (0.3% of total)
ival-atan: 14.0ms (0.1% of total)
ival-pi: 8.0ms (0.1% of total)
ival-fabs: 6.0ms (0% of total)

soundness17.2s (9.3%)

Rules
16352×fma-define
15697×log1p-expm1-u
14473×fma-neg
10671×expm1-log1p-u
10602×associate-*r*
Stop Event
6×saturated
57×node limit
10×fuel
2×unsound
10×done
Compiler

Compiled 10789 to 3322 computations (69.2% saved)

rewrite15.0s (8.1%)

Algorithm
63×batch-egg-rewrite
Rules
34041×log1p-expm1-u
27887×expm1-log1p-u
14435×pow1
13379×add-exp-log
13172×add-log-exp
Stop Event
63×node limit
Counts
646 → 21877

eval11.0s (5.9%)

Compiler

Compiled 998278 to 155663 computations (84.4% saved)

prune10.1s (5.4%)

Counts
45890 → 1786
Compiler

Compiled 63069 to 34458 computations (45.4% saved)

regimes8.5s (4.6%)

Counts
4063 → 166
Calls

55 calls:

1.2s
x
1.0s
a
838.0ms
b
760.0ms
r
435.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 1714 to 1210 computations (29.4% saved)

analyze5.5s (3%)

Algorithm
20×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%73.7%26.3%0%0%0%0
22.1%16.3%57.5%26.3%0%0%0%1
44.1%32.5%41.2%26.3%0%0%0%2
52.6%38.7%35%26.3%0%0%0%3
61.9%45.6%28.1%26.3%0%0%0%4
65.2%47.5%25.3%26.3%0%0.9%0%5
66.8%48.4%24%26.3%0%1.1%0.2%6
71.1%51.1%20.8%26.3%0%1.6%0.2%7
72.1%51.6%20%26.3%0%1.8%0.4%8
74.4%53%18.2%26.3%0%2%0.4%9
75.8%53.9%17.2%26.3%0%2.1%0.5%10
76.6%54.3%16.6%26.3%0%2.3%0.5%11
77.3%54.8%16.1%26.3%0%2.3%0.5%12
Compiler

Compiled 295 to 199 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.5s
...c/correct-round.rkt:121:19: 1.4s (38.9% of total)
ival-<=: 812.0ms (23.1% of total)
ival-tan: 172.0ms (4.9% of total)
ival-mult: 143.0ms (4.1% of total)
ival-pow: 115.0ms (3.3% of total)
ival-add: 114.0ms (3.2% of total)
ival-fmod: 112.0ms (3.2% of total)
ival-==: 94.0ms (2.7% of total)
ival-exp: 83.0ms (2.4% of total)
ival-sin: 77.0ms (2.2% of total)
ival-sub: 76.0ms (2.2% of total)
ival-cos: 72.0ms (2.1% of total)
ival-sqrt: 59.0ms (1.7% of total)
ival-and: 56.0ms (1.6% of total)
ival-div: 50.0ms (1.4% of total)
ival-or: 30.0ms (0.9% of total)
ival-log: 20.0ms (0.6% of total)
ival-neg: 20.0ms (0.6% of total)
const: 13.0ms (0.4% of total)
ival-sinh: 13.0ms (0.4% of total)
backward-pass: 6.0ms (0.2% of total)
ival-<: 5.0ms (0.1% of total)
ival->: 4.0ms (0.1% of total)
ival-atan: 1.0ms (0% of total)
ival->=: 1.0ms (0% of total)
ival-acos: 0.0ms (0% of total)

series4.4s (2.3%)

Counts
646 → 11091
Calls

2676 calls:

TimeVariablePointExpression
206.0ms
r
@inf
(/ (* r (sin b)) (- (* (cos b) 1) (* (sin b) (sin a))))
147.0ms
x
@inf
(* -1/4 (pow x 2))
114.0ms
x
@0
(pow (- (tan (+ y z)) (- (tan a) x)) 3)
97.0ms
x
@inf
(neg (log (/ x (sinh x))))
93.0ms
y
@0
(log (atan (/ y x)))

preprocess3.7s (2%)

Algorithm
20×egg-herbie
Rules
5179×fma-neg
5054×fma-define
1625×distribute-rgt-in
1605×unsub-neg
1581×distribute-lft-in
Stop Event
18×saturated
2×node limit
Compiler

Compiled 7494 to 3468 computations (53.7% saved)

explain2.7s (1.4%)

Results
848.0ms2992×1valid
796.0ms6716×0valid
250.0ms90×5exit
163.0ms442×2valid
Compiler

Compiled 1135 to 400 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 250.0ms (19.5% of total)
ival-mult: 181.0ms (14.2% of total)
ival-sub: 165.0ms (12.9% of total)
ival-tan: 129.0ms (10.1% of total)
backward-pass: 74.0ms (5.8% of total)
ival-fmod: 69.0ms (5.4% of total)
ival-log: 67.0ms (5.2% of total)
ival-sqrt: 65.0ms (5.1% of total)
ival-add: 48.0ms (3.8% of total)
ival-sin: 46.0ms (3.6% of total)
ival-exp: 44.0ms (3.4% of total)
ival-div: 42.0ms (3.3% of total)
ival-pow: 38.0ms (3% of total)
ival-acos: 24.0ms (1.9% of total)
ival-sinh: 16.0ms (1.3% of total)
const: 12.0ms (0.9% of total)
ival-neg: 6.0ms (0.5% of total)
ival-atan: 3.0ms (0.2% of total)

bsearch1.2s (0.6%)

Algorithm
35×binary-search
15×left-value
Stop Event
1×predicate-same
32×narrow-enough
2×predicate-failed
Results
546.0ms1598×1valid
367.0ms2562×0valid
24.0ms202×0invalid
17.0ms32×2valid
Compiler

Compiled 6985 to 4901 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 510.0ms
backward-pass: 119.0ms (23.3% of total)
ival-cos: 86.0ms (16.9% of total)
ival-sin: 54.0ms (10.6% of total)
ival-exp: 52.0ms (10.2% of total)
ival-pow: 50.0ms (9.8% of total)
ival-mult: 48.0ms (9.4% of total)
ival-add: 22.0ms (4.3% of total)
ival-div: 20.0ms (3.9% of total)
ival-fmod: 14.0ms (2.7% of total)
ival-acos: 13.0ms (2.5% of total)
ival-neg: 9.0ms (1.8% of total)
ival-tan: 7.0ms (1.4% of total)
ival-sub: 6.0ms (1.2% of total)
const: 5.0ms (1% of total)
ival-sqrt: 4.0ms (0.8% of total)

end0.0ms (0%)

Profiling

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