Herbie run

Date:Tuesday, April 9th, 2024
Commit:ec545773 on artem-tuning-cleanup-128start-5ampl
Hostname:nightly with Racket 8.11.1
Seed:2024100
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: 6.6min)

localize1.6min (24%)

Results
19.4s27806×0valid
18.1s2765×1valid
4.7s1304×0invalid
12.6s1135×2valid
19.3s511×5exit
99.0ms138×0unsamplable
2.2s127×3valid
421.0ms6×4valid
Compiler

Compiled 30440 to 18404 computations (39.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1min
ival-mult: 17.2s (26.3% of total)
backward-pass: 11.9s (18.2% of total)
ival-add: 8.5s (13% of total)
ival-div: 8.2s (12.5% of total)
ival-pow: 8.0s (12.2% of total)
ival-sub: 4.7s (7.2% of total)
ival-fma: 2.8s (4.3% of total)
const: 1.5s (2.3% of total)
ival-exp: 961.0ms (1.5% of total)
ival-sqrt: 464.0ms (0.7% of total)
ival-sin: 292.0ms (0.4% of total)
ival-cbrt: 271.0ms (0.4% of total)
ival-log: 213.0ms (0.3% of total)
ival-neg: 174.0ms (0.3% of total)
ival-cos: 59.0ms (0.1% of total)
ival-hypot: 58.0ms (0.1% of total)
ival-expm1: 55.0ms (0.1% of total)
ival-tan: 43.0ms (0.1% of total)
ival-log1p: 31.0ms (0% of total)
ival-atan: 31.0ms (0% of total)
ival-fabs: 5.0ms (0% of total)
ival-pi: 5.0ms (0% of total)

sample1.4min (20.6%)

Results
37.1s286402×0valid
15.7s50198×1valid
6.3s10141×2valid
547.0ms4282×0invalid
129.0ms951×0unsamplable
2.4s202×5exit
4.0ms11×3valid
Precisions
Click to see histograms. Total time spent on operations: 47.4s
ival-mult: 11.0s (23.2% of total)
ival-div: 5.7s (12% of total)
ival-pow: 5.7s (12% of total)
ival-add: 5.0s (10.6% of total)
ival-sub: 4.0s (8.4% of total)
backward-pass: 3.7s (7.9% of total)
ival-<=: 3.1s (6.6% of total)
ival-sin: 2.6s (5.5% of total)
const: 1.2s (2.6% of total)
ival-sqrt: 912.0ms (1.9% of total)
ival-exp: 820.0ms (1.7% of total)
ival-log: 750.0ms (1.6% of total)
ival-cos: 749.0ms (1.6% of total)
ival-and: 462.0ms (1% of total)
ival-neg: 414.0ms (0.9% of total)
ival-fma: 401.0ms (0.8% of total)
ival-==: 286.0ms (0.6% of total)
ival-<: 177.0ms (0.4% of total)
ival-tan: 153.0ms (0.3% of total)
ival-atan: 110.0ms (0.2% of total)
ival-fabs: 47.0ms (0.1% of total)
ival-pi: 40.0ms (0.1% of total)
ival-if: 8.0ms (0% of total)
Bogosity

eval41.2s (10.4%)

Compiler

Compiled 2638015 to 1734945 computations (34.2% saved)

simplify40.3s (10.1%)

Algorithm
166×egg-herbie
Rules
43048×fma-define
37014×distribute-lft-in
33080×distribute-rgt-in
32591×fma-neg
31502×*-commutative
Stop Event
43×saturated
120×node limit
3×unsound
Counts
54652 → 50731

soundness28.1s (7.1%)

Rules
38488×fma-define
26677×fma-neg
25618×log1p-expm1-u
24128×distribute-lft-in
23457×distribute-rgt-in
Stop Event
8×saturated
121×node limit
21×fuel
1×unsound
21×done
Compiler

Compiled 25191 to 15412 computations (38.8% saved)

rewrite26.2s (6.6%)

Algorithm
124×batch-egg-rewrite
Rules
75594×log1p-expm1-u
60961×expm1-log1p-u
23902×pow1
23271×add-exp-log
22593×add-log-exp
Stop Event
1×saturated
123×node limit
Counts
947 → 34393

prune20.9s (5.3%)

Counts
77705 → 1921
Compiler

Compiled 73473 to 50745 computations (30.9% saved)

explain18.6s (4.7%)

Results
6.0s16822×0valid
5.5s3776×1valid
2.0s888×2valid
346.0ms10×3valid
226.0ms8×5exit
Compiler

Compiled 7687 to 4921 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.8s
ival-mult: 4.0s (33.8% of total)
ival-div: 1.5s (13% of total)
ival-pow: 1.5s (12.7% of total)
ival-add: 1.5s (12.4% of total)
backward-pass: 1.2s (10.4% of total)
ival-sub: 999.0ms (8.5% of total)
ival-log: 312.0ms (2.6% of total)
const: 271.0ms (2.3% of total)
ival-sin: 156.0ms (1.3% of total)
ival-exp: 107.0ms (0.9% of total)
ival-neg: 101.0ms (0.9% of total)
ival-sqrt: 54.0ms (0.5% of total)
ival-cos: 38.0ms (0.3% of total)
ival-fma: 17.0ms (0.1% of total)
ival-atan: 12.0ms (0.1% of total)
ival-tan: 9.0ms (0.1% of total)
ival-pi: 2.0ms (0% of total)

bsearch11.7s (2.9%)

Algorithm
224×binary-search
18×left-value
Stop Event
21×predicate-same
203×narrow-enough
Results
6.2s23538×0valid
1.7s3083×1valid
156.0ms998×0invalid
265.0ms275×2valid
Compiler

Compiled 55290 to 39622 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.9s
ival-mult: 2.3s (32.9% of total)
ival-add: 1.7s (24.1% of total)
ival-div: 1.5s (21.2% of total)
ival-sub: 557.0ms (8.1% of total)
ival-pow: 426.0ms (6.2% of total)
backward-pass: 262.0ms (3.8% of total)
const: 140.0ms (2% of total)
ival-neg: 56.0ms (0.8% of total)
ival-exp: 41.0ms (0.6% of total)
ival-sqrt: 30.0ms (0.4% of total)
ival-pi: 1.0ms (0% of total)

analyze10.4s (2.6%)

Algorithm
43×search
2×random
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%54.5%45.5%0%0%0%0
21.4%11.7%42.9%45.5%0%0%0%1
37.4%20.4%34.1%45.5%0%0%0%2
49.8%26.2%26.5%45.5%0%1.7%0%3
58.3%30.7%22%45.5%0%1.8%0%4
71.6%37.7%15%45.6%0%1.8%0%5
73.1%38.4%14.1%45.6%0%1.8%0%6
78%40.7%11.5%45.6%0%2.1%0%7
81.5%42.6%9.6%45.7%0%2.1%0%8
84.1%43.8%8.3%45.7%0%2.2%0%9
86.2%44.6%7.1%45.7%0%2.5%0%10
88.2%45.6%6.1%45.7%0%2.5%0.1%11
89.1%45.9%5.6%45.7%0%2.6%0.1%12
Compiler

Compiled 1441 to 1017 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.4s
ival-add: 1.3s (18% of total)
ival-pow: 1.2s (16.9% of total)
ival-sqrt: 1.1s (14.4% of total)
ival-mult: 1.0s (13.8% of total)
ival-div: 944.0ms (12.8% of total)
ival-sub: 819.0ms (11.1% of total)
ival-fabs: 311.0ms (4.2% of total)
const: 147.0ms (2% of total)
ival-exp: 145.0ms (2% of total)
ival-if: 102.0ms (1.4% of total)
ival-<=: 83.0ms (1.1% of total)
ival-==: 71.0ms (1% of total)
ival-<: 30.0ms (0.4% of total)
ival-neg: 23.0ms (0.3% of total)
ival-and: 16.0ms (0.2% of total)
backward-pass: 7.0ms (0.1% of total)
ival-pi: 6.0ms (0.1% of total)
ival-cos: 1.0ms (0% of total)
ival-atan: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-fma: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-log: 0.0ms (0% of total)

preprocess9.3s (2.4%)

Algorithm
42×egg-herbie
Rules
18568×fma-define
18480×fma-neg
9939×unsub-neg
9280×sub-neg
7631×distribute-rgt-in
Stop Event
20×saturated
22×node limit
Compiler

Compiled 19042 to 11688 computations (38.6% saved)

regimes8.3s (2.1%)

Counts
3710 → 487
Calls

94 calls:

1.1s
x1
614.0ms
b
524.0ms
x
503.0ms
d
469.0ms
a
Compiler

Compiled 3904 to 2744 computations (29.7% saved)

series4.7s (1.2%)

Counts
947 → 20259
Calls

5025 calls:

TimeVariablePointExpression
142.0ms
i
@0
(* n (/ (* (- (exp (* n (log (+ 1 (/ i n))))) 1) 100) i))
81.0ms
n
@0
(* (* n (/ (- (exp i) 1) i)) 100)
58.0ms
a
@0
(log (* -2 (* a (/ c b))))
53.0ms
t1
@0
(* t1 (/ v (+ t1 u)))
50.0ms
c
@0
(log (* -2 (* a (/ c b))))

end0.0ms (0%)

Profiling

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