Herbie run

Date:Thursday, May 23rd, 2024
Commit:7841f259 on main
Hostname:nightly with Racket 8.11.1
Seed:2024144
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: 5.6min)

sample2.7min (48%)

Results
42.3s55270×2valid
30.4s140610×0precondition
30.2s116255×1valid
26.6s7179×5exit
6.9s57045×0valid
3.7s2598×3valid
509.0ms4238×0unsamplable
486.0ms4006×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.0min
ival-pow: 24.8s (20.8% of total)
ival-tan: 13.5s (11.3% of total)
ival-exp: 12.7s (10.6% of total)
ival-mult: 10.2s (8.5% of total)
ival-sub: 8.4s (7% of total)
backward-pass: 6.4s (5.4% of total)
...c/correct-round.rkt:121:19: 6.1s (5.1% of total)
ival-log: 5.7s (4.8% of total)
ival-div: 5.0s (4.2% of total)
ival-cos: 4.7s (3.9% of total)
ival-add: 4.6s (3.9% of total)
ival-<=: 3.4s (2.9% of total)
ival-sin: 3.4s (2.8% of total)
ival-fabs: 3.0s (2.5% of total)
ival-<: 2.1s (1.7% of total)
ival-sqrt: 1.3s (1.1% of total)
ival->: 1.0s (0.9% of total)
ival-and: 707.0ms (0.6% of total)
const: 609.0ms (0.5% of total)
ival-fmin: 557.0ms (0.5% of total)
ival-neg: 509.0ms (0.4% of total)
ival-atan: 374.0ms (0.3% of total)
ival-cbrt: 310.0ms (0.3% of total)
Bogosity

simplify44.1s (13.1%)

Algorithm
245×egg-herbie
Rules
84952×fma-define
78498×fma-neg
50147×distribute-lft-in
45157×times-frac
44243×distribute-rgt-in
Stop Event
74×saturated
169×node limit
2×unsound
Counts
57318 → 57916

soundness25.5s (7.5%)

Rules
33360×log1p-expm1-u
30040×fma-define
27004×expm1-log1p-u
23673×fma-neg
17212×associate-*r*
Stop Event
8×saturated
109×node limit
23×fuel
5×done
Compiler

Compiled 18456 to 5734 computations (68.9% saved)

rewrite24.5s (7.3%)

Algorithm
108×batch-egg-rewrite
Rules
67162×log1p-expm1-u
51850×expm1-log1p-u
21861×pow1
21102×add-exp-log
21077×add-cube-cbrt
Stop Event
108×node limit
Counts
1235 → 38895

localize23.7s (7%)

Results
7.3s8126×1valid
5.1s4303×2valid
4.4s13533×0valid
858.0ms1556×0invalid
558.0ms296×3valid
150.0ms48×5exit
20.0ms42×0unsamplable
Compiler

Compiled 17408 to 2503 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.6s
ival-mult: 1.9s (16.3% of total)
ival-add: 1.4s (12.4% of total)
ival-div: 1.4s (12.2% of total)
ival-pow: 1.3s (11.3% of total)
backward-pass: 1.2s (10.1% of total)
ival-sub: 866.0ms (7.4% of total)
ival-log: 589.0ms (5.1% of total)
...c/correct-round.rkt:121:19: 531.0ms (4.6% of total)
ival-tan: 456.0ms (3.9% of total)
ival-cos: 318.0ms (2.7% of total)
ival-sqrt: 312.0ms (2.7% of total)
ival-fma: 180.0ms (1.5% of total)
ival-neg: 175.0ms (1.5% of total)
ival-sin: 172.0ms (1.5% of total)
ival-log1p: 162.0ms (1.4% of total)
ival-exp: 151.0ms (1.3% of total)
ival-hypot: 102.0ms (0.9% of total)
ival-cbrt: 102.0ms (0.9% of total)
const: 97.0ms (0.8% of total)
ival-cosh: 65.0ms (0.6% of total)
ival-expm1: 64.0ms (0.6% of total)
ival-atan: 30.0ms (0.3% of total)
ival-atan2: 27.0ms (0.2% of total)

prune16.6s (4.9%)

Counts
79882 → 1952
Compiler

Compiled 60816 to 34854 computations (42.7% saved)

eval14.8s (4.4%)

Compiler

Compiled 1850630 to 296746 computations (84% saved)

explain6.7s (2%)

Results
2.4s3446×2valid
2.1s7312×1valid
590.0ms3416×0valid
186.0ms162×3valid
Compiler

Compiled 2227 to 707 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-tan: 643.0ms (19% of total)
ival-exp: 514.0ms (15.2% of total)
backward-pass: 303.0ms (8.9% of total)
ival-sub: 284.0ms (8.4% of total)
ival-mult: 282.0ms (8.3% of total)
ival-log: 269.0ms (7.9% of total)
ival-div: 248.0ms (7.3% of total)
ival-cos: 210.0ms (6.2% of total)
ival-sin: 199.0ms (5.9% of total)
ival-add: 157.0ms (4.6% of total)
ival-pow: 101.0ms (3% of total)
ival-sqrt: 81.0ms (2.4% of total)
const: 29.0ms (0.9% of total)
ival-cbrt: 26.0ms (0.8% of total)
ival-neg: 25.0ms (0.7% of total)
ival-atan: 22.0ms (0.6% of total)

series5.5s (1.6%)

Counts
1235 → 18423
Calls

4947 calls:

TimeVariablePointExpression
235.0ms
x
@-inf
(+ 1/6 (* x 1/24))
85.0ms
eps
@-inf
(log (/ (+ eps 1) (- 1 eps)))
82.0ms
b
@inf
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* a 2))
79.0ms
x
@0
(exp (* (log x) 1/3))
75.0ms
n
@0
(* n (log n))

preprocess4.7s (1.4%)

Algorithm
28×egg-herbie
Rules
8308×fma-neg
6663×fma-define
4279×div-sub
2669×sub-neg
2621×times-frac
Stop Event
23×saturated
5×node limit
Compiler

Compiled 8982 to 3548 computations (60.5% saved)

analyze3.4s (1%)

Algorithm
28×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%61.1%38.9%0%0%0%0
6.1%3.7%57.4%38.9%0%0%0%1
16.5%10.1%51%38.9%0%0%0%2
35.3%20.6%37.8%41.6%0%0%0%3
46.1%26.9%31.4%41.7%0%0%0%4
54.8%31.5%26%42.4%0%0%0%5
57.1%32.5%24.4%43.1%0%0%0%6
61.5%33.9%21.3%44%0%0.8%0.1%7
64.6%35.3%19.3%44.5%0%0.8%0.1%8
67.1%36%17.6%44.9%0%1.2%0.3%9
69.1%36.5%16.3%45.2%0%1.7%0.3%10
71.7%37.5%14.8%45.4%0%1.9%0.4%11
72.8%37.8%14.1%45.6%0%2.2%0.4%12
Compiler

Compiled 498 to 322 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 389.0ms (20.9% of total)
ival-pow: 235.0ms (12.6% of total)
ival-sub: 232.0ms (12.5% of total)
...c/correct-round.rkt:121:19: 172.0ms (9.3% of total)
ival-log: 135.0ms (7.3% of total)
ival-div: 111.0ms (6% of total)
ival-<=: 83.0ms (4.5% of total)
ival-exp: 71.0ms (3.8% of total)
ival-sin: 69.0ms (3.7% of total)
ival-add: 61.0ms (3.3% of total)
ival-sqrt: 59.0ms (3.2% of total)
ival-fabs: 51.0ms (2.7% of total)
ival-cos: 40.0ms (2.2% of total)
ival-tan: 39.0ms (2.1% of total)
ival-neg: 32.0ms (1.7% of total)
const: 21.0ms (1.1% of total)
ival->: 20.0ms (1.1% of total)
ival-and: 12.0ms (0.6% of total)
ival-<: 10.0ms (0.5% of total)
backward-pass: 7.0ms (0.4% of total)
ival-fmin: 7.0ms (0.4% of total)
ival-atan: 0.0ms (0% of total)
ival-cbrt: 0.0ms (0% of total)

regimes3.3s (1%)

Counts
3670 → 283
Calls

43 calls:

995.0ms
x
275.0ms
eps
152.0ms
(/.f64 #s(literal 1 binary64) n)
149.0ms
b_2
143.0ms
b
Compiler

Compiled 1470 to 986 computations (32.9% saved)

bsearch2.7s (0.8%)

Algorithm
77×binary-search
18×left-value
Stop Event
1×predicate-same
76×narrow-enough
Results
1.2s8123×0valid
368.0ms1867×1valid
357.0ms2313×0invalid
155.0ms426×2valid
7.0ms55×0unsamplable
Compiler

Compiled 17194 to 12101 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 631.0ms (43% of total)
ival-pow: 228.0ms (15.5% of total)
ival-sub: 139.0ms (9.5% of total)
ival-div: 118.0ms (8% of total)
ival-sqrt: 90.0ms (6.1% of total)
ival-add: 60.0ms (4.1% of total)
ival-neg: 57.0ms (3.9% of total)
ival-cos: 46.0ms (3.1% of total)
backward-pass: 41.0ms (2.8% of total)
const: 18.0ms (1.2% of total)
ival-exp: 17.0ms (1.2% of total)
ival-cbrt: 14.0ms (1% of total)
ival-sin: 10.0ms (0.7% of total)

end0.0ms (0%)

Profiling

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