Herbie run

Date:Wednesday, November 27th, 2024
Commit:a25f782f on bhargav-double-double
Hostname:nightly with Racket 8.10
Seed:2024332
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce:regimesreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 38.3s)

sample12.5s (32.6%)

Memory
231.9MiB live, 10 765.3MiB allocated
Samples
7.9s70 206×0valid
965.0ms4 088×2valid
314.0ms2 007×0invalid
1.0ms10×1valid
Precisions
Click to see histograms. Total time spent on operations: 6.6s
ival-mult: 1.7s (25.3% of total)
ival-sub: 1.4s (21.7% of total)
ival-div: 1.1s (16.6% of total)
ival-add: 638.0ms (9.6% of total)
ival-neg: 544.0ms (8.2% of total)
ival-sqrt: 356.0ms (5.4% of total)
ival-if: 184.0ms (2.8% of total)
ival->=: 124.0ms (1.9% of total)
ival-exp: 110.0ms (1.7% of total)
ival-log: 110.0ms (1.7% of total)
adjust: 103.0ms (1.6% of total)
ival-fabs: 90.0ms (1.4% of total)
exact: 59.0ms (0.9% of total)
ival-true: 58.0ms (0.9% of total)
ival-assert: 31.0ms (0.5% of total)
Bogosity

soundness6.9s (17.9%)

Memory
20.6MiB live, 2 192.4MiB allocated
Stop Event
45×iter limit
27×node limit
fuel
done
saturated
Compiler

Compiled 2 245 to 1 141 computations (49.2% saved)

simplify6.1s (15.9%)

Memory
-258.5MiB live, 4 104.7MiB allocated
Algorithm
57×egg-herbie
Stop Event
73×iter limit
32×saturated
27×node limit
Counts
900 → 882

rewrite5.0s (13%)

Memory
31.1MiB live, 3 907.2MiB allocated
Stop Event
55×iter limit
23×node limit
unsound
saturated
Counts
213 → 12 499

eval1.8s (4.7%)

Memory
40.0MiB live, 2 101.7MiB allocated
Compiler

Compiled 258 613 to 36 926 computations (85.7% saved)

localize1.4s (3.6%)

Memory
55.0MiB live, 1 405.7MiB allocated
Samples
723.0ms5 921×0valid
77.0ms244×2valid
38.0ms117×0exit
37.0ms115×1exit
0.0ms1valid
Compiler

Compiled 3 729 to 813 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 573.0ms
ival-div: 161.0ms (28.1% of total)
ival-mult: 97.0ms (16.9% of total)
ival-sub: 66.0ms (11.5% of total)
ival-pow: 55.0ms (9.6% of total)
ival-add: 52.0ms (9.1% of total)
ival-neg: 30.0ms (5.2% of total)
ival-sqrt: 21.0ms (3.7% of total)
ival-log: 21.0ms (3.7% of total)
ival-exp: 19.0ms (3.3% of total)
adjust: 15.0ms (2.6% of total)
ival-fabs: 15.0ms (2.6% of total)
exact: 7.0ms (1.2% of total)
ival-e: 5.0ms (0.9% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
ival-cbrt: 2.0ms (0.3% of total)

explain1.3s (3.3%)

Memory
-83.8MiB live, 1 254.1MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))cancellation1220
sqrt.f64(sqrt.f64 (*.f64 x x))uflow-rescue660
(*.f64 x x)underflow66
sqrt.f64(sqrt.f64 (*.f64 x x))oflow-rescue500
(*.f64 x x)overflow50
-.f64(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))nan-rescue170
(/.f64 (+.f64 x #s(literal 4 binary64)) y)overflow41
(/.f64 x y)overflow40
(*.f64 (/.f64 x y) z)overflow55
*.f64(*.f64 (/.f64 x y) z)n*o90
*.f64(*.f64 (/.f64 x y) z)n*u90
exp.f64(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))sensitivity10
Confusion
Predicted +Predicted -
+1610
-581573
Precision
0.7351598173515982
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16100
-5801573
Precision?
0.7351598173515982
Recall?
1.0
Freqs
test
numberfreq
01573
1164
255
Total Confusion?
Predicted +Predicted MaybePredicted -
+300
-004
Precision?
1.0
Recall?
1.0
Samples
297.0ms3 339×0valid
41.0ms245×2valid
0.0ms1valid
Compiler

Compiled 1 383 to 512 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-div: 100.0ms (43.8% of total)
ival-log: 32.0ms (14% of total)
ival-mult: 23.0ms (10.1% of total)
ival-sub: 22.0ms (9.6% of total)
ival-sqrt: 15.0ms (6.6% of total)
ival-neg: 7.0ms (3.1% of total)
adjust: 6.0ms (2.6% of total)
ival-add: 6.0ms (2.6% of total)
ival-fabs: 5.0ms (2.2% of total)
ival-exp: 4.0ms (1.8% of total)
ival-true: 3.0ms (1.3% of total)
ival-assert: 2.0ms (0.9% of total)
exact: 2.0ms (0.9% of total)
ival-if: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)

preprocess1.0s (2.6%)

Memory
93.9MiB live, 736.4MiB allocated
Algorithm
egg-herbie
Stop Event
14×iter limit
11×saturated
node limit
Compiler

Compiled 2 721 to 878 computations (67.7% saved)

regimes884.0ms (2.3%)

Memory
20.2MiB live, 662.9MiB allocated
Counts
388 → 69
Calls

23 calls:

235.0ms
(/.f64 #s(literal 1 binary64) x)
154.0ms
x
42.0ms
z
39.0ms
(*.f64 x x)
37.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x x))
Compiler

Compiled 713 to 652 computations (8.6% saved)

analyze663.0ms (1.7%)

Memory
-44.6MiB live, 437.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
22.2%22.2%77.7%0.1%0%0%0%1
29.4%27.8%66.6%0.1%0%5.6%0%2
50%44.4%44.4%0.1%0%11.1%0%3
59.7%51.3%34.7%0.1%0%13.9%0%4
67.2%56.9%27.7%0.1%0%15.3%0%5
74.4%62.4%21.5%0.1%0%16%0%6
78.9%64.9%17.3%0.1%0%17.7%0%7
80.8%66.3%15.8%0.1%0%17.9%0%8
85.9%69.9%11.5%0.1%0%18.5%0%9
88%70.7%9.7%0.1%0%19.6%0%10
90%72.1%8%0.1%0%19.8%0%11
92.3%73.5%6.2%0.1%0%20.3%0%12
Compiler

Compiled 153 to 106 computations (30.7% saved)

prune341.0ms (0.9%)

Memory
74.2MiB live, 673.2MiB allocated
Counts
11 097 → 182
Compiler

Compiled 4 978 to 3 130 computations (37.1% saved)

series311.0ms (0.8%)

Memory
-16.8MiB live, 332.9MiB allocated
Counts
213 → 900
Calls

117 calls:

TimeVariablePointExpression
36.0ms
x
@inf
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
35.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
32.0ms
x
@-inf
((fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ (* (- 1 z) x) 4) y) (+ (* (- 1 z) x) 4) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z) (/ 1 (/ y (- (+ 4 x) (* z x)))) (- (+ 4 x) (* z x)) (fabs (/ 1 (/ y (- (+ 4 x) (* z x))))) (/ y (- (+ 4 x) (* z x))) (+ (* (* z x) (/ -1 y)) (/ (+ 4 x) y)) (fabs (+ (* (* z x) (/ -1 y)) (/ (+ 4 x) y))) (* z x) (/ -1 y) (/ (+ 4 x) y))
20.0ms
x
@-inf
((neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (+ (* 1/2 x) 1))
16.0ms
f
@inf
((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (+ n f))

bsearch180.0ms (0.5%)

Memory
3.8MiB live, 153.3MiB allocated
Algorithm
16×binary-search
left-value
Stop Event
15×narrow-enough
predicate-same
Samples
100.0ms1 408×0valid
2.0ms16×2valid
Compiler

Compiled 5 032 to 4 144 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 39.0ms (53.3% of total)
ival-mult: 11.0ms (15% of total)
ival-sub: 9.0ms (12.3% of total)
ival-add: 5.0ms (6.8% of total)
ival-fabs: 4.0ms (5.5% of total)
ival-exp: 1.0ms (1.4% of total)
ival-assert: 1.0ms (1.4% of total)
ival-sqrt: 1.0ms (1.4% of total)
ival-true: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)

start0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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