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: 37.4s)

sample11.2s (29.9%)

Memory
187.0MiB live, 10 437.1MiB allocated
Samples
6.7s70 206×0valid
845.0ms4 088×2valid
364.0ms2 007×0invalid
1.0ms10×1valid
Precisions
Click to see histograms. Total time spent on operations: 5.5s
ival-div: 1.3s (23.6% of total)
ival-mult: 1.2s (22% of total)
ival-sqrt: 712.0ms (12.9% of total)
ival-sub: 639.0ms (11.6% of total)
ival-add: 473.0ms (8.6% of total)
ival->=: 360.0ms (6.5% of total)
ival-neg: 196.0ms (3.6% of total)
ival-log: 116.0ms (2.1% of total)
ival-if: 103.0ms (1.9% of total)
adjust: 98.0ms (1.8% of total)
ival-fabs: 93.0ms (1.7% of total)
ival-exp: 74.0ms (1.3% of total)
exact: 55.0ms (1% of total)
ival-true: 53.0ms (1% of total)
ival-assert: 29.0ms (0.5% of total)
Bogosity

simplify6.8s (18.1%)

Memory
142.6MiB live, 3 762.1MiB allocated
Algorithm
57×egg-herbie
Stop Event
73×iter limit
32×saturated
27×node limit
Counts
900 → 882

soundness6.3s (16.7%)

Memory
9.7MiB live, 1 981.1MiB allocated
Stop Event
45×iter limit
27×node limit
fuel
done
saturated
Compiler

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

rewrite4.7s (12.5%)

Memory
-135.9MiB live, 3 991.2MiB allocated
Stop Event
55×iter limit
23×node limit
unsound
saturated
Counts
213 → 12 499

eval1.9s (5%)

Memory
46.7MiB live, 2 183.9MiB allocated
Compiler

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

localize1.4s (3.8%)

Memory
-72.5MiB live, 1 333.8MiB allocated
Samples
799.0ms5 921×0valid
70.0ms244×2valid
56.0ms117×0exit
33.0ms115×1exit
0.0ms1valid
Compiler

Compiled 3 729 to 813 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 668.0ms
ival-div: 148.0ms (22.2% of total)
ival-sub: 135.0ms (20.2% of total)
ival-mult: 103.0ms (15.4% of total)
ival-add: 88.0ms (13.2% of total)
ival-pow: 52.0ms (7.8% of total)
ival-log: 28.0ms (4.2% of total)
ival-neg: 26.0ms (3.9% of total)
ival-fabs: 22.0ms (3.3% of total)
ival-sqrt: 19.0ms (2.8% of total)
ival-exp: 15.0ms (2.2% of total)
adjust: 11.0ms (1.6% of total)
exact: 7.0ms (1% of total)
ival-e: 5.0ms (0.7% of total)
ival-true: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
ival-cbrt: 1.0ms (0.1% of total)

explain1.3s (3.5%)

Memory
-105.8MiB live, 1 418.5MiB 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
249.0ms3 339×0valid
43.0ms245×2valid
0.0ms1valid
Compiler

Compiled 1 383 to 512 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-div: 29.0ms (22.2% of total)
ival-sub: 24.0ms (18.4% of total)
ival-mult: 21.0ms (16.1% of total)
ival-sqrt: 15.0ms (11.5% of total)
ival-log: 7.0ms (5.4% of total)
ival-neg: 7.0ms (5.4% of total)
adjust: 6.0ms (4.6% of total)
ival-add: 6.0ms (4.6% of total)
ival-fabs: 5.0ms (3.8% of total)
ival-exp: 4.0ms (3.1% of total)
ival-true: 3.0ms (2.3% of total)
ival-assert: 2.0ms (1.5% of total)
exact: 2.0ms (1.5% of total)
ival-if: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)

analyze1.2s (3.2%)

Memory
48.1MiB live, 436.2MiB 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)

preprocess975.0ms (2.6%)

Memory
21.5MiB live, 696.8MiB allocated
Algorithm
egg-herbie
Stop Event
14×iter limit
11×saturated
node limit
Compiler

Compiled 2 721 to 878 computations (67.7% saved)

regimes839.0ms (2.2%)

Memory
-13.2MiB live, 822.6MiB allocated
Counts
388 → 69
Calls

23 calls:

133.0ms
x
80.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
77.0ms
(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
55.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
55.0ms
f
Compiler

Compiled 713 to 652 computations (8.6% saved)

prune364.0ms (1%)

Memory
14.1MiB live, 694.3MiB allocated
Counts
11 097 → 182
Compiler

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

series283.0ms (0.8%)

Memory
19.9MiB live, 291.1MiB allocated
Counts
213 → 900
Calls

117 calls:

TimeVariablePointExpression
50.0ms
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))
29.0ms
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))
24.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (sqrt (- x 1)) (- x 1) (sqrt x))
8.0ms
x
@inf
((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (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)) (* (neg x) (/ z y)) (neg x) (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)) (/ (+ (* (- 1 z) x) 4) y) (+ (* (- 1 z) x) 4) (- 1 z))
6.0ms
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))

bsearch186.0ms (0.5%)

Memory
-35.7MiB live, 160.0MiB allocated
Algorithm
16×binary-search
left-value
Stop Event
15×narrow-enough
predicate-same
Samples
96.0ms1 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: 39.0ms
ival-div: 13.0ms (33.1% of total)
ival-mult: 7.0ms (17.8% of total)
ival-sub: 5.0ms (12.7% of total)
ival-add: 5.0ms (12.7% of total)
ival-fabs: 4.0ms (10.2% of total)
ival-exp: 1.0ms (2.5% of total)
ival-assert: 1.0ms (2.5% of total)
ival-sqrt: 1.0ms (2.5% of total)
ival-true: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% 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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