Herbie run

Date:Sunday, January 19th, 2025
Commit:455c599f on main
Seed:2025019
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
Memory:41 826.7 MB

Time bar (total: 43.4s)

sample12.0s (27.7%)

Memory
273.0MiB live, 11 922.1MiB allocated; 5.6s collecting garbage
Samples
7.1s70 307×0valid
1.1s3 990×2valid
421.0ms1 962×0invalid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 6.2s
ival-mult: 1.3s (21.5% of total)
ival-sqrt: 1.0s (16.9% of total)
ival-sub: 865.0ms (13.9% of total)
ival-div: 836.0ms (13.4% of total)
ival-add: 538.0ms (8.6% of total)
ival-log: 344.0ms (5.5% of total)
ival-neg: 265.0ms (4.3% of total)
ival->=: 207.0ms (3.3% of total)
adjust: 192.0ms (3.1% of total)
ival-exp: 165.0ms (2.7% of total)
ival-if: 157.0ms (2.5% of total)
ival-fabs: 136.0ms (2.2% of total)
exact: 53.0ms (0.9% of total)
ival-true: 50.0ms (0.8% of total)
ival-assert: 26.0ms (0.4% of total)
Bogosity

simplify11.9s (27.4%)

Memory
89.2MiB live, 10 397.8MiB allocated; 1.8s collecting garbage
Stop Event
98×iter limit
69×node limit
saturated
unsound
Counts
3 568 → 3 568

localize4.1s (9.4%)

Memory
-81.9MiB live, 4 005.3MiB allocated; 779ms collecting garbage
Samples
1.3s6 184×0valid
806.0ms831×2valid
691.0ms611×1valid
175.0ms84×3valid
65.0ms225×0invalid
0.0ms5exit
Compiler

Compiled 7 466 to 768 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult: 425.0ms (21.4% of total)
ival-div: 326.0ms (16.4% of total)
adjust: 305.0ms (15.4% of total)
ival-add: 278.0ms (14% of total)
ival-sub: 213.0ms (10.7% of total)
ival-sqrt: 137.0ms (6.9% of total)
ival-if: 100.0ms (5% of total)
ival-e: 37.0ms (1.9% of total)
ival-pow: 35.0ms (1.8% of total)
ival-neg: 29.0ms (1.5% of total)
ival-log: 26.0ms (1.3% of total)
ival-fabs: 25.0ms (1.3% of total)
ival-exp: 12.0ms (0.6% of total)
exact: 11.0ms (0.6% of total)
ival->=: 7.0ms (0.4% of total)
ival-true: 6.0ms (0.3% of total)
ival-expm1: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
ival-log1p: 3.0ms (0.2% of total)

rewrite2.9s (6.8%)

Memory
-119.9MiB live, 2 675.5MiB allocated; 377ms collecting garbage
Stop Event
99×iter limit
20×node limit
11×unsound
saturated
Counts
375 → 6 459

preprocess2.8s (6.4%)

Memory
-104.3MiB live, 2 137.0MiB allocated; 495ms collecting garbage
Stop Event
18×iter limit
16×node limit
saturated
Compiler

Compiled 10 285 to 1 690 computations (83.6% saved)

derivations2.4s (5.5%)

Memory
-22.7MiB live, 1 611.2MiB allocated; 297ms collecting garbage
Stop Event
done
fuel
Compiler

Compiled 4 744 to 573 computations (87.9% saved)

eval1.9s (4.3%)

Memory
84.2MiB live, 2 320.7MiB allocated; 385ms collecting garbage
Compiler

Compiled 519 118 to 39 849 computations (92.3% saved)

explain1.6s (3.7%)

Memory
179.8MiB live, 1 922.3MiB allocated; 339ms collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue2380
+.f64#fcancellation1170
-.f64#fcancellation1140
sqrt.f64#fuflow-rescue780
/.f64#fu/n260
/.f64#fn/u230
-.f64#fnan-rescue180
*.f64(*.f64 (/.f64 x y) z)n*o140
*.f64(*.f64 (/.f64 x y) z)n*u100
Confusion
Predicted +Predicted -
+29512
-2331764
Precision
0.5587121212121212
Recall
0.9609120521172638
Confusion?
Predicted +Predicted MaybePredicted -
+295012
-23301764
Precision?
0.5587121212121212
Recall?
0.9609120521172638
Freqs
test
numberfreq
01776
1424
298
36
Total Confusion?
Predicted +Predicted MaybePredicted -
+400
-005
Precision?
1.0
Recall?
1.0
Samples
341.0ms3 716×0valid
222.0ms532×2valid
83.0ms320×1valid
18.0ms40×3valid
Compiler

Compiled 1 107 to 300 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 394.0ms
ival-div: 103.0ms (26.2% of total)
ival-sqrt: 70.0ms (17.8% of total)
ival-mult: 66.0ms (16.8% of total)
adjust: 48.0ms (12.2% of total)
ival-sub: 37.0ms (9.4% of total)
ival-add: 17.0ms (4.3% of total)
ival->=: 11.0ms (2.8% of total)
ival-neg: 10.0ms (2.5% of total)
ival-if: 8.0ms (2% of total)
ival-log: 6.0ms (1.5% of total)
ival-fabs: 5.0ms (1.3% of total)
ival-exp: 4.0ms (1% of total)
ival-true: 3.0ms (0.8% of total)
exact: 3.0ms (0.8% of total)
ival-assert: 2.0ms (0.5% of total)

series1.1s (2.4%)

Memory
113.1MiB live, 1 075.1MiB allocated; 175ms collecting garbage
Counts
375 → 3 568
Calls

183 calls:

TimeVariablePointExpression
135.0ms
x
@inf
((log (pow (- (/ 1 x) 1) -1)) (- (/ 1 x) 1) (pow (- (/ 1 x) 1) -1) (/ 1 x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (log (pow (- (pow x -1) 1) -1)) (pow (- (pow x -1) 1) -1) (+ (* x x) x) (neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (log x))
56.0ms
a
@0
((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
52.0ms
x
@-inf
((log (pow (- (pow x -1) 1) -1)) (- (pow x -1) 1) (pow (- (pow x -1) 1) -1) (pow x -1) (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) (* (log x) -1) (neg (log (- (exp (* (log x) -1)) 1))) (log (- (exp (* (log x) -1)) 1)) (- (exp (* (log x) -1)) 1))
42.0ms
x
@0
((log (pow (- (/ 1 x) 1) -1)) (- (/ 1 x) 1) (pow (- (/ 1 x) 1) -1) (/ 1 x) (neg (log (- (/ 1 x) 1))) (+ (log x) x) (neg (log (- (/ 1 x) 1))) (+ (* (+ (* 1/2 x) 1) x) (log x)) (* (* x x) 1/2) (* x x) (log (pow (- (pow x -1) 1) -1)) (pow (- (pow x -1) 1) -1) (+ (* x x) x) (neg (log (- (exp (neg (log x))) 1))) (log (- (exp (neg (log x))) 1)) (- (exp (neg (log x))) 1) (neg (log x)) (log x))
38.0ms
y
@-inf
((* y (/ -4 y)) (* (/ (- (* (- 1 z) x) (* y (/ -4 y))) (* y x)) x) (/ (- (* (- 1 z) x) (* y (/ -4 y))) (* y x)) (- (* (- 1 z) x) (* y (/ -4 y))) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ (* (- 1 z) x) 4) y) (+ (* (- 1 z) x) 4) (- (/ (+ x 4) y) (* (/ x y) z)) (* (/ z y) (neg x)) (/ z y) (neg x) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (+ (* (- 1 z) x) 4) y) (+ (* (- 1 z) x) 4) (- 1 z) (* (/ (- (- 1 z) (/ -4 x)) y) x) (fabs (* (sqrt (/ (- (+ 4 x) (* z x)) y)) (sqrt (/ (- (+ 4 x) (* z x)) y)))) (/ (- (- 1 z) (/ -4 x)) y) (- (- 1 z) (/ -4 x)) (* (- 1 z) x) (* (- 1 z) x))

regimes881.0ms (2%)

Memory
13.5MiB live, 1 278.9MiB allocated; 146ms collecting garbage
Counts
637 → 122
Calls

26 calls:

120.0ms
b
84.0ms
z
82.0ms
x
66.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
52.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 1 065 to 933 computations (12.4% saved)

prune802.0ms (1.8%)

Memory
-78.6MiB live, 1 072.1MiB allocated; 113ms collecting garbage
Counts
9 139 → 294
Compiler

Compiled 24 422 to 10 970 computations (55.1% saved)

analyze613.0ms (1.4%)

Memory
40.3MiB live, 750.2MiB allocated; 154ms collecting garbage
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)

bsearch474.0ms (1.1%)

Memory
83.8MiB live, 657.4MiB allocated; 131ms collecting garbage
Algorithm
47×binary-search
14×left-value
Stop Event
28×narrow-enough
19×predicate-same
Samples
200.0ms2 784×0valid
18.0ms187×0invalid
11.0ms48×2valid
Compiler

Compiled 23 116 to 13 846 computations (40.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 48.0ms (31.4% of total)
ival-div: 34.0ms (22.3% of total)
ival-sub: 18.0ms (11.8% of total)
ival-add: 15.0ms (9.8% of total)
ival-sqrt: 8.0ms (5.2% of total)
ival-fabs: 6.0ms (3.9% of total)
ival-neg: 6.0ms (3.9% of total)
ival-if: 5.0ms (3.3% of total)
ival->=: 3.0ms (2% of total)
adjust: 2.0ms (1.3% of total)
ival-exp: 2.0ms (1.3% of total)
ival-true: 2.0ms (1.3% of total)
exact: 2.0ms (1.3% of total)
ival-assert: 1.0ms (0.7% of total)

start0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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