Herbie run

Date:Friday, February 28th, 2025
Commit:f2100aab on no-pareto
Seed:2025059
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionsreduce:simplifysetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default
Memory:74 748.8 MB

Time bar (total: 1.4min)

sample43.5s (50.9%)

Memory
382.6MiB live, 37 655.9MiB allocated; 10.1s collecting garbage
Samples
13.8s16 345×5exit
8.5s39 824×1valid
6.4s108 777×0valid
6.1s16 519×2valid
443.0ms3 822×0invalid
115.0ms1 416×0exit
Precisions
Click to see histograms. Total time spent on operations: 28.6s
ival-exp: 4.1s (14.3% of total)
ival-pow: 3.7s (13% of total)
adjust: 3.6s (12.8% of total)
ival-log: 2.8s (9.8% of total)
ival-cos: 2.3s (7.9% of total)
ival-mult: 1.9s (6.5% of total)
ival-tan: 1.5s (5.4% of total)
ival-sub: 1.3s (4.6% of total)
ival-sinh: 1.2s (4.2% of total)
ival-sqrt: 999.0ms (3.5% of total)
ival-div: 912.0ms (3.2% of total)
ival-fmod: 878.0ms (3.1% of total)
ival-sin: 682.0ms (2.4% of total)
ival-add: 626.0ms (2.2% of total)
ival-acos: 509.0ms (1.8% of total)
ival-pow2: 449.0ms (1.6% of total)
const: 375.0ms (1.3% of total)
ival-neg: 242.0ms (0.8% of total)
ival-hypot: 171.0ms (0.6% of total)
ival-assert: 77.0ms (0.3% of total)
ival-<=: 68.0ms (0.2% of total)
ival-atan: 52.0ms (0.2% of total)
exact: 41.0ms (0.1% of total)
ival-and: 39.0ms (0.1% of total)
ival-or: 19.0ms (0.1% of total)
ival->: 2.0ms (0% of total)
ival-==: 2.0ms (0% of total)
ival-<: 2.0ms (0% of total)
Bogosity

prune20.1s (23.5%)

Memory
-10.2MiB live, 18 695.6MiB allocated; 2.7s collecting garbage
Counts
8 855 → 424
Compiler

Compiled 25 791 to 12 255 computations (52.5% saved)

rewrite8.2s (9.6%)

Memory
33.8MiB live, 6 699.3MiB allocated; 934ms collecting garbage
Stop Event
199×iter limit
48×node limit
19×unsound
saturated
Counts
3 479 → 7 457

preprocess3.6s (4.2%)

Memory
311.8MiB live, 2 676.7MiB allocated; 324ms collecting garbage
Stop Event
38×iter limit
29×node limit
13×saturated
Compiler

Compiled 1 981 to 1 416 computations (28.5% saved)

analyze3.2s (3.7%)

Memory
112.8MiB live, 2 501.9MiB allocated; 1.9s collecting garbage
Algorithm
20×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%73.7%26.3%0%0%0%0
28.8%21.3%52.5%26.3%0%0%0%1
44.1%32.5%41.2%26.3%0%0%0%2
52.6%38.7%35%26.3%0%0%0%3
61.9%45.6%28.1%26.3%0%0%0%4
65.2%47.5%25.3%26.3%0%0.9%0%5
66.8%48.4%24%26.3%0%1.2%0%6
71.1%51.1%20.8%26.3%0%1.9%0%7
72.1%51.6%20%26.3%0%2.1%0%8
74.4%53%18.2%26.3%0%2.5%0%9
75.8%53.9%17.2%26.3%0%2.6%0%10
76.6%54.3%16.6%26.3%0%2.8%0%11
77.3%54.8%16.1%26.3%0%2.9%0%12
Compiler

Compiled 279 to 216 computations (22.6% saved)

explain2.9s (3.3%)

Memory
-82.3MiB live, 2 454.0MiB allocated; 342ms collecting garbage
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue5830
cos.f64#fsensitivity5040
sqrt.f64#fuflow-rescue3500
-.f64#fcancellation3430
/.f64#fn/o2580
acos.f64(acos.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2540
log.f64(log.f64 (/.f64 (sinh.f64 x) x))sensitivity2490
tan.f64(tan.f64 (+.f64 y z))sensitivity1840
pow.f64(pow.f64 l (exp.f64 w))sensitivity11311
*.f64#fn*u360
*.f64#fn*o340
*.f64(*.f64 (pow.f64 c #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x))o*u290
(pow.f64 c #s(literal 2 binary64))overflow67
(*.f64 (*.f64 x (pow.f64 s #s(literal 2 binary64))) x)underflow88
(*.f64 x (pow.f64 s #s(literal 2 binary64)))underflow75
(pow.f64 s #s(literal 2 binary64))underflow72
*.f64#fu*o210
-.f64(-.f64 (*.f64 a a) (*.f64 b b))nan-rescue210
(*.f64 a a)overflow107
(*.f64 b b)overflow21
log.f64(log.f64 (/.f64 (sinh.f64 x) x))oflow-rescue50
(sinh.f64 x)overflow5
(/.f64 (sinh.f64 x) x)overflow5
exp.f64(exp.f64 (neg.f64 w))sensitivity10
+.f64(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))cancellation10
Confusion
Predicted +Predicted -
+2245258
-6651952
Precision
0.7714776632302406
Recall
0.8969236915701159
Confusion?
Predicted +Predicted MaybePredicted -
+22451257
-665111941
Precision?
0.7686516084873375
Recall?
0.8973232121454255
Freqs
test
numberfreq
02210
12837
270
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+1800
-002
Precision?
1.0
Recall?
1.0
Samples
515.0ms2 468×1valid
433.0ms100×5exit
400.0ms6 656×0valid
300.0ms1 016×2valid
Compiler

Compiled 1 067 to 440 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 441.0ms (34.8% of total)
adjust: 120.0ms (9.5% of total)
ival-tan: 111.0ms (8.8% of total)
ival-mult: 90.0ms (7.1% of total)
ival-log: 64.0ms (5.1% of total)
ival-sub: 59.0ms (4.7% of total)
ival-sqrt: 55.0ms (4.3% of total)
ival-exp: 47.0ms (3.7% of total)
ival-fmod: 43.0ms (3.4% of total)
ival-sinh: 38.0ms (3% of total)
ival-add: 37.0ms (2.9% of total)
ival-sin: 37.0ms (2.9% of total)
ival-acos: 32.0ms (2.5% of total)
ival-div: 30.0ms (2.4% of total)
ival-pow2: 22.0ms (1.7% of total)
ival-true: 9.0ms (0.7% of total)
ival-hypot: 9.0ms (0.7% of total)
ival-pow: 8.0ms (0.6% of total)
ival-neg: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
ival-atan: 3.0ms (0.2% of total)
exact: 2.0ms (0.2% of total)

series1.4s (1.7%)

Memory
166.2MiB live, 1 485.1MiB allocated; 175ms collecting garbage
Counts
661 → 2 818
Calls

375 calls:

TimeVariablePointExpression
54.0ms
x
@0
((* (pow 2 1/4) (* (pow 2 1/4) (fabs x))) (pow 2 1/4) 2 1/4 (* (pow 2 1/4) (fabs x)) (fabs x) x)
53.0ms
x
@0
((sqrt (+ (pow x 2) (pow x 2))) (* (pow 2 1/4) (* (pow 2 1/4) x)) (pow 2 1/4) 2 1/4 (* (pow 2 1/4) x) x)
47.0ms
x
@inf
((log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) x)
40.0ms
z
@inf
((+ x (- (+ (/ (tan z) (- 1 (* (tan y) (tan z)))) (/ (tan y) (/ (* 2 (- (cos z) (* (sin z) (tan y)))) (* (cos z) 2)))) (tan a))) x (- (+ (/ (tan z) (- 1 (* (tan y) (tan z)))) (/ (tan y) (/ (* 2 (- (cos z) (* (sin z) (tan y)))) (* (cos z) 2)))) (tan a)) (+ (/ (tan z) (- 1 (* (tan y) (tan z)))) (/ (tan y) (/ (* 2 (- (cos z) (* (sin z) (tan y)))) (* (cos z) 2)))) (/ (tan z) (- 1 (* (tan y) (tan z)))) (tan z) z (- 1 (* (tan y) (tan z))) 1 (* (tan y) (tan z)) (tan y) y (/ (tan y) (/ (* 2 (- (cos z) (* (sin z) (tan y)))) (* (cos z) 2))) (/ (* 2 (- (cos z) (* (sin z) (tan y)))) (* (cos z) 2)) (* 2 (- (cos z) (* (sin z) (tan y)))) 2 (- (cos z) (* (sin z) (tan y))) (cos z) (* (sin z) (tan y)) (sin z) (* (cos z) 2) (tan a) a)
39.0ms
w
@inf
((* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) 1/2 w -1 1 (pow l (exp w)) (pow (pow (pow l -1) (exp w)) -1) (pow (pow l -1) (exp w)) (pow l -1) l (exp w))

eval1.2s (1.4%)

Memory
177.2MiB live, 1 431.1MiB allocated; 230ms collecting garbage
Compiler

Compiled 277 172 to 40 144 computations (85.5% saved)

simplify600.0ms (0.7%)

Memory
-93.2MiB live, 489.6MiB allocated; 57ms collecting garbage
Stop Event
10×saturated
10×node limit

derivations499.0ms (0.6%)

Memory
-80.6MiB live, 236.0MiB allocated; 88ms collecting garbage
Stop Event
13×fuel
done
Compiler

Compiled 345 to 229 computations (33.6% saved)

regimes366.0ms (0.4%)

Memory
-101.8MiB live, 410.4MiB allocated; 43ms collecting garbage
Counts
233 → 20
Calls

53 calls:

51.0ms
x
24.0ms
a
21.0ms
s
18.0ms
b
17.0ms
(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 294 to 307 computations (-4.4% saved)

bsearch61.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
binary-search
Stop Event
narrow-enough
Samples
52.0ms128×2valid
Compiler

Compiled 292 to 236 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-exp: 25.0ms (53% of total)
ival-fmod: 9.0ms (19.1% of total)
adjust: 5.0ms (10.6% of total)
ival-cos: 3.0ms (6.4% of total)
ival-sqrt: 3.0ms (6.4% of total)
ival-mult: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

start1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...