Herbie run

Date:Wednesday, April 30th, 2025
Commit:77680327 on prove-soundness
Seed:2025120
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:binary-searchreduce:branch-expressionssetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:proofs
default
Memory:70 438.9 MB

Time bar (total: 1.3min)

sample47.6s (62.9%)

Memory
639.2MiB live, 44 074.2MiB allocated; 16.1s collecting garbage
Samples
19.6s21 009×5exit
6.9s39 254×1valid
6.7s109 672×0valid
5.5s16 194×2valid
694.0ms5 803×0invalid
227.0ms1 201×1exit
112.0ms1 368×0exit
Precisions
Click to see histograms. Total time spent on operations: 33.1s
ival-exp: 7.4s (22.3% of total)
ival-cos: 4.9s (14.8% of total)
adjust: 3.8s (11.4% of total)
ival-pow: 3.2s (9.8% of total)
ival-mult!: 2.0s (6% of total)
ival-sqrt: 1.7s (5.2% of total)
ival-log: 1.7s (5.1% of total)
ival-tan: 1.6s (4.9% of total)
ival-fmod: 1.6s (4.8% of total)
ival-sinh: 1.1s (3.4% of total)
ival-sin: 831.0ms (2.5% of total)
ival-div!: 705.0ms (2.1% of total)
ival-acos: 611.0ms (1.8% of total)
ival-sub!: 501.0ms (1.5% of total)
ival-pow2: 421.0ms (1.3% of total)
ival-add!: 404.0ms (1.2% of total)
ival-neg: 207.0ms (0.6% of total)
ival-hypot: 181.0ms (0.5% of total)
ival-<=: 50.0ms (0.2% of total)
ival-atan: 48.0ms (0.1% of total)
ival-and: 31.0ms (0.1% of total)
ival-or: 14.0ms (0% of total)
ival-assert: 3.0ms (0% of total)
ival->: 2.0ms (0% of total)
ival-<: 2.0ms (0% of total)
Bogosity

rewrite8.9s (11.7%)

Memory
370.5MiB live, 7 731.2MiB allocated; 2.0s collecting garbage
Stop Event
174×iter-limit
46×node-limit
16×unsound
saturated
Counts
6 760 → 14 894

regimes4.4s (5.8%)

Memory
-33.4MiB live, 4 013.1MiB allocated; 629ms collecting garbage
Counts
3 171 → 160
Calls

53 calls:

589.0ms
x
496.0ms
a
283.0ms
b
278.0ms
r
191.0ms
y
Compiler

Compiled 1 316 to 1 775 computations (-34.9% saved)

preprocess2.7s (3.5%)

Memory
-236.8MiB live, 2 507.1MiB allocated; 593ms collecting garbage
Stop Event
18×node-limit
saturated
Compiler

Compiled 6 535 to 5 779 computations (11.6% saved)

derivations2.6s (3.4%)

Memory
3.6MiB live, 1 538.0MiB allocated; 303ms collecting garbage
Stop Event
10×fuel
10×done
Compiler

Compiled 1 328 to 885 computations (33.4% saved)

series2.4s (3.2%)

Memory
131.5MiB live, 2 685.6MiB allocated; 614ms collecting garbage
Counts
1 400 → 5 360
Calls

366 calls:

TimeVariablePointExpression
85.0ms
y
@0
((+ x (+ (/ (tan y) (- 1 (* (tan z) (tan y)))) (- (/ (tan z) (- 1 (* (tan z) (tan y)))) (tan a)))) x (+ (/ (tan y) (- 1 (* (tan z) (tan y)))) (- (/ (tan z) (- 1 (* (tan z) (tan y)))) (tan a))) (/ (tan y) (- 1 (* (tan z) (tan y)))) (tan y) y (- 1 (* (tan z) (tan y))) 1 (* (tan z) (tan y)) (tan z) z (- (/ (tan z) (- 1 (* (tan z) (tan y)))) (tan a)) (/ (tan z) (- 1 (* (tan z) (tan y)))) (tan a) a (+ x (- (tan (+ y z)) (tan a))) (- (+ (tan y) x) (tan a)) (+ (tan y) x) (tan a) (* (+ (* (* a a) 1/3) 1) a) (+ (* (* a a) 1/3) 1) (* a a) 1/3 (+ x (- (tan (+ y z)) (tan a))) (- (+ (tan y) x) (/ (sin a) (cos a))) (/ (sin a) (cos a)) (sin a) (cos a) (+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (* (+ (/ z y) 1) y) (+ (/ z y) 1) (+ (* (exp (* (log y) -1)) z) 1) (exp (* (log y) -1)) (* (log y) -1) (log y) -1 (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))) (* (+ 1 (- (/ (sin (+ y z)) (* (cos (+ y z)) x)) (/ (sin a) (* (cos a) x)))) x) (+ 1 (- (/ (sin (+ y z)) (* (cos (+ y z)) x)) (/ (sin a) (* (cos a) x)))) (- (/ (sin (+ y z)) (* (cos (+ y z)) x)) (/ (sin a) (* (cos a) x))) (/ (sin (+ y z)) (* (cos (+ y z)) x)) (sin (+ y z)) (+ y z) (* (cos (+ y z)) x) (cos (+ y z)) (/ (sin a) (* (cos a) x)) (* (cos a) x))
82.0ms
l
@0
((* (exp (neg w)) (exp (* (log l) (exp w)))) (exp (neg w)) (neg w) w (exp (* (log l) (exp w))) (* (log l) (exp w)) (log l) l (exp w) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ 1 (neg w)) 1 (pow l (exp w)) (exp (+ (neg w) (* (log l) (exp w)))) (+ (* (* (- (log l) 1) w) l) l) (* (- (log l) 1) w) (- (log l) 1) (* (pow l (exp w)) (exp (neg w))) (pow l (exp w)) (exp (neg w)) (/ (exp (neg w)) (exp (* (neg (exp w)) (log l)))) (exp (* (neg (exp w)) (log l))) (* (neg (exp w)) (log l)) (neg (exp w)))
70.0ms
w
@-inf
((/ (exp (neg w)) (pow (exp -1) (* (log l) (exp w)))) (exp (neg w)) (neg w) w (pow (exp -1) (* (log l) (exp w))) (exp -1) -1 (* (log l) (exp w)) (log l) l (exp w) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ 1 (neg w)) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (/ (- 1 (* w w)) (- 1 (neg w))) (- 1 (* w w)) 1 (* w w) (- 1 (neg w)) (* (pow l (exp w)) (exp (neg w))) (pow l (exp w)) (exp w) (+ (* (+ (* 1/2 w) 1) w) 1) (+ (* 1/2 w) 1) 1/2 (exp (neg w)) (* (exp (neg w)) (exp (* (log l) (exp w)))) (exp (* (log l) (exp w))) (* (log l) (exp w)) (exp w) (+ 1 w))
66.0ms
x
@inf
((log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (- (* 1/2835 (* x x)) 1/180) (* 1/2835 (* x x)) 1/2835 (* x x) x 1/180 1/6 (log (/ (sinh x) x)) (/ (sinh x) x) 1 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* x x) 1/6) 1) (log (/ (sinh x) x)) (/ (sinh x) x) (sinh x) (* (+ (* (* x x) 1/6) 1) x) (- (log (sinh (neg x))) (log (neg x))) (log (sinh (neg x))) (sinh (neg x)) (neg x) (log (neg x)))
59.0ms
x
@inf
((log (/ (sinh x) x)) (+ (* (* 1/6 x) x) (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) x)) (* 1/6 x) 1/6 x (* (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) x) (* (* (+ (* (* x x) 1/2835) -1/180) x) (* x x)) (* (+ (* (* x x) 1/2835) -1/180) x) (+ (* (* x x) 1/2835) -1/180) (* x x) 1/2835 -1/180 (log (/ (sinh x) x)) (* (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) x) (* (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) x) (+ (* (- (* 1/2835 (* x x)) 1/180) (* x x)) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (+ (* 1/120 (* x x)) 1/6) 1/120 1 (- (log (sinh (neg x))) (log (neg x))) (* (* (+ (* (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) x) x) 1/6) x) x) (* (+ (* (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) x) x) 1/6) x) (+ (* (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) x) x) 1/6) (* (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) x) (+ (* (+ (* -1/37800 (* x x)) 1/2835) (* x x)) -1/180) (+ (* -1/37800 (* x x)) 1/2835) -1/37800 (log (/ (sinh x) x)) (/ (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6)) (* (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (* x x)) (- (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) 1/36) (pow (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2) (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 2 1/36 (- (* (* (+ (* (* x x) 1/2835) -1/180) x) x) 1/6))

analyze2.3s (3%)

Memory
-75.2MiB live, 1 860.4MiB allocated; 1.2s 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)

eval2.2s (3%)

Memory
-213.6MiB live, 2 679.8MiB allocated; 873ms collecting garbage
Compiler

Compiled 217 610 to 73 552 computations (66.2% saved)

prune1.6s (2.1%)

Memory
147.4MiB live, 2 048.4MiB allocated; 213ms collecting garbage
Counts
15 288 → 1 526
Compiler

Compiled 56 246 to 44 134 computations (21.5% saved)

bsearch1.1s (1.5%)

Memory
92.5MiB live, 1 300.0MiB allocated; 207ms collecting garbage
Algorithm
36×binary-search
12×left-value
Stop Event
31×narrow-enough
predicate-failed
Samples
625.0ms505×5exit
188.0ms1 090×1valid
91.0ms1 326×0valid
Compiler

Compiled 8 239 to 8 752 computations (-6.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 806.0ms
ival-exp: 307.0ms (38.1% of total)
adjust: 132.0ms (16.4% of total)
ival-tan: 100.0ms (12.4% of total)
ival-cos: 100.0ms (12.4% of total)
ival-fmod: 71.0ms (8.8% of total)
ival-sqrt: 23.0ms (2.9% of total)
ival-mult!: 18.0ms (2.2% of total)
ival-add!: 12.0ms (1.5% of total)
ival-sin: 12.0ms (1.5% of total)
ival-pow: 10.0ms (1.2% of total)
ival-sub!: 5.0ms (0.6% of total)
ival-acos: 5.0ms (0.6% of total)
ival-neg: 5.0ms (0.6% of total)
ival-div!: 4.0ms (0.5% of total)
ival-pow2: 2.0ms (0.2% of total)

start1.0ms (0%)

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

end0.0ms (0%)

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

Profiling

Loading profile data...