Herbie run

Date:Saturday, May 3rd, 2025
Commit:1cbc6d8b on time-nightly
Seed:2025123
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:81 986.3 MB

Time bar (total: 1.3min)

sample48.1s (60.2%)

Memory
652.6MiB live, 47 962.2MiB allocated; 14.3s collecting garbage
Samples
20.2s21 423×5exit
7.9s39 043×1valid
6.3s109 885×0valid
5.0s16 192×2valid
706.0ms5 950×0invalid
260.0ms1 161×1exit
107.0ms1 391×0exit
1.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 32.8s
ival-exp: 7.1s (21.8% of total)
ival-cos: 5.4s (16.5% of total)
adjust: 3.9s (11.8% of total)
ival-pow: 3.2s (9.8% of total)
ival-log: 1.9s (5.7% of total)
ival-sqrt: 1.6s (4.9% of total)
ival-fmod: 1.5s (4.6% of total)
ival-mult!: 1.4s (4.2% of total)
ival-tan: 1.3s (4% of total)
ival-sinh: 1.1s (3.5% of total)
ival-div!: 787.0ms (2.4% of total)
ival-add!: 722.0ms (2.2% of total)
ival-sin: 713.0ms (2.2% of total)
ival-acos: 617.0ms (1.9% of total)
ival-sub!: 471.0ms (1.4% of total)
ival-pow2: 360.0ms (1.1% of total)
ival-neg: 310.0ms (0.9% of total)
ival-hypot: 157.0ms (0.5% of total)
ival-<=: 49.0ms (0.1% of total)
ival-atan: 46.0ms (0.1% of total)
ival-and: 33.0ms (0.1% of total)
ival-or: 14.0ms (0% of total)
ival-assert: 4.0ms (0% of total)
ival->: 2.0ms (0% of total)
ival-<: 2.0ms (0% of total)
Bogosity

rewrite9.5s (11.9%)

Memory
9.5MiB live, 9 150.5MiB allocated; 2.5s collecting garbage
Stop Event
189×iter-limit
50×node-limit
17×unsound
saturated
Counts
7 954 → 18 896

regimes5.0s (6.2%)

Memory
209.1MiB live, 6 856.7MiB allocated; 876ms collecting garbage
Counts
3 896 → 178
Calls

53 calls:

632.0ms
x
549.0ms
a
312.0ms
b
258.0ms
r
250.0ms
y
Compiler

Compiled 1 509 to 2 032 computations (-34.7% saved)

derivations3.6s (4.5%)

Memory
-172.5MiB live, 2 337.5MiB allocated; 1.3s collecting garbage
Stop Event
12×fuel
done
Compiler

Compiled 1 500 to 1 012 computations (32.5% saved)

preprocess3.3s (4.1%)

Memory
-335.6MiB live, 3 024.1MiB allocated; 1.3s collecting garbage
Stop Event
18×node-limit
saturated
Compiler

Compiled 7 263 to 6 220 computations (14.4% saved)

eval2.7s (3.4%)

Memory
94.8MiB live, 3 367.5MiB allocated; 596ms collecting garbage
Compiler

Compiled 259 537 to 86 417 computations (66.7% saved)

series2.6s (3.2%)

Memory
325.3MiB live, 2 983.5MiB allocated; 504ms collecting garbage
Counts
1 541 → 6 413
Calls

384 calls:

TimeVariablePointExpression
80.0ms
x
@0
((/ (- (/ (pow (asin (- 1 x)) 4) (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4))) (/ (* (/ (* (PI) (PI)) 16) (* (PI) (PI))) (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4)))) (+ (/ (PI) 2) (asin (- 1 x)))) (- (/ (pow (asin (- 1 x)) 4) (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4))) (/ (* (/ (* (PI) (PI)) 16) (* (PI) (PI))) (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4)))) (/ (pow (asin (- 1 x)) 4) (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4))) (pow (asin (- 1 x)) 4) (asin (- 1 x)) (- 1 x) 1 x 4 (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4)) (asin (- x 1)) (- x 1) (/ (* (PI) (PI)) -4) (* (PI) (PI)) (PI) -4 (/ (* (/ (* (PI) (PI)) 16) (* (PI) (PI))) (+ (* (asin (- x 1)) (asin (- 1 x))) (/ (* (PI) (PI)) -4))) (* (/ (* (PI) (PI)) 16) (* (PI) (PI))) (/ (* (PI) (PI)) 16) 16 (+ (/ (PI) 2) (asin (- 1 x))) (/ (PI) 2) 2 (- (/ (PI) 2) (asin (- 1 x))) (- (* 1/2 (PI)) (asin (- 1 x))) (* 1/2 (PI)) 1/2 (acos (- 1 x)) (- 1 x) (* (/ (- (exp (* (log x) -2)) 1) (- (/ 1 x) -1)) x) (/ (- (exp (* (log x) -2)) 1) (- (/ 1 x) -1)) (- (exp (* (log x) -2)) 1) (* (log x) -2) (log x) -2 (- (/ 1 x) -1) (/ 1 x) -1 (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (- 1 x)) 4)) (* (+ (* (asin (- 1 x)) (asin (- 1 x))) (* (PI) (/ (PI) 4))) (+ (asin (- 1 x)) (/ (PI) 2)))) (/ (+ (* (asin (- x 1)) (asin (- 1 x))) (* 1/4 (* (PI) (PI)))) (+ (* 1/2 (PI)) (asin (- 1 x)))) (+ (* (asin (- x 1)) (asin (- 1 x))) (* 1/4 (* (PI) (PI)))) (* 1/4 (* (PI) (PI))) 1/4 (+ (* 1/2 (PI)) (asin (- 1 x))) (/ (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x)))) (- (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (asin (- 1 x)) (asin (- 1 x)))) (* (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (* (sqrt (PI)) (/ (sqrt (PI)) 2))) (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (sqrt (PI)) (/ (sqrt (PI)) 2) (* (asin (- 1 x)) (asin (- 1 x))) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (- 1 x))))
80.0ms
x
@0
((/ (- x lo) (- hi lo)) (+ (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (/ hi lo)) (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (- 1 (/ x lo)) 1 (/ x lo) x lo (* (neg (/ (- x hi) lo)) (/ hi lo)) (neg (/ (- x hi) lo)) (/ (- x hi) lo) (- x hi) hi (/ hi lo) (/ (- x lo) (- hi lo)) (/ (- x lo) (- hi lo)) (+ (neg (/ (- x hi) lo)) 1) (/ (- x lo) (- hi lo)) (+ (neg (/ (- (+ (* hi (/ (- x hi) lo)) x) hi) lo)) 1) (neg (/ (- (+ (* hi (/ (- x hi) lo)) x) hi) lo)) (/ (- (+ (* hi (/ (- x hi) lo)) x) hi) lo) (- (+ (* hi (/ (- x hi) lo)) x) hi) (+ (* hi (/ (- x hi) lo)) x) (/ (- x lo) (- hi lo)) (+ (* (- (/ (+ (* (- (/ 1 lo) (/ x (* lo lo))) hi) 1) lo) (/ x (* lo lo))) hi) (neg (/ (- x lo) lo))) (- (/ (+ (* (- (/ 1 lo) (/ x (* lo lo))) hi) 1) lo) (/ x (* lo lo))) (/ (+ (* (- (/ 1 lo) (/ x (* lo lo))) hi) 1) lo) (+ (* (- (/ 1 lo) (/ x (* lo lo))) hi) 1) (- (/ 1 lo) (/ x (* lo lo))) (/ 1 lo) (/ x (* lo lo)) (* lo lo) (neg (/ (- x lo) lo)) (/ (- x lo) lo) (- x lo))
57.0ms
x
@inf
((/ (cos (* 2 x)) (pow (* (* s x) c) 2)) (cos (* 2 x)) (* 2 x) 2 x (pow (* (* s x) c) 2) (* (* s x) c) (* s x) s c (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (/ 1 (* (* (* (* (* s s) x) x) c) c)) 1 (* (* (* (* (* s s) x) x) c) c) (* (* (* (* s s) x) x) c) (* (* (* s s) x) x) (* (* s s) x) (* s s) (/ (cos (* 2 x)) (* (pow c 2) (* (* x (pow s 2)) x))) (cos (* 2 x)) (+ (* -2 (* x x)) 1) -2 (* x x) (* (pow c 2) (* (* x (pow s 2)) x)) (pow c 2) (* (* x (pow s 2)) x) (* x (pow s 2)) (pow s 2) (/ (cos (* 2 x)) (* (* (* (* c c) x) (* s s)) x)) (* (* (* (* c c) x) (* s s)) x) (* (* (* c c) x) (* s s)) (* (* c c) x) (* c c) (/ (/ (cos (+ x x)) (* (* (* s s) x) x)) (* c c)) (/ (cos (+ x x)) (* (* (* s s) x) x)) (cos (+ x x)) (+ x x))
50.0ms
lo
@-inf
((/ (- x lo) (- hi lo)) (+ (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (/ hi lo)) (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (- 1 (/ x lo)) 1 (* (neg (/ (- x hi) lo)) (/ hi lo)) (neg (/ (- x hi) lo)) (/ (- x hi) lo) (- x hi) x hi lo (/ hi lo) (/ (- x lo) (- hi lo)) (- x lo) (- hi lo) (/ (- x lo) (- hi lo)) (+ (neg (- (/ (+ (* (/ (- x hi) lo) hi) x) lo) (/ hi lo))) 1) (neg (- (/ (+ (* (/ (- x hi) lo) hi) x) lo) (/ hi lo))) (- (/ (+ (* (/ (- x hi) lo) hi) x) lo) (/ hi lo)) (/ (+ (* (/ (- x hi) lo) hi) x) lo) (+ (* (/ (- x hi) lo) hi) x) (/ (- x lo) (- hi lo)) (+ (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (/ hi lo)) (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (- 1 (/ x lo)) (/ x lo) (* (neg (/ (- x hi) lo)) (/ hi lo)) (neg (/ (- x hi) lo)) (/ (- x hi) lo) (* (- (/ x (* hi lo)) (/ 1 lo)) hi) (- (/ x (* hi lo)) (/ 1 lo)) (/ x (* hi lo)) (* hi lo) (/ 1 lo) (/ (- x lo) (- hi lo)) (+ (/ (- (* (- 1 (/ x lo)) (- 1 (/ x lo))) (pow (* (/ hi lo) (/ (- x hi) (neg lo))) 2)) (- (- 1 (/ x lo)) (* (/ hi lo) (/ (- x hi) (neg lo))))) (/ hi lo)) (/ (- (* (- 1 (/ x lo)) (- 1 (/ x lo))) (pow (* (/ hi lo) (/ (- x hi) (neg lo))) 2)) (- (- 1 (/ x lo)) (* (/ hi lo) (/ (- x hi) (neg lo))))) (- (* (- 1 (/ x lo)) (- 1 (/ x lo))) (pow (* (/ hi lo) (/ (- x hi) (neg lo))) 2)) (* (- 1 (/ x lo)) (- 1 (/ x lo))) (pow (* (/ hi lo) (/ (- x hi) (neg lo))) 2) (* (/ hi lo) (/ (- x hi) (neg lo))) (/ (- x hi) (neg lo)) (neg lo) 2 (- (- 1 (/ x lo)) (* (/ hi lo) (/ (- x hi) (neg lo)))))
46.0ms
z
@0
((sqrt (+ (* (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x)))) (* (exp (log z)) (exp (log z))))) (sqrt (+ (* y y) (* x x))) (+ (* y y) (* x x)) y (* x x) x (exp (log z)) (log z) z (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (neg y) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))) (+ (* z z) (* y y)) (* y y))

analyze2.0s (2.5%)

Memory
175.1MiB live, 2 112.0MiB allocated; 536ms 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)

prune1.8s (2.2%)

Memory
-66.0MiB live, 2 452.7MiB allocated; 404ms collecting garbage
Counts
18 471 → 1 590
Compiler

Compiled 58 530 to 45 836 computations (21.7% saved)

bsearch1.4s (1.8%)

Memory
8.0MiB live, 1 738.2MiB allocated; 223ms collecting garbage
Algorithm
46×binary-search
left-value
Stop Event
39×narrow-enough
predicate-failed
predicate-same
Samples
762.0ms606×5exit
330.0ms1 366×1valid
115.0ms1 242×0valid
Compiler

Compiled 11 384 to 11 649 computations (-2.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 389.0ms (35.6% of total)
ival-cos: 238.0ms (21.8% of total)
ival-tan: 202.0ms (18.5% of total)
adjust: 84.0ms (7.7% of total)
ival-fmod: 45.0ms (4.1% of total)
ival-sin: 40.0ms (3.7% of total)
ival-sqrt: 28.0ms (2.6% of total)
ival-mult!: 24.0ms (2.2% of total)
ival-add!: 13.0ms (1.2% of total)
ival-div!: 7.0ms (0.6% of total)
ival-pow: 6.0ms (0.5% of total)
ival-sub!: 5.0ms (0.5% of total)
ival-pow2: 4.0ms (0.4% of total)
ival-acos: 4.0ms (0.4% of total)
ival-neg: 4.0ms (0.4% of total)

start1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

Loading profile data...