Herbie run

Date:Wednesday, May 14th, 2025
Commit:79007786 on artem-rules-updates
Seed:2025134
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:22 429.2 MB

Time bar (total: 20.2s)

sample8.8s (43.8%)

Memory
284.7MiB live, 9 045.7MiB allocated; 4.5s collecting garbage
Samples
5.1s70 221×0valid
904.0ms4 076×2valid
122.0ms1 862×0invalid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-mult!: 766.0ms (19% of total)
ival-sub!: 606.0ms (15% of total)
ival-sqrt: 582.0ms (14.4% of total)
ival-div!: 575.0ms (14.3% of total)
adjust: 436.0ms (10.8% of total)
ival-log: 406.0ms (10.1% of total)
ival-neg: 335.0ms (8.3% of total)
ival-fabs: 127.0ms (3.2% of total)
ival-add!: 102.0ms (2.5% of total)
ival-exp: 90.0ms (2.2% of total)
ival-if: 4.0ms (0.1% of total)
ival->=: 3.0ms (0.1% of total)
Bogosity

rewrite5.0s (24.8%)

Memory
144.7MiB live, 5 015.6MiB allocated; 1.2s collecting garbage
Stop Event
44×iter-limit
32×saturated
24×node-limit
unsound
Counts
3 057 → 5 289

preprocess1.5s (7.3%)

Memory
-230.6MiB live, 1 345.7MiB allocated; 379ms collecting garbage
Stop Event
node-limit
iter-limit
unsound
Compiler

Compiled 1 773 to 1 404 computations (20.8% saved)

derivations1.1s (5.2%)

Memory
-41.0MiB live, 1 016.4MiB allocated; 226ms collecting garbage
Stop Event
done
fuel
Compiler

Compiled 750 to 482 computations (35.7% saved)

series1.0s (5%)

Memory
76.4MiB live, 1 638.7MiB allocated; 319ms collecting garbage
Counts
736 → 2 321
Calls

183 calls:

TimeVariablePointExpression
74.0ms
y
@-inf
((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) z x (- -4 x) -4 y (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) 4 (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ (* x (- 1 z)) y) (* x (- 1 z)) (- 1 z) 1 (fabs (* (+ (* z x) (- -4 x)) (/ -1 y))) (* (+ (* z x) (- -4 x)) (/ -1 y)) (/ -1 y) -1 (fabs (- (/ (- x -4) y) (* (/ x y) z))) (- (/ (- x -4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (* (/ x y) z) (/ x y))
56.0ms
x
@0
((neg (log (- (/ 1 x) 1))) (log (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ (+ (neg x) 1) x) (+ (neg x) 1) (neg x) x 1 (neg (log (- (/ 1 x) 1))) 0 (neg (log (- (/ 1 x) 1))) (log x) (neg (log (- (/ 1 x) 1))) (- (/ 1 x) 0) (/ 1 x) (neg (log (- (/ 1 x) 1))) (- x (neg (log x))) (neg (log x)))
38.0ms
b
@inf
((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) b 0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c) (* 4 a) 4 a c (* 2 a) 2 (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
26.0ms
b
@-inf
((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) b 0 (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) 2 c (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* c (- (/ (pow b 2) c) (* 4 a))) (- (/ (pow b 2) c) (* 4 a)) (/ (pow b 2) c) (pow b 2) (* 4 a) 4 a (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ b (* -2 (/ (* a c) b))) (* -2 (/ (* a c) b)) -2 (/ (* a c) b) (* a c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))) (* 2 (/ (* a (pow c 2)) (pow b 3))) (/ (* a (pow c 2)) (pow b 3)) (* a (pow c 2)) (pow c 2) (pow b 3) 3 (* -2 (/ c b)) (/ c b) (* 2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (* b b) (* (* 4 a) c))
23.0ms
z
@0
((fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- (- z 1) (/ 4 x)) x) (- (- z 1) (/ 4 x)) (- z 1) z 1 (/ 4 x) 4 x y (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) -4 (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (/ x y) (fabs (- (/ (- x -4) y) (* (/ x y) z))) (- (/ (- x -4) y) (* (/ x y) z)) (/ (- x -4) y) (- x -4) (* (/ x y) z) (fabs (+ (* (/ (- 1 z) y) x) (/ 4 y))) (+ (* (/ (- 1 z) y) x) (/ 4 y)) (/ (- 1 z) y) (- 1 z) (/ 4 y))

eval819.0ms (4.1%)

Memory
269.8MiB live, 1 464.9MiB allocated; 311ms collecting garbage
Compiler

Compiled 72 691 to 24 544 computations (66.2% saved)

regimes680.0ms (3.4%)

Memory
-13.1MiB live, 998.9MiB allocated; 227ms collecting garbage
Counts
363 → 97
Calls

26 calls:

96.0ms
b
77.0ms
x
59.0ms
(/.f64 #s(literal 1 binary64) x)
43.0ms
y
27.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 797 to 820 computations (-2.9% saved)

bsearch549.0ms (2.7%)

Memory
-36.7MiB live, 678.2MiB allocated; 103ms collecting garbage
Algorithm
42×binary-search
left-value
Stop Event
31×narrow-enough
11×predicate-same
Samples
242.0ms2 704×0valid
51.0ms180×0invalid
17.0ms112×2valid
Compiler

Compiled 16 186 to 14 774 computations (8.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult!: 37.0ms (25.6% of total)
ival-div!: 29.0ms (20% of total)
ival-add!: 27.0ms (18.6% of total)
ival-sqrt: 10.0ms (6.9% of total)
ival-sub!: 9.0ms (6.2% of total)
ival-neg: 9.0ms (6.2% of total)
ival->=: 7.0ms (4.8% of total)
ival-fabs: 6.0ms (4.1% of total)
ival-if: 5.0ms (3.5% of total)
adjust: 3.0ms (2.1% of total)
ival-exp: 2.0ms (1.4% of total)

analyze374.0ms (1.9%)

Memory
97.0MiB live, 648.4MiB allocated; 107ms 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
66.4%56.2%28.4%0.1%0%15.3%0%5
74%62.1%21.8%0.1%0%16%0%6
77.6%63.8%18.4%0.1%0%17.7%0%7
79.3%65%17%0.1%0%17.9%0%8
85%69.2%12.2%0.1%0%18.5%0%9
86.8%69.7%10.6%0.1%0%19.6%0%10
88.7%71.1%9.1%0.1%0%19.8%0%11
91.6%72.9%6.7%0.1%0%20.3%0%12
Compiler

Compiled 153 to 106 computations (30.7% saved)

prune373.0ms (1.8%)

Memory
-180.4MiB live, 575.7MiB allocated; 130ms collecting garbage
Counts
5 004 → 229
Compiler

Compiled 8 009 to 6 649 computations (17% saved)

start0.0ms (0%)

Memory
0.8MiB 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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