Herbie run

Date:Wednesday, May 7th, 2025
Commit:efe40450 on artem-rules-updates
Seed:2025127
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:131 803.1 MB

Time bar (total: 2.3min)

sample1.6min (68.3%)

Memory
1 445.6MiB live, 88 490.1MiB allocated; 33.4s collecting garbage
Samples
26.0s44 583×2valid
15.6s97 146×1valid
14.5s144 874×0invalid
10.7s6 051×5exit
5.7s85 831×0valid
2.5s3 600×3valid
280.0ms4 152×0exit
276.0ms1 064×1exit
189.0ms170×4exit
9.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.0min
ival-tan: 11.7s (19% of total)
ival-pow: 10.9s (17.7% of total)
adjust: 7.0s (11.4% of total)
ival-cos: 4.9s (7.9% of total)
ival-mult!: 3.7s (6% of total)
ival-log: 3.6s (5.8% of total)
ival-sin: 3.3s (5.3% of total)
ival-div!: 2.7s (4.4% of total)
ival-exp: 2.2s (3.5% of total)
ival-fabs: 1.7s (2.8% of total)
ival-sub!: 1.7s (2.8% of total)
ival-add!: 1.7s (2.7% of total)
ival-expm1: 1.5s (2.5% of total)
ival-log1p: 1.2s (2% of total)
ival-sqrt: 1.2s (2% of total)
ival-<=: 512.0ms (0.8% of total)
ival-neg: 510.0ms (0.8% of total)
ival-<: 505.0ms (0.8% of total)
ival-atan: 327.0ms (0.5% of total)
ival-and: 309.0ms (0.5% of total)
ival-cbrt: 255.0ms (0.4% of total)
ival-fmin: 101.0ms (0.2% of total)
ival-assert: 58.0ms (0.1% of total)
ival->: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

rewrite17.8s (12.9%)

Memory
426.0MiB live, 16 018.6MiB allocated; 3.6s collecting garbage
Stop Event
242×iter-limit
101×node-limit
unsound
Counts
13 365 → 33 095

derivations5.5s (4%)

Memory
-37.9MiB live, 4 167.4MiB allocated; 886ms collecting garbage
Stop Event
21×fuel
done
Compiler

Compiled 3 134 to 1 927 computations (38.5% saved)

eval5.2s (3.8%)

Memory
-210.8MiB live, 5 794.6MiB allocated; 2.9s collecting garbage
Compiler

Compiled 420 241 to 147 985 computations (64.8% saved)

preprocess3.9s (2.8%)

Memory
-476.6MiB live, 4 123.4MiB allocated; 757ms collecting garbage
Stop Event
28×node-limit
Compiler

Compiled 6 128 to 4 464 computations (27.2% saved)

series3.3s (2.4%)

Memory
195.7MiB live, 3 844.6MiB allocated; 552ms collecting garbage
Counts
2 442 → 10 923
Calls

486 calls:

TimeVariablePointExpression
87.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (/ (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) n) (- (* n (log (/ x (+ 1 x)))) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))))) (* n (log (/ x (+ 1 x)))) n (log (/ x (+ 1 x))) (/ x (+ 1 x)) x (+ 1 x) 1 (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (* (log x) (log x)) (log x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (/ (- 1 (* 1/2 (/ 1 x))) n) (- 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (* -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) x)) -1 (/ (+ 1 (* -1 (/ (neg (log x)) n))) x) (+ 1 (* -1 (/ (neg (log x)) n))) (* -1 (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n n)) (+ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) (* n (log (/ (+ 1 x) x)))) (* n (log (/ (+ 1 x) x))) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (* n n))
76.0ms
x
@inf
((- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* -1/9 (cbrt x)) (+ (* (pow x 4/3) 1/3) (* (pow x -2/3) 5/81))) (* x x)) (+ (* (pow x -5/3) -1/9) (+ (* (pow x -8/3) 5/81) (* (pow x -2/3) 1/3))) (pow x -5/3) x -5/3 -1/9 (+ (* (pow x -8/3) 5/81) (* (pow x -2/3) 1/3)) (pow x -8/3) -8/3 5/81 (* (pow x -2/3) 1/3) (pow x -2/3) -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (neg (- (exp (* (log x) 1/3)) 1)) (- (exp (* (log x) 1/3)) 1) (pow x 1/3) (- (cbrt (+ x 1)) (cbrt x)) (* (pow (/ 1 x) 2/3) 1/3) (pow (/ 1 x) 2/3) (/ 1 x) 1 2/3 (- (cbrt (+ x 1)) (cbrt x)) (* (exp (log (pow x -2/3))) 1/3) (exp (log (pow x -2/3))) (log (pow x -2/3)) (- (cbrt (+ x 1)) (cbrt x)) (/ (+ (* (exp (/ (* (log x) 4) 3)) 1/3) (* -1/9 (cbrt x))) (* x x)) (+ (* (exp (/ (* (log x) 4) 3)) 1/3) (* -1/9 (cbrt x))) (exp (/ (* (log x) 4) 3)) (/ (* (log x) 4) 3) (* (log x) 4) (log x) 4 3 (* -1/9 (cbrt x)) (cbrt x) (* x x))
66.0ms
x
@-inf
((/ (pow (/ (sin x) x) 2) (+ (cos x) 1)) (pow (/ (sin x) x) 2) (/ (sin x) x) (sin x) x 2 (+ (cos x) 1) (cos x) 1 (* (/ (- 1 (cos x)) x) (/ 1 x)) (/ (- 1 (cos x)) x) (* 1/2 x) 1/2 (/ 1 x) (/ (- (* (/ 1 x) (* x x)) (* x (cos x))) (* (* x x) x)) (- (* (/ 1 x) (* x x)) (* x (cos x))) (* (/ 1 x) (* x x)) (* x x) (* x (cos x)) (cos x) (* (* x x) x) (* (* (- 1 (cos x)) (/ 1 x)) (/ 1 x)) (* (- 1 (cos x)) (/ 1 x)) (- 1 (cos x)) (/ (+ (* (/ (neg (cos x)) x) x) (* (/ 1 x) x)) (* x x)) (+ (* (/ (neg (cos x)) x) x) (* (/ 1 x) x)) (/ (neg (cos x)) x) (neg (cos x)) (* (/ 1 x) x))
62.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))
51.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n)) (/ (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) n) (+ (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (log x)) (+ (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (neg (log (+ 1 x)))) (neg (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x)))) 1/2 (- (* (log (+ 1 x)) (log (+ 1 x))) (* (log x) (log x))) (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)) (+ 1 x) 1 x (* (log x) (log x)) (log x) n (neg (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) x) (+ (* (exp (neg (/ (neg (log x)) n))) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x)) (/ (exp (neg (/ (neg (log x)) n))) n)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (neg (log x)) (/ (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ (exp (neg (/ (neg (log x)) n))) n))

regimes2.6s (1.9%)

Memory
-23.6MiB live, 3 578.4MiB allocated; 562ms collecting garbage
Counts
3 159 → 354
Calls

43 calls:

764.0ms
x
206.0ms
eps
139.0ms
N
123.0ms
b
113.0ms
b_2
Compiler

Compiled 1 616 to 1 771 computations (-9.6% saved)

prune2.3s (1.7%)

Memory
-168.7MiB live, 2 501.8MiB allocated; 1.2s collecting garbage
Counts
31 459 → 1 547
Compiler

Compiled 55 481 to 46 068 computations (17% saved)

bsearch1.5s (1.1%)

Memory
143.8MiB live, 1 933.8MiB allocated; 388ms collecting garbage
Algorithm
134×binary-search
14×left-value
Stop Event
132×narrow-enough
predicate-same
Samples
420.0ms6 264×0valid
203.0ms1 097×1valid
164.0ms568×2valid
98.0ms1 462×0invalid
5.0ms71×0exit
4.0ms23×3valid
Compiler

Compiled 35 337 to 35 759 computations (-1.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 627.0ms
ival-pow: 130.0ms (20.7% of total)
ival-mult!: 111.0ms (17.7% of total)
ival-sqrt: 106.0ms (16.9% of total)
adjust: 60.0ms (9.6% of total)
ival-div!: 54.0ms (8.6% of total)
ival-cos: 42.0ms (6.7% of total)
ival-neg: 36.0ms (5.7% of total)
ival-sub!: 33.0ms (5.3% of total)
ival-add!: 30.0ms (4.8% of total)
ival-exp: 9.0ms (1.4% of total)
ival-expm1: 6.0ms (1% of total)
ival-log1p: 4.0ms (0.6% of total)
ival-log: 3.0ms (0.5% of total)
ival-cbrt: 2.0ms (0.3% of total)

analyze1.5s (1.1%)

Memory
-46.0MiB live, 1 348.1MiB allocated; 452ms collecting garbage
Algorithm
28×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%61.1%38.9%0%0%0%0
7.4%4.5%56.6%38.9%0%0%0%1
22.3%13.6%47.5%38.9%0%0%0%2
40.2%23.5%34.9%38.9%0%2.7%0%3
53.4%31.1%27.2%38.9%0%2.8%0%4
63%36.3%21.3%38.9%0%3.6%0%5
65.9%37.5%19.4%38.9%0%4.2%0%6
70.4%38.8%16.3%38.9%0%6%0%7
73.6%40.2%14.4%38.9%0%6.5%0%8
76.3%40.9%12.7%38.9%0%7.5%0%9
78.4%41.4%11.4%38.9%0%8.3%0%10
81.1%42.4%9.9%38.9%0%8.8%0%11
82.3%42.7%9.2%38.9%0%9.3%0%12
Compiler

Compiled 483 to 337 computations (30.2% saved)

start1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Profiling

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