Herbie run

Date:Saturday, April 26th, 2025
Commit:45de6ef9 on artem-rules-updates
Seed:2025116
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:140 556.5 MB

Time bar (total: 2.3min)

sample1.5min (66.7%)

Memory
1 099.6MiB live, 92 582.4MiB allocated; 29.1s collecting garbage
Samples
25.5s44 362×2valid
16.3s97 244×1valid
14.0s147 567×0invalid
10.2s5 761×5exit
6.0s85 965×0valid
3.6s3 594×3valid
359.0ms4 308×0exit
151.0ms1 023×1exit
138.0ms129×4exit
4.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.0min
ival-tan: 11.7s (18.8% of total)
ival-pow: 10.7s (17.3% of total)
adjust: 6.3s (10.2% of total)
ival-cos: 4.6s (7.4% of total)
ival-log: 4.1s (6.7% of total)
ival-sin: 3.8s (6.1% of total)
ival-mult!: 3.4s (5.4% of total)
ival-div!: 2.7s (4.3% of total)
ival-sub!: 2.3s (3.8% of total)
ival-exp: 2.0s (3.3% of total)
ival-fabs: 1.8s (2.9% of total)
ival-sqrt: 1.7s (2.7% of total)
ival-expm1: 1.7s (2.7% of total)
ival-add!: 1.6s (2.5% of total)
ival-log1p: 1.1s (1.8% of total)
ival-atan: 497.0ms (0.8% of total)
ival-<: 495.0ms (0.8% of total)
ival-<=: 421.0ms (0.7% of total)
ival-cbrt: 363.0ms (0.6% of total)
ival-and: 325.0ms (0.5% of total)
ival-neg: 319.0ms (0.5% of total)
ival-assert: 69.0ms (0.1% of total)
ival-fmin: 66.0ms (0.1% of total)
ival->: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

rewrite19.1s (13.7%)

Memory
472.2MiB live, 18 068.5MiB allocated; 3.6s collecting garbage
Stop Event
240×iter-limit
104×node-limit
Counts
14 709 → 33 714

derivations5.7s (4.1%)

Memory
-12.4MiB live, 4 320.7MiB allocated; 561ms collecting garbage
Stop Event
23×fuel
done
Compiler

Compiled 2 971 to 1 803 computations (39.3% saved)

eval5.4s (3.9%)

Memory
-91.6MiB live, 7 041.5MiB allocated; 2.2s collecting garbage
Compiler

Compiled 552 424 to 186 591 computations (66.2% saved)

preprocess3.7s (2.6%)

Memory
-93.5MiB live, 4 232.9MiB allocated; 748ms collecting garbage
Stop Event
26×node-limit
saturated
Compiler

Compiled 5 635 to 4 058 computations (28% saved)

series3.2s (2.3%)

Memory
216.5MiB live, 4 247.8MiB allocated; 479ms collecting garbage
Counts
2 685 → 12 024
Calls

486 calls:

TimeVariablePointExpression
47.0ms
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))) (neg (- (exp (/ (log x) n)) 1)) (- (exp (/ (log x) n)) 1) (/ (log x) n) (- (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))
44.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))))
41.0ms
n
@0
((- (- (* (+ n 1) (log (+ n 1))) (* n (log n))) 1) (- (* (+ n 1) (log (+ n 1))) (* n (log n))) (* (+ n 1) (log (+ n 1))) (+ n 1) n 1 (log (+ n 1)) (* n (log n)) (log n))
40.0ms
x
@-inf
((- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) x -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (neg (- (exp (* (log x) 1/3)) 1)) (- (exp (* (log x) 1/3)) 1) (* (log x) 1/3) (log x) (- (pow (- x -1) 1/3) (cbrt x)) (pow (- x -1) 1/3) (- x -1) -1 (cbrt x) (- (cbrt (- (/ (* x x) (- x 1)) (/ 1 (- x 1)))) (cbrt x)) (cbrt (- (/ (* x x) (- x 1)) (/ 1 (- x 1)))) (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (/ (* x x) (- x 1)) (* x x) (- x 1) 1 (/ 1 (- x 1)) (/ (- (- x -1) x) (+ (pow (- x -1) 2/3) (+ (pow x 2/3) (cbrt (* (- x -1) x))))) (- (- x -1) x) (+ (pow (- x -1) 2/3) (+ (pow x 2/3) (cbrt (* (- x -1) x)))) (pow (- x -1) 2/3) 2/3 (+ (pow x 2/3) (cbrt (* (- x -1) x))) (pow x 2/3) (cbrt (* (- x -1) x)) (* (- x -1) x))
37.0ms
x
@0
((- (cbrt (+ x 1)) (cbrt x)) (* (pow x -2/3) 1/3) (pow x -2/3) x -2/3 1/3 (- (cbrt (+ x 1)) (cbrt x)) (neg (- (exp (* (log x) 1/3)) 1)) (- (exp (* (log x) 1/3)) 1) (* (log x) 1/3) (log x) (- (pow (- x -1) 1/3) (cbrt x)) (pow (- x -1) 1/3) (- x -1) -1 (cbrt x) (- (cbrt (- (/ (* x x) (- x 1)) (/ 1 (- x 1)))) (cbrt x)) (cbrt (- (/ (* x x) (- x 1)) (/ 1 (- x 1)))) (- (/ (* x x) (- x 1)) (/ 1 (- x 1))) (/ (* x x) (- x 1)) (* x x) (- x 1) 1 (/ 1 (- x 1)) (/ (- (- x -1) x) (+ (pow (- x -1) 2/3) (+ (pow x 2/3) (cbrt (* (- x -1) x))))) (- (- x -1) x) (+ (pow (- x -1) 2/3) (+ (pow x 2/3) (cbrt (* (- x -1) x)))) (pow (- x -1) 2/3) 2/3 (+ (pow x 2/3) (cbrt (* (- x -1) x))) (pow x 2/3) (cbrt (* (- x -1) x)) (* (- x -1) x))

regimes2.8s (2%)

Memory
-11.8MiB live, 3 579.4MiB allocated; 448ms collecting garbage
Counts
3 350 → 332
Calls

43 calls:

833.0ms
x
284.0ms
eps
132.0ms
b
126.0ms
b_2
99.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 1 633 to 1 803 computations (-10.4% saved)

prune2.7s (2%)

Memory
91.0MiB live, 3 224.6MiB allocated; 1.2s collecting garbage
Counts
39 064 → 1 623
Compiler

Compiled 67 335 to 51 581 computations (23.4% saved)

analyze2.2s (1.6%)

Memory
-179.4MiB live, 1 724.5MiB allocated; 1.4s 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)

bsearch1.4s (1%)

Memory
-149.4MiB live, 1 531.3MiB allocated; 263ms collecting garbage
Algorithm
128×binary-search
left-value
Stop Event
122×narrow-enough
predicate-same
Samples
370.0ms6 041×0valid
161.0ms548×2valid
148.0ms1 538×0invalid
126.0ms838×1valid
5.0ms61×0exit
2.0ms13×3valid
0.0ms1exit
Compiler

Compiled 33 348 to 34 647 computations (-3.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 551.0ms
ival-mult!: 155.0ms (28.1% of total)
adjust: 84.0ms (15.2% of total)
ival-pow: 71.0ms (12.9% of total)
ival-sqrt: 62.0ms (11.2% of total)
ival-div!: 62.0ms (11.2% of total)
ival-sub!: 33.0ms (6% of total)
ival-neg: 33.0ms (6% of total)
ival-cos: 19.0ms (3.4% of total)
ival-add!: 16.0ms (2.9% of total)
ival-expm1: 6.0ms (1.1% of total)
ival-cbrt: 5.0ms (0.9% of total)
ival-exp: 3.0ms (0.5% of total)
ival-log1p: 1.0ms (0.2% of total)
ival-log: 1.0ms (0.2% of total)

start1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

end0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Profiling

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