Herbie run

Date:Monday, May 12th, 2025
Commit:2ad78556 on artem-rules-updates
Seed:2025132
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:124 620.9 MB

Time bar (total: 2.3min)

sample1.6min (69.8%)

Memory
1 561.3MiB live, 88 524.8MiB allocated; 31.9s collecting garbage
Samples
27.1s44 460×2valid
15.7s97 007×1valid
15.4s147 136×0invalid
11.2s5 861×5exit
6.5s86 149×0valid
3.2s3 550×3valid
322.0ms4 269×0exit
308.0ms1 045×1exit
103.0ms122×4exit
5.0ms3exit
2.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.1min
ival-tan: 13.5s (20.9% of total)
ival-pow: 11.0s (17% of total)
adjust: 6.7s (10.3% of total)
ival-mult!: 4.0s (6.2% of total)
ival-log: 3.8s (5.9% of total)
ival-cos: 3.8s (5.9% of total)
ival-sin: 3.3s (5.1% of total)
ival-add!: 3.2s (5% of total)
ival-div!: 3.2s (4.9% of total)
ival-exp: 2.2s (3.5% of total)
ival-expm1: 1.9s (2.9% of total)
ival-sub!: 1.8s (2.8% of total)
ival-fabs: 1.6s (2.5% of total)
ival-sqrt: 1.4s (2.1% of total)
ival-log1p: 1.1s (1.7% of total)
ival-<: 472.0ms (0.7% of total)
ival-atan: 334.0ms (0.5% of total)
ival-<=: 327.0ms (0.5% of total)
ival-and: 321.0ms (0.5% of total)
ival-cbrt: 262.0ms (0.4% of total)
ival-neg: 256.0ms (0.4% of total)
ival-assert: 62.0ms (0.1% of total)
ival-fmin: 55.0ms (0.1% of total)
ival->: 1.0ms (0% of total)
exact: 0.0ms (0% of total)
Bogosity

rewrite19.7s (14.4%)

Memory
73.3MiB live, 14 441.9MiB allocated; 4.5s collecting garbage
Stop Event
216×iter-limit
82×node-limit
29×unsound
16×saturated
Counts
9 631 → 22 889

derivations4.3s (3.1%)

Memory
145.9MiB live, 2 829.2MiB allocated; 434ms collecting garbage
Stop Event
16×fuel
12×done
Compiler

Compiled 2 486 to 1 600 computations (35.6% saved)

preprocess3.8s (2.8%)

Memory
-444.1MiB live, 3 941.3MiB allocated; 1.0s collecting garbage
Stop Event
28×node-limit
Compiler

Compiled 6 458 to 5 081 computations (21.3% saved)

eval3.6s (2.7%)

Memory
94.3MiB live, 3 880.9MiB allocated; 1.8s collecting garbage
Compiler

Compiled 299 231 to 112 266 computations (62.5% saved)

series3.1s (2.2%)

Memory
313.0MiB live, 3 439.0MiB allocated; 753ms collecting garbage
Counts
2 199 → 7 432
Calls

468 calls:

TimeVariablePointExpression
104.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))
102.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)
73.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n)) (/ (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) n) (- (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (log x))) (+ (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (neg (log (- x -1)))) (neg (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n)) (/ (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) n) (* 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x)))) 1/2 (- (* (log (- x -1)) (log (- x -1))) (* (log x) (log x))) (* (log (- x -1)) (log (- x -1))) (log (- x -1)) (- x -1) x -1 (* (log x) (log x)) (log x) n (neg (log (- x -1))) (neg (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (/ (- x -1) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (exp (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (/ (neg (log x)) n) (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (- (/ 1/2 (* n n)) (/ 1/2 n)) (/ 1/2 (* n n)) (* n n) (/ 1/2 n) (/ 1 n) 1 (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (pow x (/ 1 n)) (+ (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) 1) (+ (* (pow (/ (log x) n) 3) 1/6) (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n))) (pow (/ (log x) n) 3) (/ (log x) n) 3 1/6 (+ (* (/ (* (log x) (log x)) (* n n)) 1/2) (/ (log x) n)) (/ (* (log x) (log x)) (* n n)))
66.0ms
N
@inf
((- (log (+ N 1)) (log N)) (log (+ N 1)) (+ N 1) N 1 (log N))
65.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (neg (/ (neg (log x)) n))) (* n x)) (neg (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n)) (/ (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) n) (- (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ 1 x)) (neg (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n)) (/ (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) n) (+ (* (/ (* (log x) (log x)) (* n x)) 1/2) (/ (log x) x)) (/ (* (log x) (log x)) (* n x)) (* (log x) (log x)) (log x) x (* n x) n 1/2 (/ (log x) x) (/ 1 x) 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (/ (- (/ 1 n) (/ 1/2 (* n x))) x) (- (/ 1 n) (/ 1/2 (* n x))) (/ 1/2 (* n x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (- x -1) x)) n) (log (/ (- x -1) x)) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x) (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) (/ (- (* 1/3 (/ 1 x)) 1/2) x) (/ 1/3 (* x x)) 1/3 (* x x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/ (* (* x x) 1/2) (* n n)) (* (* x x) 1/2) (* n n) (pow x (/ 1 n)))

regimes2.1s (1.6%)

Memory
4.1MiB live, 2 829.5MiB allocated; 371ms collecting garbage
Counts
2 522 → 280
Calls

43 calls:

585.0ms
x
281.0ms
eps
142.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
110.0ms
b
87.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1 561 to 1 721 computations (-10.2% saved)

analyze1.8s (1.3%)

Memory
1.5MiB live, 1 331.5MiB allocated; 993ms 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)

bsearch1.5s (1.1%)

Memory
-20.4MiB live, 1 551.5MiB allocated; 243ms collecting garbage
Algorithm
92×binary-search
left-value
Stop Event
88×narrow-enough
predicate-same
Samples
409.0ms1 212×1valid
282.0ms4 535×0valid
200.0ms418×2valid
56.0ms944×0invalid
11.0ms140×0exit
2.0ms11×3valid
Compiler

Compiled 26 177 to 26 924 computations (-2.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 751.0ms
ival-pow: 318.0ms (42.3% of total)
adjust: 170.0ms (22.6% of total)
ival-mult!: 83.0ms (11.1% of total)
ival-div!: 46.0ms (6.1% of total)
ival-sqrt: 38.0ms (5.1% of total)
ival-sub!: 26.0ms (3.5% of total)
ival-neg: 23.0ms (3.1% of total)
ival-add!: 15.0ms (2% of total)
ival-cos: 10.0ms (1.3% of total)
ival-log1p: 7.0ms (0.9% of total)
ival-log: 7.0ms (0.9% of total)
ival-cbrt: 4.0ms (0.5% of total)
ival-expm1: 4.0ms (0.5% of total)

prune1.5s (1.1%)

Memory
-90.7MiB live, 1 849.4MiB allocated; 286ms collecting garbage
Counts
22 669 → 1 294
Compiler

Compiled 43 778 to 38 346 computations (12.4% saved)

start1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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