Herbie run

Date:Thursday, April 24th, 2025
Commit:d5acc5eb on main
Seed:2025114
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:73 390.5 MB

Time bar (total: 1.2min)

sample45.6s (62.1%)

Memory
455.0MiB live, 41 922.9MiB allocated; 13.3s collecting garbage
Samples
18.9s20 948×5exit
6.8s39 043×1valid
6.2s109 769×0valid
4.6s16 308×2valid
567.0ms5 787×0invalid
295.0ms1 168×1exit
159.0ms1 470×0exit
1.0ms3exit
Precisions
Click to see histograms. Total time spent on operations: 30.9s
ival-exp: 6.3s (20.4% of total)
ival-cos: 4.4s (14.4% of total)
adjust: 4.4s (14.2% of total)
ival-pow: 3.5s (11.4% of total)
ival-log: 1.7s (5.6% of total)
ival-tan: 1.7s (5.4% of total)
ival-sqrt: 1.5s (5% of total)
ival-mult!: 1.5s (4.7% of total)
ival-sinh: 1.2s (3.8% of total)
ival-fmod: 1.1s (3.6% of total)
ival-sin: 696.0ms (2.3% of total)
ival-div!: 684.0ms (2.2% of total)
ival-acos: 545.0ms (1.8% of total)
ival-add!: 415.0ms (1.3% of total)
ival-pow2: 358.0ms (1.2% of total)
ival-sub!: 343.0ms (1.1% of total)
ival-neg: 239.0ms (0.8% of total)
ival-hypot: 143.0ms (0.5% of total)
ival-<=: 57.0ms (0.2% of total)
ival-atan: 51.0ms (0.2% of total)
ival-and: 31.0ms (0.1% of total)
ival-or: 14.0ms (0% of total)
ival-assert: 3.0ms (0% of total)
ival->: 2.0ms (0% of total)
ival-<: 2.0ms (0% of total)
Bogosity

rewrite8.8s (12%)

Memory
318.8MiB live, 8 649.0MiB allocated; 1.5s collecting garbage
Stop Event
175×iter-limit
48×node-limit
15×unsound
saturated
Counts
7 317 → 14 803

regimes5.0s (6.8%)

Memory
-131.8MiB live, 5 777.1MiB allocated; 1.7s collecting garbage
Counts
2 901 → 177
Calls

53 calls:

623.0ms
c
540.0ms
x
429.0ms
a
315.0ms
b
238.0ms
r
Compiler

Compiled 1 500 to 1 974 computations (-31.6% saved)

derivations2.8s (3.8%)

Memory
-61.6MiB live, 2 095.2MiB allocated; 376ms collecting garbage
Stop Event
10×fuel
10×done
Compiler

Compiled 1 378 to 910 computations (34% saved)

analyze2.6s (3.6%)

Memory
156.4MiB live, 2 886.4MiB allocated; 1.9s 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)

series2.4s (3.3%)

Memory
311.8MiB live, 3 245.8MiB allocated; 417ms collecting garbage
Counts
1 427 → 5 890
Calls

372 calls:

TimeVariablePointExpression
61.0ms
x
@0
((/ (- x lo) (- hi lo)) (+ (- 1 (/ x lo)) (+ (* (/ hi lo) (/ (- x hi) (neg lo))) (/ hi lo))) (- 1 (/ x lo)) 1 (+ (* (/ hi lo) (/ (- x hi) (neg lo))) (/ hi lo)) (/ hi lo) hi lo (/ (- x hi) (neg lo)) (- x hi) x (neg lo) (/ (- x lo) (- hi lo)) (+ (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (/ hi lo)) (- 1 (/ x lo)) (/ x lo) (/ (- x lo) (- hi lo)) (+ (/ hi lo) (- (- 1 (/ x lo)) (* (/ (- x hi) lo) (/ hi lo)))) (- (- 1 (/ x lo)) (* (/ (- x hi) lo) (/ hi lo))) (* (/ (- x hi) lo) (/ hi lo)) (/ (- x hi) lo) (/ (- x lo) (- hi lo)) (+ (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (/ hi lo)) (+ (- 1 (/ x lo)) (* (neg (/ (- x hi) lo)) (/ hi lo))) (* (neg (/ (- x hi) lo)) (/ hi lo)) (neg (/ (- x hi) lo)) (/ (- x hi) lo) (* (/ (- (/ x hi) 1) lo) hi) (/ (- (/ x hi) 1) lo) (- (/ x hi) 1) (/ x hi) (/ (- x lo) (- hi lo)) (+ (/ (- (* (- 1 (/ x lo)) (- 1 (/ x lo))) (* (* (/ (- x hi) lo) (/ hi lo)) (* (/ (- x hi) lo) (/ hi lo)))) (- (- 1 (/ x lo)) (* (/ hi lo) (/ (- x hi) (neg lo))))) (/ hi lo)) (/ (- (* (- 1 (/ x lo)) (- 1 (/ x lo))) (* (* (/ (- x hi) lo) (/ hi lo)) (* (/ (- x hi) lo) (/ hi lo)))) (- (- 1 (/ x lo)) (* (/ hi lo) (/ (- x hi) (neg lo))))) (- (* (- 1 (/ x lo)) (- 1 (/ x lo))) (* (* (/ (- x hi) lo) (/ hi lo)) (* (/ (- x hi) lo) (/ hi lo)))) (* (- 1 (/ x lo)) (- 1 (/ x lo))) (* (* (/ (- x hi) lo) (/ hi lo)) (* (/ (- x hi) lo) (/ hi lo))) (- (- 1 (/ x lo)) (* (/ hi lo) (/ (- x hi) (neg lo)))) (* (/ hi lo) (/ (- x hi) (neg lo))))
56.0ms
x
@inf
((log (/ (sinh x) x)) (* (+ (* (+ (* (* x x) 1/2835) -1/180) (* (* x x) x)) (* 1/6 x)) x) (+ (* (+ (* (* x x) 1/2835) -1/180) (* (* x x) x)) (* 1/6 x)) (+ (* (* x x) 1/2835) -1/180) (* x x) x 1/2835 -1/180 (* (* x x) x) (* 1/6 x) 1/6 (log (/ (sinh x) x)) (* (* x x) 1/6) (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (+ (* 1/120 (* x x)) 1/6) (* x x)) 1) (* (* (* (* x x) 1/120) x) x) (* (* (* x x) 1/120) x) (* (* x x) 1/120) 1/120 (log (/ (sinh x) x)) (/ (sinh x) x) (+ (* (* (+ (* (+ (* 1/5040 (* x x)) 1/120) (* x x)) 1/6) x) x) 1) (* (* 1/5040 (* (* x x) x)) (* (* x x) x)) (* 1/5040 (* (* x x) x)) 1/5040 (- (log (sinh (neg x))) (log (neg x))) (log (sinh (neg x))) (sinh (neg x)) (neg x) (log (neg x)))
47.0ms
hi
@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 (* (neg (/ (- x hi) lo)) (/ hi lo)) (neg (/ (- x hi) lo)) (/ (- x hi) lo) (- x hi) x hi lo (/ hi lo) (/ (- x lo) (- hi lo)) (+ (* (neg lo) (+ (/ 1 hi) (/ (neg x) (* hi hi)))) (/ x hi)) (/ (neg lo) hi) (neg lo) (/ (- x lo) (- hi lo)) (/ (+ (* (/ (- x lo) hi) lo) (- x lo)) hi) (+ (* (/ (- x lo) hi) lo) (- x lo)) (/ (- x lo) hi) (- x lo) (/ (- 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)) (/ (neg x) lo) (neg x) (/ (- x lo) (- hi lo)) (+ (* (neg lo) (+ (exp (* (log hi) -1)) (/ (neg x) (* hi hi)))) (/ x hi)) (+ (exp (* (log hi) -1)) (/ (neg x) (* hi hi))) (exp (* (log hi) -1)) (* (log hi) -1) (log hi) -1 (/ (neg x) (* hi hi)) (* hi hi) (/ x hi))
45.0ms
z
@0
((+ x (- (+ (/ (tan y) (- 1 (* (tan y) (/ (sin z) (cos z))))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (tan a))) x (- (+ (/ (tan y) (- 1 (* (tan y) (/ (sin z) (cos z))))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (tan a)) (+ (/ (tan y) (- 1 (* (tan y) (/ (sin z) (cos z))))) (/ (tan z) (- 1 (* (tan y) (tan z))))) (/ (tan y) (- 1 (* (tan y) (/ (sin z) (cos z))))) (tan y) y (- 1 (* (tan y) (/ (sin z) (cos z)))) 1 (* (tan y) (/ (sin z) (cos z))) (/ (sin z) (cos z)) (sin z) z (cos z) (/ (tan z) (- 1 (* (tan y) (tan z)))) (tan z) (- 1 (* (tan y) (tan z))) (* (tan y) (tan z)) (tan a) a (+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a) (+ x (- (tan (+ y z)) (tan (+ (+ a (PI)) (PI))))) (- (tan (+ y z)) (tan (+ (+ a (PI)) (PI)))) (tan (+ y z)) (+ y z) (tan (+ (+ a (PI)) (PI))) (+ (+ a (PI)) (PI)) (+ a (PI)) (PI) (+ x (/ (sin (- (+ z y) a)) (* (sin (+ (+ z y) (/ (PI) 2))) (cos a)))) (/ (sin (- (+ z y) a)) (* (sin (+ (+ z y) (/ (PI) 2))) (cos a))) (sin (- (+ z y) a)) (- (+ z y) a) (+ z y) (* (sin (+ (+ z y) (/ (PI) 2))) (cos a)) (sin (+ (+ z y) (/ (PI) 2))) (+ (+ z y) (/ (PI) 2)) (/ (PI) 2) 2 (cos a) (+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))) (* (tan z) (tan y)))
44.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (* r (sin b)) r (sin b) b (- (* (cos b) (cos a)) (* (sin b) (sin a))) (* (cos b) (cos a)) (cos b) (cos a) a (* (sin b) (sin a)) (sin a) (/ (* r (sin b)) (cos (+ a b))) (* r (tan b)) (tan b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (/ (* r (sin b)) (cos (+ a b))) (cos (+ a b)) (+ a b) (* (+ (/ b a) 1) a) (+ (/ b a) 1) (/ b a) 1 (/ (* r (sin b)) (cos (+ a b))) (* (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) b) (+ (* b (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))))) (/ r (cos a))) (/ (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a))))) (* (sin a) r) (+ 1/2 (* 1/2 (cos (* 2 a)))) 1/2 (* 1/2 (cos (* 2 a))) (cos (* 2 a)) (* 2 a) 2 (/ r (cos a)))

preprocess2.3s (3.2%)

Memory
-128.4MiB live, 2 546.9MiB allocated; 357ms collecting garbage
Stop Event
15×node-limit
saturated
Compiler

Compiled 6 907 to 6 030 computations (12.7% saved)

eval1.9s (2.6%)

Memory
-231.2MiB live, 3 143.8MiB allocated; 533ms collecting garbage
Compiler

Compiled 206 904 to 74 594 computations (63.9% saved)

prune1.4s (1.9%)

Memory
53.3MiB live, 2 466.4MiB allocated; 236ms collecting garbage
Counts
16 542 → 1 498
Compiler

Compiled 51 320 to 41 765 computations (18.6% saved)

bsearch442.0ms (0.6%)

Memory
27.5MiB live, 654.9MiB allocated; 60ms collecting garbage
Algorithm
35×left-value
20×binary-search
Stop Event
20×narrow-enough
Samples
212.0ms952×1valid
105.0ms1 208×0valid
1.0ms13×0exit
Compiler

Compiled 5 919 to 6 202 computations (-4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 243.0ms
ival-cos: 52.0ms (21.4% of total)
ival-tan: 49.0ms (20.1% of total)
ival-sin: 41.0ms (16.8% of total)
ival-div!: 35.0ms (14.4% of total)
adjust: 22.0ms (9% of total)
ival-mult!: 11.0ms (4.5% of total)
ival-exp: 10.0ms (4.1% of total)
ival-pow: 10.0ms (4.1% of total)
ival-add!: 9.0ms (3.7% of total)
ival-neg: 2.0ms (0.8% of total)
ival-sub!: 1.0ms (0.4% of total)
ival-pow2: 1.0ms (0.4% of total)

start1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

end0.0ms (0%)

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

Profiling

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