Herbie run

Date:Sunday, March 24th, 2024
Commit:5a8b346c on main
Hostname:nightly with Racket 8.11.1
Seed:2024084
Parameters:256 points for 4 iterations
Flags:
reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs
default

Time bar (total: 5.1min)

sample1.2min (24.5%)

Results
15.2s116218×256valid
8.7s23245×512valid
30.3s16238×8192exit
5.7s15951×1024valid
745.0ms4980×256infinite
3.6s4724×2048valid
422.0ms3838×256invalid
251.0ms1329×256unsamplable
6.0ms2×512infinite
Precisions
Click to see histograms. Total time spent on operations: 48.5s
Operation ival-pow, time spent: 14.6s, 30.0% of total-time
Operation ival-exp, time spent: 7.6s, 16.0% of total-time
Operation ival-log, time spent: 5.4s, 11.0% of total-time
Operation ival-cos, time spent: 3.9s, 8.0% of total-time
Operation ival-mult, time spent: 2.4s, 5.0% of total-time
Operation ival-add, time spent: 2.0s, 4.0% of total-time
Operation ival-<=, time spent: 1.6s, 3.0% of total-time
Operation ival-sqrt, time spent: 1.5s, 3.0% of total-time
Operation ival-sin, time spent: 1.5s, 3.0% of total-time
Operation ival-div, time spent: 1.5s, 3.0% of total-time
Operation ival-sinh, time spent: 1.4s, 3.0% of total-time
Operation ival-sub, time spent: 861.0ms, 2.0% of total-time
Operation ival-tan, time spent: 766.0ms, 2.0% of total-time
Operation ival-fmod, time spent: 745.0ms, 2.0% of total-time
Operation ival-acos, time spent: 625.0ms, 1.0% of total-time
Operation ival-neg, time spent: 542.0ms, 1.0% of total-time
Operation const, time spent: 527.0ms, 1.0% of total-time
Operation ival-==, time spent: 230.0ms, 0.0% of total-time
Operation ival-and, time spent: 221.0ms, 0.0% of total-time
Operation ival-<, time spent: 173.0ms, 0.0% of total-time
Operation ival-atan, time spent: 113.0ms, 0.0% of total-time
Operation ival->=, time spent: 99.0ms, 0.0% of total-time
Operation ival-or, time spent: 84.0ms, 0.0% of total-time
Operation ival->, time spent: 33.0ms, 0.0% of total-time
Bogosity

eval49.1s (16.1%)

Compiler

Compiled 1150783 to 628076 computations (45.4% saved)

localize46.0s (15.1%)

Results
6.4s11112×256valid
3.1s1957×512valid
15.3s1816×2048valid
2.5s912×1024valid
11.4s912×8192exit
385.0ms360×256infinite
134.0ms274×256unsamplable
56.0ms36×512invalid
11.0ms18×256invalid
89.0ms11×4096valid
Compiler

Compiled 9952 to 5122 computations (48.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.5s
Operation ival-pow, time spent: 5.8s, 17.0% of total-time
Operation ival-log, time spent: 4.3s, 12.0% of total-time
Operation ival-mult, time spent: 4.2s, 12.0% of total-time
Operation ival-exp, time spent: 3.0s, 9.0% of total-time
Operation composed, time spent: 2.6s, 8.0% of total-time
Operation ival-asin, time spent: 2.0s, 6.0% of total-time
Operation ival-cos, time spent: 1.9s, 6.0% of total-time
Operation ival-fmod, time spent: 1.6s, 5.0% of total-time
Operation ival-add, time spent: 1.5s, 4.0% of total-time
Operation ival-sub, time spent: 1.4s, 4.0% of total-time
Operation ival-sin, time spent: 1.3s, 4.0% of total-time
Operation ival-acos, time spent: 1.3s, 4.0% of total-time
Operation ival-div, time spent: 1.2s, 3.0% of total-time
Operation ival-sqrt, time spent: 698.0ms, 2.0% of total-time
Operation const, time spent: 629.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 507.0ms, 1.0% of total-time
Operation ival-tan, time spent: 337.0ms, 1.0% of total-time
Operation ival-e, time spent: 131.0ms, 0.0% of total-time
Operation ival-neg, time spent: 117.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 53.0ms, 0.0% of total-time
Operation ival-fabs, time spent: 18.0ms, 0.0% of total-time
Operation ival-pi, time spent: 15.0ms, 0.0% of total-time
Operation ival-atan, time spent: 2.0ms, 0.0% of total-time

analyze32.9s (10.8%)

Algorithm
20×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%73.7%26.3%0%0%0%0
22.1%16.3%57.5%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%1.1%0.2%6
71.1%51.1%20.8%26.3%0%1.6%0.2%7
72.1%51.6%20%26.3%0%1.8%0.4%8
74.4%53%18.2%26.3%0%2%0.4%9
75.8%53.9%17.2%26.3%0%2.1%0.5%10
76.6%54.3%16.6%26.3%0%2.3%0.5%11
77.3%54.8%16.1%26.3%0%2.3%0.5%12
Compiler

Compiled 295 to 210 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.2s
Operation ival-tan, time spent: 5.2s, 43.0% of total-time
Operation ival-<=, time spent: 3.7s, 30.0% of total-time
Operation ival-add, time spent: 942.0ms, 8.0% of total-time
Operation ival-and, time spent: 398.0ms, 3.0% of total-time
Operation ival-==, time spent: 333.0ms, 3.0% of total-time
Operation const, time spent: 309.0ms, 3.0% of total-time
Operation ival-sub, time spent: 278.0ms, 2.0% of total-time
Operation ival-cos, time spent: 239.0ms, 2.0% of total-time
Operation ival-or, time spent: 192.0ms, 2.0% of total-time
Operation ival-mult, time spent: 180.0ms, 1.0% of total-time
Operation ival-pow, time spent: 123.0ms, 1.0% of total-time
Operation ival-sin, time spent: 100.0ms, 1.0% of total-time
Operation ival-div, time spent: 55.0ms, 0.0% of total-time
Operation ival-exp, time spent: 50.0ms, 0.0% of total-time
Operation ival-fmod, time spent: 41.0ms, 0.0% of total-time
Operation ival-log, time spent: 24.0ms, 0.0% of total-time
Operation ival-sqrt, time spent: 22.0ms, 0.0% of total-time
Operation ival-neg, time spent: 22.0ms, 0.0% of total-time
Operation ival-sinh, time spent: 12.0ms, 0.0% of total-time
Operation ival-<, time spent: 5.0ms, 0.0% of total-time
Operation ival->, time spent: 3.0ms, 0.0% of total-time
Operation ival-atan, time spent: 1.0ms, 0.0% of total-time
Operation ival->=, time spent: 1.0ms, 0.0% of total-time
Operation ival-acos, time spent: 0.0ms, 0.0% of total-time

soundness30.8s (10.1%)

Rules
16354×fma-define
16018×log1p-expm1-u
13803×expm1-log1p-u
12627×times-frac
12252×associate-*r*
Stop Event
6×saturated
57×node limit
13×fuel
2×unsound
7×done
Compiler

Compiled 11182 to 6421 computations (42.6% saved)

simplify22.7s (7.4%)

Algorithm
85×egg-herbie
Rules
21358×fma-define
17867×associate-*r*
17576×distribute-lft-in
16392×times-frac
16371×fma-neg
Stop Event
20×saturated
59×node limit
6×unsound
Counts
28065 → 24100

prune15.7s (5.1%)

Counts
45335 → 1802
Compiler

Compiled 65455 to 43236 computations (33.9% saved)

rewrite13.4s (4.4%)

Algorithm
65×batch-egg-rewrite
Rules
33609×log1p-expm1-u
29224×expm1-log1p-u
15381×pow1
14307×add-exp-log
14046×add-log-exp
Stop Event
65×node limit
Counts
488 → 18489

preprocess7.1s (2.3%)

Algorithm
20×egg-herbie
Rules
5179×fma-neg
5054×fma-define
1625×distribute-rgt-in
1605×unsub-neg
1581×distribute-lft-in
Stop Event
18×saturated
2×node limit
Results
1.2s7104×256valid
415.0ms1402×512valid
379.0ms1004×1024valid
84.0ms338×256infinite
285.0ms284×2048valid
191.0ms108×8192exit
Compiler

Compiled 8415 to 5014 computations (40.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
Operation ival-cos, time spent: 224.0ms, 14.0% of total-time
Operation ival-mult, time spent: 216.0ms, 14.0% of total-time
Operation ival-log, time spent: 198.0ms, 13.0% of total-time
Operation ival-sub, time spent: 163.0ms, 10.0% of total-time
Operation ival-pow, time spent: 131.0ms, 8.0% of total-time
Operation ival-add, time spent: 109.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 87.0ms, 6.0% of total-time
Operation ival-sin, time spent: 75.0ms, 5.0% of total-time
Operation ival-exp, time spent: 69.0ms, 4.0% of total-time
Operation ival-sinh, time spent: 56.0ms, 4.0% of total-time
Operation ival-div, time spent: 55.0ms, 4.0% of total-time
Operation ival-tan, time spent: 49.0ms, 3.0% of total-time
Operation ival-acos, time spent: 38.0ms, 2.0% of total-time
Operation ival-fmod, time spent: 37.0ms, 2.0% of total-time
Operation const, time spent: 31.0ms, 2.0% of total-time
Operation ival-neg, time spent: 11.0ms, 1.0% of total-time
Operation ival-atan, time spent: 4.0ms, 0.0% of total-time

regimes5.8s (1.9%)

Counts
4156 → 171
Calls

53 calls:

999.0ms
x
835.0ms
a
516.0ms
b
507.0ms
r
291.0ms
hi
Compiler

Compiled 1973 to 1381 computations (30% saved)

series4.5s (1.5%)

Counts
488 → 9576
Calls

2265 calls:

TimeVariablePointExpression
247.0ms
r
@0
(pow (pow (* r (sin b)) 6) 1/6)
170.0ms
x
@0
(* (pow 2 1/4) x)
141.0ms
b
@0
(/ 1 (/ (cos (+ b a)) (pow (pow (* r (sin b)) 6) 1/6)))
109.0ms
x
@0
(sqrt (* 2 (cbrt x)))
102.0ms
x
@inf
(log (/ (sinh x) x))

bsearch1.8s (0.6%)

Algorithm
36×binary-search
7×left-value
Stop Event
2×predicate-same
34×narrow-enough
Results
983.0ms2847×256valid
532.0ms1583×512valid
15.0ms98×256infinite
Compiler

Compiled 7145 to 5133 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 980.0ms
Operation ival-cos, time spent: 513.0ms, 52.0% of total-time
Operation ival-sin, time spent: 186.0ms, 19.0% of total-time
Operation ival-add, time spent: 88.0ms, 9.0% of total-time
Operation ival-mult, time spent: 58.0ms, 6.0% of total-time
Operation ival-tan, time spent: 36.0ms, 4.0% of total-time
Operation ival-div, time spent: 33.0ms, 3.0% of total-time
Operation ival-pow, time spent: 27.0ms, 3.0% of total-time
Operation ival-exp, time spent: 26.0ms, 3.0% of total-time
Operation const, time spent: 7.0ms, 1.0% of total-time
Operation ival-sub, time spent: 4.0ms, 0.0% of total-time
Operation ival-neg, time spent: 3.0ms, 0.0% of total-time

end0.0ms (0%)

Profiling

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