Herbie run

Date:Thursday, February 15th, 2024
Commit:aa763581 on add-id-expand-rule
Hostname:nightly with Racket 8.11.1
Seed:2024046
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: 10.5min)

sample2.9min (27.8%)

Results
41.8s179630×256valid
9.2s49422×256invalid
8.9s42518×256infinite
1.5min36050×8192exit
6.7s10861×1024valid
6.3s9432×2048valid
3.3s8462×512valid
3.1s4650×1024invalid
1.2s2473×512invalid
2.3s1978×4096valid
896.0ms783×8192valid
2.7s725×4096infinite
1.5s703×2048infinite
158.0ms430×512infinite
416.0ms414×1024infinite
65.0ms171×256unsamplable
Bogosity

soundness1.5min (14%)

Rules
192557×add0
166556×fma-define
136678×times-frac
129818×distribute-rgt-in
125724×distribute-lft-in
Stop Event
saturated
336×node limit
unsound
Compiler

Compiled 36293 to 22001 computations (39.4% saved)

localize1.4min (13.4%)

Compiler

Compiled 35520 to 18888 computations (46.8% saved)

eval1.1min (10.5%)

Compiler

Compiled 2870887 to 1858930 computations (35.2% saved)

regimes48.3s (7.6%)

Counts
8550 → 713
Calls

152 calls:

3.2s
l
2.5s
F
2.3s
t
2.0s
NaChar
1.8s
mu
Compiler

Compiled 8460 to 6518 computations (23% saved)

simplify44.3s (7%)

Algorithm
149×egg-herbie
Rules
117331×add0
81968×fma-define
70942×distribute-rgt-in
70634×distribute-lft-in
67314×times-frac
Stop Event
31×saturated
118×node limit
28×fuel
done
Counts
69624 → 57704
Compiler

Compiled 12684 to 8397 computations (33.8% saved)

rewrite26.7s (4.2%)

Algorithm
118×batch-egg-rewrite
Rules
65166×log1p-expm1-u
41808×expm1-log1p-u
35874×prod-diff
34424×fma-define
28572×add-exp-log
Stop Event
117×node limit
unsound
Counts
1214 → 42477

prune25.4s (4%)

Counts
93495 → 2920
Compiler

Compiled 128171 to 92130 computations (28.1% saved)

preprocess24.4s (3.9%)

Algorithm
31×egg-herbie
Rules
33628×fma-define
28670×fma-neg
15708×times-frac
15353×add0
14338×distribute-rgt-in
Stop Event
saturated
26×node limit
Compiler

Compiled 55486 to 33644 computations (39.4% saved)

bsearch22.0s (3.5%)

Algorithm
320×binary-search
79×left-value
Stop Event
predicate-same
314×narrow-enough
Results
7.8s31937×256valid
11.3s6368×8192exit
1.4s6247×256infinite
126.0ms685×256invalid
270.0ms682×1024valid
70.0ms233×512valid
48.0ms108×2048valid
20.0ms51×1024invalid
6.0ms21×512invalid
3.0ms4096valid
1.0ms512infinite
Compiler

Compiled 107691 to 80965 computations (24.8% saved)

series14.7s (2.3%)

Counts
1214 → 27147
Calls

8229 calls:

TimeVariablePointExpression
220.0ms
w
@inf
(log.f64 (pow.f64 (exp.f64 (pow.f64 D 2)) (*.f64 h (pow.f64 w 2))))
162.0ms
x
@inf
(sqrt.f64 (fma.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (fma.f64 2 (*.f64 t t) (*.f64 l l)) (neg.f64 (*.f64 l l))))
148.0ms
K
@0
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 -2 (cos.f64 (*.f64 K 1/2)))) (hypot.f64 1 (*.f64 1/2 (/.f64 (/.f64 U J) (cos.f64 (*.f64 K 1/2))))))) 3)
140.0ms
D
@inf
(log.f64 (*.f64 D (*.f64 (*.f64 M (/.f64 1/2 d)) (sqrt.f64 h))))
122.0ms
v
@0
(log.f64 (acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (fma.f64 v v -1))))

analyze11.1s (1.8%)

Algorithm
31×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%98.2%1.8%0%0%0%0
19.7%19.3%78.9%1.8%0%0%0%1
24.2%23.3%73.2%1.8%0%1.6%0%2
29.6%27.4%65.2%1.8%0%5.6%0%3
33.6%30.4%60.2%1.8%0%7.3%0.4%4
35.9%32.4%57.9%1.8%0%7.3%0.6%5
40.2%36.2%53.9%1.8%0%7.4%0.7%6
44.7%40.3%49.7%1.8%0%7.4%0.8%7
46.8%41.8%47.4%1.8%0%8.2%0.9%8
49.6%44.1%44.9%1.8%0%8.3%0.9%9
50.6%44.9%43.9%1.8%0%8.4%1%10
52.2%46.1%42.3%1.8%0%8.9%1%11
53.8%47.3%40.7%1.8%0%9.2%1%12
Compiler

Compiled 845 to 607 computations (28.2% saved)

end26.0ms (0%)

Profiling

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