Herbie run

Date:Tuesday, February 13th, 2024
Commit:0d92dd71 on add-id-expand-rule
Hostname:nightly with Racket 8.11.1
Seed:2024044
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: 13.8min)

localize3.9min (28.3%)

Results
Compiler

Compiled 114852 to 27983 computations (75.6% saved)

eval2.8min (20%)

Compiler

Compiled 24429748 to 3784862 computations (84.5% saved)

sample1.5min (11.2%)

Results
1.5min247680×256valid
1.8s8384×256invalid
761.0ms2126×256precondition
Bogosity

soundness1.3min (9.3%)

Rules
156115×add0
76180×fma-define
53791×distribute-rgt-in
49867×distribute-lft-in
47155×log1p-expm1-u
Stop Event
261×node limit
Compiler

Compiled 35746 to 17180 computations (51.9% saved)

preprocess1.0min (7.5%)

Algorithm
30×egg-herbie
Rules
19047×fma-define
16207×add0
14943×fma-neg
8927×distribute-rgt-in
7823×unsub-neg
Stop Event
saturated
27×node limit
Results
Compiler

Compiled 58936 to 24784 computations (57.9% saved)

simplify53.1s (6.4%)

Algorithm
147×egg-herbie
Rules
115541×add0
41942×fma-define
36566×distribute-lft-in
35662×distribute-rgt-in
29111×times-frac
Stop Event
29×saturated
118×node limit
29×fuel
Counts
74344 → 56521
Compiler

Compiled 9010 to 4440 computations (50.7% saved)

prune43.9s (5.3%)

Counts
153670 → 3380
Compiler

Compiled 269170 to 133173 computations (50.5% saved)

analyze33.3s (4%)

Algorithm
30×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.6%97.4%0%0%0%0
0.2%0%2.6%97.4%0%0%0%1
9.3%0.2%2.4%97.4%0%0%0%2
43.2%1.1%1.5%97.4%0%0%0%3
48.1%1.3%1.4%97.4%0%0%0%4
65.1%1.7%0.9%97.4%0%0%0%5
70.3%1.8%0.8%97.4%0%0%0%6
79.1%2%0.5%97.4%0%0%0%7
81.1%2.1%0.5%97.4%0%0.1%0%8
86.1%2.2%0.4%97.4%0%0.1%0%9
87.6%2.2%0.3%97.4%0%0.1%0%10
91.9%2.3%0.2%97.4%0%0.1%0%11
92.6%2.3%0.2%97.4%0%0.1%0%12
Compiler

Compiled 2668 to 1270 computations (52.4% saved)

regimes26.4s (3.2%)

Counts
6586 → 295
Calls

136 calls:

925.0ms
cosTheta_i
774.0ms
maxCos
738.0ms
ux
737.0ms
(*.f32 (*.f32 uy 2) (PI.f32))
692.0ms
s
Compiler

Compiled 10822 to 7330 computations (32.3% saved)

rewrite24.9s (3%)

Algorithm
118×batch-egg-rewrite
Rules
55576×log1p-expm1-u
42410×expm1-log1p-u
30978×add-exp-log
30800×add-log-exp
30622×pow1
Stop Event
118×node limit
Counts
1267 → 43739

series15.2s (1.8%)

Counts
1267 → 30605
Calls

7488 calls:

TimeVariablePointExpression
362.0ms
dY.u
@inf
(pow.f32 (cbrt.f32 (sqrt.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dX.v)) 2) (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) dY.v)) 2)))) 3)
262.0ms
s
@0
(*.f32 s (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
248.0ms
dX.v
@inf
(/.f32 (*.f32 1 (*.f32 (floor.f32 h) dX.v)) (sqrt.f32 (fmax.f32 (fma.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 w) dX.u) (*.f32 (*.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 h) dX.v))) (fma.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) (*.f32 dY.v (*.f32 (floor.f32 h) dY.v)))))))
242.0ms
dY.v
@inf
(pow.f32 (cbrt.f32 (sqrt.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dX.v)) 2) (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) dY.v)) 2)))) 3)
185.0ms
dY.u
@inf
(log1p.f32 (/.f32 (*.f32 (floor.f32 h) dY.v) (sqrt.f32 (fmax.f32 (pow.f32 (hypot.f32 (*.f32 dX.u (floor.f32 w)) (*.f32 dX.v (floor.f32 h))) 2) (pow.f32 (hypot.f32 (*.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 h) dY.v)) 2)))))

bsearch30.0ms (0%)

Algorithm
41×binary-search
18×left-value
Stop Event
41×narrow-enough
Compiler

Compiled 2707 to 1526 computations (43.6% saved)

end10.0ms (0%)

Profiling

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