Herbie run

Date:Wednesday, January 24th, 2024
Commit:5be52de6 on zane-regimes-2
Hostname:nightly with Racket 8.6
Seed:2024024
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: 24.5min)

sample7.4min (30.2%)

Results
2.7min17003×body8192exit
1.2min298284×body256valid
57.5s7458×body4096valid
44.6s46028×body512valid
31.4s11160×body2048valid
21.1s1124×body8192valid
19.9s25618×body1024valid
7.5s5808×body512infinite
6.6s27126×body256unsamplable
6.2s27387×body256infinite
5.2s27624×body256invalid
2.7s660×body2048infinite
2.6s384×body4096infinite
1.7s1683×body1024invalid
1.6s542×body1024infinite
1.3s1181×body2048invalid
776.0ms1177×body512invalid
97.0ms883×body256precondition
7.0msbody1024unsamplable
6.0msbody512unsamplable
Bogosity

localize6.9min (28%)

Results
Compiler

Compiled 78849 to 41723 computations (47.1% saved)

eval2.4min (9.6%)

Compiler

Compiled 6705487 to 3794143 computations (43.4% saved)

soundness1.8min (7.3%)

Rules
277888×fma-def
175830×associate-*r*
136614×log-prod
127972×associate-*l*
124450×fma-neg
Stop Event
saturated
unsound
398×node limit
Compiler

Compiled 46046 to 27355 computations (40.6% saved)

regimes1.5min (6%)

Counts
16986 → 662
Calls

137 calls:

7.0s
phi2
6.9s
phi1
6.4s
lambda1
5.7s
lambda2
4.5s
(-.f64 lambda1 lambda2)
Compiler

Compiled 467108 to 243948 computations (47.8% saved)

preprocess1.1min (4.6%)

Algorithm
51×egg-herbie
Rules
76366×fma-def
27106×div-sub
26806×fma-neg
24952×sub-neg
22390×distribute-lft-in
Stop Event
saturated
43×node limit
Compiler

Compiled 56280 to 32393 computations (42.4% saved)

prune55.3s (3.8%)

Counts
150559 → 6371
Compiler

Compiled 684273 to 479089 computations (30% saved)

simplify52.9s (3.6%)

Algorithm
214×egg-herbie
Rules
138084×fma-def
96626×associate-*r*
81022×associate-*l*
78442×times-frac
75488×log-prod
Stop Event
unsound
48×saturated
done
41×fuel
165×node limit
Counts
75385 → 62195
Compiler

Compiled 12384 to 8215 computations (33.7% saved)

analyze42.5s (2.9%)

Algorithm
53×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%79.4%20.6%0%0%0%0
14.8%11.8%67.6%20.6%0%0%0%1
22.6%17.7%60.4%21%0%0.9%0%2
32.7%24.7%50.8%21.2%0%3.3%0%3
39.8%29.8%45%21.2%0%4%0%4
45.4%33.8%40.6%21.2%0%4.5%0%5
48.4%35.7%38%21.2%0%5.1%0%6
51.8%37.8%35.2%21.2%0%5.7%0.1%7
53.5%38.9%33.8%21.3%0%6%0.1%8
56.4%40.6%31.4%21.3%0%6.6%0.2%9
57.7%41.4%30.3%21.3%0%6.8%0.2%10
59.8%42.7%28.7%21.3%0%7.1%0.3%11
61.3%43.5%27.5%21.3%0%7.5%0.3%12
Compiler

Compiled 1919 to 1343 computations (30% saved)

rewrite34.0s (2.3%)

Algorithm
167×batch-egg-rewrite
Rules
91871×log1p-expm1-u
72733×expm1-log1p-u
54570×expm1-udef
53802×log1p-udef
50724×log-prod
Stop Event
unsound
164×node limit
Counts
1481 → 44440
Results

series13.1s (0.9%)

Counts
1489 → 31329
Calls

8475 calls:

TimeVariablePointExpression
127.0ms
theta
@inf
(log.f64 (pow.f64 (exp.f64 (sin.f64 phi1)) (fma.f64 (cos.f64 delta) (sin.f64 phi1) (*.f64 (cos.f64 phi1) (*.f64 (sin.f64 delta) (cos.f64 theta))))))
123.0ms
angle
@0
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale x-scale)) (/.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (*.f64 (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64))) (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64))))) (*.f64 y-scale x-scale))) (*.f64 4 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (pow.f64 x-scale 2)) (/.f64 (+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2) (pow.f64 (*.f64 b (sin.f64 (*.f64 (/.f64 angle 180) (PI.f64)))) 2)) (pow.f64 y-scale 2)))))
114.0ms
phi1
@inf
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))) 1)
114.0ms
phi1
@-inf
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 delta) (*.f64 (cos.f64 phi1) (sin.f64 theta))))) 1)
106.0ms
lambda2
@-inf
(sin.f64 (-.f64 lambda1 lambda2))

bsearch12.2s (0.8%)

Algorithm
212×binary-search
45×left-value
Stop Event
203×narrow-enough
predicate-same
Results
4.6s19038×body256valid
3.7s4969×body512valid
733.0ms943×body2048valid
502.0ms379×body4096valid
470.0ms2011×body256invalid
406.0ms700×body1024valid
280.0ms506×body256infinite
174.0ms86×body512invalid
110.0ms124×body2048invalid
94.0ms146×body1024invalid
62.0ms137×body512infinite
Compiler

Compiled 66254 to 49058 computations (26% saved)

end24.0ms (0%)

Profiling

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