Herbie run

Date:Thursday, August 15th, 2024
Commit:78402a57 on zane-server-ci
Hostname:nightly with Racket 8.11.1
Seed:2024228
Parameters:256 points for 4 iterations
Flags:
localize:costslocalize:errorsreduce: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: 1.3min)

simplify14.3s (17.7%)

Memory
106.7MiB live, 14 946.7MiB allocated
Algorithm
75×egg-herbie
Rules
430 738×lower-fma.f32
430 668×lower-fma.f64
194 458×lower-*.f32
194 194×lower-*.f64
94 678×lower-+.f32
Stop Event
97×iter limit
43×node limit
34×saturated
Counts
9 960 → 9 786

prune13.5s (16.7%)

Memory
-155.2MiB live, 18 301.5MiB allocated
Counts
40 005 → 410
Compiler

Compiled 20 520 to 9 931 computations (51.6% saved)

sample11.7s (14.5%)

Memory
347.2MiB live, 12 674.3MiB allocated
Samples
6.8s70 132×0valid
933.0ms4 162×2valid
256.0ms1 840×0invalid
1.0ms10×1valid
Precisions
Click to see histograms. Total time spent on operations: 6.0s
ival-mult: 2.2s (36.3% of total)
ival-sub: 960.0ms (16.1% of total)
ival-div: 910.0ms (15.2% of total)
ival-sqrt: 419.0ms (7% of total)
ival->=: 360.0ms (6% of total)
ival-add: 236.0ms (4% of total)
ival-neg: 221.0ms (3.7% of total)
ival-fabs: 147.0ms (2.5% of total)
ival-log: 117.0ms (2% of total)
adjust: 112.0ms (1.9% of total)
ival-exp: 104.0ms (1.7% of total)
ival-if: 78.0ms (1.3% of total)
exact: 56.0ms (0.9% of total)
ival-true: 52.0ms (0.9% of total)
ival-assert: 29.0ms (0.5% of total)
Bogosity

rewrite11.1s (13.7%)

Memory
177.7MiB live, 12 726.3MiB allocated
Rules
137 748×lower-fma.f32
137 678×lower-fma.f64
126 398×lower-/.f32
126 160×lower-/.f64
125 560×lower-*.f32
Stop Event
70×iter limit
31×node limit
unsound
saturated
Counts
411 → 21 577

soundness9.7s (12%)

Memory
48.8MiB live, 4 758.5MiB allocated
Rules
295 710×lower-fma.f32
295 666×lower-fma.f64
179 092×lower-*.f32
178 900×lower-*.f64
99 506×lower-/.f32
Stop Event
58×iter limit
37×node limit
fuel
done
saturated
Compiler

Compiled 6 809 to 3 016 computations (55.7% saved)

eval9.2s (11.3%)

Memory
1.8MiB live, 10 512.0MiB allocated
Compiler

Compiled 1 516 996 to 88 430 computations (94.2% saved)

localize4.7s (5.8%)

Memory
25.5MiB live, 5 965.9MiB allocated
Samples
1.5s6 880×0valid
719.0ms805×2valid
459.0ms601×1valid
176.0ms160×3valid
1.0ms5exit
Compiler

Compiled 7 909 to 824 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 390.0ms (20.4% of total)
ival-div: 389.0ms (20.3% of total)
ival-add: 252.0ms (13.2% of total)
ival-sub: 234.0ms (12.2% of total)
adjust: 176.0ms (9.2% of total)
ival-sqrt: 114.0ms (6% of total)
ival-neg: 104.0ms (5.4% of total)
ival-log: 87.0ms (4.5% of total)
ival-if: 64.0ms (3.3% of total)
ival-exp: 27.0ms (1.4% of total)
ival-fabs: 19.0ms (1% of total)
ival-e: 14.0ms (0.7% of total)
ival-pow: 12.0ms (0.6% of total)
exact: 12.0ms (0.6% of total)
ival->=: 8.0ms (0.4% of total)
ival-true: 7.0ms (0.4% of total)
const: 4.0ms (0.2% of total)
ival-assert: 4.0ms (0.2% of total)

preprocess1.7s (2.1%)

Memory
57.0MiB live, 1 670.0MiB allocated
Algorithm
egg-herbie
Rules
11 858×lower-fma.f32
11 858×lower-fma.f64
5 976×div-sub
5 512×lower-*.f32
5 482×lower-*.f64
Stop Event
18×iter limit
13×saturated
node limit
Compiler

Compiled 5 102 to 1 210 computations (76.3% saved)

explain1.5s (1.8%)

Memory
-53.3MiB live, 2 275.4MiB allocated
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64#foflow-rescue2540
+.f64#fcancellation1170
-.f64#fcancellation1140
sqrt.f64#fuflow-rescue620
/.f64#fu/n290
/.f64#fn/u210
-.f64#fnan-rescue150
*.f64(*.f64 (/.f64 x y) z)n*o60
*.f64(*.f64 (/.f64 x y) z)n*u60
exp.f64(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))sensitivity10
log.f64(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))oflow-rescue10
(/.f64 #s(literal 1 binary64) x)overflow1
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))overflow1
Confusion
Predicted +Predicted -
+27813
-2341779
Precision
0.54296875
Recall
0.9553264604810997
Confusion?
Predicted +Predicted MaybePredicted -
+278013
-23401779
Precision?
0.54296875
Recall?
0.9553264604810997
Freqs
test
numberfreq
01792
1402
2106
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+600
-003
Precision?
1.0
Recall?
1.0
Samples
276.0ms3 696×0valid
179.0ms534×2valid
71.0ms306×1valid
29.0ms72×3valid
Compiler

Compiled 1 124 to 300 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-div: 74.0ms (23.3% of total)
ival-mult: 59.0ms (18.6% of total)
ival-sub: 54.0ms (17% of total)
adjust: 35.0ms (11% of total)
ival-sqrt: 31.0ms (9.8% of total)
ival-add: 15.0ms (4.7% of total)
ival-neg: 12.0ms (3.8% of total)
ival-if: 9.0ms (2.8% of total)
ival-log: 7.0ms (2.2% of total)
ival-exp: 5.0ms (1.6% of total)
ival-fabs: 5.0ms (1.6% of total)
ival-true: 4.0ms (1.3% of total)
ival->=: 3.0ms (0.9% of total)
exact: 3.0ms (0.9% of total)
ival-assert: 2.0ms (0.6% of total)

regimes1.4s (1.7%)

Memory
-50.0MiB live, 1 789.9MiB allocated
Counts
1 044 → 124
Calls

26 calls:

177.0ms
b
174.0ms
x
125.0ms
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
94.0ms
(*.f64 x x)
86.0ms
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 1 526 to 968 computations (36.6% saved)

series968.0ms (1.2%)

Memory
61.2MiB live, 1 428.3MiB allocated
Counts
411 → 9 960
Calls

1125 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log x)
25.0ms
x
@-inf
(log x)
20.0ms
x
@inf
(* 1/2 (/ (* x (* x x)) (E)))
18.0ms
b
@inf
(/ (* a 2) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
14.0ms
c
@inf
(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))

analyze580.0ms (0.7%)

Memory
54.0MiB live, 677.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
22.2%22.2%77.7%0.1%0%0%0%1
29.4%27.8%66.6%0.1%0%5.6%0%2
50%44.4%44.4%0.1%0%11.1%0%3
59.7%51.3%34.7%0.1%0%13.9%0%4
67.2%56.9%27.7%0.1%0%15.3%0%5
74.4%62.4%21.5%0.1%0%16%0%6
78.9%64.9%17.3%0.1%0%17.7%0%7
80.8%66.3%15.8%0.1%0%17.9%0%8
85.9%69.9%11.5%0.1%0%18.5%0%9
88%70.7%9.7%0.1%0%19.6%0%10
90%72.1%8%0.1%0%19.8%0%11
92.3%73.5%6.2%0.1%0%20.3%0%12
Compiler

Compiled 153 to 106 computations (30.7% saved)

bsearch562.0ms (0.7%)

Memory
-19.2MiB live, 523.0MiB allocated
Algorithm
49×binary-search
left-value
Stop Event
42×narrow-enough
predicate-same
Samples
256.0ms2 512×0valid
27.0ms280×0invalid
13.0ms96×2valid
Compiler

Compiled 20 495 to 12 675 computations (38.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-fabs: 50.0ms (22.6% of total)
ival-mult: 48.0ms (21.7% of total)
ival-div: 39.0ms (17.6% of total)
ival-if: 24.0ms (10.8% of total)
ival-sub: 19.0ms (8.6% of total)
ival-add: 12.0ms (5.4% of total)
ival-sqrt: 11.0ms (5% of total)
ival-neg: 6.0ms (2.7% of total)
ival->=: 4.0ms (1.8% of total)
exact: 3.0ms (1.4% of total)
adjust: 2.0ms (0.9% of total)
ival-true: 2.0ms (0.9% of total)
ival-assert: 1.0ms (0.5% of total)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

end0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

Profiling

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