Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 3.7s)

analyze26.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-add, time spent: 5.0ms, 41.0% of total-time
Operation ival-div, time spent: 4.0ms, 33.0% of total-time
Operation ival-mult, time spent: 3.0ms, 24.0% of total-time
Operation const, time spent: 1.0ms, 8.0% of total-time

sample2.1s (56.5%)

Results
1.6s7224×0valid
397.0ms1031×0infinite
0.0ms1×0infinite
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-add, time spent: 581.0ms, 51.0% of total-time
Operation ival-div, time spent: 393.0ms, 35.0% of total-time
Operation ival-mult, time spent: 131.0ms, 12.0% of total-time
Operation const, time spent: 26.0ms, 2.0% of total-time
Bogosity

preprocess593.0ms (16.1%)

Algorithm
1×egg-herbie
Rules
1758×div-sub
1344×fma-neg
1196×fma-def
588×times-frac
526×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x (+.f64 (/.f64 x y) 1))
00-0-(+.f64 x 1)
00-0-(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
00-0-y
00-0-(+.f64 (/.f64 x y) 1)
00-0-1
00-0-(/.f64 x y)
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032341
194312
2231298
3735298
42580282
55117282
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) y) 1)) (+.f64 (neg.f64 x) 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x (neg.f64 y)) 1)) (+.f64 x 1))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) y) 1)) (+.f64 (neg.f64 x) 1)))
(neg.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x (neg.f64 y)) 1)) (+.f64 x 1)))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x y) 1) (-.f64 (/.f64 1 x) -1))
(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (/.f64 1 x) 1))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 (fma.f64 x (/.f64 x y) x) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x y) 1) (-.f64 (/.f64 1 x) -1))
(/.f64 (+.f64 (/.f64 x y) 1) (+.f64 (/.f64 1 x) 1))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) y) 1)) (+.f64 (neg.f64 x) 1))
(/.f64 (*.f64 (neg.f64 x) (+.f64 1 (/.f64 (neg.f64 x) y))) (+.f64 1 (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 1 x)) (-.f64 1 (/.f64 x y)))
(/.f64 x (/.f64 (-.f64 1 x) (+.f64 (/.f64 x y) -1)))
(*.f64 (/.f64 x (-.f64 1 x)) (+.f64 (/.f64 x y) -1))
(/.f64 (+.f64 (/.f64 x y) -1) (-.f64 -1 (/.f64 -1 x)))
(/.f64 (+.f64 (/.f64 x y) -1) (+.f64 -1 (/.f64 1 x)))
(/.f64 (*.f64 x (+.f64 (/.f64 x (neg.f64 y)) 1)) (+.f64 x 1))
(/.f64 (*.f64 x (+.f64 1 (/.f64 x (neg.f64 y)))) (+.f64 x 1))
(/.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x) (+.f64 x 1))
(*.f64 (-.f64 1 (/.f64 x y)) (/.f64 x (+.f64 x 1)))
(/.f64 (-.f64 1 (/.f64 x y)) (-.f64 (/.f64 1 x) -1))
(/.f64 (+.f64 (/.f64 x y) -1) (+.f64 (/.f64 -1 x) -1))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) y) 1)) (+.f64 (neg.f64 x) 1)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 1 (/.f64 (neg.f64 x) y)))) (+.f64 1 (neg.f64 x)))
(/.f64 (*.f64 x (-.f64 1 (/.f64 x y))) (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) (-.f64 1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 x y)) (/.f64 x (-.f64 1 x)))
(/.f64 (-.f64 1 (/.f64 x y)) (-.f64 -1 (/.f64 -1 x)))
(/.f64 (+.f64 (/.f64 x y) -1) (+.f64 1 (/.f64 -1 x)))
(neg.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x (neg.f64 y)) 1)) (+.f64 x 1)))
(/.f64 (neg.f64 (*.f64 x (+.f64 1 (/.f64 x (neg.f64 y))))) (+.f64 x 1))
(/.f64 (neg.f64 (fma.f64 x (/.f64 x (neg.f64 y)) x)) (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 x 1)) (+.f64 (/.f64 x y) -1))
(*.f64 (+.f64 (/.f64 x y) -1) (/.f64 x (+.f64 x 1)))
(/.f64 (-.f64 1 (/.f64 x y)) (-.f64 (/.f64 -1 x) 1))
(/.f64 (-.f64 1 (/.f64 x y)) (+.f64 (/.f64 -1 x) -1))
(/.f64 (*.f64 y (+.f64 (/.f64 y x) 1)) (+.f64 y 1))
(/.f64 (*.f64 y (+.f64 1 (/.f64 y x))) (+.f64 y 1))
(/.f64 (fma.f64 y (/.f64 y x) y) (+.f64 y 1))
Compiler

Compiled 83 to 45 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 334.0ms
Operation ival-add, time spent: 220.0ms, 66.0% of total-time
Operation ival-div, time spent: 50.0ms, 15.0% of total-time
Operation ival-mult, time spent: 49.0ms, 15.0% of total-time
Operation const, time spent: 16.0ms, 5.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 45 to 27 computations (40% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (+.f64 (/.f64 x y) 1) (-.f64 (/.f64 1 x) -1))
▶88.0%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
▶99.9%
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

localize728.0ms (19.8%)

Compiler

Compiled 100 to 51 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 536.0ms
Operation ival-add, time spent: 327.0ms, 61.0% of total-time
Operation ival-div, time spent: 112.0ms, 21.0% of total-time
Operation ival-sub, time spent: 47.0ms, 9.0% of total-time
Operation const, time spent: 26.0ms, 5.0% of total-time
Operation ival-mult, time spent: 24.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked033
Done000
Total033
Accuracy
100.0%
Counts
3 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(/.f64 (+.f64 (/.f64 x y) 1) (-.f64 (/.f64 1 x) -1))
✓88.0%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
✓99.9%
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
Compiler

Compiled 74 to 50 computations (32.4% saved)

regimes12.0ms (0.3%)

Accuracy

Total -7.8b remaining (-14184.7%)

Threshold costs -7.8b (-14184.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
(/.f64 (+.f64 (/.f64 x y) 1) (-.f64 (/.f64 1 x) -1))
Outputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
Calls

3 calls:

5.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
12143
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
Outputs
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
(/.f64 x (/.f64 (+.f64 x 1) (+.f64 1 (/.f64 x y))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness165.0ms (4.5%)

Rules
1758×div-sub
1344×fma-neg
1196×fma-def
588×times-frac
526×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032341
194312
2231298
3735298
42580282
55117282
Stop Event
1×node limit
Compiler

Compiled 24 to 15 computations (37.5% saved)

end0.0ms (0%)

preprocess70.0ms (1.9%)

Compiler

Compiled 82 to 58 computations (29.3% saved)

Profiling

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