Linear.Quaternion:$c/ from linear-1.19.1.3, D

Time bar (total: 2.2s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)

sample1.6s (74.1%)

Results
715.0ms6008×0valid
625.0ms2248×1valid
Precisions
Click to see histograms. Total time spent on operations: 704.0ms
ival-sub: 295.0ms (41.9% of total)
ival-mult: 276.0ms (39.2% of total)
backward-pass: 64.0ms (9.1% of total)
ival-add: 60.0ms (8.5% of total)
const: 10.0ms (1.4% of total)
Bogosity

preprocess189.0ms (8.5%)

Algorithm
1×egg-herbie
Rules
574×sub-neg
557×unsub-neg
325×distribute-lft-out--
304×distribute-lft-neg-in
282×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048662
1183367
2641264
32518250
45638250
57348250
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z))))
(-.f64 (+.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x x)) (*.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y y)) (*.f64 y x))
(-.f64 (+.f64 (-.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z z)) (*.f64 z y))
Outputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (*.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (neg.f64 (*.f64 x y)) (*.f64 y z))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z))
(+.f64 (+.f64 (*.f64 y y) (*.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) #s(literal 0 binary64)) (*.f64 y z))
(*.f64 (neg.f64 y) (-.f64 x z))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y (neg.f64 z))))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 y z))
(*.f64 y (+.f64 z x))
(*.f64 y (+.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) z)))
(+.f64 (*.f64 y (-.f64 x y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (*.f64 x y) (*.f64 y z))
(*.f64 y (-.f64 x z))
(neg.f64 (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y (neg.f64 z))))
(+.f64 (*.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (*.f64 y y) (*.f64 y z)))
(-.f64 (neg.f64 (*.f64 x y)) (*.f64 y z))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(-.f64 (+.f64 (-.f64 (*.f64 y x) (*.f64 x x)) (*.f64 x x)) (*.f64 x z))
(+.f64 (*.f64 x (-.f64 y x)) (-.f64 (*.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 x z))
(*.f64 x (-.f64 (-.f64 y #s(literal 0 binary64)) z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (*.f64 z y) (*.f64 y y)) (*.f64 y y)) (*.f64 y x))
(+.f64 (+.f64 (*.f64 y y) (*.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) #s(literal 0 binary64)) (*.f64 y z))
(*.f64 (neg.f64 y) (-.f64 x z))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (*.f64 x z) (*.f64 z z)) (*.f64 z z)) (*.f64 z y))
(+.f64 (*.f64 z (-.f64 x z)) (-.f64 (*.f64 z z) (*.f64 y z)))
(-.f64 (*.f64 x z) (*.f64 y z))
(*.f64 z (-.f64 x y))
Symmetry

(negabs y)

explain188.0ms (8.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-0-(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
120-0-(-.f64 (*.f64 x y) (*.f64 y y))
30-0-(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
00-0-x
00-0-(*.f64 y z)
00-0-(*.f64 y y)
00-0-y
00-0-(*.f64 x y)
00-0-z
Results
98.0ms330×256valid
23.0ms72×1024valid
18.0ms58×2048valid
8.0ms52×512valid
Compiler

Compiled 116 to 29 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 25.0ms (61.5% of total)
ival-sub: 11.0ms (27% of total)
ival-add: 4.0ms (9.8% of total)
const: 1.0ms (2.5% of total)

eval0.0ms (0%)

Compiler

Compiled 28 to 13 computations (53.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 y (-.f64 x z))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize21.0ms (0.9%)

Results
16.0ms256×256valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 3.0ms (59.9% of total)
ival-mult: 2.0ms (39.9% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 y (-.f64 x z))
Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes7.0ms (0.3%)

Accuracy

Total -17.8b remaining (-∞%)

Threshold costs -17.8b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Outputs
(*.f64 y (-.f64 x z))
Calls

4 calls:

3.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Compiler

Compiled 30 to 18 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×sub-neg
2×*-commutative
2×+-commutative
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11522
22022
32222
42322
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 y (-.f64 x z))
Outputs
(*.f64 y (-.f64 x z))

soundness134.0ms (6%)

Rules
574×sub-neg
557×unsub-neg
325×distribute-lft-out--
304×distribute-lft-neg-in
282×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048662
1183367
2641264
32518250
45638250
57348250
Stop Event
1×done
1×node limit
Compiler

Compiled 77 to 26 computations (66.2% saved)

preprocess28.0ms (1.3%)

Remove

(negabs y)

Compiler

Compiled 100 to 58 computations (42% saved)

end0.0ms (0%)

Profiling

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