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

Time bar (total: 2.3s)

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)

sample1.7s (73.5%)

Results
777.0ms5751×0valid
259.0ms1636×1valid
263.0ms869×2valid
Precisions
Click to see histograms. Total time spent on operations: 735.0ms
ival-mult: 248.0ms (33.8% of total)
ival-add: 201.0ms (27.4% of total)
ival-sub: 138.0ms (18.8% of total)
backward-pass: 137.0ms (18.7% of total)
const: 11.0ms (1.5% of total)
Bogosity

preprocess279.0ms (12%)

Algorithm
1×egg-herbie
Rules
906×fma-neg
824×sub-neg
339×distribute-lft-out
329×distribute-lft-neg-in
286×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050761
1190324
2620250
32072250
45859250
57345250
67794250
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
(+.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
(+.f64 (-.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) (*.f64 y y)) (*.f64 y y))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) (*.f64 y y)) (*.f64 y y)))
(+.f64 (-.f64 (-.f64 (*.f64 y x) (*.f64 x z)) (*.f64 x x)) (*.f64 x x))
(+.f64 (-.f64 (-.f64 (*.f64 z y) (*.f64 y x)) (*.f64 y y)) (*.f64 y y))
(+.f64 (-.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (*.f64 z z)) (*.f64 z z))
Outputs
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 (*.f64 x y) (+.f64 (*.f64 y z) (*.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 (*.f64 x y) (+.f64 (*.f64 y z) (*.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(+.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y z)) (*.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) #s(literal 0 binary64))
(*.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) z)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (*.f64 y y) (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 y z)) (*.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) #s(literal 0 binary64))
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) (*.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) #s(literal 0 binary64))
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y)))
(+.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) (*.f64 y y)))
(+.f64 (*.f64 y (-.f64 x (neg.f64 z))) #s(literal 0 binary64))
(*.f64 y (+.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (*.f64 y y) (-.f64 (*.f64 x y) (+.f64 (*.f64 y z) (*.f64 y y))))
(+.f64 (*.f64 y (-.f64 x z)) #s(literal 0 binary64))
(*.f64 y (-.f64 x z))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y (neg.f64 z))) (*.f64 y y)) (*.f64 y y)))
(+.f64 (*.f64 y y) (-.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y z)) (*.f64 y y)))
(+.f64 (*.f64 (neg.f64 y) (+.f64 x z)) #s(literal 0 binary64))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 z) x))
(+.f64 (-.f64 (-.f64 (*.f64 y x) (*.f64 x z)) (*.f64 x x)) (*.f64 x x))
(+.f64 (*.f64 x x) (-.f64 (-.f64 (*.f64 x y) (*.f64 x z)) (*.f64 x x)))
(+.f64 (*.f64 x (-.f64 y z)) #s(literal 0 binary64))
(*.f64 x (-.f64 y z))
(+.f64 (-.f64 (-.f64 (*.f64 z y) (*.f64 y x)) (*.f64 y y)) (*.f64 y y))
(+.f64 (*.f64 y y) (-.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 y z)) (*.f64 y y)))
(+.f64 (*.f64 y (-.f64 z x)) #s(literal 0 binary64))
(*.f64 y (-.f64 z x))
(+.f64 (-.f64 (-.f64 (*.f64 x z) (*.f64 z y)) (*.f64 z z)) (*.f64 z z))
(+.f64 (*.f64 z z) (-.f64 (*.f64 x z) (+.f64 (*.f64 y z) (*.f64 z z))))
(+.f64 (*.f64 z (-.f64 x y)) #s(literal 0 binary64))
(*.f64 z (-.f64 x y))
Symmetry

(negabs y)

explain110.0ms (4.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
860-0-(+.f64 (-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y)) (*.f64 y y))
210-0-(-.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
30-0-(-.f64 (*.f64 x y) (*.f64 y z))
00-0-x
00-0-(*.f64 y y)
00-0-(*.f64 y z)
00-0-y
00-0-(*.f64 x y)
00-0-z
Results
34.0ms394×256valid
14.0ms56×1024valid
7.0ms42×512valid
8.0ms20×2048valid
Compiler

Compiled 116 to 29 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 15.0ms (56.4% of total)
ival-sub: 7.0ms (26.3% of total)
ival-add: 4.0ms (15% of total)
const: 1.0ms (3.8% of total)

eval0.0ms (0%)

Compiler

Compiled 30 to 13 computations (56.7% 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)

localize18.0ms (0.8%)

Results
13.0ms256×256valid
Compiler

Compiled 15 to 6 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (53.5% of total)
ival-mult: 2.0ms (53.5% of total)
const: 0.0ms (0% of total)

eval1.0ms (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)

regimes5.0ms (0.2%)

Accuracy

Total -22.6b remaining (-∞%)

Threshold costs -22.6b (-∞%)

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

4 calls:

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

soundness167.0ms (7.2%)

Rules
906×fma-neg
824×sub-neg
339×distribute-lft-out
329×distribute-lft-neg-in
286×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050761
1190324
2620250
32072250
45859250
57345250
67794250
Stop Event
1×done
1×node limit
Compiler

Compiled 69 to 22 computations (68.1% saved)

preprocess31.0ms (1.3%)

Remove

(negabs y)

Compiler

Compiled 100 to 58 computations (42% saved)

end0.0ms (0%)

Profiling

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