Linear.V2:$cdot from linear-1.19.1.3, A

Time bar (total: 2.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample2.3s (77.6%)

Memory
-144.2MiB live, 1 096.5MiB allocated; 2.2s collecting garbage
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult!: 1.8s (99% of total)
ival-add!: 16.0ms (0.9% of total)
adjust: 1.0ms (0.1% of total)
Bogosity

preprocess18.0ms (0.6%)

Memory
37.0MiB live, 37.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037109
1103105
2221105
3334105
4334105
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x y) (*.f64 z t))
Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

series11.0ms (0.4%)

Memory
-28.9MiB live, 17.8MiB allocated; 3ms collecting garbage
Counts
7 → 15
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
Outputs
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t z)))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (+ (* t z) (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* x (+ y (/ (* t z) x)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* y (+ x (/ (* t z) y)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* z (+ t (/ (* x y) z)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))))
#s(approx t #s(hole binary64 t))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t (+ z (/ (* x y) t)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
((+ (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms
x
@inf
((+ (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms
z
@-inf
((+ (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms
x
@-inf
((+ (* x y) (* z t)) (* x y) x y (* z t) z t)
1.0ms
y
@-inf
((+ (* x y) (* z t)) (* x y) x y (* z t) z t)

rewrite161.0ms (5.5%)

Memory
6.9MiB live, 193.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060222
062198
1358198
22894198
08477178
126648178
Stop Event
saturated
node-limit
iter-limit
Counts
22 → 45
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t z)))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (+ (* t z) (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* x (+ y (/ (* t z) x)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* y (+ x (/ (* t z) y)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* z (+ t (/ (* x y) z)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))))
#s(approx t #s(hole binary64 t))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t (+ z (/ (* x y) t)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))))
Outputs
(neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 t z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 z) t) (*.f64 y x)))
(fma.f64 t z (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 t z (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 z t (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 z)) t))
(fma.f64 y x (neg.f64 (*.f64 (neg.f64 z) t)))
(fma.f64 y x (*.f64 t z))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 z)) t))
(fma.f64 x y (neg.f64 (*.f64 (neg.f64 z) t)))
(fma.f64 x y (*.f64 t z))
(-.f64 (*.f64 t z) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) t))
(+.f64 (*.f64 t z) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 t z) (neg.f64 (*.f64 (neg.f64 x) y)))
(+.f64 (*.f64 t z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 z)) t))
(+.f64 (*.f64 y x) (neg.f64 (*.f64 (neg.f64 z) t)))
(+.f64 (*.f64 y x) (*.f64 t z))
(*.f64 y x)
(*.f64 x y)
x
y
(*.f64 t z)
(*.f64 z t)
z
t
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 y x)))
#s(approx (* x y) (*.f64 y x))
#s(approx x x)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx y y)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx z z)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))
#s(approx t t)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))

eval3.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 136 to 68 computations (50% saved)

prune2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New30333
Fresh000
Picked101
Done000
Total31334
Accuracy
100.0%
Counts
34 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 z t (*.f64 y x))
100.0%
(fma.f64 y x (*.f64 t z))
51.8%
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Compiler

Compiled 21 to 21 computations (0% saved)

series6.0ms (0.2%)

Memory
15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Counts
9 → 15
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.f64 t z)
t
z
(fma.f64 y x (*.f64 t z))
y
x
(fma.f64 z t (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t z)))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (+ (* t z) (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* x (+ y (/ (* t z) x)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* y (+ x (/ (* t z) y)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* z (+ t (/ (* x y) z)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))))
#s(approx t #s(hole binary64 t))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t (+ z (/ (* x y) t)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))))
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ (* x y) (* z t)) (* t z) t z (+ (* y x) (* t z)) y x (+ (* z t) (* y x)) (* y x))
1.0ms
x
@-inf
((+ (* x y) (* z t)) (* t z) t z (+ (* y x) (* t z)) y x (+ (* z t) (* y x)) (* y x))
1.0ms
t
@-inf
((+ (* x y) (* z t)) (* t z) t z (+ (* y x) (* t z)) y x (+ (* z t) (* y x)) (* y x))
1.0ms
z
@-inf
((+ (* x y) (* z t)) (* t z) t z (+ (* y x) (* t z)) y x (+ (* z t) (* y x)) (* y x))
0.0ms
x
@inf
((+ (* x y) (* z t)) (* t z) t z (+ (* y x) (* t z)) y x (+ (* z t) (* y x)) (* y x))

rewrite252.0ms (8.6%)

Memory
-45.6MiB live, 248.0MiB allocated; 136ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063238
067202
1401202
22965202
08547194
126733194
Stop Event
saturated
node-limit
iter-limit
Counts
24 → 80
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.f64 t z)
t
z
(fma.f64 y x (*.f64 t z))
y
x
(fma.f64 z t (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t z)))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (+ (* t z) (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* x (+ y (/ (* t z) x)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* -1 (/ (* t z) x)))))))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* y (+ x (/ (* t z) y)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (* -1 (/ (* t z) y)))))))
#s(approx z #s(hole binary64 z))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* z (+ t (/ (* x y) z)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* z (+ (* -1 t) (* -1 (/ (* x y) z)))))))
#s(approx t #s(hole binary64 t))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* t (+ z (/ (* x y) t)))))
#s(approx (+ (* x y) (* z t)) #s(hole binary64 (* -1 (* t (+ (* -1 z) (* -1 (/ (* x y) t)))))))
Outputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.f64 t z)
(*.f64 z t)
t
z
(neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 t z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 z) t) (*.f64 y x)))
(fma.f64 t z (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 t z (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 t z (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 z t (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z t (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 z)) t))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 t)) z))
(fma.f64 y x (neg.f64 (*.f64 (neg.f64 z) t)))
(fma.f64 y x (*.f64 t z))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 z)) t))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 t)) z))
(fma.f64 x y (neg.f64 (*.f64 (neg.f64 z) t)))
(fma.f64 x y (*.f64 t z))
(-.f64 (*.f64 t z) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) t))
(+.f64 (*.f64 t z) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 t z) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (*.f64 t z) (neg.f64 (*.f64 (neg.f64 x) y)))
(+.f64 (*.f64 t z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 z)) t))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 t)) z))
(+.f64 (*.f64 y x) (neg.f64 (*.f64 (neg.f64 z) t)))
(+.f64 (*.f64 y x) (*.f64 t z))
y
x
(neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 t z)))
(neg.f64 (-.f64 (*.f64 (neg.f64 z) t) (*.f64 y x)))
(fma.f64 t z (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 t z (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 t z (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 (neg.f64 (neg.f64 x)) y))
(fma.f64 z t (*.f64 (neg.f64 (neg.f64 y)) x))
(fma.f64 z t (neg.f64 (*.f64 (neg.f64 x) y)))
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 z)) t))
(fma.f64 y x (*.f64 (neg.f64 (neg.f64 t)) z))
(fma.f64 y x (neg.f64 (*.f64 (neg.f64 z) t)))
(fma.f64 y x (*.f64 t z))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 z)) t))
(fma.f64 x y (*.f64 (neg.f64 (neg.f64 t)) z))
(fma.f64 x y (neg.f64 (*.f64 (neg.f64 z) t)))
(fma.f64 x y (*.f64 t z))
(-.f64 (*.f64 t z) (*.f64 (neg.f64 x) y))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) t))
(+.f64 (*.f64 t z) (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 (*.f64 t z) (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 (*.f64 t z) (neg.f64 (*.f64 (neg.f64 x) y)))
(+.f64 (*.f64 t z) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 z)) t))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 (neg.f64 t)) z))
(+.f64 (*.f64 y x) (neg.f64 (*.f64 (neg.f64 z) t)))
(+.f64 (*.f64 y x) (*.f64 t z))
(*.f64 y x)
(*.f64 x y)
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 y x)))
#s(approx x x)
#s(approx (* y x) (*.f64 y x))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx y y)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 t z) #s(literal 1 binary64) (*.f64 y x)))
#s(approx z z)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))
#s(approx t t)
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))
#s(approx (+ (* x y) (* z t)) (fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 t z)))

eval4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 172 to 85 computations (50.6% saved)

prune3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New43043
Fresh000
Picked033
Done000
Total43346
Accuracy
100.0%
Counts
46 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 z t (*.f64 y x))
100.0%
(fma.f64 y x (*.f64 t z))
51.8%
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Compiler

Compiled 37 to 36 computations (2.7% saved)

regimes12.0ms (0.4%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(fma.f64 y x (*.f64 t z))
(fma.f64 z t (*.f64 y x))
(+.f64 (*.f64 x y) (*.f64 z t))
Outputs
(fma.f64 y x (*.f64 t z))
Calls

7 calls:

2.0ms
t
2.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(*.f64 z t)
Results
AccuracySegmentsBranch
100.0%1(*.f64 z t)
100.0%1(*.f64 x y)
100.0%1(+.f64 (*.f64 x y) (*.f64 z t))
100.0%1x
100.0%1y
100.0%1z
100.0%1t
Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes120.0ms (4.1%)

Memory
-34.9MiB live, 14.8MiB allocated; 6ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Outputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Calls

7 calls:

114.0ms
(*.f64 x y)
1.0ms
y
1.0ms
t
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
51.8%1(*.f64 z t)
51.8%1(*.f64 x y)
51.8%1(+.f64 (*.f64 x y) (*.f64 z t))
51.8%1x
51.8%1y
51.8%1z
51.8%1t
Compiler

Compiled 17 to 33 computations (-94.1% saved)

derivations50.0ms (1.7%)

Memory
-1.8MiB live, 44.2MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess16.0ms (0.6%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Remove

(sort z t)

(sort x y)

Compiler

Compiled 78 to 77 computations (1.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...