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

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample760.0ms (55.8%)

Memory
-4.4MiB live, 1 142.8MiB allocated; 394ms collecting garbage
Samples
422.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 178.0ms
ival-mult!: 160.0ms (89.9% of total)
ival-add!: 16.0ms (9% of total)
adjust: 2.0ms (1.1% of total)
Bogosity

preprocess20.0ms (1.5%)

Memory
-12.6MiB live, 33.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037109
199105
2218105
3330105
4330105
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 x y) (*.f64 z t))
Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

series14.0ms (1%)

Memory
37.9MiB live, 37.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057190
Stop Event
iter-limit
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)) (*.f64 t z))
#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 x y)))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx (+ (* x y) (* z t)) (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x))))))
#s(approx y y)
#s(approx (+ (* x y) (* z t)) (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y))))))
#s(approx z z)
#s(approx (+ (* x y) (* z t)) (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) t (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
#s(approx t t)
#s(approx (+ (* x y) (* z t)) (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t))))))
Calls

12 calls:

TimeVariablePoint
1.0ms
z
-inf
1.0ms
x
-inf
1.0ms
x
inf
1.0ms
y
-inf
1.0ms
t
-inf

rewrite224.0ms (16.5%)

Memory
5.6MiB live, 195.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
13517
210217
323717
440417
573117
6340717
0454516
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 39
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 z t))
(*.f64 x y)
x
y
(*.f64 z t)
z
t
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) y) (*.f64 t z))) (*.f64 t z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 t z))) (*.f64 t z))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) t) (*.f64 y x))) (*.f64 y x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 y x))) (*.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (+.f64 (*.f64 t z) (*.f64 (neg.f64 x) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (fma.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y) (*.f64 (*.f64 t z) (*.f64 (neg.f64 x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 t z) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t))) (+.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) t) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (fma.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t) (*.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 t z))) (-.f64 (*.f64 y x) (*.f64 t z)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 t z)))))
(neg.f64 (neg.f64 (fma.f64 t z (*.f64 y x))))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 t z))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 t z))
(fma.f64 (neg.f64 t) (neg.f64 z) (*.f64 y x))
(fma.f64 (neg.f64 z) (neg.f64 t) (*.f64 y x))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 t z))
(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 y x))
(+.f64 (*.f64 y x) (*.f64 t z))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
x
y
(*.f64 (neg.f64 t) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 t z)
(*.f64 z t)
(neg.f64 (*.f64 (neg.f64 z) t))
z
t

eval8.0ms (0.6%)

Memory
-27.1MiB live, 13.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 684 to 153 computations (77.6% saved)

prune2.0ms (0.2%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349
Accuracy
100.0%
Counts
49 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 z t (*.f64 y x))
100.0%
(fma.f64 y x (*.f64 t z))
53.0%
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Compiler

Compiled 23 to 21 computations (8.7% saved)

series9.0ms (0.6%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058190
Stop Event
iter-limit
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)) (*.f64 t z))
#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 x y)))
#s(approx x x)
#s(approx (* y x) (*.f64 x y))
#s(approx (+ (* x y) (* z t)) (*.f64 x (+.f64 y (/.f64 (*.f64 t z) x))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) y (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) x))))))
#s(approx y y)
#s(approx (+ (* x y) (* z t)) (*.f64 y (+.f64 x (/.f64 (*.f64 t z) y))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t z) y))))))
#s(approx z z)
#s(approx (+ (* x y) (* z t)) (*.f64 z (+.f64 t (/.f64 (*.f64 x y) z))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) t (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))))
#s(approx t t)
#s(approx (+ (* x y) (* z t)) (*.f64 t (+.f64 z (/.f64 (*.f64 x y) t))))
#s(approx (+ (* x y) (* z t)) (*.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal -1 binary64) z (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) t))))))
Calls

12 calls:

TimeVariablePoint
1.0ms
y
-inf
1.0ms
x
-inf
1.0ms
t
-inf
1.0ms
z
-inf
0.0ms
z
inf

rewrite240.0ms (17.6%)

Memory
-19.7MiB live, 117.8MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01632
18932
220232
334832
444032
575632
6343232
0457032
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 65
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)) (*.f64 t z))
(*.f64 (neg.f64 z) (neg.f64 t))
(*.f64 (neg.f64 t) (neg.f64 z))
(*.f64 t z)
(*.f64 z t)
(neg.f64 (*.f64 (neg.f64 z) t))
t
z
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) t) (*.f64 y x))) (*.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 t z))) (*.f64 t z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 t z))) (*.f64 t z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 y x))) (*.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t))) (+.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 (*.f64 t z) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) t) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (fma.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t) (*.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)))))
(/.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 t z) (*.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 t z) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 t z))) (-.f64 (*.f64 y x) (*.f64 t z)))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 t z)))))
(neg.f64 (neg.f64 (fma.f64 y x (*.f64 t z))))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 t z))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 t z))
(fma.f64 (neg.f64 z) (neg.f64 t) (*.f64 y x))
(fma.f64 (neg.f64 t) (neg.f64 z) (*.f64 y x))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 t z))
(fma.f64 x y (*.f64 t z))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) t))
(-.f64 (*.f64 t z) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 y x) (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 y x))
y
x
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) t) (*.f64 y x))) (*.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 t z))) (*.f64 t z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (*.f64 t z))) (*.f64 t z))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t z) (*.f64 y x))) (*.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t))) (+.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (+.f64 (*.f64 t z) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) t) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (fma.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t) (*.f64 (*.f64 y x) (*.f64 (neg.f64 z) t)))))
(/.f64 (-.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 t z) (*.f64 (neg.f64 y) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 y x))) (-.f64 (*.f64 t z) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 t z))) (-.f64 (*.f64 y x) (*.f64 t z)))
(/.f64 (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 t z) (*.f64 t z) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 t z) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 t z) (*.f64 t z)) (*.f64 (*.f64 y x) (*.f64 t z)))))
(neg.f64 (neg.f64 (fma.f64 y x (*.f64 t z))))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 t z))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 t z))
(fma.f64 (neg.f64 z) (neg.f64 t) (*.f64 y x))
(fma.f64 (neg.f64 t) (neg.f64 z) (*.f64 y x))
(fma.f64 t z (*.f64 y x))
(fma.f64 z t (*.f64 y x))
(fma.f64 y x (*.f64 t z))
(fma.f64 x y (*.f64 t z))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 z) t))
(-.f64 (*.f64 t z) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 y x) (*.f64 t z))
(+.f64 (*.f64 t z) (*.f64 y x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))

eval5.0ms (0.4%)

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

Compiled 756 to 162 computations (78.6% saved)

prune3.0ms (0.2%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh000
Picked033
Done000
Total55358
Accuracy
100.0%
Counts
58 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 z t (*.f64 y x))
100.0%
(fma.f64 y x (*.f64 t z))
53.0%
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes21.0ms (1.6%)

Memory
9.1MiB live, 55.5MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Outputs
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
Call 2
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

14 calls:

3.0ms
(+.f64 (*.f64 x y) (*.f64 z t))
2.0ms
t
2.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
53.0%1(*.f64 z t)
53.0%1(*.f64 x y)
53.0%1(+.f64 (*.f64 x y) (*.f64 z t))
53.0%1x
53.0%1y
53.0%1z
53.0%1t
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 64 to 81 computations (-26.6% saved)

derivations40.0ms (2.9%)

Memory
-33.5MiB live, 17.3MiB allocated; 23ms collecting garbage
Stop Event
done
Compiler

Compiled 17 to 10 computations (41.2% saved)

preprocess16.0ms (1.2%)

Memory
38.1MiB live, 38.1MiB allocated; 0ms collecting garbage
Remove

(sort z t)

(sort x y)

Compiler

Compiled 92 to 77 computations (16.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...