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

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.8%	0.2%	0.0%	0.0%	0.0%	0
100.0%	99.8%	0.0%	0.2%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 9 computations (0.0% saved)

sample721.0ms (54.4%)

Memory

47.7MiB live, 1 278.4MiB allocated; 295ms collecting garbage

Samples

446.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult!: 123.0ms (87.0% of total)

ival-add!: 17.0ms (12.0% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

preprocess22.0ms (1.7%)

Memory

-20.0MiB live, 26.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	99	105
2	218	105
3	330	105
4	330	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (.f64 x y) (.f64 z t))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series14.0ms (1.1%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	190

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

Inputs
x
y
(*.f64 x y)
z
t
(*.f64 z t)
(+.f64 (.f64 x y) (.f64 z t))

Outputs
#s(approx x x)
#s(approx (* x y) (*.f64 x y))
#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) (* 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:

Time	Variable	Point
1.0ms	z	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	t	-inf

rewrite245.0ms (18.5%)

Memory

8.4MiB live, 106.2MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	35	17
2	102	17
3	237	17
4	404	17
5	731	17
6	3409	17
0	4547	16

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

7 → 39

Calls

Call 1

Inputs
x
y
(*.f64 x y)
z
t
(*.f64 z t)
(+.f64 (.f64 x y) (.f64 z t))

Outputs
x
y
(*.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))
z
t
(*.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))
(.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))

eval5.0ms (0.4%)

Memory: -38.8MiB live, 7.8MiB allocated; 2ms collecting garbage
Compiler: Compiled 691 to 154 computations (77.7% saved)

prune1.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	2	50

Accuracy

100.0%

Counts

50 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 z t (*.f64 y x))
▶	52.2%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 17 to 15 computations (11.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series8.0ms (0.6%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	190

Stop Event

1×	iter-limit

Counts

8 → 15

Calls

Call 1

Inputs
x
y
z
t
(*.f64 t z)
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.f64 y x)
(fma.f64 z t (*.f64 y x))

Outputs
#s(approx x x)
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 x y)))
#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:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	z	-inf
1.0ms	t	-inf
0.0ms	x	inf

rewrite238.0ms (17.9%)

Memory

0.2MiB live, 137.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	14	26
1	64	26
2	157	26
3	285	26
4	390	26
5	706	26
6	3384	26
0	4522	26

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

8 → 40

Calls

Call 1

Inputs
x
y
z
t
(*.f64 t z)
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.f64 y x)
(fma.f64 z t (*.f64 y x))

Outputs
x
y
z
t
(*.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))
#s(approx (+ (* x y) (* z t)) (*.f64 t z))
(*.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))
(.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 (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 #s(literal 1 binary64) (/.f64 (.f64 y x) (.f64 t z))) (.f64 t z))
(/.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 (.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 (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 (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 (.f64 (.f64 t z) (.f64 t z)) (.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)))))
(/.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)))))
(neg.f64 (neg.f64 (fma.f64 t z (*.f64 y x))))
(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 (neg.f64 y) (neg.f64 x) (*.f64 t z))
(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 y) x))
(-.f64 (.f64 y x) (.f64 (neg.f64 z) t))
(+.f64 (.f64 t z) (.f64 y x))
(+.f64 (.f64 y x) (.f64 t z))

eval4.0ms (0.3%)

Memory: 8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 717 to 156 computations (78.2% saved)

prune2.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	2	0	2
Done	-2	2	0
Total	50	2	52

Accuracy

100.0%

Counts

52 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(fma.f64 z t (*.f64 y x))
✓	52.2%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes26.0ms (2.0%)

Memory

6.6MiB live, 52.5MiB allocated; 5ms collecting garbage

Counts

1 → 1

3 → 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 z t (*.f64 y x))
(+.f64 (.f64 x y) (.f64 z t))

Outputs
(fma.f64 z t (*.f64 y x))

Calls

14 calls:

5.0ms	(*.f64 x y)
2.0ms	x
2.0ms	z
2.0ms	t
2.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`(*.f64 z t)`
52.2%	1	`(*.f64 x y)`
52.2%	1	`(+.f64 (.f64 x y) (.f64 z t))`
52.2%	1	`x`
52.2%	1	`y`
52.2%	1	`z`
52.2%	1	`t`
99.2%	1	`(*.f64 z t)`
99.2%	1	`(*.f64 x y)`
99.2%	1	`(+.f64 (.f64 x y) (.f64 z t))`
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`z`
99.2%	1	`t`

Compiler

Compiled 58 to 80 computations (-37.9% saved)

derivations21.0ms (1.6%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 11 computations (35.3% saved)

preprocess16.0ms (1.2%)

Memory: -16.6MiB live, 30.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 92 to 78 computations (15.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample721.0ms (54.4%)

preprocess22.0ms (1.7%)

sample0.0ms (0.0%)

series14.0ms (1.1%)

rewrite245.0ms (18.5%)

eval5.0ms (0.4%)

prune1.0ms (0.1%)

sample0.0ms (0.0%)

series8.0ms (0.6%)

rewrite238.0ms (17.9%)

eval4.0ms (0.3%)

prune2.0ms (0.2%)

regimes26.0ms (2.0%)

derivations21.0ms (1.6%)

preprocess16.0ms (1.2%)

end0.0ms (0.0%)

Profiling