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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample860.0ms (47.3%)

Memory

1.8MiB live, 659.3MiB allocated; 232ms collecting garbage

Samples

583.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 230.0ms

ival-mult!: 134.0ms (58.2% of total)

ival-add!: 94.0ms (40.8% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

preprocess36.0ms (2%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	113
1	215	105
2	1219	105

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x y) (.f64 z t))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

series158.0ms (8.7%)

Memory

-34.2MiB live, 107.6MiB allocated; 30ms 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)) (*.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:

Time	Variable	Point
11.0ms	y	-inf
1.0ms	z	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	t	-inf

rewrite364.0ms (20%)

Memory

-9.4MiB live, 153.0MiB allocated; 278ms 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
(.f64 (fma.f64 y x (.f64 z t)) (/.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))))
(.f64 (/.f64 (.f64 (fma.f64 y x (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 t t) t)))) (fma.f64 (.f64 z t) (fma.f64 y x (.f64 z t)) (.f64 (.f64 x x) (.f64 y y))))
(.f64 (/.f64 (.f64 (fma.f64 y x (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t))) (.f64 (fma.f64 y x (.f64 z t)) (-.f64 (.f64 x y) (.f64 z t)))) (fma.f64 y x (.f64 z t)))
(.f64 (fma.f64 (-.f64 (.f64 z t) (.f64 x y)) (.f64 z t) (.f64 (.f64 x x) (.f64 y y))) (/.f64 (fma.f64 y x (.f64 z t)) (fma.f64 (-.f64 (.f64 z t) (.f64 x y)) (.f64 z t) (.f64 (.f64 x x) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 x y) (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 t t) t))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (.f64 x x) (.f64 y y))) (pow.f64 (.f64 (-.f64 (.f64 z t) (.f64 x y)) (.f64 z t)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 x x) (.f64 y y)) (.f64 (-.f64 (.f64 z t) (.f64 x y)) (.f64 z t))))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 z t)
(*.f64 t z)
(neg.f64 (neg.f64 (*.f64 z t)))
z
(neg.f64 (neg.f64 z))
t

eval2.0ms (0.1%)

Memory: 7.4MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 490 to 109 computations (77.8% saved)

prune1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Accuracy

100.0%

Counts

25 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 x y)))
▶	56.5%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 25 to 19 computations (24% saved)

series138.0ms (7.6%)

Memory

3.7MiB live, 95.1MiB allocated; 23ms collecting garbage

Counts

9 → 15

Calls

Call 1

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

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:

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

rewrite215.0ms (11.8%)

Memory

-0.6MiB live, 184.1MiB allocated; 51ms collecting garbage

Counts

9 → 19

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 575 to 123 computations (78.6% saved)

prune2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	27	2	29

Accuracy

100.0%

Counts

29 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ (* x y) (* z t)) (fma.f64 t z (*.f64 x y)))
✓	56.5%	#s(approx (+ (* x y) (* z t)) (*.f64 t z))

Compiler

Compiled 25 to 19 computations (24% saved)

regimes22.0ms (1.2%)

Memory

-17.7MiB live, 37.3MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

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

Calls

14 calls:

5.0ms	y
1.0ms	t
1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
56.5%	1	`(*.f64 z t)`
56.5%	1	`(*.f64 x y)`
56.5%	1	`(+.f64 (.f64 x y) (.f64 z t))`
56.5%	1	`x`
56.5%	1	`y`
56.5%	1	`z`
56.5%	1	`t`
100.0%	1	`(*.f64 z t)`
100.0%	1	`(*.f64 x y)`
100.0%	1	`(+.f64 (.f64 x y) (.f64 z t))`
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`

Compiler

Compiled 66 to 80 computations (-21.2% saved)

derivations0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 25 to 12 computations (52% saved)

preprocess18.0ms (1%)

Memory

-7.7MiB live, 37.3MiB allocated; 5ms collecting garbage

Remove

(sort z t)

(sort x y)

Compiler

Compiled 132 to 95 computations (28% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample860.0ms (47.3%)

preprocess36.0ms (2%)

series158.0ms (8.7%)

rewrite364.0ms (20%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

series138.0ms (7.6%)

rewrite215.0ms (11.8%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

regimes22.0ms (1.2%)

derivations0.0ms (0%)

preprocess18.0ms (1%)

end0.0ms (0%)

Profiling