Metrics for simple fma test

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample2.0s (68.3%)

Samples

640.0ms	3 107×	2	valid
540.0ms	2 876×	1	valid
303.0ms	2 172×	0	valid
23.0ms	101×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 931.0ms

ival-fma: 409.0ms (43.9% of total)

ival-add: 157.0ms (16.9% of total)

adjust: 150.0ms (16.1% of total)

ival-mult: 110.0ms (11.8% of total)

ival-sub: 89.0ms (9.6% of total)

ival-true: 6.0ms (0.6% of total)

...in/eval/compile.rkt:70:19: 5.0ms (0.5% of total)

ival-assert: 5.0ms (0.5% of total)

Bogosity

preprocess272.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

911×	`fmm-def`
788×	`unsub-neg`
476×	`sub-neg`
379×	`fma-define`
287×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	553
1	137	541
2	378	11
3	1556	11
4	3637	11
5	5091	11
6	6021	11
7	7055	11
8	7693	11
9	7777	11
10	7777	11
11	7885	11
12	7972	11
13	7993	11

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(-.f64 (fma.f64 (neg.f64 x) y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 x) y) z)))
(-.f64 (fma.f64 x (neg.f64 y) z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (neg.f64 y)) z)))
(-.f64 (fma.f64 x y (neg.f64 z)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (neg.f64 z))))
(neg.f64 (-.f64 (fma.f64 (neg.f64 x) y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 x) y) z))))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (neg.f64 y)) z))))
(neg.f64 (-.f64 (fma.f64 x y (neg.f64 z)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (neg.f64 z)))))
(-.f64 (fma.f64 y x z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y x) z)))
(-.f64 (fma.f64 z y x) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 z y) x)))
(-.f64 (fma.f64 x z y) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x z) y)))

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

Symmetry

(abs x)

(abs y)

(abs z)

(sort x y z)

explain256.0ms (8.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
222	2	(9.092195809630027e-281 2.035312561711017e-44 2674906907522.022)	-	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`
0	0	-	-	`(+.f64 (*.f64 x y) z)`
0	0	-	-	`(fma.f64 x y z)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))`
0	0	-	-	`z`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`y`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`	cancellation	214	0
`-.f64`	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`	nan-rescue	10	0
↳	`(fma.f64 x y z)`	overflow	10
↳	`(+.f64 (*.f64 x y) z)`	overflow	10
↳	`(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z))`	overflow	10
↳	`(*.f64 x y)`	overflow	10

Confusion

	Predicted +	Predicted -
+	222	0
-	2	32

Precision

0.9910714285714286

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	222	0	0
-	2	0	32

Precision?

0.9910714285714286

Recall?

1.0

Freqs

test

number	freq
0	32
1	224

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

74.0ms	270×	2	valid
64.0ms	66×	0	valid
32.0ms	176×	1	valid

Compiler

Compiled 104 to 40 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

adjust: 21.0ms (36.1% of total)

ival-fma: 13.0ms (22.3% of total)

ival-add: 11.0ms (18.9% of total)

ival-mult: 6.0ms (10.3% of total)

ival-sub: 6.0ms (10.3% of total)

ival-assert: 0.0ms (0% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal -1 binary64)

Compiler

Compiled 4 to 4 computations (0% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

localize11.0ms (0.4%)

Samples

8.0ms

256×

valid

Compiler

Compiled 3 to 6 computations (-100% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-true: 0.0ms (0% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(literal -1 binary64)

Compiler

Compiled 20 to 14 computations (30% saved)

regimes10.0ms (0.3%)

Accuracy

Total -53.8b remaining (-∞%)

Threshold costs -53.8b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Outputs
#s(literal -1 binary64)

Calls

4 calls:

5.0ms	x
1.0ms	y
1.0ms	z
1.0ms	(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (fma.f64 x y z) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

soundness340.0ms (11.5%)

Rules

911×	`fmm-def`
788×	`unsub-neg`
476×	`sub-neg`
379×	`fma-define`
287×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	553
1	137	541
2	378	11
3	1556	11
4	3637	11
5	5091	11
6	6021	11
7	7055	11
8	7693	11
9	7777	11
10	7777	11
11	7885	11
12	7972	11
13	7993	11

Stop Event

1×	done
1×	node limit

Compiler

Compiled 62 to 21 computations (66.1% saved)

preprocess40.0ms (1.4%)

Remove

(sort x y z)

(abs z)

(abs y)

(abs x)

Compiler

Compiled 110 to 98 computations (10.9% saved)

simple fma test

analyze1.0ms (0%)

sample2.0s (68.3%)

preprocess272.0ms (9.2%)

explain256.0ms (8.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize11.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes10.0ms (0.3%)

simplify1.0ms (0%)

soundness340.0ms (11.5%)

preprocess40.0ms (1.4%)

end0.0ms (0%)

Profiling