Metrics for Lanczos kernel

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze18.0ms (0.4%)

Memory

-1.9MiB live, 5.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
50%	0%	0%	100%	0%	0%	0%	2
50%	0%	0%	100%	0%	0%	0%	3
75%	0%	0%	100%	0%	0%	0%	4
75%	0%	0%	100%	0%	0%	0%	5
87.5%	0%	0%	100%	0%	0%	0%	6
87.5%	0%	0%	100%	0%	0%	0%	7
93.7%	0%	0%	100%	0%	0%	0%	8
93.7%	0%	0%	100%	0%	0%	0%	9
96.9%	0%	0%	100%	0%	0%	0%	10
96.9%	0%	0%	100%	0%	0%	0%	11
98.4%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 21 computations (43.2% saved)

sample35.0ms (0.7%)

Memory

-2.2MiB live, 12.7MiB allocated

Samples

26.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 4.0ms (19.3% of total)

ival-div: 3.0ms (14.5% of total)

ival-sin: 3.0ms (14.5% of total)

const: 3.0ms (14.5% of total)

ival-sinu: 3.0ms (14.5% of total)

ival-<=: 2.0ms (9.7% of total)

ival-pi: 1.0ms (4.8% of total)

ival-and: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

Bogosity

explain4.7s (97%)

Memory

-125.3MiB live, 2 624.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	1	(0.3007605969905853 3.2745440006256104)	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (.f32 x (PI.f32)) tau)`
0	-	0	-	`(*.f32 x (PI.f32))`
0	-	0	-	`(sin.f32 (*.f32 x (PI.f32)))`
0	-	0	-	`(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))`
0	-	0	-	`tau`
0	-	0	-	`(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sin.f32`	`(sin.f32 (.f32 (.f32 x (PI.f32)) tau))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	4
-	0	251

Precision

1.0

Recall

0.2

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	4
-	0	0	251

Precision?

1.0

Recall?

0.2

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

22.76025390625

Average Time

0.08890724182128906

Samples

1.9s

23 040×

valid

Compiler

Compiled 9 495 to 1 980 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 375.0ms (28.2% of total)

ival-sinu: 319.0ms (24% of total)

ival-sin: 277.0ms (20.8% of total)

ival-div: 252.0ms (18.9% of total)

ival-pi: 84.0ms (6.3% of total)

ival-true: 16.0ms (1.2% of total)

ival-assert: 8.0ms (0.6% of total)

preprocess67.0ms (1.4%)

Memory

0.3MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	123
1	88	123
2	415	107
3	2253	107
4	4724	107
5	6828	107
6	7824	107
0	10	21
0	18	21
1	31	21
2	88	21
3	296	21
4	699	21
5	1082	21
6	1115	21
7	1115	21
0	1115	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))

(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)))

Symmetry

(abs tau)

(abs x)

Compiler

Compiled 21 to 10 computations (52.4% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 42 to 20 computations (52.4% saved)

simplify20.0ms (0.4%)

Memory

-0.4MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	13	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Outputs

(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))

(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 21 to 10 computations (52.4% saved)

preprocess3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Remove

(abs x)

(abs tau)

Compiler

Compiled 252 to 120 computations (52.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze18.0ms (0.4%)

sample35.0ms (0.7%)

explain4.7s (97%)

preprocess67.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.4%)

soundness0.0ms (0%)

preprocess3.0ms (0.1%)

end0.0ms (0%)

Profiling