Metrics for sqrt(0.9)

analyze0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Algorithm

1×

random

Compiler

Compiled 4 to 4 computations (0% saved)

sample235.0ms (56.9%)

Memory

7.2MiB live, 113.3MiB allocated

Samples

152.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-sqrt: 70.0ms (86.9% of total)

exact: 4.0ms (5% of total)

ival-true: 4.0ms (5% of total)

ival-assert: 3.0ms (3.7% of total)

Bogosity

preprocess12.0ms (2.8%)

Memory

-3.0MiB live, 4.4MiB allocated

Algorithm

2×	egg-herbie

Rules

2×	`sqrt-lowering-sqrt.f64`
2×	`sqrt-lowering-sqrt.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
0	2	2
0	2	2

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt 8106479329266893/9007199254740992)

Outputs
(sqrt 8106479329266893/9007199254740992)
(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

Call 2

Inputs
(sqrt 8106479329266893/9007199254740992)

Outputs
(sqrt 8106479329266893/9007199254740992)

explain27.0ms (6.6%)

Memory

4.8MiB live, 12.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
0	0	-	0	-	`#s(literal 8106479329266893/9007199254740992 binary64)`
0	0	-	0	-	`(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

12.0ms

512×

valid

Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 4.0ms (75% of total)

exact: 0.0ms (0% of total)

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

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

eval1.0ms (0.1%)

Memory: -7.6MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 0 computations (0% saved)

prune0.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

Compiler

Compiled 2 to 2 computations (0% saved)

simplify4.0ms (0.9%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

Rules

2×	`sqrt-lowering-sqrt.f64`
2×	`sqrt-lowering-sqrt.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	3
0	2	3

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt 8106479329266893/9007199254740992)
8106479329266893/9007199254740992

Outputs
(sqrt 8106479329266893/9007199254740992)
(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))
8106479329266893/9007199254740992
#s(literal 8106479329266893/9007199254740992 binary64)

localize9.0ms (2.2%)

Memory

4.2MiB live, 4.2MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

Samples

5.0ms

256×

valid

Compiler

Compiled 5 to 4 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 2.0ms (80.6% of total)

exact: 0.0ms (0% of total)

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (sqrt 8106479329266893/9007199254740992)>

Outputs

rewrite90.0ms (21.8%)

Memory

-6.7MiB live, 15.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

348×	`-lowering-.f32`
348×	`-lowering-.f64`
314×	`accelerator-lowering-fma.f32`
314×	`accelerator-lowering-fma.f64`
144×	`prod-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
1	4	2
2	12	2
3	27	2
4	65	2
5	165	2
0	768	2

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

1 → 35

Calls

Call 1

Inputs
(sqrt 8106479329266893/9007199254740992)

Outputs
(exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4318462160233773563205378568394817385072897025376076593763155601/6582018229284824168619876730229402019930943462534319453394436096 binary64)) #s(literal 1/8 binary64)))
(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))
(pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 65715007115831415416180825873449/81129638414606681695789005144064 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 8106479329266893/9007199254740992 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 4318462160233773563205378568394817385072897025376076593763155601/6582018229284824168619876730229402019930943462534319453394436096 binary64) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 65715007115831415416180825873449/81129638414606681695789005144064 binary64)))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 #s(literal 8106479329266893/9007199254740992 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 8106479329266893/9007199254740992 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 3/8 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/8 binary64)))
(.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/32 binary64)) (.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 7/16 binary64))))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 3/16 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 5/16 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 5/16 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 3/16 binary64)))
(*.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/16 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/32 binary64))) (pow.f64 #s(literal 8106479329266893/9007199254740992 binary64) #s(literal 1/32 binary64)))

simplify4.0ms (0.9%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval4.0ms (1%)

Memory: -4.9MiB live, 2.9MiB allocated
Compiler: Compiled 253 to 83 computations (67.2% saved)

prune3.0ms (0.6%)

Memory

1.9MiB live, 1.9MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	1	36

Accuracy

100.0%

Counts

36 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify7.0ms (1.7%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

Outputs
(sqrt.f64 #s(literal 8106479329266893/9007199254740992 binary64))

soundness0.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess18.0ms (4.3%)

Memory: -3.7MiB live, 20.0MiB allocated
Compiler: Compiled 8 to 8 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample235.0ms (56.9%)

preprocess12.0ms (2.8%)

explain27.0ms (6.6%)

eval1.0ms (0.1%)

prune0.0ms (0.1%)

simplify4.0ms (0.9%)

localize9.0ms (2.2%)

series0.0ms (0%)

rewrite90.0ms (21.8%)

simplify4.0ms (0.9%)

eval4.0ms (1%)

prune3.0ms (0.6%)

simplify7.0ms (1.7%)

soundness0.0ms (0.1%)

preprocess18.0ms (4.3%)

end0.0ms (0%)

Profiling