Metrics for From Warwick Tucker's Validated Numerics

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

random

Compiler

Compiled 46 to 33 computations (28.3% saved)

sample3.9s (88.2%)

Memory

77.0MiB live, 4 520.7MiB allocated

Samples

3.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-mult: 832.0ms (29.7% of total)

adjust: 740.0ms (26.5% of total)

ival-add: 509.0ms (18.2% of total)

ival-pow: 437.0ms (15.6% of total)

ival-div: 192.0ms (6.9% of total)

ival-neg: 41.0ms (1.5% of total)

exact: 39.0ms (1.4% of total)

ival-true: 5.0ms (0.2% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain503.0ms (11.5%)

Memory

13.5MiB live, 759.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))))
0	-	-	`(+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64))))`
0	-	-	`(.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64)))`
0	-	-	`#s(literal 8 binary64)`
0	-	-	`(.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)))`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))`
0	-	-	`(*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))`
0	-	-	`#s(literal 11/2 binary64)`
0	-	-	(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64))))
0	-	-	`#s(literal 77617 binary64)`
0	-	-	`#s(literal 33096 binary64)`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))`
0	-	-	`(*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))`
0	-	-	`(*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))`
0	-	-	`#s(literal 1335/4 binary64)`
0	-	-	`#s(literal -121 binary64)`
0	-	-	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))
0	-	-	`(/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64)))`
0	-	-	`(*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))`
0	-	-	`(*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))`
0	-	-	`#s(literal 6 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`(pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64))`
0	-	-	`(+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))))`
0	-	-	`(+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64))`
0	-	-	`(.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))`
0	-	-	`#s(literal 11 binary64)`
0	-	-	`(*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64))))	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

189.0ms

512×

valid

Compiler

Compiled 837 to 128 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

adjust: 52.0ms (35.6% of total)

ival-mult: 36.0ms (24.6% of total)

ival-pow: 25.0ms (17.1% of total)

ival-add: 20.0ms (13.7% of total)

ival-div: 8.0ms (5.5% of total)

exact: 2.0ms (1.4% of total)

ival-neg: 2.0ms (1.4% of total)

ival-true: 1.0ms (0.7% of total)

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

preprocess15.0ms (0.4%)

Memory

-14.1MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	31	1
0	72	1
0	72	1

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (.f64 (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 11 binary64) (.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))

Inputs

(+.f64 (+.f64 (+.f64 (*.f64 #s(literal 1335/4 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64)) (+.f64 (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 11 binary64) (*.f64 #s(literal 77617 binary64) #s(literal 77617 binary64))) (*.f64 #s(literal 33096 binary64) #s(literal 33096 binary64))) (neg.f64 (pow.f64 #s(literal 33096 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal -121 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 4 binary64)))) #s(literal -2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 #s(literal 33096 binary64) #s(literal 8 binary64)))) (/.f64 #s(literal 77617 binary64) (*.f64 #s(literal 2 binary64) #s(literal 33096 binary64))))

Outputs
#s(literal -54767/66192 binary64)

Compiler

Compiled 44 to 31 computations (29.5% saved)

eval0.0ms (0%)

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

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample3.9s (88.2%)

explain503.0ms (11.5%)

preprocess15.0ms (0.4%)

eval0.0ms (0%)

end0.0ms (0%)

Profiling