Metrics for From Warwick Tucker's Validated Numerics

analyze9.0ms (0.1%)

Memory

-53.9MiB live, 0.4MiB allocated

Algorithm

1×

random

Compiler

Compiled 46 to 33 computations (28.3% saved)

sample6.0s (83.2%)

Memory

9.0MiB live, 6 983.1MiB allocated

Samples

4.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.9s

ival-mult: 1.6s (41.9% of total)

ival-pow: 827.0ms (21.2% of total)

ival-add: 712.0ms (18.2% of total)

adjust: 359.0ms (9.2% of total)

ival-neg: 169.0ms (4.3% of total)

ival-div: 139.0ms (3.6% of total)

...in/eval/compile.rkt:110:19: 54.0ms (1.4% of total)

ival-true: 5.0ms (0.1% of total)

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

Bogosity

preprocess93.0ms (1.3%)

Memory

-4.7MiB live, 86.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	2

Stop Event

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))))

(+.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
(+.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))))
#s(literal -54767/66192 binary64)
(+.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))))
#s(literal -54767/66192 binary64)

explain960.0ms (13.3%)

Memory

13.9MiB live, 1 126.2MiB 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

496.0ms

512×

valid

Compiler

Compiled 618 to 128 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 342.0ms

ival-pow: 229.0ms (67% of total)

ival-mult: 50.0ms (14.6% of total)

ival-add: 26.0ms (7.6% of total)

adjust: 20.0ms (5.9% of total)

ival-div: 8.0ms (2.3% of total)

ival-neg: 5.0ms (1.5% of total)

...in/eval/compile.rkt:110:19: 4.0ms (1.2% of total)

ival-true: 1.0ms (0.3% of total)

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(literal -54767/66192 binary64)

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

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 -54767/66192 binary64)

Outputs
#s(literal -54767/66192 binary64)

localize30.0ms (0.4%)

Memory

-22.2MiB live, 17.1MiB allocated

Samples

27.0ms

256×

valid

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

...in/eval/compile.rkt:111:19: 3.0ms (83.5% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 0 computations (0% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

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 -54767/66192 binary64)

Compiler

Compiled 46 to 33 computations (28.3% saved)

simplify2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

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 -54767/66192 binary64)

Outputs
#s(literal -54767/66192 binary64)

soundness9.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	2

Stop Event

1×	done
1×	saturated

Compiler

Compiled 45 to 32 computations (28.9% saved)

preprocess102.0ms (1.4%)

Memory: -27.6MiB live, 51.4MiB allocated
Compiler: Compiled 90 to 64 computations (28.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.1%)

sample6.0s (83.2%)

preprocess93.0ms (1.3%)

explain960.0ms (13.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize30.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0%)

soundness9.0ms (0.1%)

preprocess102.0ms (1.4%)

end0.0ms (0%)

Profiling