Metrics for Rump's expression from Stadtherr's award speech

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample15.0ms (0.5%)

Memory

5.8MiB live, 5.8MiB allocated

Samples

10.0ms

260×

valid

Precisions

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

const: 3.0ms (58% of total)

ival-==: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

Bogosity

explain2.8s (93%)

Memory

9.8MiB live, 2 316.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
256	0	-	-	`(+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64))))`
0	0	-	-	`(+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) y)`
0	0	-	-	`#s(literal 8 binary64)`
0	0	-	-	`#s(literal 11/2 binary64)`
0	0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	0	-	-	`(.f64 (.f64 (*.f64 #s(literal 11 binary64) x) x) y)`
0	0	-	-	`(.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y)`
0	0	-	-	`y`
0	0	-	-	`(.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))`
0	0	-	-	`(pow.f64 y #s(literal 8 binary64))`
0	0	-	-	`#s(literal 121 binary64)`
0	0	-	-	`(*.f64 #s(literal 11 binary64) x)`
0	0	-	-	`#s(literal 1335/4 binary64)`
0	0	-	-	`(*.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64)))`
0	0	-	-	`(-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 #s(literal 11 binary64) x) x)`
0	0	-	-	`(*.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`#s(literal 6 binary64)`
0	0	-	-	`(-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64)))`
0	0	-	-	`(/.f64 x (*.f64 #s(literal 2 binary64) y))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))`
0	1	(77617.0 33096.0)	-	`(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))`
0	0	-	-	`(-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64))))`
0	0	-	-	`x`
0	0	-	-	`(pow.f64 y #s(literal 6 binary64))`
0	0	-	-	`#s(literal 11 binary64)`

Explanations

Click to see full explanations table

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

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
2	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

19.122314453125

Average Time

0.07469654083251953

Samples

827.0ms

3 072×

valid

Compiler

Compiled 9 828 to 1 464 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-mult: 187.0ms (32.6% of total)

adjust: 159.0ms (27.7% of total)

ival-add: 72.0ms (12.6% of total)

ival-pow: 69.0ms (12% of total)

ival-div: 39.0ms (6.8% of total)

ival-sub: 34.0ms (5.9% of total)

exact: 8.0ms (1.4% of total)

ival-true: 2.0ms (0.3% of total)

ival-assert: 1.0ms (0.2% of total)

preprocess161.0ms (5.4%)

Memory

10.9MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	30	43
0	50	43
1	90	43
2	195	43
3	469	43
4	1445	43
5	3010	43
6	4924	43
7	6931	43
0	8196	38

Stop Event

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

Calls

Call 1

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

Inputs

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))
(fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) y) y (fma.f64 (.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (/.f64 x (.f64 #s(literal 2 binary64) y))))))

Outputs

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

(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 11 binary64)) y) y (fma.f64 (*.f64 (-.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64) (pow.f64 y #s(literal 6 binary64)))) x) x (fma.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))))

Symmetry

(abs y)

(abs x)

(sort x y)

Compiler

Compiled 43 to 30 computations (30.2% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Memory

-10.9MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.4%	(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))

Status

Accuracy

Program

1.4%

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

Compiler

Compiled 86 to 60 computations (30.2% saved)

simplify20.0ms (0.7%)

Memory

2.5MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	43
1	51	43
2	69	43
3	79	43
4	85	43
5	86	43

Stop Event

1×

saturated

Calls

Call 1

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

Inputs

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 #s(literal 1335/4 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 (.f64 x x) (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal 121 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 11/2 binary64) (pow.f64 y #s(literal 8 binary64)))) (/.f64 x (.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 x (.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 11/2 binary64)) (+.f64 (.f64 (-.f64 (-.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 11 binary64) x) x) y) y) (pow.f64 y #s(literal 6 binary64))) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 121 binary64))) #s(literal 2 binary64)) (.f64 x x)) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1335/4 binary64)))))

Outputs

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

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

soundness1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 43 to 30 computations (30.2% saved)

preprocess11.0ms (0.4%)

Memory

-0.7MiB live, 7.2MiB allocated

Remove

(sort x y)

(abs x)

(abs y)

Compiler

Compiled 688 to 480 computations (30.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample15.0ms (0.5%)

explain2.8s (93%)

preprocess161.0ms (5.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

simplify20.0ms (0.7%)

soundness1.0ms (0%)

preprocess11.0ms (0.4%)

end0.0ms (0%)

Profiling