Metrics for VandenBroeck and Keller, Equation (23)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze300.0ms (11.5%)

Memory

4.5MiB live, 100.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	6
15.6%	15.6%	84.3%	0.1%	0%	0%	0%	7
16.7%	15.6%	78%	0.1%	0%	6.2%	0%	8
25%	23.4%	70.2%	0.1%	0%	6.2%	0%	9
29.7%	26.9%	63.6%	0.1%	0%	9.4%	0%	10
30.8%	26.9%	60.5%	0.1%	0%	12.5%	0%	11
35.9%	31.4%	56%	0.1%	0%	12.5%	0%	12

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample48.0ms (1.8%)

Memory

0.7MiB live, 15.8MiB allocated

Samples

36.0ms	260×	0	valid
1.0ms	11×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 6.0ms (19.2% of total)

ival-tan: 6.0ms (19.2% of total)

ival-sin: 5.0ms (16% of total)

ival-pow: 5.0ms (16% of total)

ival-div: 4.0ms (12.8% of total)

ival-add: 4.0ms (12.8% of total)

ival-neg: 2.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain2.0s (76.3%)

Memory

10.2MiB live, 1 557.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
82	-	-	`(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`
33	-	-	`(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))`
0	-	-	`(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 F F) #s(literal 2 binary64))`
0	-	-	`(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))`
0	-	-	`(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))`
0	-	-	`(*.f64 F F)`
0	-	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	-	`(neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))`
0	-	-	`F`
0	-	-	`(tan.f64 B)`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
0	-	-	`(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))`
0	-	-	`(/.f64 F (sin.f64 B))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 B))`
0	-	-	`x`
0	-	-	`B`
0	-	-	`(sin.f64 B)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))`	oflow-rescue	82	0
↳	`(*.f64 F F)`	overflow	82
↳	`(+.f64 (*.f64 F F) #s(literal 2 binary64))`	overflow	82
↳	`(+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x))`	overflow	82
`*.f64`	`(.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))))`	*no**	33	0

Confusion

	Predicted +	Predicted -
+	60	0
-	30	166

Precision

0.6666666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	60	0	0
-	30	0	166

Precision?

0.6666666666666666

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	166
1	65
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

13.679931640625

Average Time

0.053437232971191406

Samples

492.0ms

3 072×

valid

Compiler

Compiled 4 560 to 984 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-mult: 67.0ms (18.5% of total)

ival-tan: 65.0ms (17.9% of total)

ival-sin: 58.0ms (16% of total)

ival-pow: 56.0ms (15.4% of total)

ival-div: 53.0ms (14.6% of total)

ival-add: 36.0ms (9.9% of total)

ival-neg: 21.0ms (5.8% of total)

exact: 3.0ms (0.8% of total)

ival-true: 2.0ms (0.6% of total)

adjust: 1.0ms (0.3% of total)

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

preprocess242.0ms (9.3%)

Memory

-5.0MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	229
1	209	195
2	538	191
3	1197	191
4	2806	191
5	4494	191
6	5054	191
7	5344	191
8	5458	191
9	5466	191
10	5472	191
11	5800	191
12	5936	191
13	5936	191
14	5936	191
15	5936	191
0	20	24
0	37	24
1	58	21
2	98	21
3	150	21
4	210	21
5	314	21
6	466	21
7	908	21
8	1160	21
9	1260	21
10	1429	21
11	1552	21
12	1572	21
0	1572	19

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Inputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Outputs
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 F F #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 B)) F (/.f64 (neg.f64 x) (tan.f64 B)))

Symmetry

(negabs B)

Compiler

Compiled 27 to 20 computations (25.9% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Status

Accuracy

Program

77.0%

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify23.0ms (0.9%)

Memory

0.7MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	27
1	42	26
2	61	25
3	76	25
4	106	25
5	146	25
6	148	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Inputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

Outputs
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (.f64 F F) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))
(-.f64 (.f64 (pow.f64 (+.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 F F))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (/.f64 F (sin.f64 B))) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x))

Outputs

(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (*.f64 (/.f64 F (sin.f64 B)) (pow.f64 (+.f64 (+.f64 (*.f64 F F) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))))

(-.f64 (*.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 F F))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (/.f64 F (sin.f64 B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 25 to 19 computations (24% saved)

preprocess5.0ms (0.2%)

Memory: 2.6MiB live, 2.6MiB allocated
Remove: (negabs B)
Compiler: Compiled 204 to 154 computations (24.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze300.0ms (11.5%)

sample48.0ms (1.8%)

explain2.0s (76.3%)

preprocess242.0ms (9.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (0.9%)

soundness0.0ms (0%)

preprocess5.0ms (0.2%)

end0.0ms (0%)

Profiling