Metrics for math.cos on complex, imaginary part

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%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample50.0ms (3.4%)

Memory

2.9MiB live, 11.6MiB allocated

Samples

17.0ms	42×	2	valid
15.0ms	99×	1	valid
9.0ms	119×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-exp: 18.0ms (51.2% of total)

ival-sin: 6.0ms (17.1% of total)

adjust: 4.0ms (11.4% of total)

ival-mult: 4.0ms (11.4% of total)

ival-sub: 2.0ms (5.7% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain1.2s (84.4%)

Memory

8.2MiB live, 705.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
142	-	-	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`
0	-	-	`(exp.f64 im)`
0	-	-	`(neg.f64 im)`
0	-	-	`(exp.f64 (neg.f64 im))`
0	-	-	`(sin.f64 re)`
0	-	-	`im`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (sin.f64 re))`
0	-	-	`(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))`
0	-	-	`re`
0	-	-	`#s(literal 1/2 binary64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))`	cancellation	142	0

Confusion

	Predicted +	Predicted -
+	105	0
-	37	114

Precision

0.7394366197183099

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	105	0	0
-	37	0	114

Precision?

0.7394366197183099

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	114
1	142

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

6.99853515625

Average Time

0.027338027954101563

Samples

304.0ms	756×	2	valid
175.0ms	948×	1	valid
117.0ms	1 368×	0	valid

Compiler

Compiled 1 344 to 504 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 468.0ms

ival-exp: 259.0ms (55.4% of total)

ival-sin: 66.0ms (14.1% of total)

adjust: 55.0ms (11.8% of total)

ival-mult: 47.0ms (10.1% of total)

ival-sub: 23.0ms (4.9% of total)

ival-neg: 11.0ms (2.4% of total)

ival-true: 2.0ms (0.4% of total)

exact: 2.0ms (0.4% of total)

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

preprocess136.0ms (9.2%)

Memory

1.9MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	70	57
2	232	55
3	811	55
4	1902	55
5	2809	55
6	3188	55
7	3536	55
8	3561	55
9	3561	55
10	3561	55
11	3593	55
12	3599	55
13	3599	55
0	10	11
0	17	11
1	29	11
2	57	11
3	121	11
4	218	11
5	355	11
6	520	11
7	767	11
8	1098	11
9	1360	11
10	1398	11
11	1421	11
12	1423	11
13	1423	11
0	1423	11

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))

Symmetry

(negabs im)

(negabs re)

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 22 to 20 computations (9.1% saved)

simplify23.0ms (1.6%)

Memory

-7.6MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	23	11
3	26	11
4	27	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Outputs
(.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 (sin.f64 re) #s(literal 1/2 binary64)))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess20.0ms (1.3%)

Memory

1.3MiB live, 8.9MiB allocated

Remove

(negabs re)

(negabs im)

Compiler

Compiled 214 to 176 computations (17.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample50.0ms (3.4%)

explain1.2s (84.4%)

preprocess136.0ms (9.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (1.6%)

soundness0.0ms (0%)

preprocess20.0ms (1.3%)

end0.0ms (0%)

Profiling