Metrics for erfc(a/b)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.6%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
0%	0%	25%	75%	0%	0%	0%	2
50%	12.5%	12.5%	75%	0%	0%	0%	3
50%	12.5%	12.5%	75%	0%	0%	0%	4
75%	18.7%	6.2%	75%	0%	0%	0%	5
75%	18.7%	6.2%	75%	0%	0%	0%	6
87.5%	21.8%	3.1%	75%	0%	0%	0%	7
87.5%	21.8%	3.1%	75%	0%	0%	0%	8
93.8%	23.4%	1.6%	75%	0%	0%	0%	9
93.8%	23.4%	1.6%	75%	0%	0%	0%	10
96.9%	24.2%	0.8%	75%	0%	0%	0%	11
96.9%	24.2%	0.8%	75%	0%	0%	0%	12

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.3s (55.3%)

Memory

180.5MiB live, 625.4MiB allocated

Samples

501.0ms	6 213×	0	valid
407.0ms	2 030×	2	valid
13.0ms	13×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 590.0ms

ival-div: 179.0ms (30.4% of total)

ival-erf: 123.0ms (20.9% of total)

ival-sub: 95.0ms (16.1% of total)

ival-<=: 86.0ms (14.6% of total)

adjust: 64.0ms (10.9% of total)

ival-and: 25.0ms (4.2% of total)

exact: 14.0ms (2.4% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain89.0ms (3.7%)

Memory

-49.5MiB live, 23.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(erfc.f64 (/.f64 a b))`
-	-	`(/.f64 a b)`
-	-	`a`
-	-	`b`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

20.0ms	410×	0	valid
13.0ms	98×	2	valid
5.0ms	4×	1	valid

Compiler

Compiled 30 to 20 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-erf: 9.0ms (39.4% of total)

ival-div: 7.0ms (30.7% of total)

ival-sub: 4.0ms (17.5% of total)

adjust: 2.0ms (8.8% of total)

ival-true: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

preprocess16.0ms (0.7%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	35	34
2	67	30
3	101	30
4	141	30
5	169	30
6	195	30
7	211	30
8	214	30
0	4	4
0	8	4
1	12	4
2	16	4
3	21	4
4	27	4
5	35	4
6	45	4
7	56	4
8	59	4
0	59	4

Stop Event

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

Calls

Call 1

Inputs
(erfc.f64 (/.f64 a b))

Outputs
(erfc.f64 (/.f64 a b))

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(erfc.f64 (/.f64 a b))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify4.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 a b)
cost-diff	0	(erfc.f64 (/.f64 a b))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	8	9
1	12	9
2	16	9
3	21	9
4	27	9
5	35	9
6	45	9
7	56	9
8	59	9
0	59	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(erfc.f64 (/.f64 a b))
(/.f64 a b)
a
b

Outputs
(erfc.f64 (/.f64 a b))
(/.f64 a b)
a
b

localize24.0ms (1%)

Memory

7.2MiB live, 7.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 a b)
accuracy	0.026591230164287515	(erfc.f64 (/.f64 a b))

Samples

10.0ms	205×	0	valid
6.0ms	49×	2	valid
3.0ms	2×	1	valid

Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-erf: 5.0ms (45% of total)

ival-div: 3.0ms (27% of total)

ival-sub: 2.0ms (18% of total)

adjust: 1.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

1.4MiB live, 1.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(erfc.f64 (/.f64 a b))
(/.f64 a b)

Outputs
(- 1 (erf (/ a b)))
(/ a b)

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((- 1 (erf (/ a b))) (/ a b))
1.0ms	b	@	inf	((- 1 (erf (/ a b))) (/ a b))
1.0ms	a	@	-inf	((- 1 (erf (/ a b))) (/ a b))
0.0ms	b	@	-inf	((- 1 (erf (/ a b))) (/ a b))
0.0ms	a	@	0	((- 1 (erf (/ a b))) (/ a b))

simplify3.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	10	9
2	14	9
3	19	9
4	25	9
5	33	9
6	43	9
7	54	9
8	57	9
0	57	7

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(- 1 (erf (/ a b)))
(/ a b)

Outputs
(- 1 (erf (/ a b)))
(erfc.f64 (/.f64 a b))
(/ a b)
(/.f64 a b)

rewrite229.0ms (9.6%)

Memory

-105.4MiB live, 69.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	8	7
1	32	7
2	170	7
3	1207	7
0	9686	7

Stop Event

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

Counts

2 → 724

Calls

Call 1

Inputs
(erfc.f64 (/.f64 a b))
(/.f64 a b)

Outputs
(*.f64 (pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (erfc.f64 (/.f64 a b))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (erfc.f64 (/.f64 a b)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (erf.f64 (/.f64 (neg.f64 a) b)) (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (erfc.f64 (/.f64 a b)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (erf.f64 (/.f64 (neg.f64 a) b)) (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 9 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (erfc.f64 (/.f64 a b))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (erfc.f64 (/.f64 a b))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))))
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(-.f64 #s(literal 1 binary64) (erf.f64 (/.f64 (neg.f64 a) b)))
(-.f64 #s(literal 1 binary64) (erf.f64 (/.f64 a b)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (erfc.f64 (/.f64 a b))) (.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (erfc.f64 (/.f64 a b))))
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(+.f64 (.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (-.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (*.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)))))
(+.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erfc.f64 (/.f64 a b))))))
(+.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))) (erfc.f64 (/.f64 a b))))
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(+.f64 (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)) (fma.f64 (erfc.f64 (/.f64 a b)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(+.f64 (erf.f64 (/.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (erfc.f64 (/.f64 a b)))
(+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (erf.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (erf.f64 (/.f64 (neg.f64 a) b)))
(+.f64 #s(literal 1 binary64) (erf.f64 (/.f64 a b)))
(erfc.f64 (/.f64 (neg.f64 a) b))
(erfc.f64 (/.f64 a b))
(*.f64 (/.f64 (pow.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal 1 binary64)) a)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 a) b) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (pow.f64 a #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) b))
(*.f64 (pow.f64 b #s(literal -1 binary64)) a)
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 (/.f64 a b) #s(literal 1 binary64))
(*.f64 a (pow.f64 b #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 b a))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b a) (/.f64 b a)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 b a) #s(literal -1 binary64))
(pow.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b))) (/.f64 (neg.f64 a) b))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 a) b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 b) (neg.f64 a))) (.f64 (neg.f64 b) b))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 b)) (.f64 (neg.f64 b) a)) (*.f64 b b))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 b) a)) (neg.f64 b)) (.f64 (neg.f64 b) (/.f64 (neg.f64 b) a)))
(/.f64 (/.f64 (neg.f64 a) b) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 (pow.f64 a #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) a))
(/.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b a))
(/.f64 (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
(neg.f64 (/.f64 (neg.f64 a) b))
(fma.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64) (/.f64 a b))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 a) b) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) b))
(exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64)) (/.f64 a b))
(+.f64 #s(literal 0 binary64) (/.f64 a b))

eval88.0ms (3.7%)

Memory: -18.1MiB live, 62.8MiB allocated
Compiler: Compiled 31 956 to 1 269 computations (96% saved)

prune12.0ms (0.5%)

Memory

26.0MiB live, 26.0MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	724	2	726
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	724	3	727

Accuracy

100.0%

Counts

727 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
▶	80.8%	(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
✓	100.0%	(erfc.f64 (/.f64 a b))

Status

Accuracy

Program

▶

99.9%

(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))

▶

80.8%

(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))

✓

100.0%

(erfc.f64 (/.f64 a b))

Compiler

Compiled 25 to 21 computations (16% saved)

simplify237.0ms (9.9%)

Memory

-22.7MiB live, 55.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a b)
cost-diff	0	(erfc.f64 (/.f64 a b))
cost-diff	0	(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
cost-diff	4	(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
cost-diff	0	(/.f64 a b)
cost-diff	0	(erfc.f64 (/.f64 a b))
cost-diff	0	(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))
cost-diff	9	(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
0	18	48
1	25	48
2	44	48
3	121	48
4	454	48
5	3412	48
0	8273	48

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))
(erfc.f64 (/.f64 a b))
(/.f64 a b)
a
b
#s(literal 2 binary64)
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
(erfc.f64 (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -1 binary64)

Outputs
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(erfc.f64 (/.f64 a b))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))
(erfc.f64 (/.f64 a b))
(/.f64 a b)
a
b
#s(literal 2 binary64)
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(erfc.f64 (/.f64 a b))
#s(literal 1 binary64)
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
(erfc.f64 (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -1 binary64)

localize53.0ms (2.2%)

Memory

18.1MiB live, 18.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 a b)
accuracy	0.0078125	(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
accuracy	0.01953125	(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
accuracy	0.026591230164287515	(erfc.f64 (/.f64 a b))
accuracy	0.0078125	(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
accuracy	0.0234375	(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
accuracy	0.026591230164287515	(erfc.f64 (/.f64 a b))
accuracy	0.03125	(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))

Samples

20.0ms	205×	0	valid
20.0ms	49×	4	exit
3.0ms	2×	1	valid

Compiler

Compiled 79 to 14 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 6.0ms (21.1% of total)

ival-erf: 5.0ms (17.6% of total)

ival-pow: 5.0ms (17.6% of total)

ival-pow2: 4.0ms (14.1% of total)

adjust: 3.0ms (10.6% of total)

ival-sub: 2.0ms (7% of total)

ival-mult: 2.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))
(erfc.f64 (/.f64 a b))
(/.f64 a b)
(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))

Outputs
(- 1 (erf (/ a b)))
(pow (- 1 (erf (/ a b))) 2)
(/ a b)
(/ 1 (- 1 (erf (/ a b))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	((* (pow (- 1 (erf (/ a b))) 2) (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) 2) (- 1 (erf (/ a b))) (/ a b) (/ 1 (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) -1))
1.0ms	a	@	inf	((* (pow (- 1 (erf (/ a b))) 2) (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) 2) (- 1 (erf (/ a b))) (/ a b) (/ 1 (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) -1))
1.0ms	b	@	-inf	((* (pow (- 1 (erf (/ a b))) 2) (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) 2) (- 1 (erf (/ a b))) (/ a b) (/ 1 (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) -1))
1.0ms	a	@	0	((* (pow (- 1 (erf (/ a b))) 2) (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) 2) (- 1 (erf (/ a b))) (/ a b) (/ 1 (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) -1))
1.0ms	b	@	inf	((* (pow (- 1 (erf (/ a b))) 2) (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) 2) (- 1 (erf (/ a b))) (/ a b) (/ 1 (pow (- 1 (erf (/ a b))) -1)) (pow (- 1 (erf (/ a b))) -1))

simplify31.0ms (1.3%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	14	25
2	24	25
3	52	25
4	144	25
5	455	25
6	766	25
7	970	25
8	1019	25
9	1025	25
10	1026	25
0	1026	19

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

Inputs
(- 1 (erf (/ a b)))
(pow (- 1 (erf (/ a b))) 2)
(/ a b)
(/ 1 (- 1 (erf (/ a b))))

Outputs
(- 1 (erf (/ a b)))
(erfc.f64 (/.f64 a b))
(pow (- 1 (erf (/ a b))) 2)
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))
(/ a b)
(/.f64 a b)
(/ 1 (- 1 (erf (/ a b))))
(/.f64 #s(literal 1 binary64) (erfc.f64 (/.f64 a b)))

rewrite119.0ms (4.9%)

Memory

40.0MiB live, 40.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	18	27
1	66	27
2	368	27
0	4042	27

Stop Event

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

Counts

6 → 1 082

Calls

Call 1

Inputs
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))
(erfc.f64 (/.f64 a b))
(/.f64 a b)
(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))

Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (erf.f64 (/.f64 a b))) (erfc.f64 (/.f64 a b)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)))) (-.f64 (erfc.f64 (/.f64 a b)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (-.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (fma.f64 (erf.f64 (/.f64 a b)) #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (erfc.f64 (/.f64 a b)))
(.f64 (.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/4 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))) (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (pow.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (neg.f64 (erfc.f64 (/.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (erfc.f64 (/.f64 a b))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) (erfc.f64 (/.f64 a b))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b)))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3 binary64)) (pow.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(*.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (erfc.f64 (/.f64 a b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (erfc.f64 (/.f64 a b))))
(*.f64 (erfc.f64 (/.f64 a b)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (erfc.f64 (/.f64 a b))))
(pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (erf.f64 (/.f64 a b))) (erfc.f64 (/.f64 a b)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))) (erfc.f64 (/.f64 a b)))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64)))) (-.f64 (erfc.f64 (/.f64 a b)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (-.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (erfc.f64 (/.f64 a b))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 3/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (-.f64 (erfc.f64 (/.f64 a b)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (erf.f64 (/.f64 a b))) (erfc.f64 (/.f64 a b)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (-.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (erf.f64 (/.f64 a b)) #s(literal -1 binary64) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)))))
(/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)) (sqrt.f64 (erfc.f64 (/.f64 a b))))
(/.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) (*.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (erf.f64 (/.f64 a b)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (erfc.f64 (/.f64 a b))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (erfc.f64 (/.f64 a b)))
(/.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (erfc.f64 (/.f64 a b))))
(/.f64 (erfc.f64 (/.f64 a b)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (erfc.f64 (/.f64 a b))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 4 binary64)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64)))) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 6 binary64)) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (erf.f64 (/.f64 a b)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (erf.f64 (/.f64 a b))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (erf.f64 (/.f64 a b))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b)))))
(fma.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(fma.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (erfc.f64 (/.f64 a b))))
(exp.f64 (fma.f64 (log.f64 (erfc.f64 (/.f64 a b))) #s(literal -1/2 binary64) (*.f64 (log.f64 (erfc.f64 (/.f64 a b))) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (erfc.f64 (/.f64 a b))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (erfc.f64 (/.f64 a b))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (erfc.f64 (/.f64 a b)))))
(+.f64 (*.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))) (.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (erf.f64 (/.f64 a b))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (erf.f64 (/.f64 a b))))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (erf.f64 (/.f64 a b))))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b)))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b)))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (erf.f64 (/.f64 a b)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 2 binary64)) (erf.f64 (/.f64 a b))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (erf.f64 (/.f64 a b)) #s(literal 3 binary64))) #s(literal -1 binary64))))

eval91.0ms (3.8%)

Memory: -7.6MiB live, 69.7MiB allocated
Compiler: Compiled 21 256 to 1 798 computations (91.5% saved)

prune21.0ms (0.9%)

Memory

-92.6MiB live, 30.2MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	796	5	801
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	798	6	804

Accuracy

100.0%

Counts

804 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (erfc.f64 (/.f64 a b))))
	80.1%	(*.f64 (pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
	80.8%	(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log.f64 (erfc.f64 (/.f64 a b))))))
	80.8%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
✓	100.0%	(erfc.f64 (/.f64 a b))

Compiler

Compiled 149 to 78 computations (47.7% saved)

regimes9.0ms (0.4%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total -12.7b remaining (-47765%)

Threshold costs -12.7b (-47765%)

Counts

8 → 1

Calls

Call 1

Inputs
(erfc.f64 (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (erfc.f64 (/.f64 a b))))
(/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -2 binary64))) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal 2 binary64)) (exp.f64 (neg.f64 (log.f64 (erfc.f64 (/.f64 a b))))))
(*.f64 (pow.f64 (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1/2 binary64)) #s(literal -4 binary64)) (pow.f64 (erfc.f64 (/.f64 a b)) #s(literal -1 binary64)))

Outputs
(erfc.f64 (/.f64 a b))

Calls

4 calls:

2.0ms	(/.f64 a b)
2.0ms	b
2.0ms	a
2.0ms	(erfc.f64 (/.f64 a b))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(erfc.f64 (/.f64 a b))`
100.0%	1	`(/.f64 a b)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify10.0ms (0.4%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

Inputs
(erfc.f64 (/.f64 a b))

Outputs
(erfc.f64 (/.f64 a b))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess11.0ms (0.5%)

Memory: 8.3MiB live, 8.3MiB allocated
Compiler: Compiled 16 to 16 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	35	34
2	67	30
3	101	30
4	141	30
5	169	30
6	195	30
7	211	30
8	214	30
0	4	4
0	8	4
1	12	4
2	16	4
3	21	4
4	27	4
5	35	4
6	45	4
7	56	4
8	59	4
0	59	4

Iter	Nodes	Cost
0	16	36
1	35	34
2	67	30
3	101	30
4	141	30
5	169	30
6	195	30
7	211	30
8	214	30
0	4	4
0	8	4
1	12	4
2	16	4
3	21	4
4	27	4
5	35	4
6	45	4
7	56	4
8	59	4
0	59	4

start0.0ms (0%)

analyze16.0ms (0.6%)

sample1.3s (55.3%)

explain89.0ms (3.7%)

preprocess16.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (1%)

series3.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite229.0ms (9.6%)

eval88.0ms (3.7%)

prune12.0ms (0.5%)

simplify237.0ms (9.9%)

localize53.0ms (2.2%)

series7.0ms (0.3%)

simplify31.0ms (1.3%)

rewrite119.0ms (4.9%)

eval91.0ms (3.8%)

prune21.0ms (0.9%)

regimes9.0ms (0.4%)

simplify10.0ms (0.4%)

soundness0.0ms (0%)

preprocess11.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	35	34
2	67	30
3	101	30
4	141	30
5	169	30
6	195	30
7	211	30
8	214	30
0	4	4
0	8	4
1	12	4
2	16	4
3	21	4
4	27	4
5	35	4
6	45	4
7	56	4
8	59	4
0	59	4