Metrics for ENA, Section 1.4, Exercise 4b, n=2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.2s (17.6%)

Memory

49.0MiB live, 1 558.6MiB allocated

Samples

344.0ms	5 191×	0	valid
328.0ms	2 512×	1	valid
102.0ms	553×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 548.0ms

ival-pow2: 240.0ms (43.8% of total)

ival-<=: 80.0ms (14.6% of total)

adjust: 69.0ms (12.6% of total)

ival-add: 69.0ms (12.6% of total)

ival-sub: 52.0ms (9.5% of total)

ival-and: 20.0ms (3.6% of total)

exact: 15.0ms (2.7% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain106.0ms (1.6%)

Memory

11.1MiB live, 133.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
71	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	-	`eps`
0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	-	-	`(+.f64 x eps)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	71	0

Confusion

	Predicted +	Predicted -
+	71	0
-	0	185

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	0	0
-	0	0	185

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	185
1	71

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms	332×	0	valid
18.0ms	154×	1	valid
10.0ms	26×	2	valid

Compiler

Compiled 82 to 32 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow2: 14.0ms (40.7% of total)

adjust: 9.0ms (26.2% of total)

ival-add: 8.0ms (23.3% of total)

ival-sub: 3.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess368.0ms (5.6%)

Memory

11.0MiB live, 165.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	45	47
2	149	45
3	542	35
4	1660	35
5	3800	35
6	5269	35
7	5989	35
8	6216	35
9	6322	35
10	6343	35
11	6343	35
12	6343	35
13	6343	35
14	6434	35
15	6762	35
16	7560	35
17	7996	35
0	7	9
0	11	9
1	16	9
2	36	9
3	96	9
4	276	7
5	861	7
6	2374	7
7	4277	7
8	5921	7
9	6913	7
10	7338	7
11	7606	7
12	7612	7
13	7612	7
0	8047	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.3%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify216.0ms (3.3%)

Memory

-13.3MiB live, 144.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x eps)
cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
cost-diff	6144	(pow.f64 x #s(literal 2 binary64))
cost-diff	6464	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	16	23
2	36	23
3	96	23
4	276	21
5	861	21
6	2374	21
7	4277	21
8	5921	21
9	6913	21
10	7338	21
11	7606	21
12	7612	21
13	7612	21
0	8047	20

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)
x
eps
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))

Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(+.f64 eps x)
x
eps
#s(literal 2 binary64)
(*.f64 x x)

localize43.0ms (0.7%)

Memory

-16.0MiB live, 22.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 2 binary64))
accuracy	0	(+.f64 x eps)
accuracy	0.01953125	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
accuracy	15.787357077701884	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Samples

9.0ms	166×	0	valid
9.0ms	77×	1	valid
2.0ms	13×	2	valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-pow2: 7.0ms (58% of total)

adjust: 2.0ms (16.6% of total)

ival-add: 2.0ms (16.6% of total)

ival-sub: 2.0ms (16.6% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 x eps) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow x 2) (pow (+ x eps) 2) (+ x eps))
1.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow x 2) (pow (+ x eps) 2) (+ x eps))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (pow x 2) (pow (+ x eps) 2) (+ x eps))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (pow x 2) (pow (+ x eps) 2) (+ x eps))
1.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (pow x 2) (pow (+ x eps) 2) (+ x eps))

simplify146.0ms (2.2%)

Memory

25.3MiB live, 149.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	438
1	214	438
2	570	438
3	1803	438
4	4151	438
5	7220	438
0	8070	390

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

Inputs
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(pow x 2)
(+ (* 2 (* eps x)) (pow x 2))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
x
(+ eps x)
(+ eps x)
(+ eps x)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
eps
(+ eps x)
(+ eps x)
(+ eps x)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))

Outputs
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 2 binary64) eps x) x)
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)

rewrite160.0ms (2.4%)

Memory

0.8MiB live, 157.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	52	20
2	371	20
3	5109	20
0	8219	20

Stop Event

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

Counts

4 → 371

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
(+.f64 x eps)

Outputs
#<batchref>
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eval54.0ms (0.8%)

Memory: 5.9MiB live, 80.7MiB allocated
Compiler: Compiled 10 366 to 1 156 computations (88.8% saved)

prune13.0ms (0.2%)

Memory

-4.7MiB live, 31.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	442	7	449
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	443	7	450

Accuracy

100.0%

Counts

450 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(fma.f64 (+.f64 eps x) x (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
▶	66.5%	(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
	31.8%	(fma.f64 (.f64 eps (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (.f64 (neg.f64 x) x)))
▶	75.3%	(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	64.1%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
▶	72.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 206 to 120 computations (41.7% saved)

simplify301.0ms (4.6%)

Memory

-0.6MiB live, 233.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) x)
cost-diff	0	(+.f64 eps x)
cost-diff	192	(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
cost-diff	704	(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))
cost-diff	0	(+.f64 (+.f64 eps x) x)
cost-diff	0	(+.f64 eps x)
cost-diff	0	(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
cost-diff	384	(-.f64 (+.f64 eps x) x)
cost-diff	0	(*.f64 eps x)
cost-diff	0	(.f64 (.f64 eps x) #s(literal 2 binary64))
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
cost-diff	0	(fma.f64 #s(literal 2 binary64) x eps)
cost-diff	0	(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	132
0	39	108
1	78	105
2	166	99
3	451	99
4	1840	99
5	4594	99
6	7430	99
0	8039	99

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
eps
x
#s(literal 2 binary64)
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
eps
x
(+.f64 (+.f64 eps x) x)
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
(+.f64 eps x)
eps
x
(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
eps
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
eps
x
#s(literal 2 binary64)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(+.f64 eps x)
eps
x
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(+.f64 eps x)
eps
x
(*.f64 eps x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize167.0ms (2.6%)

Memory

-3.4MiB live, 130.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 x) x)
accuracy	0	(neg.f64 x)
accuracy	0.01953125	(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
accuracy	21.4503271883781	(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))
accuracy	0	(+.f64 eps x)
accuracy	0.01953125	(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
accuracy	0.0234375	(+.f64 (+.f64 eps x) x)
accuracy	28.290845532699237	(-.f64 (+.f64 eps x) x)
accuracy	0	(*.f64 eps x)
accuracy	0.01171875	(.f64 (.f64 eps x) #s(literal 2 binary64))
accuracy	22.984771882414474	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
accuracy	0	(*.f64 eps eps)
accuracy	17.3157123800836	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
accuracy	0	(fma.f64 #s(literal 2 binary64) x eps)
accuracy	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
accuracy	0.01953125	(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)

Samples

118.0ms	107×	1	valid
25.0ms	136×	0	valid
6.0ms	13×	2	valid

Compiler

Compiled 254 to 49 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 100.0ms (77.9% of total)

ival-add: 10.0ms (7.8% of total)

ival-pow2: 7.0ms (5.5% of total)

adjust: 6.0ms (4.7% of total)

ival-sub: 3.0ms (2.3% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (0.9%)

Memory

-9.1MiB live, 27.6MiB allocated

Counts

16 → 348

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (.f64 (.f64 eps x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (-.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (+ eps x) x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x))
3.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (+ eps x) x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x))
3.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (+ eps x) x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x))
2.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (+ eps x) x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x))
2.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (* 2 x) eps) eps) (+ (* 2 x) eps) (- (pow (+ x eps) 2) (pow x 2)) (* eps eps) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps x) 2) (* eps x) (- (+ eps x) x) (* (- (+ eps x) x) (+ (+ eps x) x)) (+ eps x) (+ (+ eps x) x) (+ (* (+ eps x) x) (* (neg x) x)) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (* (neg x) x) (neg x))

simplify162.0ms (2.5%)

Memory

-1.3MiB live, 153.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1560
1	267	1552
2	786	1552
3	2425	1552
4	6338	1552
0	8055	1409

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 312

Calls

Call 1

Inputs
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 x)
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
eps
eps
eps
eps
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
x
(+ eps x)
(+ eps x)
(+ eps x)
(* 2 x)
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
eps
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
eps
eps
eps
eps
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps x)
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
eps
eps
eps
eps
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
eps
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
eps
eps
eps
eps
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
eps
(+ eps x)
(+ eps x)
(+ eps x)
eps
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 x)
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
eps
eps
eps
eps
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* 2 x)
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
eps
eps
eps
eps
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* 2 x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
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(*.f64 eps x)
(*.f64 eps x)
eps
eps
eps
eps
(.f64 (.f64 eps x) #s(literal 2 binary64))
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x
(+.f64 eps x)
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(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 0 binary64)
(*.f64 eps x)
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(*.f64 eps x)
#s(literal 0 binary64)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
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(fma.f64 #s(literal 2 binary64) x eps)
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eps
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(fma.f64 #s(literal 2 binary64) x eps)
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(.f64 (.f64 eps x) #s(literal 2 binary64))
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eps
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(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(+.f64 eps x)
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eps
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
eps
eps
eps
eps
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
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(+.f64 eps x)
eps
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 eps x)
(*.f64 eps x)
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(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
eps
eps
eps
eps
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
eps
eps
eps
eps
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)

rewrite225.0ms (3.4%)

Memory

8.7MiB live, 320.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	118
0	39	112
1	173	99
2	1529	99
0	8196	99

Stop Event

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

Counts

16 → 1 306

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 eps eps)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps x)
(-.f64 (+.f64 eps x) x)
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(+.f64 eps x)
(+.f64 (+.f64 eps x) x)
(fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

Outputs
#<batchref>
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eval283.0ms (4.3%)

Memory: -14.0MiB live, 411.4MiB allocated
Compiler: Compiled 51 283 to 2 954 computations (94.2% saved)

prune48.0ms (0.7%)

Memory

-18.7MiB live, 108.3MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 819	6	1 825
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	1 824	8	1 832

Accuracy

100.0%

Counts

1 832 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
▶	76.3%	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
▶	64.1%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	72.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
▶	38.8%	#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

Compiler

Compiled 237 to 154 computations (35% saved)

simplify245.0ms (3.7%)

Memory

30.9MiB live, 209.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 eps x)
cost-diff	0	#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
cost-diff	0	(*.f64 eps #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 eps #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
cost-diff	0	#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
cost-diff	0	#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(+.f64 (+.f64 eps x) x)
cost-diff	0	(*.f64 (+.f64 (+.f64 eps x) x) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	155
0	38	145
1	68	136
2	110	136
3	253	114
4	692	114
5	2185	114
6	4516	114
7	6544	114
8	7910	114
0	8045	108

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
eps
x
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
#s(literal 0 binary64)
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
(+.f64 eps x)
eps
x
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(*.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
x
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
(+.f64 eps x)
eps
x
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))
(*.f64 eps x)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(+.f64 eps x)
eps
x
#s(approx (- (pow (+ x eps) 2) (pow x 2)) #s(literal 0 binary64))
#s(literal 0 binary64)
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
(+.f64 eps x)
eps
x
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(*.f64 #s(literal 2 binary64) eps)
eps
#s(literal 2 binary64)
x
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
(+.f64 eps x)
eps
x
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))
(*.f64 eps x)

localize133.0ms (2%)

Memory

-31.5MiB live, 117.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 eps x)
accuracy	0	(*.f64 eps x)
accuracy	0	#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))
accuracy	0.01953125	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
accuracy	0	(.f64 (.f64 eps #s(literal 2 binary64)) x)
accuracy	0	(*.f64 eps #s(literal 2 binary64))
accuracy	22.984771882414474	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
accuracy	0	(+.f64 eps x)
accuracy	0.01953125	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
accuracy	32.75731496547563	#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))
accuracy	39.15566447408213	#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
accuracy	0	(+.f64 eps x)
accuracy	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
accuracy	0.01953125	(*.f64 (+.f64 (+.f64 eps x) x) eps)
accuracy	0.0234375	(+.f64 (+.f64 eps x) x)

Samples

55.0ms	77×	1	valid
48.0ms	166×	0	valid
5.0ms	13×	2	valid

Compiler

Compiled 286 to 51 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 37.0ms (62.9% of total)

ival-add: 8.0ms (13.6% of total)

ival-pow2: 7.0ms (11.9% of total)

adjust: 4.0ms (6.8% of total)

ival-sub: 2.0ms (3.4% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

4.3MiB live, 41.3MiB allocated

Counts

13 → 300

Calls

Call 1

Inputs
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (+.f64 (+.f64 eps x) x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (+.f64 eps x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x))
2.0ms	eps	@	-inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x))
1.0ms	eps	@	inf	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x))
1.0ms	eps	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x))
1.0ms	x	@	0	((- (pow (+ x eps) 2) (pow x 2)) (* (+ (+ eps x) x) eps) (+ (+ eps x) x) (+ eps x) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (- (pow (+ x eps) 2) (pow x 2)) (* (* eps 2) x) (* eps 2) (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) (+ (* (+ eps x) x) (* (neg x) x)) (* eps x))

simplify120.0ms (1.8%)

Memory

9.1MiB live, 165.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1432
1	267	1412
2	784	1412
3	2417	1412
4	6232	1412
0	8096	1289

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 291

Calls

Call 1

Inputs
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 x)
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
x
(+ eps x)
(+ eps x)
(+ eps x)
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(+ (* -1 (pow x 2)) (pow x 2))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(+ (* -1 (pow x 2)) (+ (* eps x) (pow x 2)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
eps
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
(* eps (+ 1 (* 2 (/ x eps))))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* eps x)
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(* eps x)
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps (+ x (+ (* -1 (/ (pow x 2) eps)) (/ (pow x 2) eps))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps)))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
eps
(+ eps (* 2 x))
(+ eps (* 2 x))
(+ eps (* 2 x))
eps
(+ eps x)
(+ eps x)
(+ eps x)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 x)
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
(* x (+ 2 (/ eps x)))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)

Outputs
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
#s(literal 0 binary64)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
#s(literal 0 binary64)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
#s(literal 0 binary64)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
#s(literal 0 binary64)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 2 binary64) x eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)

rewrite173.0ms (2.6%)

Memory

11.9MiB live, 249.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	138
0	38	128
1	167	119
2	1340	119
0	8097	116

Stop Event

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

Counts

13 → 192

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(*.f64 (+.f64 (+.f64 eps x) x) eps)
(+.f64 (+.f64 eps x) x)
(+.f64 eps x)
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(*.f64 eps #s(literal 2 binary64))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
#s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x))
(*.f64 eps x)

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval75.0ms (1.1%)

Memory: -5.4MiB live, 69.3MiB allocated
Compiler: Compiled 16 461 to 905 computations (94.5% saved)

prune69.0ms (1.1%)

Memory

-0.1MiB live, 56.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	618	1	619
Fresh	0	1	1
Picked	1	4	5
Done	0	2	2
Total	619	8	627

Accuracy

100.0%

Counts

627 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.3%	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
✓	64.1%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	72.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	38.8%	#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

Compiler

Compiled 132 to 87 computations (34.1% saved)

simplify230.0ms (3.5%)

Memory

-4.0MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(*.f64 eps x)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
cost-diff	320	(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
cost-diff	0	(+.f64 eps x)
cost-diff	0	(*.f64 (+.f64 eps x) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
cost-diff	192	(fma.f64 x eps (*.f64 (+.f64 eps x) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	23	67
1	40	67
2	75	67
3	137	67
4	321	63
5	892	63
6	2745	63
7	4305	63
8	5986	63
9	6802	63
10	7145	63
11	7323	63
12	7325	63
13	7325	63
14	7958	63
0	8022	57

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
x
eps
(*.f64 (+.f64 eps x) eps)
(+.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(*.f64 eps x)
eps
x
#s(literal 2 binary64)
(*.f64 eps eps)

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
x
eps
(*.f64 (+.f64 eps x) eps)
(+.f64 eps x)
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
eps
x
#s(literal 2 binary64)
(*.f64 eps eps)

localize57.0ms (0.9%)

Memory

14.6MiB live, 88.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 eps x)
accuracy	0	(*.f64 eps eps)
accuracy	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
accuracy	0.0234375	(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
accuracy	0	(+.f64 eps x)
accuracy	0	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
accuracy	0.00390625	(*.f64 (+.f64 eps x) eps)
accuracy	0.015625	(fma.f64 x eps (*.f64 (+.f64 eps x) eps))

Samples

22.0ms	77×	1	valid
18.0ms	166×	0	valid
4.0ms	13×	2	valid

Compiler

Compiled 128 to 33 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 14.0ms (43.4% of total)

ival-pow2: 7.0ms (21.7% of total)

ival-add: 6.0ms (18.6% of total)

adjust: 3.0ms (9.3% of total)

ival-sub: 2.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-4.5MiB live, 30.6MiB allocated

Counts

8 → 180

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf eps) (#s(alt #<batchref> (patch (*.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 x eps (*.f64 (+.f64 eps x) eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 (+.f64 eps x) eps) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (+.f64 eps x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf eps) (#s(alt #<batchref> (patch (*.f64 eps x) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	((+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps))
1.0ms	eps	@	-inf	((+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps))
1.0ms	eps	@	inf	((+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps))
1.0ms	x	@	-inf	((+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps))
1.0ms	x	@	inf	((+ (* x eps) (* (+ eps x) eps)) (- (pow (+ x eps) 2) (pow x 2)) (* (+ eps x) eps) (+ eps x) (+ (* (* eps x) 2) (* eps eps)) (- (pow (+ x eps) 2) (pow x 2)) (* eps x) (* eps eps))

simplify141.0ms (2.2%)

Memory

-8.1MiB live, 115.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	876
1	158	876
2	384	876
3	1020	876
4	2583	876
5	4048	876
6	6157	876
7	7640	876
0	8011	804

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 174

Calls

Call 1

Inputs
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps x)
(* eps (+ eps x))
(* eps (+ eps x))
(* eps (+ eps x))
x
(+ eps x)
(+ eps x)
(+ eps x)
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* 2 (* eps x))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps (+ eps (* 2 x)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
(* (pow eps 2) (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
(+ (* eps x) (pow eps 2))
eps
(+ eps x)
(+ eps x)
(+ eps x)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* eps x)
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
(* x (+ eps (/ (pow eps 2) x)))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* 2 (* eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* 2 (* eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(* eps x)
(* eps x)
(* eps x)
(* eps x)

Outputs
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
(*.f64 (+.f64 eps x) eps)
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 eps x) #s(literal 2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)
(*.f64 eps x)

rewrite295.0ms (4.5%)

Memory

17.0MiB live, 332.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
0	23	62
1	108	62
2	864	62
0	8667	58

Stop Event

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

Counts

8 → 405

Calls

Call 1

Inputs
(fma.f64 x eps (*.f64 (+.f64 eps x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
(*.f64 (+.f64 eps x) eps)
(+.f64 eps x)
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
(*.f64 eps x)
(*.f64 eps eps)

Outputs
#<batchref>
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eval66.0ms (1%)

Memory: 2.5MiB live, 162.9MiB allocated
Compiler: Compiled 17 021 to 1 123 computations (93.4% saved)

prune21.0ms (0.3%)

Memory

-34.1MiB live, 50.6MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	579	0	579
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	579	8	587

Accuracy

100.0%

Counts

587 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.3%	(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
✓	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
✓	64.1%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	72.9%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
✓	38.8%	#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

Compiler

Compiled 366 to 143 computations (60.9% saved)

regimes14.0ms (0.2%)

Memory

25.5MiB live, 25.5MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) (*.f64 eps x)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)))
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) eps (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (+.f64 eps x) x (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 eps (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (fma.f64 (+.f64 eps x) x (.f64 (neg.f64 x) x)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))

Calls

3 calls:

5.0ms	eps
5.0ms	x
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes10.0ms (0.2%)

Memory

-20.9MiB live, 17.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))

Calls

3 calls:

5.0ms	eps
3.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps x) #s(literal 2 binary64)))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
93.6%	3	`x`
88.8%	3	`eps`
97.8%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))

Outputs
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
76.3%	1	`eps`
76.3%	1	`x`
76.3%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-27.2MiB live, 10.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Calls

3 calls:

3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
2.0ms	x
2.0ms	eps

Results

Accuracy	Segments	Branch
72.9%	1	`x`
72.9%	1	`eps`
72.9%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

Outputs
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
38.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
38.8%	1	`eps`
38.8%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	7.412351036e-314

Compiler

Compiled 12 to 12 computations (0% saved)

simplify24.0ms (0.4%)

Memory

9.5MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	127
1	44	127
2	48	127
3	50	127
4	51	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 x eps (*.f64 (+.f64 eps x) eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (+.f64 (+.f64 eps x) x) eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) eps) x)) (fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64))))
(fma.f64 (+.f64 eps x) eps #s(approx (+ (* (+ eps x) x) (* (neg x) x)) #s(literal 0 binary64)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
#s(approx (+ (* (+ eps x) eps) (+ (* (+ eps x) x) (* (neg x) x))) #s(literal 0 binary64))

soundness1.2s (17.8%)

Memory

-25.4MiB live, 621.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	438
1	214	438
2	570	438
3	1803	438
4	4151	438
5	7220	438
0	8070	390
0	82	1560
1	267	1552
2	786	1552
3	2425	1552
4	6338	1552
0	8055	1409
0	28	138
0	38	128
1	167	119
2	1340	119
0	8097	116
0	23	118
0	39	112
1	173	99
2	1529	99
0	8196	99
0	7	20
0	11	20
1	52	20
2	371	20
3	5109	20
0	8219	20

Stop Event

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

Compiler

Compiled 281 to 141 computations (49.8% saved)

preprocess127.0ms (1.9%)

Memory: 19.9MiB live, 103.1MiB allocated
Compiler: Compiled 272 to 86 computations (68.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (17.6%)

explain106.0ms (1.6%)

preprocess368.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify216.0ms (3.3%)

localize43.0ms (0.7%)

series7.0ms (0.1%)

simplify146.0ms (2.2%)

rewrite160.0ms (2.4%)

eval54.0ms (0.8%)

prune13.0ms (0.2%)

simplify301.0ms (4.6%)

localize167.0ms (2.6%)

series57.0ms (0.9%)

simplify162.0ms (2.5%)

rewrite225.0ms (3.4%)

eval283.0ms (4.3%)

prune48.0ms (0.7%)

simplify245.0ms (3.7%)

localize133.0ms (2%)

series21.0ms (0.3%)

simplify120.0ms (1.8%)

rewrite173.0ms (2.6%)

eval75.0ms (1.1%)

prune69.0ms (1.1%)

simplify230.0ms (3.5%)

localize57.0ms (0.9%)

series15.0ms (0.2%)

simplify141.0ms (2.2%)

rewrite295.0ms (4.5%)

eval66.0ms (1%)

prune21.0ms (0.3%)

regimes14.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify24.0ms (0.4%)

soundness1.2s (17.8%)

preprocess127.0ms (1.9%)

end0.0ms (0%)

Profiling