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)

sample1.5s (33.4%)

Memory

-93.6MiB live, 1 285.9MiB allocated

Samples

481.0ms	5 243×	0	valid
358.0ms	2 506×	1	valid
98.0ms	507×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 677.0ms

ival-pow2: 268.0ms (39.6% of total)

ival-<=: 120.0ms (17.7% of total)

ival-add: 101.0ms (14.9% of total)

adjust: 87.0ms (12.8% of total)

ival-sub: 60.0ms (8.9% of total)

ival-and: 21.0ms (3.1% of total)

exact: 16.0ms (2.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain106.0ms (2.3%)

Memory

-32.7MiB live, 174.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
92	1	(-4.818034754276629e-17 2.690272721164148e-307)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	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	93	0

Confusion

	Predicted +	Predicted -
+	92	0
-	1	163

Precision

0.989247311827957

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	92	0	0
-	1	0	163

Precision?

0.989247311827957

Recall?

1.0

Freqs

test

number	freq
0	163
1	93

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms	170×	1	valid
19.0ms	300×	0	valid
7.0ms	42×	2	valid

Compiler

Compiled 61 to 25 computations (59% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-pow2: 16.0ms (55% of total)

adjust: 4.0ms (13.8% of total)

ival-add: 4.0ms (13.8% of total)

ival-sub: 3.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess406.0ms (8.8%)

Memory

20.1MiB live, 251.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 770×	`lower-fma.f64`
18 770×	`lower-fma.f32`
2 836×	`lower-*.f64`
2 836×	`lower-*.f32`
2 498×	`lower-+.f32`

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify259.0ms (5.6%)

Memory

-9.0MiB live, 232.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x eps)
cost-diff	512	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
cost-diff	5952	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Rules

18 770×	`lower-fma.f64`
18 770×	`lower-fma.f32`
2 836×	`lower-*.f64`
2 836×	`lower-*.f32`
2 498×	`lower-+.f32`

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

localize30.0ms (0.7%)

Memory

11.6MiB live, 48.7MiB 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	0.0234375	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
accuracy	19.393605265170216	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Samples

11.0ms	150×	0	valid
10.0ms	85×	1	valid
3.0ms	21×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-pow2: 7.0ms (43.4% of total)

ival-add: 5.0ms (31% of total)

adjust: 2.0ms (12.4% of total)

ival-sub: 2.0ms (12.4% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt (pow x 2) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow x 2)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ eps (* 2 x))) (pow x 2)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ eps (* 2 x))) (pow x 2)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (/ x eps))) (taylor inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps)))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -1 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 eps))) (pow eps 2)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ x (* 2 eps))) (pow eps 2)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps x) (taylor 0 x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ eps x))) (taylor inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ eps x)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x)))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 1))) (taylor -inf x) (#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify125.0ms (2.7%)

Memory

-3.4MiB live, 120.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 222×	`lower-fma.f64`
9 222×	`lower-fma.f32`
3 242×	`lower-*.f64`
3 242×	`lower-*.f32`
1 646×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	438
1	214	438
2	574	438
3	1792	438
4	4103	438
5	7174	438
0	8012	390

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

Outputs
(pow x 2)
(*.f64 x x)
(+ (* 2 (* eps x)) (pow x 2))
(*.f64 (fma.f64 eps #s(literal 2 binary64) x) x)
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(+ (* eps (+ eps (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* 2 (* eps x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) eps))) eps))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(+ (* x (+ x (* 2 eps))) (pow eps 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(+ (* x (+ x (* 2 eps))) (pow eps 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(*.f64 (fma.f64 eps #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ (pow eps 2) (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* 2 (* eps x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ eps x))))
(*.f64 (fma.f64 eps #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 (/ (pow eps 2) x))) x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x eps) eps (*.f64 x x))
(* 2 (* eps x))
(.f64 (.f64 eps #s(literal 2 binary64)) x)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)

rewrite217.0ms (4.7%)

Memory

12.0MiB live, 203.8MiB allocated

Rules

5 048×	`lower-fma.f64`
5 048×	`lower-fma.f32`
4 066×	`lower-*.f64`
4 066×	`lower-*.f32`
2 090×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	52	20
2	371	20
3	5107	20
0	8219	20

Stop Event

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

Counts

4 → 371

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 eps x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 eps x)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 x eps)))))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (fma.f64 (+.f64 eps x) eps (.f64 x x)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)))) (-.f64 (.f64 x x) (*.f64 (-.f64 eps x) eps)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 (.f64 (-.f64 eps x) eps) (.f64 (-.f64 eps x) eps)) (.f64 (-.f64 eps x) eps)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))
(.f64 (.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)))
(.f64 (.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)))
(.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x eps) (-.f64 x eps))))
(.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 (+.f64 eps x) (-.f64 x eps)))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (-.f64 x eps))))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (+.f64 eps x)))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 (+.f64 eps x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (+.f64 eps x)))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (+.f64 eps x)))
(pow.f64 (/.f64 (-.f64 x eps) (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (*.f64 x x) x)) (+.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 x eps) (-.f64 x eps)) (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (+.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal -2 binary64))
(pow.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (+.f64 eps x) (+.f64 eps x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 eps x))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (-.f64 x eps)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 x eps))))
(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (+.f64 eps x)) (-.f64 eps x))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x)) (neg.f64 (-.f64 x eps)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (+.f64 eps x)) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (+.f64 eps x) (.f64 (+.f64 eps x) (-.f64 eps x))) (-.f64 eps x))
(/.f64 (.f64 (+.f64 eps x) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (-.f64 x eps)))
(/.f64 (.f64 (+.f64 eps x) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 (.f64 (+.f64 eps x) x) x) (+.f64 eps x))) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 eps x) x) x) (+.f64 eps x)) (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps))) (-.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps)))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (+.f64 eps x) eps) (.f64 (.f64 (+.f64 eps x) x) (.f64 (.f64 (.f64 (+.f64 eps x) x) x) (+.f64 eps x)))) (fma.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps) (-.f64 (.f64 (.f64 (.f64 (+.f64 eps x) x) x) (+.f64 eps x)) (.f64 (.f64 (+.f64 eps x) eps) (*.f64 (+.f64 eps x) x)))))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) x) (.f64 (.f64 (.f64 (+.f64 eps x) x) x) (+.f64 eps x)) (.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (+.f64 eps x) eps))) (fma.f64 (.f64 (.f64 (+.f64 eps x) x) x) (+.f64 eps x) (-.f64 (.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) eps)) (.f64 (.f64 (+.f64 eps x) x) (*.f64 (+.f64 eps x) eps)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x))) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (.f64 (-.f64 x eps) (-.f64 x eps))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (neg.f64 (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (neg.f64 (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (-.f64 eps x) (-.f64 eps x)))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (.f64 (-.f64 eps x) (neg.f64 (-.f64 x eps))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (.f64 (-.f64 eps x) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) #s(literal 1 binary64)) (*.f64 (-.f64 eps x) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 eps x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (neg.f64 (-.f64 x eps)) (-.f64 eps x)))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (-.f64 x eps))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (.f64 (neg.f64 (-.f64 x eps)) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (neg.f64 (-.f64 x eps)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (-.f64 eps x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (neg.f64 (-.f64 x eps))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))) (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 eps x) (-.f64 eps x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (-.f64 eps x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (-.f64 x eps) (-.f64 eps x)))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (.f64 (-.f64 x eps) (neg.f64 (-.f64 x eps))))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (.f64 (-.f64 x eps) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 1 binary64)) (*.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (+.f64 eps x) (-.f64 eps x))) (.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (-.f64 eps x)))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)) (neg.f64 (-.f64 x eps))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (-.f64 eps x) (-.f64 x eps)))
(/.f64 (.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x))) (-.f64 x eps)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x eps) (+.f64 eps x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (*.f64 x x) x)) (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x eps) (-.f64 x eps)) (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (+.f64 eps x) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(fma.f64 (.f64 eps (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (.f64 (+.f64 eps x) x))
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (+.f64 eps x) x))
(fma.f64 (.f64 x (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (+.f64 eps x) eps))
(fma.f64 (.f64 eps (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 eps x) x))
(fma.f64 (.f64 x (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (+.f64 eps x) eps))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) x) (sqrt.f64 (+.f64 eps x)) (.f64 (+.f64 eps x) eps))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 eps x)) (sqrt.f64 x) (.f64 (+.f64 eps x) eps))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (*.f64 (+.f64 eps x) eps))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) eps) (.f64 (+.f64 eps x) x))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) x) (.f64 (+.f64 eps x) eps))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 eps x)) (.f64 (+.f64 eps x) eps))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) (*.f64 (+.f64 eps x) eps))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) eps) (*.f64 (+.f64 eps x) x))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) x) (.f64 (+.f64 eps x) eps))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) eps) (.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) eps (*.f64 (+.f64 eps x) x))
(fma.f64 (+.f64 eps x) x (*.f64 (+.f64 eps x) eps))
(fma.f64 eps (+.f64 eps x) (*.f64 (+.f64 eps x) x))
(fma.f64 x (+.f64 eps x) (*.f64 (+.f64 eps x) eps))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (+.f64 eps x))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 eps x))) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(+.f64 (.f64 (+.f64 eps x) eps) (.f64 (+.f64 eps x) x))
(+.f64 (.f64 (+.f64 eps x) x) (.f64 (+.f64 eps x) eps))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x))) (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x)))))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x))) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x))))))
(*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))
(*.f64 (+.f64 (+.f64 eps x) x) (-.f64 (+.f64 eps x) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))))
(.f64 (.f64 (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)))
(.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (/.f64 (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))
(.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (/.f64 (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))))
(.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (.f64 (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (*.f64 x x) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 18 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (/.f64 (+.f64 eps x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x)))) (-.f64 (.f64 (neg.f64 x) x) (.f64 (+.f64 eps x) (+.f64 eps x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) #s(literal 3 binary64)) (.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) #s(literal 2 binary64)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 18 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x))) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 18 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x)))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (*.f64 x x) x)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (.f64 x x) x) x))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (*.f64 x x) x)))))
(/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (neg.f64 x) x) (.f64 (+.f64 eps x) (+.f64 eps x))))))
(/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x)))))
(neg.f64 (/.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x)) (neg.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 eps x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 eps x)))) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 x eps) (+.f64 eps x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (-.f64 x eps)))) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))))) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (fma.f64 (+.f64 eps x) eps (.f64 x x)) (.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 (.f64 (-.f64 eps x) eps) (.f64 (-.f64 eps x) eps)) (.f64 (-.f64 eps x) eps)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (neg.f64 x) x))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (.f64 (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x))) (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))) (fma.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)) (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x)))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))))
(fma.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) x)) (-.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x))))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(fma.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (+.f64 (+.f64 eps x) x)) (-.f64 (+.f64 eps x) x))) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(fma.f64 (.f64 eps (sqrt.f64 (+.f64 eps x))) (sqrt.f64 (+.f64 eps x)) (-.f64 (.f64 (+.f64 eps x) x) (*.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)))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (-.f64 (.f64 (+.f64 eps x) x) (*.f64 x x)))
(fma.f64 (.f64 eps (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (fma.f64 (+.f64 eps x) x (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 x (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (.f64 x (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 eps (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 (.f64 (+.f64 eps x) x) (.f64 x x)))
(fma.f64 (.f64 eps (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 x (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 (.f64 x (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) x) (sqrt.f64 (+.f64 eps x)) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) x) (sqrt.f64 (+.f64 eps x)) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 eps x)) (sqrt.f64 x) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (.f64 (sqrt.f64 x) (+.f64 eps x)) (sqrt.f64 x) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 x)) (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) eps) (-.f64 (.f64 (+.f64 eps x) x) (*.f64 x x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) eps) (fma.f64 (+.f64 eps x) x (.f64 (neg.f64 x) x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) x) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) x) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (.f64 (sqrt.f64 (+.f64 eps x)) (+.f64 eps x)) (.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (neg.f64 x)) (.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 eps x)) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x eps) (-.f64 x eps))) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (/.f64 (+.f64 eps x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 (+.f64 eps x) (-.f64 x eps)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (-.f64 x eps))) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (+.f64 eps x)) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) eps) (-.f64 (.f64 (+.f64 eps x) x) (.f64 x x)))
(fma.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) eps) (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (/.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))))
(fma.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 (+.f64 eps x) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (-.f64 x eps) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (+.f64 eps x)) (.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) x) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) x) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) eps) (-.f64 (.f64 (+.f64 eps x) x) (*.f64 x x)))
(fma.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) eps) (fma.f64 (+.f64 eps x) x (.f64 (neg.f64 x) x)))
(fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (*.f64 x x))))))
(fma.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (/.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(fma.f64 (+.f64 eps x) (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x x)))))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 eps x) eps (-.f64 (.f64 (+.f64 eps x) x) (.f64 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 (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 (+.f64 eps x) x (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
(fma.f64 eps (+.f64 eps x) (-.f64 (.f64 (+.f64 eps x) x) (.f64 x x)))
(fma.f64 eps (+.f64 eps x) (fma.f64 (+.f64 eps x) x (*.f64 (neg.f64 x) x)))
(fma.f64 (.f64 x x) #s(literal -1 binary64) (.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 x (neg.f64 x) (*.f64 (+.f64 eps x) (+.f64 eps x)))
(fma.f64 x (+.f64 eps x) (-.f64 (.f64 (+.f64 eps x) eps) (.f64 x x)))
(fma.f64 x (+.f64 eps x) (fma.f64 (+.f64 eps x) eps (*.f64 (neg.f64 x) x)))
(-.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) #s(literal 0 binary64)) (*.f64 x x))
(-.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 (+.f64 eps x) (+.f64 eps x))))
(-.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 x x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 eps x) x) (+.f64 (+.f64 eps x) x)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) eps)) (.f64 (+.f64 eps x) x))
(+.f64 (fma.f64 (neg.f64 x) x (.f64 (+.f64 eps x) x)) (.f64 (+.f64 eps x) eps))
(+.f64 (.f64 (+.f64 eps x) eps) (-.f64 (.f64 (+.f64 eps x) x) (*.f64 x x)))
(+.f64 (.f64 (+.f64 eps x) eps) (fma.f64 (+.f64 eps x) x (.f64 (neg.f64 x) x)))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (.f64 (+.f64 eps x) (+.f64 eps x))) (+.f64 eps x)) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 (.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (+.f64 eps x)) (+.f64 eps x) (.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (.f64 x x)) (.f64 x x))))))
(+.f64 (.f64 (+.f64 eps x) x) (-.f64 (.f64 (+.f64 eps x) eps) (*.f64 x x)))
(+.f64 (.f64 (+.f64 eps x) x) (fma.f64 (+.f64 eps x) eps (.f64 (neg.f64 x) x)))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (+.f64 eps x) (+.f64 eps x)))
(+.f64 (.f64 (+.f64 eps x) (+.f64 eps x)) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (fma.f64 (+.f64 eps x) eps (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)))) (-.f64 (.f64 x x) (.f64 (-.f64 eps x) eps)))
(.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x (.f64 (.f64 (.f64 (-.f64 eps x) eps) (.f64 (-.f64 eps x) eps)) (.f64 (-.f64 eps x) eps)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (/.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (*.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x))
(.f64 (pow.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (pow.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(*.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)))
(.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (-.f64 x eps) (+.f64 eps x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (fma.f64 (.f64 eps eps) eps (.f64 (*.f64 x x) x)))
(.f64 (neg.f64 (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 eps x) eps (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (/.f64 (+.f64 eps x) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (+.f64 eps x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(*.f64 (+.f64 eps x) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(.f64 (+.f64 eps x) (.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 eps eps (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps)))) (.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 x (/.f64 x (-.f64 x eps)) (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps)))) (.f64 x (/.f64 x (-.f64 x eps)))) (.f64 (.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps)))) (.f64 eps (/.f64 eps (-.f64 x eps))))) (fma.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps))) (fma.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 (.f64 (-.f64 x eps) (+.f64 eps x)) #s(literal 1 binary64)) (-.f64 x eps))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x)) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (-.f64 x eps) (+.f64 eps x))) #s(literal 1 binary64)) (.f64 (fma.f64 eps eps (.f64 x x)) (-.f64 x eps)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)))) (exp.f64 (log.f64 (-.f64 x eps))))
(/.f64 (exp.f64 (log.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)))) (exp.f64 (log.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(/.f64 (.f64 (fma.f64 eps eps (.f64 x x)) (.f64 (-.f64 x eps) (+.f64 eps x))) (.f64 (-.f64 x eps) (fma.f64 eps eps (*.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))))
(/.f64 (.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (.f64 (-.f64 x eps) (fma.f64 (.f64 eps eps) (fma.f64 eps eps (.f64 x x)) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 eps x))) (-.f64 x eps)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x))) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (neg.f64 (-.f64 x eps))))
(neg.f64 (/.f64 (fma.f64 (.f64 eps eps) eps (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 (+.f64 eps x) eps (.f64 x x)) (-.f64 x eps))) (fma.f64 (+.f64 eps x) eps (.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(sqrt.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 eps x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 eps x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (+.f64 eps x)))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(+.f64 eps x)
(+.f64 x eps)

eval84.0ms (1.8%)

Memory: -25.3MiB live, 88.4MiB allocated
Compiler: Compiled 14 368 to 1 135 computations (92.1% saved)

prune60.0ms (1.3%)

Memory

35.3MiB live, 110.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	446	3	449
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	3	450

Accuracy

100.0%

Counts

450 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
▶	64.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
▶	66.7%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Status

Accuracy

Program

▶

100.0%

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

▶

64.4%

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

▶

66.7%

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify186.0ms (4%)

Memory

-7.6MiB live, 157.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
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))
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	128	(*.f64 eps #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))

Rules

18 770×	`lower-fma.f32`
18 768×	`lower-fma.f64`
2 836×	`lower-*.f32`
2 828×	`lower-*.f64`
2 498×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	15	72
0	21	72
1	32	72
2	62	72
3	115	69
4	259	63
5	828	63
6	2356	63
7	4273	63
8	5919	63
9	6926	63
10	7348	63
11	7616	63
12	7622	63
13	7622	63
0	8057	63

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 eps eps))
(*.f64 eps eps)
eps
#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
#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

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

localize80.0ms (1.7%)

Memory

-15.4MiB live, 73.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
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	0.0078125	(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
accuracy	0	(.f64 (.f64 eps #s(literal 2 binary64)) x)
accuracy	0	(*.f64 eps #s(literal 2 binary64))
accuracy	22.758038585880637	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
accuracy	0	(*.f64 eps eps)
accuracy	21.280775557670328	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Samples

51.0ms	85×	1	valid
15.0ms	150×	0	valid
5.0ms	21×	2	valid

Compiler

Compiled 59 to 15 computations (74.6% saved)

Precisions

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

adjust: 9.0ms (29.3% of total)

ival-mult: 9.0ms (29.3% of total)

ival-pow2: 7.0ms (22.8% of total)

ival-add: 4.0ms (13% of total)

ival-sub: 2.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

8 → 168

Calls

Call 1

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

Outputs
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor 0 eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps (* 2 x)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps (* 2 x)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps (* 2 x)) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 eps) (taylor -inf eps) (#s(alt (.f64 eps #s(literal 2 binary64)) (patch (.f64 eps #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf eps) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor -inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -2 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -2 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* eps (- (* -2 (/ x eps)) 1))) (taylor -inf eps) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt eps (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (+ eps (* 2 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ eps x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ eps x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (/ eps x))) (taylor inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 eps #s(literal 2 binary64)) x) (patch (.f64 (.f64 eps #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (patch #s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (patch (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ eps x)) 2))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 2 binary64) x eps) (patch (fma.f64 #s(literal 2 binary64) x eps) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify111.0ms (2.4%)

Memory

-32.8MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 690×	`lower-*.f64`
4 690×	`lower-*.f32`
2 808×	`lower-fma.f64`
2 808×	`lower-fma.f32`
1 154×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	894
1	121	894
2	287	894
3	746	894
4	1882	894
5	3584	894
6	5310	894
7	6369	894
8	6953	894
0	8108	804

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 165

Calls

Call 1

Inputs
(* 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)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 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 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))
(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)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 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))
(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)
(* 2 eps)
(* 2 eps)
(* 2 eps)
(* 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))
(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)
(+ (* 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))
(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))
(* 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))
(* 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))
(* -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))
(* 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)))

Outputs
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ eps (* 2 x))
(fma.f64 x #s(literal 2 binary64) eps)
(+ eps (* 2 x))
(fma.f64 x #s(literal 2 binary64) eps)
(+ eps (* 2 x))
(fma.f64 x #s(literal 2 binary64) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
eps
(* eps (+ 1 (* 2 (/ x eps))))
(fma.f64 x #s(literal 2 binary64) eps)
(* eps (+ 1 (* 2 (/ x eps))))
(fma.f64 x #s(literal 2 binary64) eps)
(* eps (+ 1 (* 2 (/ x eps))))
(fma.f64 x #s(literal 2 binary64) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(* 2 eps)
(*.f64 eps #s(literal 2 binary64))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 x #s(literal 2 binary64) eps)
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 x #s(literal 2 binary64) eps)
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 x #s(literal 2 binary64) eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
eps
(+ eps (* 2 x))
(fma.f64 x #s(literal 2 binary64) eps)
(+ eps (* 2 x))
(fma.f64 x #s(literal 2 binary64) eps)
(+ eps (* 2 x))
(fma.f64 x #s(literal 2 binary64) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ eps x)))
(fma.f64 x #s(literal 2 binary64) eps)
(* x (+ 2 (/ eps x)))
(fma.f64 x #s(literal 2 binary64) eps)
(* x (+ 2 (/ eps x)))
(fma.f64 x #s(literal 2 binary64) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(fma.f64 x #s(literal 2 binary64) eps)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(fma.f64 x #s(literal 2 binary64) eps)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(fma.f64 x #s(literal 2 binary64) eps)

rewrite184.0ms (4%)

Memory

11.9MiB live, 161.0MiB allocated

Rules

7 378×	`lower-fma.f32`
7 376×	`lower-fma.f64`
4 498×	`lower-*.f32`
4 490×	`lower-*.f64`
2 820×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	65
0	21	65
1	78	65
2	521	65
3	6664	65
0	8223	65

Stop Event

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

Counts

8 → 132

Calls

Call 1

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

Outputs
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) eps)
(*.f64 eps #s(literal 2 binary64))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) eps)))
(.f64 (.f64 eps x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) eps)
(.f64 (.f64 #s(literal 2 binary64) eps) x)
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) eps) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) eps) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (-.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x) (.f64 (.f64 eps eps) eps))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(.f64 (/.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) eps) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))
(.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) eps))
(.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (/.f64 eps (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))
(.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))) eps))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 (fma.f64 eps eps (.f64 #s(literal -4 binary64) (.f64 x x))) eps) (-.f64 eps (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x)))) eps) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps))) eps) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 (*.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (.f64 eps (fma.f64 eps eps (.f64 #s(literal -4 binary64) (.f64 x x)))) (-.f64 eps (.f64 #s(literal 2 binary64) x)))
(/.f64 (.f64 eps (neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (.f64 eps (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 (*.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) eps) eps) (.f64 (.f64 (.f64 eps eps) eps) eps)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) eps) eps (-.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) #s(literal 8 binary64))) (fma.f64 (.f64 (.f64 eps eps) eps) eps (-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) eps) eps) (.f64 (.f64 (.f64 (.f64 eps eps) eps) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) eps)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) eps)) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) eps) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))
(/.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) eps) (-.f64 (.f64 #s(literal 2 binary64) x) eps))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) eps)))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps eps))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) eps)) (*.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) x) eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 #s(literal 2 binary64) x) eps))
(.f64 (/.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x) (.f64 (.f64 eps eps) eps))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (fma.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (-.f64 (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (fma.f64 eps eps (.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 eps (.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))) (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)))
(.f64 (neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (/.f64 (fma.f64 #s(literal 2 binary64) x eps) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))))
(.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))
(.f64 (fma.f64 #s(literal 2 binary64) x eps) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(.f64 (fma.f64 #s(literal 2 binary64) x eps) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 eps eps) eps) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps eps)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x) (.f64 (.f64 eps eps) eps)))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) (.f64 (.f64 eps eps) eps))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))) (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x)) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) x))))
(/.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) eps))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps)))) (.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))))) (fma.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (fma.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))))
(/.f64 (neg.f64 (fma.f64 eps eps (.f64 #s(literal -4 binary64) (.f64 x x)))) (neg.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 eps eps) eps) eps)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps)) (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x) (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) (.f64 (.f64 eps eps) eps))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x)) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (.f64 eps eps))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (-.f64 (.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps eps))))
(/.f64 (fma.f64 eps eps (.f64 #s(literal -4 binary64) (.f64 x x))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) x) eps) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))))))
(/.f64 (-.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x) (.f64 (.f64 eps eps) eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (fma.f64 #s(literal 512 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps eps)) (.f64 (.f64 eps eps) eps))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) eps)) (fma.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x)) (.f64 #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) x)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (.f64 #s(literal 2 binary64) x)) (fma.f64 eps eps (.f64 #s(literal -4 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(/.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x (.f64 (.f64 eps eps) eps)) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (.f64 (-.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 8 binary64) (.f64 x x)) x) (.f64 (.f64 eps eps) eps))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 (neg.f64 eps) eps (.f64 #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 2 binary64) x eps) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) eps)
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (.f64 #s(literal 2 binary64) x) (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x (/.f64 (.f64 #s(literal 4 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))))
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 eps (*.f64 #s(literal 2 binary64) x))))
(-.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 2 binary64) x) eps))) (neg.f64 (.f64 eps (/.f64 eps (-.f64 (*.f64 #s(literal 2 binary64) x) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))

eval46.0ms (1%)

Memory: 17.7MiB live, 62.6MiB allocated
Compiler: Compiled 4 411 to 385 computations (91.3% saved)

prune27.0ms (0.6%)

Memory

9.9MiB live, 46.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	296	4	300

Accuracy

100.0%

Counts

300 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))
✓	64.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	66.7%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 34 to 19 computations (44.1% saved)

simplify192.0ms (4.2%)

Memory

4.0MiB live, 160.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 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))

Rules

18 770×	`lower-fma.f32`
18 768×	`lower-fma.f64`
2 836×	`lower-*.f32`
2 832×	`lower-*.f64`
2 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
0	15	35
1	25	33
2	56	33
3	112	33
4	255	31
5	820	31
6	2344	31
7	4277	31
8	5913	31
9	6906	31
10	7332	31
11	7600	31
12	7606	31
13	7606	31
0	8041	28

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

localize43.0ms (0.9%)

Memory

-3.3MiB live, 68.2MiB allocated

Localize:

Found 4 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	0.01953125	(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))

Samples

16.0ms	150×	0	valid
16.0ms	85×	1	valid
4.0ms	21×	2	valid

Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions

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

ival-pow2: 7.0ms (30.4% of total)

ival-mult: 6.0ms (26.1% of total)

adjust: 5.0ms (21.7% of total)

ival-add: 4.0ms (17.4% of total)

ival-sub: 2.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

4 → 84

Calls

Call 1

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

Outputs
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps (+ eps (* 2 x))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps x) (taylor 0 eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor 0 eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor 0 eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor 0 eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps x) (taylor inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* (pow eps 2) (+ 1 (* 2 (/ x eps)))) (taylor -inf eps) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps x) (taylor -inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor -inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor -inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor -inf eps) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor -inf eps) (#s(alt (.f64 eps eps) (patch (.f64 eps eps) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (pow eps 2) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (+ (* 2 (* eps x)) (pow eps 2)) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps x) (taylor 0 x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor 0 x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor 0 x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor 0 x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* x (+ (* 2 eps) (/ (pow eps 2) x))) (taylor inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps x) (taylor inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) (patch (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* eps x)) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x))))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 2) (pow x 2)) (fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))) (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 (* eps x) (taylor -inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor -inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor -inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())
#s(alt (* eps x) (taylor -inf x) (#s(alt (.f64 eps x) (patch (.f64 eps x) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify129.0ms (2.8%)

Memory

-13.8MiB live, 87.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 314×	`lower-fma.f64`
4 314×	`lower-fma.f32`
3 424×	`lower-*.f64`
3 424×	`lower-*.f32`
1 468×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	408
1	76	408
2	189	408
3	450	408
4	1284	408
5	2340	408
6	4430	408
7	7001	408
0	8156	372

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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 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))))
(* 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))))
(* 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))
(* 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)
(* 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)
(* eps x)
(* eps x)
(* eps x)

Outputs
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps (+ eps (* 2 x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* 2 (* eps x))
(.f64 (.f64 x eps) #s(literal 2 binary64))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) eps) eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)

rewrite235.0ms (5.1%)

Memory

-18.6MiB live, 170.5MiB allocated

Rules

8 850×	`lower-fma.f32`
8 848×	`lower-fma.f64`
5 012×	`lower-*.f32`
5 008×	`lower-*.f64`
2 844×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	15	32
1	73	30
2	544	30
3	7010	30
0	8657	28

Stop Event

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

Counts

4 → 103

Calls

Call 1

Inputs
(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
(.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x (.f64 (.f64 eps eps) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))))
(.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))))))
(.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps))) #s(literal 64 binary64) (.f64 (.f64 (.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 eps eps)) (.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 eps eps))) (.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 eps eps))))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 x x) eps) eps) (.f64 (.f64 (.f64 x x) eps) eps)) (.f64 (.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 eps eps)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 x eps)) eps) x)))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) eps) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))))
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 eps eps))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x))))) (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (*.f64 x x) x)))))
(.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)))))
(.f64 (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x)))))))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x)))))))
(.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (*.f64 eps eps))) eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 x x) eps) eps) (.f64 (.f64 (.f64 x x) eps) eps)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps eps))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps))) #s(literal 64 binary64)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))))) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (*.f64 eps eps))) #s(literal 64 binary64))))
(/.f64 (.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))) (.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) (/.f64 (.f64 x eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))))) (neg.f64 (.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))))) (neg.f64 (neg.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 x x) eps) eps) (.f64 (.f64 (.f64 x x) eps) eps)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))))) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps))) #s(literal 64 binary64)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps))) #s(literal 64 binary64))) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (.f64 (.f64 (.f64 eps eps) eps) eps))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(/.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps))) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 eps eps)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 (.f64 (.f64 x x) eps) eps) (.f64 (.f64 (.f64 x x) eps) eps)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (.f64 eps eps) (fma.f64 #s(literal 4 binary64) (.f64 x x) (*.f64 eps eps)))))))
(/.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps))) #s(literal 64 binary64)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (-.f64 (.f64 (.f64 (.f64 eps eps) eps) (.f64 (.f64 eps eps) eps)) (.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps))) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) eps) (.f64 eps eps)) (.f64 (.f64 (.f64 (.f64 x x) x) eps) (*.f64 eps eps))) #s(literal 64 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))) (neg.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)))
(/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))
(/.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x))))) (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps))) (.f64 (neg.f64 eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)))))
(neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) (fma.f64 (.f64 eps eps) eps (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)))) (neg.f64 (.f64 (.f64 eps eps) (fma.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 4 binary64) (.f64 x x)))))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (.f64 (.f64 eps eps) eps) (-.f64 (.f64 #s(literal 8 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 eps eps) eps)))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x (.f64 (.f64 eps eps) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (.f64 eps eps) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 eps eps)))) (.f64 (fma.f64 #s(literal 2 binary64) x eps) eps) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) eps) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 eps eps))
(fma.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) (/.f64 (.f64 x eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) x) eps) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) eps) (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) eps) eps) eps) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 #s(literal 4 binary64) eps) (/.f64 (.f64 (.f64 (.f64 x x) eps) eps) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 eps eps) eps) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) x) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 (.f64 x eps) eps) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (/.f64 eps eps) (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) x) (fma.f64 #s(literal 2 binary64) x (neg.f64 eps))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (.f64 #s(literal 2 binary64) (.f64 x eps)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) x) (/.f64 #s(literal 2 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) (/.f64 (.f64 x eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) (/.f64 (.f64 #s(literal 2 binary64) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 #s(literal 2 binary64) eps) x (.f64 eps eps))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) eps)) (*.f64 eps eps))
(fma.f64 (.f64 (.f64 (.f64 x x) eps) eps) (/.f64 #s(literal 4 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 (.f64 x x) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 #s(literal 2 binary64) x) eps (.f64 eps eps))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 eps eps) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 #s(literal 2 binary64) (.f64 x eps) (.f64 eps eps))
(fma.f64 (.f64 x eps) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 (.f64 x eps) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 x (.f64 #s(literal 2 binary64) eps) (.f64 eps eps))
(fma.f64 eps (/.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(fma.f64 eps (.f64 #s(literal 2 binary64) x) (.f64 eps eps))
(fma.f64 eps eps (.f64 #s(literal 2 binary64) (.f64 x eps)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 eps (-.f64 eps (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 eps (-.f64 eps (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 x eps)) eps) x) (.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps)) (neg.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (*.f64 (fma.f64 #s(literal 2 binary64) x (neg.f64 eps)) eps))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x eps)) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 #s(literal 2 binary64) (*.f64 x eps)))
#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 (fma.f64 #s(literal 2 binary64) x eps) eps))
(.f64 (.f64 eps (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) eps))
(*.f64 x eps)
(*.f64 eps x)
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))

eval21.0ms (0.4%)

Memory: 3.4MiB live, 38.8MiB allocated
Compiler: Compiled 4 475 to 297 computations (93.4% saved)

prune26.0ms (0.6%)

Memory

-4.8MiB live, 42.9MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	187	4	191

Accuracy

100.0%

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	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))
✓	64.4%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (.f64 (.f64 eps #s(literal 2 binary64)) x))
✓	66.7%	#s(approx (- (pow (+ x eps) 2) (pow x 2)) (*.f64 eps eps))

Compiler

Compiled 71 to 33 computations (53.5% saved)

regimes7.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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
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 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
#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 eps eps))

Calls

3 calls:

2.0ms	x
2.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
93.7%	3	`x`
86.2%	3	`eps`
96.6%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.2%)

Memory

-25.1MiB live, 11.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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:

5.0ms	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
66.7%	1	`eps`
66.7%	1	`x`
66.7%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	8.76543814e-316

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	69
1	28	69
2	32	69
3	34	69
4	35	69

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

soundness444.0ms (9.6%)

Memory

-13.6MiB live, 145.6MiB allocated

Rules

9 222×	`lower-fma.f64`
9 222×	`lower-fma.f32`
3 242×	`lower-*.f64`
3 242×	`lower-*.f32`
1 646×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	438
1	214	438
2	574	438
3	1792	438
4	4103	438
5	7174	438
0	8012	390

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 54 to 28 computations (48.1% saved)

preprocess25.0ms (0.5%)

Memory: 18.7MiB live, 57.1MiB allocated
Compiler: Compiled 92 to 44 computations (52.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (33.4%)

explain106.0ms (2.3%)

preprocess406.0ms (8.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify259.0ms (5.6%)

localize30.0ms (0.7%)

series6.0ms (0.1%)

simplify125.0ms (2.7%)

rewrite217.0ms (4.7%)

eval84.0ms (1.8%)

prune60.0ms (1.3%)

simplify186.0ms (4%)

localize80.0ms (1.7%)

series13.0ms (0.3%)

simplify111.0ms (2.4%)

rewrite184.0ms (4%)

eval46.0ms (1%)

prune27.0ms (0.6%)

simplify192.0ms (4.2%)

localize43.0ms (0.9%)

series6.0ms (0.1%)

simplify129.0ms (2.8%)

rewrite235.0ms (5.1%)

eval21.0ms (0.4%)

prune26.0ms (0.6%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness444.0ms (9.6%)

preprocess25.0ms (0.5%)

end0.0ms (0%)

Profiling