Metrics for ENA, Section 1.4, Exercise 4b, n=5

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 19 computations (24% saved)

sample1.4s (17.4%)

Memory

28.0MiB live, 1 763.5MiB allocated

Samples

693.0ms	6 680×	0	valid
252.0ms	1 298×	1	valid
63.0ms	278×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 784.0ms

ival-pow: 348.0ms (44.4% of total)

ival-add: 148.0ms (18.9% of total)

ival-<=: 129.0ms (16.5% of total)

adjust: 65.0ms (8.3% of total)

ival-sub: 49.0ms (6.2% of total)

ival-and: 22.0ms (2.8% of total)

exact: 20.0ms (2.6% of total)

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

Bogosity

explain106.0ms (1.4%)

Memory

-29.5MiB live, 170.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
39	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 5 binary64))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`#s(literal 5 binary64)`
0	-	-	`(pow.f64 x #s(literal 5 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`	cancellation	39	0

Confusion

	Predicted +	Predicted -
+	39	1
-	0	216

Precision

1.0

Recall

0.975

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	1
-	0	0	216

Precision?

1.0

Recall?

0.975

Freqs

test

number	freq
0	217
1	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	410×	0	valid
14.0ms	90×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-pow: 26.0ms (70.9% of total)

ival-add: 4.0ms (10.9% of total)

adjust: 3.0ms (8.2% of total)

ival-sub: 3.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess28.0ms (0.4%)

Memory

28.3MiB live, 28.3MiB allocated

Algorithm

1×	egg-herbie

Rules

120×	`sub-neg`
84×	`unsub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
80×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	39	49
2	87	47
3	163	47
4	290	47
5	425	47
6	514	47
7	558	47
8	603	47
9	618	47
10	626	47
0	7	9
0	11	9
1	14	9
2	19	9
3	25	9
4	33	9
5	48	9
6	81	9
7	106	9
8	149	9
9	164	9
10	172	9
0	172	9

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.1%)

Memory

-30.1MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 5 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff	0	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
36×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	14	23
2	19	23
3	25	23
4	33	23
5	48	23
6	81	23
7	106	23
8	149	23
9	164	23
10	172	23
0	172	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5 binary64)
(pow.f64 x #s(literal 5 binary64))

localize38.0ms (0.5%)

Memory

-6.9MiB live, 40.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 5 binary64))
accuracy	0	(+.f64 x eps)
accuracy	0.010097509768442016	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy	8.02522122301735	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Samples

14.0ms	205×	0	valid
7.0ms	45×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-pow: 9.0ms (62.2% of total)

ival-add: 2.0ms (13.8% of total)

adjust: 1.0ms (6.9% of total)

ival-sub: 1.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5)) (taylor 0 eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 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 5) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps)))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps)))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3))))))))) (taylor inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 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 5) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1))) (taylor -inf eps) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 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 eps 5) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow eps 5) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5)) (taylor 0 x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 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 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x)))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3)))))))))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x)))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x)))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3))))))))) (taylor inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 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 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 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>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 5) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 5 binary64)) (patch (pow.f64 x #s(literal 5 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	x	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	x	@	0	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	eps	@	0	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))
1.0ms	eps	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (pow (+ x eps) 5) (+ x eps) (pow x 5))

simplify190.0ms (2.4%)

Memory

3.9MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 244×	`lower-fma.f64`
19 244×	`lower-fma.f32`
6 916×	`lower-*.f64`
6 916×	`lower-*.f32`
3 992×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1372
1	817	1243
2	2855	1056
0	8390	988

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
x
(+ eps x)
(+ eps x)
(+ eps x)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
eps
(+ eps x)
(+ eps x)
(+ eps x)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)

Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 10 binary64) (.f64 x x) (.f64 (.f64 #s(literal 5 binary64) x) eps)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps (pow.f64 x #s(literal 5 binary64)))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
(fma.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 x x)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps)) eps (pow.f64 x #s(literal 5 binary64)))
x
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (.f64 (/.f64 x eps) #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 x eps) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 x eps) (pow.f64 (/.f64 x eps) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 8 binary64) (/.f64 x eps)) (/.f64 x eps) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) (/.f64 x eps))))) (pow.f64 eps #s(literal 5 binary64)))
eps
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(*.f64 (fma.f64 (/.f64 x eps) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (.f64 (*.f64 x x) #s(literal -10 binary64)) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 eps))) (neg.f64 eps))) eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal 5 binary64)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(fma.f64 (/.f64 x eps) eps eps)
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 eps eps)) x (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) (.f64 eps eps)) x (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64))) x (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64))) x (pow.f64 eps #s(literal 5 binary64)))
eps
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(+ eps x)
(+.f64 x eps)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 10 binary64) (*.f64 #s(literal 4 binary64) eps)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 eps eps) x) #s(literal 2 binary64) eps) (fma.f64 (+.f64 eps (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) x)) #s(literal 4 binary64) (+.f64 (fma.f64 (.f64 #s(literal 8 binary64) eps) (/.f64 eps x) (.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) x) (/.f64 #s(literal 6 binary64) x))) (*.f64 #s(literal 5 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 4 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (.f64 eps eps) x) x) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 (.f64 eps eps) x) x) #s(literal 8 binary64) (.f64 (/.f64 eps x) #s(literal 5 binary64)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (.f64 eps eps) x) x) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 eps x) (pow.f64 (/.f64 eps x) #s(literal 3 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (*.f64 eps eps) x) x) #s(literal 8 binary64) (/.f64 eps x))))) (pow.f64 x #s(literal 5 binary64)))
x
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal -10 binary64) (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) (neg.f64 x))) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 5 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (fma.f64 (.f64 eps eps) #s(literal -10 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) (neg.f64 x))) (neg.f64 x))) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(fma.f64 (/.f64 eps x) x x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(pow x 5)
(pow.f64 x #s(literal 5 binary64))

rewrite300.0ms (3.8%)

Memory

24.7MiB live, 145.4MiB allocated

Rules

4 520×	`lower-*.f64`
4 520×	`lower-*.f32`
3 728×	`lower-fma.f64`
3 728×	`lower-fma.f32`
3 216×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	52	20
2	350	20
3	3545	20
0	9394	20

Stop Event

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

Counts

4 → 282

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 x #s(literal 5 binary64))

Outputs
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eval102.0ms (1.3%)

Memory: -26.1MiB live, 48.7MiB allocated
Compiler: Compiled 10 014 to 1 248 computations (87.5% saved)

prune9.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	355	5	360
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	355	6	361

Accuracy

99.9%

Counts

361 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
✓	87.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
▶	86.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
▶	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
▶	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
▶	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))

Compiler

Compiled 117 to 103 computations (12% saved)

simplify116.0ms (1.5%)

Memory

-21.5MiB live, 59.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps))
cost-diff	0	(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
cost-diff	0	(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
cost-diff	0	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
cost-diff	0	(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
cost-diff	128	(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
cost-diff	320	(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
cost-diff	0	(pow.f64 eps #s(literal 5 binary64))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Rules

3 826×	`lower-fma.f32`
3 822×	`lower-fma.f64`
2 470×	`lower-*.f32`
2 452×	`lower-*.f64`
1 928×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	236
0	57	236
1	88	232
2	167	229
3	385	229
4	864	229
5	1612	229
6	2498	229
7	4112	229
8	5418	229
9	6435	229
10	6919	229
11	7563	229
0	8059	226

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
#s(literal 5 binary64)
eps
(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps eps)
#s(literal -10 binary64)
(neg.f64 x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
x
eps
#s(literal 5 binary64)
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(*.f64 x x)
#s(literal 5/2 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 10 binary64)
eps

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
eps
#s(literal 5 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) eps)))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) eps))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
#s(literal 5 binary64)
eps
(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
(.f64 (/.f64 eps x) (.f64 #s(literal 10 binary64) eps))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(*.f64 eps eps)
#s(literal -10 binary64)
(neg.f64 x)
x
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(pow.f64 (+.f64 eps x) #s(literal 5 binary64))
(+.f64 x eps)
(+.f64 eps x)
x
eps
#s(literal 5 binary64)
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(*.f64 x x)
#s(literal 5/2 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps))
(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)
(.f64 (fma.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps))
(fma.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)))
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)
(.f64 (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64))) eps)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 10 binary64)
eps

localize182.0ms (2.3%)

Memory

1.0MiB live, 112.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)
accuracy	0.08107377930532605	(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps))
accuracy	0.11394501953688402	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
accuracy	0	(*.f64 x x)
accuracy	0.010097509768442016	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
accuracy	0.14910126953688402	(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
accuracy	4.807071473381293	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
accuracy	0.14026129138909577	(.f64 (.f64 eps eps) #s(literal -10 binary64))
accuracy	0.2832749483861726	(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
accuracy	15.244222700660442	(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.03515625	(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
accuracy	0.08498002930532605	(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy	9.651822750725938	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
accuracy	0	(pow.f64 eps #s(literal 5 binary64))
accuracy	8.380374234349066	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

Samples

56.0ms	200×	0	valid
25.0ms	49×	1	valid
5.0ms	7×	2	valid

Compiler

Compiled 199 to 33 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-pow: 33.0ms (51% of total)

ival-mult: 16.0ms (24.7% of total)

ival-add: 5.0ms (7.7% of total)

adjust: 4.0ms (6.2% of total)

ival-sub: 3.0ms (4.6% of total)

ival-div: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series100.0ms (1.3%)

Memory

-33.9MiB live, 88.9MiB allocated

Counts

21 → 420

Calls

Call 1

Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 eps #s(literal 5 binary64)) (patch (pow.f64 eps #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) (patch (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (patch (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (patch (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x eps) (patch (+.f64 x eps) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x x) #s(literal 5/2 binary64)) (patch (pow.f64 (.f64 x x) #s(literal 5/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) (patch (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 eps eps) #s(literal -10 binary64)) (patch (.f64 (.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) (patch (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #<representation binary64>) () ())

Outputs
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) (patch (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) (patch (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) (patch (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) (patch (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) (patch (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) (patch (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) (patch (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) (patch (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) (patch (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps (pow x 3))) (taylor -inf x) (#s(alt (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) (patch (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	x	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow (* x x) 5/2)) (pow (+ x eps) 5) (+ x eps) (pow (* x x) 5/2) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* x x) (* (pow x 3) 10) (* (* (pow x 3) 10) eps))
5.0ms	eps	@	0	((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow (* x x) 5/2)) (pow (+ x eps) 5) (+ x eps) (pow (* x x) 5/2) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* x x) (* (pow x 3) 10) (* (* (pow x 3) 10) eps))
5.0ms	x	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow (* x x) 5/2)) (pow (+ x eps) 5) (+ x eps) (pow (* x x) 5/2) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* x x) (* (pow x 3) 10) (* (* (pow x 3) 10) eps))
4.0ms	x	@	0	((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow (* x x) 5/2)) (pow (+ x eps) 5) (+ x eps) (pow (* x x) 5/2) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* x x) (* (pow x 3) 10) (* (* (pow x 3) 10) eps))
4.0ms	eps	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (pow eps 5) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (pow x 4)) eps) (* 5 (pow x 4)) (pow x 4) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (pow x 4)) (- (pow (+ x eps) 5) (pow (* x x) 5/2)) (pow (+ x eps) 5) (+ x eps) (pow (* x x) 5/2) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* x x) (* (pow x 3) 10) (* (* (pow x 3) 10) eps))

simplify239.0ms (3.1%)

Memory

3.8MiB live, 157.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 336×	`lower-fma.f64`
13 336×	`lower-fma.f32`
5 428×	`lower-*.f64`
5 428×	`lower-*.f32`
5 140×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	6152
1	1014	5702
2	3405	4856
3	7691	4856
0	8427	4616

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 414

Calls

Call 1

Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(pow x 5)
(+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (pow x 5))
(+ (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (pow x 5))
x
(+ eps x)
(+ eps x)
(+ eps x)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
eps
(+ eps x)
(+ eps x)
(+ eps x)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(pow x 5)
(* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 4 (/ (pow eps 3) (pow x 3))) (+ (* 8 (/ (pow eps 2) (pow x 2))) (+ (/ eps x) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 3)))))))))
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 2 (pow x 5))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 2)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 2)))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* -1 (pow x 5))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (pow x 3))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))
(* 10 (* eps (pow x 3)))

Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
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(* 5 (* eps (pow x 4)))
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(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
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(* (pow x 4) (+ eps (* 4 eps)))
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
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(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
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rewrite179.0ms (2.3%)

Memory

22.5MiB live, 209.0MiB allocated

Rules

12 556×	`lower-fma.f32`
12 552×	`lower-fma.f64`
6 484×	`lower-*.f32`
6 466×	`lower-*.f64`
2 720×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	201
0	57	197
1	190	193
2	1099	190
0	9033	187

Stop Event

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

Counts

21 → 584

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
(pow.f64 eps #s(literal 5 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
(+.f64 x eps)
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))
(.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps)
(fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)

Outputs
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eval185.0ms (2.4%)

Memory: 2.4MiB live, 154.5MiB allocated
Compiler: Compiled 21 220 to 2 580 computations (87.8% saved)

prune85.0ms (1.1%)

Memory

-21.6MiB live, 113.5MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 046	8	1 054
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 048	12	1 060

Accuracy

100.0%

Counts

1 060 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
✓	87.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
✓	86.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
▶	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x))
	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 #s(literal 5 binary64) (*.f64 x x)) x) x) eps))
▶	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
▶	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
✓	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
▶	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
▶	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))

Compiler

Compiled 264 to 191 computations (27.7% saved)

simplify248.0ms (3.2%)

Memory

24.8MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))
cost-diff	384	(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
cost-diff	320	(fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 5 binary64) eps)
cost-diff	0	(.f64 (.f64 #s(literal 5 binary64) eps) (*.f64 x x))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x)))
cost-diff	0	(.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
cost-diff	128	(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
cost-diff	320	(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
cost-diff	384	(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))

Rules

18 380×	`lower-fma.f32`
18 374×	`lower-fma.f64`
5 900×	`lower-*.f32`
5 868×	`lower-*.f64`
1 776×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	387
0	71	377
1	140	344
2	334	324
3	794	324
4	1847	324
5	3506	319
6	6636	319
0	8004	318

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
#s(literal 5 binary64)
eps
(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(*.f64 eps eps)
#s(literal -10 binary64)
(neg.f64 x)
x
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
(.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps)
(.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x)))
#s(literal 5 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
(.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 #s(literal 5 binary64) eps) (*.f64 x x))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps)
(.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(*.f64 x x)
x
(fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps))
#s(literal 5 binary64)
(.f64 (.f64 x #s(literal 10 binary64)) eps)
(*.f64 x #s(literal 10 binary64))
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))
(.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(/.f64 eps x)
eps
x
#s(literal 10 binary64)
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
#s(literal 5 binary64)
eps
(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(*.f64 eps eps)
#s(literal -10 binary64)
(neg.f64 x)
x
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps)
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps))
(.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(.f64 (.f64 #s(literal 5 binary64) eps) (*.f64 x x))
(.f64 (.f64 eps x) (*.f64 #s(literal 5 binary64) x))
(*.f64 #s(literal 5 binary64) eps)
#s(literal 5 binary64)
eps
(*.f64 x x)
x
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps)
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) eps) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
(fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) x)
#s(literal 5 binary64)
(.f64 (.f64 x #s(literal 10 binary64)) eps)
(.f64 (.f64 #s(literal 10 binary64) x) eps)
(*.f64 x #s(literal 10 binary64))
(*.f64 #s(literal 10 binary64) x)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) eps))
(.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)
(.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(/.f64 eps x)
eps
x
#s(literal 10 binary64)
#s(literal 5 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize212.0ms (2.7%)

Memory

-23.2MiB live, 176.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)
accuracy	0.16015625	(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
accuracy	0.5006481772860907	(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))
accuracy	0.109375	(.f64 (.f64 x #s(literal 10 binary64)) eps)
accuracy	0.11328125	(.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps)))
accuracy	0.127285009768442	(fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
accuracy	0	(*.f64 #s(literal 5 binary64) eps)
accuracy	0.046875	(.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x))
accuracy	0.08203125	(.f64 (.f64 #s(literal 5 binary64) eps) (*.f64 x x))
accuracy	9.651822750725938	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
accuracy	0.03515625	(.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps)
accuracy	0.08498002930532605	(.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x)))
accuracy	0.13119125976844204	(.f64 (.f64 x x) (*.f64 x x))
accuracy	9.651822750725938	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
accuracy	0.14026129138909577	(.f64 (.f64 eps eps) #s(literal -10 binary64))
accuracy	0.2832749483861726	(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
accuracy	15.244222700660442	(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))

Samples

65.0ms	200×	0	valid
31.0ms	49×	1	valid
5.0ms	7×	2	valid

Compiler

Compiled 286 to 43 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 32.0ms (40.8% of total)

ival-pow: 27.0ms (34.4% of total)

ival-add: 7.0ms (8.9% of total)

ival-div: 4.0ms (5.1% of total)

adjust: 4.0ms (5.1% of total)

ival-sub: 3.0ms (3.8% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series42.0ms (0.5%)

Memory

37.6MiB live, 37.6MiB allocated

Counts

24 → 516

Calls

Call 1

Inputs
#s(alt (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) (patch (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x))) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x))) eps) (patch (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x))) eps) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (patch (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 5 binary64) eps) (patch (.f64 #s(literal 5 binary64) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps)) (patch (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps) (patch (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (patch (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) (patch (.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 eps eps) #s(literal -10 binary64)) (patch (.f64 (.f64 eps eps) #s(literal -10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 10 binary64)) eps) (patch (.f64 (.f64 x #s(literal 10 binary64)) eps) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) (patch (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 5 eps) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ 5 (* 10 (/ eps x)))) (taylor 0 eps) (#s(alt (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (patch (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) (patch (.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) (patch (.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) (patch (.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) (patch (.f64 #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) (patch #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (.f64 x x)) (patch (.f64 (.f64 x x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) (patch (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) (patch (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 10 binary64)) eps) (patch (.f64 (.f64 x #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 10 binary64)) eps) (patch (.f64 (.f64 x #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 10 binary64)) eps) (patch (.f64 (.f64 x #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 10 binary64)) eps) (patch (.f64 (.f64 x #s(literal 10 binary64)) eps) #<representation binary64>) () ())) ())
#s(alt 5 (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 10 (/ eps x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 10 (/ eps x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 5 (* 10 (/ eps x))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (patch (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	((* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (* (* x x) (* x x))) eps) (* 5 (* (* x x) (* x x))) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 eps) (* x x)) (* 5 eps) (+ (* (* x x) 5) (* (* x 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* (* x x) (* x x)) (* (* (* 5 eps) (* x x)) (* x x)) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* x 10) eps) (+ (* (/ eps x) 10) 5))
4.0ms	eps	@	inf	((* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (* (* x x) (* x x))) eps) (* 5 (* (* x x) (* x x))) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 eps) (* x x)) (* 5 eps) (+ (* (* x x) 5) (* (* x 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* (* x x) (* x x)) (* (* (* 5 eps) (* x x)) (* x x)) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* x 10) eps) (+ (* (/ eps x) 10) 5))
4.0ms	eps	@	0	((* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (* (* x x) (* x x))) eps) (* 5 (* (* x x) (* x x))) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 eps) (* x x)) (* 5 eps) (+ (* (* x x) 5) (* (* x 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* (* x x) (* x x)) (* (* (* 5 eps) (* x x)) (* x x)) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* x 10) eps) (+ (* (/ eps x) 10) 5))
4.0ms	x	@	-inf	((* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (* (* x x) (* x x))) eps) (* 5 (* (* x x) (* x x))) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 eps) (* x x)) (* 5 eps) (+ (* (* x x) 5) (* (* x 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* (* x x) (* x x)) (* (* (* 5 eps) (* x x)) (* x x)) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* x 10) eps) (+ (* (/ eps x) 10) 5))
4.0ms	x	@	inf	((* (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (* (* x x) (* x x))) (+ (* 5 eps) (/ (* (* eps eps) -10) (neg x))) (/ (* (* eps eps) -10) (neg x)) (- (pow (+ x eps) 5) (pow x 5)) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 (* (* x x) (* x x))) eps) (* 5 (* (* x x) (* x x))) (* x x) (- (pow (+ x eps) 5) (pow x 5)) (* (* 5 eps) (* x x)) (* 5 eps) (+ (* (* x x) 5) (* (* x 10) eps)) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (+ (* (/ eps x) 10) 5) (pow x 4)) (- (pow (+ x eps) 5) (pow x 5)) (* (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) eps) (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (* (* eps eps) -10) (* (* x x) (* x x)) (* (* (* 5 eps) (* x x)) (* x x)) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* x 10) eps) (+ (* (/ eps x) 10) 5))

simplify309.0ms (3.9%)

Memory

2.8MiB live, 278.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 080×	`lower-fma.f64`
19 080×	`lower-fma.f32`
5 852×	`lower-*.f64`
5 852×	`lower-*.f32`
4 642×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	6480
1	881	6078
2	2904	5498
3	6533	5488
0	8705	5156

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 eps)
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* eps (+ 5 (* 10 (/ eps x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 (pow x 2))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
5
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 10 (* eps x))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (/ eps x))
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* eps (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (/ (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* (pow eps 2) (+ (* 5 (/ 1 eps)) (* 10 (/ 1 x))))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 10 (* eps x))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* -10 (pow eps 2))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (/ eps x))
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps))))
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps))))
(* eps (+ (* 10 (/ 1 x)) (* 5 (/ 1 eps))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (/ (pow eps 2) x))
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(/ (+ (* 5 (* eps x)) (* 10 (pow eps 2))) x)
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 10 (* eps x))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (/ eps x))
(/ (+ (* 5 x) (* 10 eps)) x)
(/ (+ (* 5 x) (* 10 eps)) x)
(/ (+ (* 5 x) (* 10 eps)) x)
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
5
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 eps)
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(+ (* 5 eps) (* 10 (/ (pow eps 2) x)))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* 10 (/ (pow eps 2) x))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (* eps (pow x 2)))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
5
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))
(+ 5 (* 10 (/ eps x)))

Outputs
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 5 eps)
(*.f64 eps #s(literal 5 binary64))
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* eps (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps)
(* 10 (/ (pow eps 2) x))
(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x))) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x))) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x))) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 eps)
(*.f64 eps #s(literal 5 binary64))
(* 5 eps)
(*.f64 eps #s(literal 5 binary64))
(* 5 eps)
(*.f64 eps #s(literal 5 binary64))
(* 5 eps)
(*.f64 eps #s(literal 5 binary64))
(* 5 (pow x 2))
(.f64 (.f64 x #s(literal 5 binary64)) x)
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) x)
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) x)
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) x)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x))) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 eps #s(literal 5 binary64) (.f64 #s(literal 10 binary64) x))) eps (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64))) eps (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -10 (pow eps 2))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(* -10 (pow eps 2))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(* -10 (pow eps 2))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(* -10 (pow eps 2))
(.f64 #s(literal -10 binary64) (.f64 eps eps))
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(* 10 (* (pow eps 2) (pow x 3)))
(.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) eps) eps) #s(literal 10 binary64))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 x #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
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(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* 10 (/ (pow eps 2) x))
(.f64 (.f64 (/.f64 eps x) eps) #s(literal 10 binary64))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(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 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 5 binary64))
(* 5 (pow x 2))
(.f64 (.f64 x #s(literal 5 binary64)) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 x #s(literal 5 binary64))) x)
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (* 4 eps)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(.f64 (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 10 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5 binary64)) x)) x) (.f64 #s(literal -10 binary64) (.f64 eps eps))) x)) (pow.f64 x #s(literal 4 binary64)))
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) eps) (pow.f64 x #s(literal 4 binary64)))
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64)) eps)
(* 5 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))
(+ 5 (* 10 (/ eps x)))
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))

rewrite228.0ms (2.9%)

Memory

-22.1MiB live, 257.6MiB allocated

Rules

7 000×	`lower-fma.f32`
6 994×	`lower-fma.f64`
4 380×	`lower-*.f32`
4 348×	`lower-*.f64`
3 718×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	338
0	71	306
1	255	298
2	1651	298
0	8300	291

Stop Event

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

Counts

24 → 549

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))
(fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
(.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps)
(.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 x x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
(.f64 (.f64 #s(literal 5 binary64) eps) (*.f64 x x))
(*.f64 #s(literal 5 binary64) eps)
(fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
(.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps)
(*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))
(.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps)
#s(approx (+ (* 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 eps eps) #s(literal -10 binary64))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (*.f64 x #s(literal 10 binary64)) eps)))
(.f64 (.f64 x #s(literal 10 binary64)) eps)
(fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))

Outputs
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eval212.0ms (2.7%)

Memory: 3.4MiB live, 229.6MiB allocated
Compiler: Compiled 24 825 to 2 686 computations (89.2% saved)

prune230.0ms (2.9%)

Memory

-11.6MiB live, 123.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 226	5	1 231
Fresh	2	1	3
Picked	4	1	5
Done	1	3	4
Total	1 233	10	1 243

Accuracy

100.0%

Counts

1 243 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
✓	87.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
✓	86.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
▶	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x))
▶	72.2%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
▶	84.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
▶	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
✓	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
▶	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))

Compiler

Compiled 200 to 151 computations (24.5% saved)

simplify25.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) #s(literal 5 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
cost-diff	320	(.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))))
cost-diff	0	(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)))
cost-diff	0	(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
cost-diff	0	(.f64 (.f64 x eps) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 5 binary64))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
cost-diff	0	(.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps)))
cost-diff	0	(.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)
cost-diff	0	(.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps))
cost-diff	0	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))

Rules

660×	`lower-*.f32`
620×	`lower-*.f64`
494×	`associate-r`
384×	`lower-fma.f32`
382×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	407
0	62	383
1	121	383
2	243	367
3	481	357
4	709	357
5	764	357
6	796	357
7	819	357
8	862	357
9	877	357
10	885	357
0	885	357

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
(.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)))
x
(.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps))
(.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)
(.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps)))
(fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))
#s(literal 5 binary64)
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
(.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x))
(.f64 (.f64 x x) #s(literal 5 binary64))
(*.f64 x x)
x
#s(literal 5 binary64)
(.f64 (.f64 x eps) x)
(*.f64 x eps)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)))
(*.f64 x x)
x
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))
(.f64 (.f64 x #s(literal 5 binary64)) x)
(*.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))))
(*.f64 x x)
x
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(*.f64 x eps)
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x)
(.f64 (.f64 x x) #s(literal 5 binary64))
(*.f64 x x)
x
#s(literal 5 binary64)
eps

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))))
(.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)))
x
(.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (.f64 #s(literal 10 binary64) eps)) x) eps) x)
(.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)
(.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) x) eps)
(.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps)))
(.f64 (fma.f64 #s(literal 5 binary64) x (.f64 #s(literal 10 binary64) eps)) x)
(fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))
(fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps))
#s(literal 5 binary64)
(*.f64 #s(literal 10 binary64) eps)
#s(literal 10 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x))
(.f64 (.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 x x) #s(literal 5 binary64))
(*.f64 x x)
x
#s(literal 5 binary64)
(.f64 (.f64 x eps) x)
(.f64 (.f64 eps x) x)
(*.f64 x eps)
(*.f64 eps x)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x x) #s(literal 5 binary64))) (.f64 (.f64 eps x) x)))
(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)
(.f64 #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x x) #s(literal 5 binary64))) (.f64 (.f64 eps x) x))
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)))
(.f64 #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x x) #s(literal 5 binary64))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x x) #s(literal 5 binary64)))
(.f64 (.f64 x #s(literal 5 binary64)) x)
(.f64 (.f64 x x) #s(literal 5 binary64))
(*.f64 x #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) x)
#s(literal 5 binary64)
eps
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 #s(literal 10 binary64) x) eps)) (.f64 (.f64 eps x) x)))
(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)
(.f64 #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 #s(literal 10 binary64) x) eps)) (.f64 (.f64 eps x) x))
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))))
(.f64 #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 #s(literal 10 binary64) x) eps)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 #s(literal 10 binary64) x) eps))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(.f64 (.f64 #s(literal 10 binary64) x) eps)
(*.f64 x eps)
(*.f64 eps x)
eps
#s(literal 10 binary64)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64))))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps)
(.f64 (.f64 #s(literal 5 binary64) eps) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 5 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 5 binary64))
(.f64 (.f64 x x) #s(literal 5 binary64))
(*.f64 x x)
x
#s(literal 5 binary64)
eps

localize209.0ms (2.7%)

Memory

-2.2MiB live, 115.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x)
accuracy	0.109375	(.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x)
accuracy	0.162441259768442	(.f64 (.f64 x x) #s(literal 5 binary64))
accuracy	9.651822750725938	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
accuracy	0.11328125	(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))))
accuracy	0.2528851316204016	(.f64 (.f64 x eps) #s(literal 10 binary64))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
accuracy	27.53975303477833	#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))
accuracy	0.11328125	(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)))
accuracy	0.12890625	(.f64 (.f64 x #s(literal 5 binary64)) x)
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
accuracy	14.029064447001161	#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))
accuracy	0.02734375	(.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x))
accuracy	0.0390625	(.f64 (.f64 x eps) x)
accuracy	0.162441259768442	(.f64 (.f64 x x) #s(literal 5 binary64))
accuracy	9.651822750725938	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
accuracy	0.05859375	(.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps))
accuracy	0.08984375	(.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)
accuracy	0.1640625	(.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps)))
accuracy	9.55788180303222	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))

Samples

134.0ms	61×	1	valid
43.0ms	186×	0	valid
5.0ms	9×	2	valid

Compiler

Compiled 291 to 32 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 132.0ms (82.5% of total)

ival-pow: 18.0ms (11.3% of total)

ival-add: 5.0ms (3.1% of total)

adjust: 3.0ms (1.9% of total)

ival-sub: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory

30.2MiB live, 68.4MiB allocated

Counts

23 → 492

Calls

Call 1

Inputs
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) (patch (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) (patch (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) (patch (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 5 binary64)) (patch (.f64 (.f64 x x) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x eps) x) (patch (.f64 (.f64 x eps) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 5 binary64)) x) (patch (.f64 (.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x eps) #s(literal 10 binary64)) (patch (.f64 (.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 3))) (taylor 0 eps) (#s(alt (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) (patch (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) (taylor 0 eps) (#s(alt (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) (patch (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) (taylor 0 eps) (#s(alt (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) (patch (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2))))) (taylor 0 eps) (#s(alt (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) (patch (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 2))) (taylor 0 eps) (#s(alt (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) (patch (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) (taylor 0 eps) (#s(alt (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) (patch (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) (taylor 0 eps) (#s(alt (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) (patch (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 2)) (* 10 (* eps x)))) (taylor 0 eps) (#s(alt (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) (patch (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor 0 eps) (#s(alt (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) (patch (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 2)) (* 10 (* eps x))) (taylor 0 eps) (#s(alt (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) (patch (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 2)) (* 10 (* eps x))) (taylor 0 eps) (#s(alt (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) (patch (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (+ (* 5 (pow x 2)) (* 10 (* eps x))) (taylor 0 eps) (#s(alt (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) (patch (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x))) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor 0 eps) (#s(alt (.f64 (.f64 x eps) x) (patch (.f64 (.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor 0 eps) (#s(alt (.f64 (.f64 x eps) x) (patch (.f64 (.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor 0 eps) (#s(alt (.f64 (.f64 x eps) x) (patch (.f64 (.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (pow x 2)) (taylor 0 eps) (#s(alt (.f64 (.f64 x eps) x) (patch (.f64 (.f64 x eps) x) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (pow x 4))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4)))) (taylor 0 eps) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) #<representation binary64>) () ())) ())
#s(alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))) (taylor 0 eps) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) (patch (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) (patch (.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) (patch (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (* 4 eps))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps)))) (taylor -inf x) (#s(alt #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) (patch #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) (patch (.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x) eps) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (* eps (pow x 4))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (.f64 x eps) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 5 binary64)) x) (patch (.f64 (.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 5 binary64)) x) (patch (.f64 (.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 5 binary64)) x) (patch (.f64 (.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 5 binary64)) x) (patch (.f64 (.f64 x #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 5 (* 10 (/ eps x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) (patch #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x eps) #s(literal 10 binary64)) (patch (.f64 (.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x eps) #s(literal 10 binary64)) (patch (.f64 (.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x eps) #s(literal 10 binary64)) (patch (.f64 (.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 10 (* eps x)) (taylor -inf x) (#s(alt (.f64 (.f64 x eps) #s(literal 10 binary64)) (patch (.f64 (.f64 x eps) #s(literal 10 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 5 (pow x 3)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) (patch (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (* x (* (* x (+ (* x 5) (* 10 eps))) eps)) (* (* x (+ (* x 5) (* 10 eps))) eps) (* x (+ (* x 5) (* 10 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* x eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* (* (* x x) 5) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* (* x x) 5) x) x) eps) (* (* (* x x) 5) (* (* x eps) x)) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x 5) x) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x eps) 10) (* (* (* x x) 5) x))
4.0ms	x	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (* x (* (* x (+ (* x 5) (* 10 eps))) eps)) (* (* x (+ (* x 5) (* 10 eps))) eps) (* x (+ (* x 5) (* 10 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* x eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* (* (* x x) 5) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* (* x x) 5) x) x) eps) (* (* (* x x) 5) (* (* x eps) x)) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x 5) x) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x eps) 10) (* (* (* x x) 5) x))
3.0ms	eps	@	-inf	((- (pow (+ x eps) 5) (pow x 5)) (* x (* (* x (+ (* x 5) (* 10 eps))) eps)) (* (* x (+ (* x 5) (* 10 eps))) eps) (* x (+ (* x 5) (* 10 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* x eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* (* (* x x) 5) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* (* x x) 5) x) x) eps) (* (* (* x x) 5) (* (* x eps) x)) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x 5) x) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x eps) 10) (* (* (* x x) 5) x))
3.0ms	eps	@	0	((- (pow (+ x eps) 5) (pow x 5)) (* x (* (* x (+ (* x 5) (* 10 eps))) eps)) (* (* x (+ (* x 5) (* 10 eps))) eps) (* x (+ (* x 5) (* 10 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* x eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* (* (* x x) 5) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* (* x x) 5) x) x) eps) (* (* (* x x) 5) (* (* x eps) x)) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x 5) x) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x eps) 10) (* (* (* x x) 5) x))
3.0ms	eps	@	inf	((- (pow (+ x eps) 5) (pow x 5)) (* x (* (* x (+ (* x 5) (* 10 eps))) eps)) (* (* x (+ (* x 5) (* 10 eps))) eps) (* x (+ (* x 5) (* 10 eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* x x) 5) (* x x) (* (* x eps) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) eps) (* (* x x) (+ (* (* x x) 5) (* (* x 10) eps))) (* (* (* (* x x) 5) x) x) (- (pow (+ x eps) 5) (pow x 5)) (* (* (* (* (* x x) 5) x) x) eps) (* (* (* x x) 5) (* (* x eps) x)) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x 5) x) (+ (* (* x x) 5) (* (* x 10) eps)) (* (* x eps) 10) (* (* (* x x) 5) x))

simplify259.0ms (3.3%)

Memory

-4.3MiB live, 310.3MiB allocated

Algorithm

1×	egg-herbie

Rules

15 838×	`lower-fma.f64`
15 838×	`lower-fma.f32`
5 530×	`lower-*.f64`
5 530×	`lower-*.f32`
4 934×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	6904
1	950	6468
2	3152	5704
3	6467	5694
0	8548	5362

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 3)))
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(* 5 (* eps (pow x 2)))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(* 5 (pow x 2))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(* 5 (pow x 4))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 2))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(* 5 (pow x 2))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* eps x))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(pow eps 5)
(* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))
(* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 4 (/ (pow x 3) (pow eps 3))) (+ (* 8 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (/ (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (pow eps 3)))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* eps x))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* eps x))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* eps (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* (pow eps 2) (+ (* 5 (/ (pow x 3) eps)) (* 10 (pow x 2))))
(* 10 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* (pow eps 2) (+ (* 5 (/ (pow x 2) eps)) (* 10 x)))
(* 10 (* eps x))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))
(* 10 (* eps (pow x 3)))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)) (* 4 x))) eps)) 1)))
(* -1 (* (pow eps 5) (- (* -1 (/ (+ x (+ (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -1 (+ (* 2 (pow x 2)) (* 4 (pow x 2)))) (* -1 (/ (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))) eps)))) eps)) (* 4 x))) eps)) 1)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* eps x))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* 10 (* eps x))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -10 x) (* -5 (/ (pow x 2) eps)))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 2) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* (pow eps 2) x))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps x))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 10 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))
(* 10 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* (pow x 3) (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(pow eps 5)
(+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) (pow eps 4)))) (pow eps 5))
(+ (* x (+ (* 4 (pow eps 4)) (+ (* x (+ (* 4 (pow eps 3)) (+ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* x (+ (* 2 (pow eps 2)) (* 8 (pow eps 2))))))) (pow eps 4)))) (pow eps 5))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 10 (* eps x))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 10 (* eps x))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* x (+ (* 5 x) (* 10 eps)))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 3)))
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 8 (/ (pow eps 2) x)) (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2))))))))
(* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (+ (* 4 (/ (pow eps 3) (pow x 2))) (+ (* 4 (/ (pow eps 4) (pow x 3))) (+ (* 8 (/ (pow eps 2) x)) (+ (/ (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (pow x 2)) (/ (pow eps 4) (pow x 3))))))))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 2) x)) (* -5 eps))))
(* 5 (* eps (pow x 2)))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 2) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))
(* 5 (pow x 4))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* (pow x 4) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* 5 (pow x 4))
(* (pow x 4) (+ eps (* 4 eps)))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)))) x)) (* 4 eps))))
(* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (+ (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow eps 4)) (* -1 (pow eps 4))) x)) (+ (* 4 (pow eps 3)) (* eps (+ (* 2 (pow eps 2)) (* 4 (pow eps 2)))))) x)))) x)) (* 4 eps))))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (* eps (pow x 4)))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* 5 (pow x 2))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* 5 (pow x 3))
(* 5 (pow x 3))

Outputs
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) eps) (.f64 x x) (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 5 binary64) eps (.f64 #s(literal 10 binary64) x))) eps (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* 5 (* eps (pow x 3)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64))) eps)
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x))) (.f64 x x))
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x))) (.f64 x x))
(* eps (+ (* 5 (pow x 3)) (* 10 (* eps (pow x 2)))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x))) (.f64 x x))
(* 5 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
(* eps (+ (* 5 (pow x 2)) (* 10 (* eps x))))
(.f64 (.f64 eps (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x))) x)
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) x)
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) x)
(+ (* 5 (pow x 2)) (* 10 (* eps x)))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) x)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) eps) (.f64 x x) (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 5 binary64) eps (.f64 #s(literal 10 binary64) x))) eps (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* eps (+ (* 4 (pow x 4)) (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (* 8 (pow x 2)))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 10 binary64) eps) (.f64 x x) (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (+ (* eps (+ (* 2 (pow x 2)) (+ (* 8 (pow x 2)) (* eps (+ x (* 4 x)))))) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2))))))) (pow x 4))))
(.f64 (fma.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 5 binary64) eps (.f64 #s(literal 10 binary64) x))) eps (.f64 #s(literal 10 binary64) (pow.f64 x #s(literal 3 binary64)))) eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))
(.f64 (.f64 (fma.f64 #s(literal 10 binary64) eps (*.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64))) eps)
(* 5 (pow x 4))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
(.f64 (fma.f64 #s(literal 10 binary64) eps (.f64 #s(literal 5 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))
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(* 5 (* eps (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* 5 (* eps (pow x 4)))
(.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps)
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(* 5 (pow x 2))
(.f64 #s(literal 5 binary64) (.f64 x x))
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* (pow x 2) (+ 5 (* 10 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) x) x)
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 10 (* eps x))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(* 5 (pow x 3))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 5 (pow x 3))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 5 (pow x 3))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 5 (pow x 3))
(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 3 binary64)))

rewrite241.0ms (3.1%)

Memory

-40.9MiB live, 176.1MiB allocated

Rules

11 574×	`lower-fma.f32`
11 572×	`lower-fma.f64`
7 104×	`lower-*.f32`
7 064×	`lower-*.f64`
2 972×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	345
0	62	321
1	182	307
2	960	297
0	8392	297

Stop Event

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

Counts

23 → 400

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
(.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps))) eps))
(.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps)
(.f64 x (fma.f64 x #s(literal 5 binary64) (.f64 #s(literal 10 binary64) eps)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
(.f64 (.f64 x x) #s(literal 5 binary64))
(*.f64 x x)
(.f64 (.f64 x eps) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps)
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
(.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps)
(.f64 (.f64 x x) #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64))))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) x) x)
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
(.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps)
(.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x))
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))
(.f64 (.f64 x #s(literal 5 binary64)) x)
#s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))
(.f64 (.f64 x eps) #s(literal 10 binary64))
(.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x)

Outputs
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eval125.0ms (1.6%)

Memory: 8.8MiB live, 248.8MiB allocated
Compiler: Compiled 18 060 to 2 064 computations (88.6% saved)

prune356.0ms (4.5%)

Memory

25.5MiB live, 544.4MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	953	3	956
Fresh	1	0	1
Picked	1	4	5
Done	0	4	4
Total	955	11	966

Accuracy

100.0%

Counts

966 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
✓	87.4%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
✓	86.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
✓	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
✓	72.2%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
✓	84.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
✓	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
✓	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
	84.9%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 25 binary64) x) x (.f64 #s(literal -100 binary64) (.f64 eps eps))) x) eps) (fma.f64 #s(literal 5 binary64) x (.f64 #s(literal -10 binary64) eps))))))
	85.0%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x))))
	84.8%	#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))

Compiler

Compiled 438 to 227 computations (48.2% saved)

regimes20.0ms (0.3%)

Memory

-1.8MiB live, 36.9MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 #s(literal 5 binary64) (*.f64 x x)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 25 binary64) x) x (.f64 #s(literal -100 binary64) (.f64 eps eps))) x) eps) (fma.f64 #s(literal 5 binary64) x (.f64 #s(literal -10 binary64) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 #s(approx (+ ( 5 (pow x 4)) (* (* (pow x 3) 10) eps)) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 10 binary64)) eps)) eps))

Outputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64)))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x (*.f64 (*.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))

Calls

3 calls:

6.0ms	x
6.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
6.0ms	eps

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.2%	3	`eps`
99.4%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-2.8MiB live, 36.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 #s(literal 5 binary64) (*.f64 x x)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 25 binary64) x) x (.f64 #s(literal -100 binary64) (.f64 eps eps))) x) eps) (fma.f64 #s(literal 5 binary64) x (.f64 #s(literal -10 binary64) eps))))))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))

Calls

3 calls:

6.0ms	x
5.0ms	eps
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
85.0%	1	`eps`
85.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
85.0%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes16.0ms (0.2%)

Memory

-14.9MiB live, 28.0MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 #s(literal 5 binary64) (*.f64 x x)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (*.f64 #s(literal 10 binary64) eps)) eps) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 5 binary64) (.f64 (.f64 x #s(literal 10 binary64)) eps))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 eps (fma.f64 (/.f64 eps x) #s(literal 10 binary64) #s(literal 5 binary64))) (*.f64 x x)) x) x))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))

Calls

3 calls:

8.0ms	eps
4.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
85.0%	1	`x`
85.0%	1	`eps`
85.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes10.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x eps) #s(literal 10 binary64)))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 #s(literal 5 binary64) (*.f64 x x)) x) x) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) #s(literal 5 binary64)) x) x) eps))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))

Calls

3 calls:

3.0ms	eps
3.0ms	x
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
84.9%	1	`x`
84.9%	1	`eps`
84.9%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes92.0ms (1.2%)

Memory

-27.2MiB live, 11.4MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))

Calls

3 calls:

86.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
84.8%	1	`eps`
84.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`
84.8%	1	`x`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 #s(literal 5 binary64) eps) (.f64 x x)) (*.f64 x x)))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
84.8%	1	`x`
84.8%	1	`eps`
84.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 x (*.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (*.f64 (*.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))

#s(approx (- (pow (+ x eps) 5) (pow x 5)) (*.f64 (*.f64 #s(literal 5 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) eps))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))

Calls

3 calls:

1.0ms	x
1.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
84.8%	1	`x`
84.8%	1	`eps`
84.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))

Outputs
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))

Calls

3 calls:

1.0ms	eps
1.0ms	x
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
84.8%	1	`x`
84.8%	1	`eps`
84.8%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch44.0ms (0.6%)

Memory

-0.9MiB live, 38.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	6.602750245789445e-52	2.2513057071605442e-51
29.0ms	-2.33127406461654e-55	-3.5572605883148516e-59

Samples

26.0ms	179×	1	valid
2.0ms	29×	0	valid

Compiler

Compiled 299 to 262 computations (12.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-pow: 13.0ms (59.1% of total)

adjust: 5.0ms (22.7% of total)

ival-add: 2.0ms (9.1% of total)

ival-sub: 2.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

simplify32.0ms (0.4%)

Memory

6.8MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Rules

58×	`-commutative-binary64-.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`+-commutative-binary64-+.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	256
1	95	256
2	101	256
3	112	256
4	122	256
5	129	256
6	133	256
7	134	256

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1678504711539465/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))) (if (<=.f64 x #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))

Outputs
(if (<=.f64 x #s(literal -1678504711539465/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x)))) (if (<=.f64 x #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))))
(if (<=.f64 x #s(literal -1678504711539465/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x))))) (if (<=.f64 x #s(literal 8424983333484575/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (pow.f64 eps #s(literal 5 binary64))) #s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x) eps) x) x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (neg.f64 x))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 #s(literal 5 binary64) eps (/.f64 (.f64 #s(literal -10 binary64) (.f64 eps eps)) (neg.f64 x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x (.f64 (.f64 x (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps))) eps))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 (fma.f64 x #s(literal 5 binary64) (*.f64 #s(literal 10 binary64) eps)) x) eps) x) x))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(approx (+ ( (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 x #s(literal 5 binary64)) x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (+ (* (* x x) 5) (* (* x 10) eps)) (.f64 (.f64 #s(literal 5 binary64) x) x)) (*.f64 x x)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) #s(literal 5 binary64)) (.f64 (*.f64 x eps) x)))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 eps x) x) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 eps (.f64 x x)) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 x x) eps) (.f64 (*.f64 x x) #s(literal 5 binary64))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 x x) (*.f64 x x))) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 5 binary64)) eps))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 x (.f64 x #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 x eps) #s(literal 5 binary64)) x)))))
#s(approx (- (pow (+ x eps) 5) (pow x 5)) (.f64 (.f64 #s(approx (* (* x (+ (* x 5) (* 10 eps))) eps) (.f64 (.f64 (*.f64 eps x) #s(literal 5 binary64)) x)) x) x))

soundness1.6s (19.9%)

Memory

-28.2MiB live, 896.3MiB allocated

Rules

19 244×	`lower-fma.f64`
19 244×	`lower-fma.f32`
19 080×	`lower-fma.f64`
19 080×	`lower-fma.f32`
15 838×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	201
0	57	197
1	190	193
2	1099	190
0	9033	187
0	260	6480
1	881	6078
2	2904	5498
3	6533	5488
0	8705	5156
0	272	6904
1	950	6468
2	3152	5704
3	6467	5694
0	8548	5362
0	46	338
0	71	306
1	255	298
2	1651	298
0	8300	291
0	245	1372
1	817	1243
2	2855	1056
0	8390	988

Stop Event

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

Compiler

Compiled 347 to 236 computations (32% saved)

preprocess44.0ms (0.6%)

Memory: 16.4MiB live, 96.0MiB allocated
Compiler: Compiled 306 to 118 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	51
1	39	49
2	87	47
3	163	47
4	290	47
5	425	47
6	514	47
7	558	47
8	603	47
9	618	47
10	626	47
0	7	9
0	11	9
1	14	9
2	19	9
3	25	9
4	33	9
5	48	9
6	81	9
7	106	9
8	149	9
9	164	9
10	172	9
0	172	9

Iter	Nodes	Cost
0	7	23
0	11	23
1	14	23
2	19	23
3	25	23
4	33	23
5	48	23
6	81	23
7	106	23
8	149	23
9	164	23
10	172	23
0	172	23

Iter	Nodes	Cost
0	41	407
0	62	383
1	121	383
2	243	367
3	481	357
4	709	357
5	764	357
6	796	357
7	819	357
8	862	357
9	877	357
10	885	357
0	885	357

Iter	Nodes	Cost
0	19	51
1	39	49
2	87	47
3	163	47
4	290	47
5	425	47
6	514	47
7	558	47
8	603	47
9	618	47
10	626	47
0	7	9
0	11	9
1	14	9
2	19	9
3	25	9
4	33	9
5	48	9
6	81	9
7	106	9
8	149	9
9	164	9
10	172	9
0	172	9

Iter	Nodes	Cost
0	7	23
0	11	23
1	14	23
2	19	23
3	25	23
4	33	23
5	48	23
6	81	23
7	106	23
8	149	23
9	164	23
10	172	23
0	172	23

Iter	Nodes	Cost
0	41	407
0	62	383
1	121	383
2	243	367
3	481	357
4	709	357
5	764	357
6	796	357
7	819	357
8	862	357
9	877	357
10	885	357
0	885	357

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (17.4%)

explain106.0ms (1.4%)

preprocess28.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.1%)

localize38.0ms (0.5%)

series9.0ms (0.1%)

simplify190.0ms (2.4%)

rewrite300.0ms (3.8%)

eval102.0ms (1.3%)

prune9.0ms (0.1%)

simplify116.0ms (1.5%)

localize182.0ms (2.3%)

series100.0ms (1.3%)

simplify239.0ms (3.1%)

rewrite179.0ms (2.3%)

eval185.0ms (2.4%)

prune85.0ms (1.1%)

simplify248.0ms (3.2%)

localize212.0ms (2.7%)

series42.0ms (0.5%)

simplify309.0ms (3.9%)

rewrite228.0ms (2.9%)

eval212.0ms (2.7%)

prune230.0ms (2.9%)

simplify25.0ms (0.3%)

localize209.0ms (2.7%)

series42.0ms (0.5%)

simplify259.0ms (3.3%)

rewrite241.0ms (3.1%)

eval125.0ms (1.6%)

prune356.0ms (4.5%)

regimes20.0ms (0.3%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

regimes10.0ms (0.1%)

regimes92.0ms (1.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch44.0ms (0.6%)

simplify32.0ms (0.4%)

soundness1.6s (19.9%)

preprocess44.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	51
1	39	49
2	87	47
3	163	47
4	290	47
5	425	47
6	514	47
7	558	47
8	603	47
9	618	47
10	626	47
0	7	9
0	11	9
1	14	9
2	19	9
3	25	9
4	33	9
5	48	9
6	81	9
7	106	9
8	149	9
9	164	9
10	172	9
0	172	9

Iter	Nodes	Cost
0	7	23
0	11	23
1	14	23
2	19	23
3	25	23
4	33	23
5	48	23
6	81	23
7	106	23
8	149	23
9	164	23
10	172	23
0	172	23

Iter	Nodes	Cost
0	41	407
0	62	383
1	121	383
2	243	367
3	481	357
4	709	357
5	764	357
6	796	357
7	819	357
8	862	357
9	877	357
10	885	357
0	885	357