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

analyze0.0ms (0%)

Memory

1.5MiB live, 1.5MiB 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 (13.1%)

Memory

21.2MiB live, 2 334.8MiB allocated

Samples

690.0ms	6 733×	0	valid
241.0ms	1 246×	1	valid
92.0ms	277×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 802.0ms

ival-pow: 425.0ms (53% of total)

ival-<=: 130.0ms (16.2% of total)

ival-add: 83.0ms (10.4% of total)

ival-sub: 76.0ms (9.5% of total)

adjust: 44.0ms (5.5% of total)

ival-and: 20.0ms (2.5% of total)

exact: 20.0ms (2.5% of total)

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

Bogosity

preprocess30.0ms (0.3%)

Memory

23.0MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Rules

120×	`sub-neg`
84×	`unsub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
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
1	10	9
2	15	9
3	21	9
4	29	9
5	44	9
6	77	9
7	103	9
8	146	9
9	161	9
10	169	9
0	169	9

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x eps) 5) (pow x 5))

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

explain128.0ms (1.2%)

Memory

-9.1MiB live, 236.1MiB 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	0
-	0	217

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	0	0	217

Precision?

1.0

Recall?

1.0

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

48.0ms	408×	0	valid
18.0ms	74×	1	valid
10.0ms	30×	2	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-pow: 24.0ms (41% of total)

ival-sub: 21.0ms (35.9% of total)

adjust: 8.0ms (13.7% of total)

ival-add: 3.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.9%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	10	23
2	15	23
3	21	23
4	29	23
5	44	23
6	77	23
7	103	23
8	146	23
9	161	23
10	169	23
0	169	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (pow (+ x eps) 5) (pow x 5))
(pow (+ x eps) 5)
(+ x eps)
x
eps
5
(pow x 5)

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

localize40.0ms (0.4%)

Memory

-25.7MiB live, 53.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 5 binary64))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.9%	(pow.f64 (+.f64 x eps) #s(literal 5 binary64))
✓	accuracy	87.0%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Samples

23.0ms	204×	0	valid
5.0ms	37×	1	valid
3.0ms	15×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-pow: 17.0ms (75.1% of total)

ival-add: 2.0ms (8.8% of total)

adjust: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (- (pow (+ x eps) 5) (pow x 5))>
#<alt (pow (+ x eps) 5)>
#<alt (+ x eps)>
#<alt (pow x 5)>

Outputs
#<alt (pow eps 5)>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))>
#<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))>
#<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))>
#<alt (* (pow x 4) (+ eps (* 4 eps)))>
#<alt (* (pow x 4) (+ eps (+ (* 2 (/ (pow eps 2) x)) (+ (* 4 eps) (* 8 (/ (pow eps 2) x))))))>
#<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))))))))>
#<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))))))))))>
#<alt (* (pow x 4) (+ eps (* 4 eps)))>
#<alt (* (pow x 4) (+ eps (+ (* -1 (/ (+ (* -4 (pow eps 2)) (* -1 (+ (* 2 (pow eps 2)) (* 4 (pow eps 2))))) x)) (* 4 eps))))>
#<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))))>
#<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))))>
#<alt (* eps (+ (* 4 (pow x 4)) (pow x 4)))>
#<alt (* eps (+ (* 4 (pow x 4)) (+ (* eps (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow x 2)) (* 4 (pow x 2)))))) (pow x 4))))>
#<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))))>
#<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))))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))>
#<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)))))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))>
#<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)))>
#<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)))>
#<alt (pow eps 5)>
#<alt (+ (* x (+ (* 4 (pow eps 4)) (pow eps 4))) (pow eps 5))>
#<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))>
#<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))>
#<alt (pow x 5)>
#<alt (* (pow x 5) (+ 1 (+ (* 4 (/ eps x)) (/ eps x))))>
#<alt (* (pow x 5) (+ 1 (+ (* 2 (/ (pow eps 2) (pow x 2))) (+ (* 4 (/ eps x)) (+ (* 8 (/ (pow eps 2) (pow x 2))) (/ eps x))))))>
#<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)))))))))>
#<alt (pow x 5)>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ eps (* 4 eps)) x)) 1)))>
#<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)))>
#<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)))>
#<alt (pow x 5)>
#<alt (+ (* eps (+ (* 4 (pow x 4)) (pow x 4))) (pow x 5))>
#<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))>
#<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))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (+ (* 4 (/ x eps)) (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (+ (* 2 (/ (pow x 2) (pow eps 2))) (+ (* 4 (/ x eps)) (+ (* 8 (/ (pow x 2) (pow eps 2))) (/ x eps))))))>
#<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)))))))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -1 (/ (+ x (* 4 x)) eps)) 1)))>
#<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)))>
#<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)))>
#<alt eps>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt x>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt (* x (+ 1 (/ eps x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 1)))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt (+ eps x)>
#<alt eps>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt (* eps (+ 1 (/ x eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ x eps)) 1)))>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(- (pow (+ x eps) 5) (pow x 5))
1.0ms	x	@	-inf	(- (pow (+ x eps) 5) (pow x 5))
1.0ms	x	@	inf	(- (pow (+ x eps) 5) (pow x 5))
1.0ms	x	@	0	(- (pow (+ x eps) 5) (pow x 5))
0.0ms	eps	@	inf	(- (pow (+ x eps) 5) (pow x 5))

rewrite582.0ms (5.5%)

Memory

16.8MiB live, 447.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 520×	`-lowering-.f32`
4 520×	`-lowering-.f64`
3 728×	`accelerator-lowering-fma.f32`
3 728×	`accelerator-lowering-fma.f64`
3 216×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	48	20
2	346	20
3	3542	20
0	9396	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 282

Calls

Call 1

Inputs
(- (pow (+ x eps) 5) (pow x 5))
(pow (+ x eps) 5)
(+ x eps)
(pow x 5)

Outputs
(+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x))))
(+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 15 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) #s(literal 0 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) (*.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))))))
(fma.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (/.f64 (pow.f64 (+.f64 x eps) #s(literal 10 binary64)) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x x) (pow.f64 (+.f64 x eps) #s(literal 5 binary64))) (pow.f64 (+.f64 x eps) #s(literal 10 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal -1 binary64) (pow.f64 (+.f64 x eps) #s(literal 5 binary64)))
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(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps x) (*.f64 (+.f64 x eps) (-.f64 eps x))) #s(literal -1 binary64))
(.f64 (+.f64 x eps) (.f64 (-.f64 x eps) (/.f64 #s(literal 1 binary64) (-.f64 x eps))))
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)))
(.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))))
(.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (.f64 (+.f64 x eps) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (.f64 eps eps)))))
(.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (/.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (exp.f64 (neg.f64 (log.f64 (-.f64 x eps)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))
(.f64 (neg.f64 (.f64 (+.f64 x eps) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (.f64 eps eps))) (fma.f64 x (.f64 x x) (.f64 eps (*.f64 eps eps))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (+.f64 x eps) (-.f64 x eps)))
(.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (*.f64 (+.f64 x eps) (-.f64 x eps))) (+.f64 x eps))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (-.f64 eps x) (.f64 (-.f64 eps x) (-.f64 eps x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 eps (-.f64 eps x)) (-.f64 (.f64 eps (-.f64 eps x)) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 x (-.f64 x eps) (.f64 eps eps)) (-.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))) (-.f64 (.f64 x x) (.f64 eps (-.f64 eps x))))
(.f64 (/.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) (.f64 (fma.f64 x x (.f64 eps (+.f64 x eps))) (-.f64 x eps))) (fma.f64 x x (*.f64 eps (+.f64 x eps))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 5 binary64))) (log.f64 x)))
(pow.f64 x #s(literal 5 binary64))
(pow.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 5/4 binary64))
(pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 5/2 binary64)))
(.f64 (.f64 x (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (.f64 x (.f64 x x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 15/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 5/2 binary64))) (neg.f64 (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 (pow.f64 x #s(literal 15/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))

simplify698.0ms (6.6%)

Memory

-32.2MiB live, 889.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 244×	`accelerator-lowering-fma.f32`
19 244×	`accelerator-lowering-fma.f64`
6 916×	`-lowering-.f32`
6 916×	`-lowering-.f64`
3 992×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	1372
1	817	1243
2	2860	1056
0	8403	988

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(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 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 (+ (* -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))))
(* 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) (+ 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)
(* -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)
(+ (* 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 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)))))))))
(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)))
(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))
(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)
(* -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
(+ eps x)
(+ eps x)
(+ eps x)
x
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
(* x (+ 1 (/ eps x)))
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
x
(+ eps x)
(+ eps x)
(+ eps x)
eps
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
(* eps (+ 1 (/ x eps)))
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)

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

eval54.0ms (0.5%)

Memory: 6.0MiB live, 155.7MiB allocated
Compiler: Compiled 15 573 to 1 221 computations (92.2% saved)

prune54.0ms (0.5%)

Memory

-2.6MiB live, 157.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	356	10	366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	357	10	367

Accuracy

99.9%

Counts

367 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))
▶	85.6%	(pow.f64 eps #s(literal 5 binary64))
	83.5%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
	78.4%	(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
	81.8%	(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 eps #s(literal 5 binary64)) (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) x)))
▶	86.0%	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
▶	81.9%	(.f64 eps (fma.f64 eps (fma.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64) (.f64 eps (.f64 (.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
	82.0%	(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 5 binary64) x) (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64))) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
▶	81.8%	(.f64 eps (fma.f64 eps (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
	81.6%	(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))

Compiler

Compiled 344 to 214 computations (37.8% saved)

simplify98.0ms (0.9%)

Memory

-9.2MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 eps (fma.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64) (.f64 eps (.f64 (.f64 x x) #s(literal 10 binary64)))) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (fma.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64) (.f64 eps (.f64 (.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	cost-diff	832	(fma.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64) (.f64 eps (.f64 (*.f64 x x) #s(literal 10 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 x x)) #s(literal 10 binary64))
✓	cost-diff	0	(fma.f64 eps (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64)) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	cost-diff	0	(/.f64 x eps)
✓	cost-diff	0	(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
✓	cost-diff	0	(pow.f64 eps #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 eps #s(literal 5 binary64))
✓	cost-diff	0	(pow.f64 eps #s(literal 5 binary64))
✓	cost-diff	0	(pow.f64 eps #s(literal 4 binary64))
✓	cost-diff	0	(*.f64 x (pow.f64 eps #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))

Rules

1 264×	`accelerator-lowering-fma.f32`
1 264×	`accelerator-lowering-fma.f64`
1 214×	`-lowering-.f32`
1 214×	`-lowering-.f64`
786×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	199
1	82	187
2	188	187
3	442	187
4	827	187
5	1134	187
6	1160	187
7	1162	187
8	1162	187
9	1330	187
10	1330	187
11	1382	187
12	1382	187
13	1418	187
14	1537	187
15	1537	187
16	1543	187
17	1554	187
18	1554	187
19	1554	187
20	1586	187
21	1586	187
0	1586	180

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* 5 (* x (pow eps 4))) (pow eps 5))
5
(* x (pow eps 4))
x
(pow eps 4)
eps
4
(pow eps 5)
(pow eps 5)
eps
5
(* (pow eps 5) (+ (* 5 (/ x eps)) 1))
(pow eps 5)
eps
5
(+ (* 5 (/ x eps)) 1)
(/ x eps)
x
1
(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))))
eps
(+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))
(* (* x (* x x)) 10)
(* x (* x x))
x
(* x x)
10
(* 5 (pow x 4))
5
(pow x 4)
4
(* eps (+ (* eps (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))) (* 5 (pow x 4))))
eps
(+ (* eps (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))) (* 5 (pow x 4)))
(+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))
(* x (* x x))
x
(* x x)
10
(* eps (* (* x x) 10))
(* (* x x) 10)
(* 5 (pow x 4))
5
(pow x 4)
4

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

localize188.0ms (1.8%)

Memory

-28.7MiB live, 205.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 eps (.f64 (*.f64 x x) #s(literal 10 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64) (.f64 eps (.f64 (*.f64 x x) #s(literal 10 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 10 binary64))
✓	accuracy	99.9%	(.f64 eps (fma.f64 eps (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
✓	accuracy	99.9%	(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x (*.f64 x x)) #s(literal 10 binary64))
✓	accuracy	100.0%	(pow.f64 eps #s(literal 5 binary64))
✓	accuracy	100.0%	(/.f64 x eps)
✓	accuracy	99.8%	(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
✓	accuracy	99.0%	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
✓	accuracy	100.0%	(pow.f64 eps #s(literal 5 binary64))
✓	accuracy	100.0%	(pow.f64 eps #s(literal 5 binary64))
✓	accuracy	100.0%	(pow.f64 eps #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x (pow.f64 eps #s(literal 4 binary64)))
✓	accuracy	100.0%	(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))

Samples

82.0ms

256×

valid

Compiler

Compiled 207 to 31 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 21.0ms (51.7% of total)

ival-pow: 12.0ms (29.5% of total)

ival-add: 5.0ms (12.3% of total)

ival-div: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.3%)

Memory

23.9MiB live, 61.2MiB allocated

Counts

17 → 336

Calls

Call 1

Inputs
#<alt (+ (* 5 (* x (pow eps 4))) (pow eps 5))>
#<alt (* x (pow eps 4))>
#<alt (pow eps 4)>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ (* 5 (/ x eps)) 1))>
#<alt (+ (* 5 (/ x eps)) 1)>
#<alt (/ x eps)>
#<alt (* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))))>
#<alt (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))>
#<alt (* (* x (* x x)) 10)>
#<alt (* x (* x x))>
#<alt (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))>
#<alt (* eps (+ (* eps (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))) (* 5 (pow x 4))))>
#<alt (+ (* eps (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))) (* 5 (pow x 4)))>
#<alt (* 5 (pow x 4))>
#<alt (* (* x x) 10)>
#<alt (* eps (* (* x x) 10))>

Outputs
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (* (pow eps 4) x)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 4)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* 5 (pow x 4))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (* 10 (* eps (pow x 3)))>
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* eps (pow x 3)))>
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))>
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))>
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))>
#<alt (* 10 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))>
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))>
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (* 10 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* 10 (pow x 3))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* 10 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* 10 (pow x 3))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))>
#<alt (* 5 (pow x 4))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))>
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))>
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* 10 (* eps (pow x 2)))>

Calls

84 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))))
1.0ms	eps	@	0	(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))))
1.0ms	eps	@	inf	(* x (pow eps 4))
1.0ms	x	@	0	(+ (* 5 (* x (pow eps 4))) (pow eps 5))
1.0ms	x	@	0	(* (pow eps 5) (+ (* 5 (/ x eps)) 1))

rewrite414.0ms (3.9%)

Memory

-15.4MiB live, 461.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 764×	`accelerator-lowering-fma.f32`
8 764×	`accelerator-lowering-fma.f64`
5 274×	`-lowering-.f32`
5 274×	`-lowering-.f64`
3 806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	153
1	165	141
2	1262	141
0	8155	134

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 499

Calls

Call 1

Inputs
(+ (* 5 (* x (pow eps 4))) (pow eps 5))
(* x (pow eps 4))
(pow eps 4)
(pow eps 5)
(* (pow eps 5) (+ (* 5 (/ x eps)) 1))
(+ (* 5 (/ x eps)) 1)
(/ x eps)
(* eps (+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4))))
(+ (* eps (* (* x (* x x)) 10)) (* 5 (pow x 4)))
(* (* x (* x x)) 10)
(* x (* x x))
(+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))
(* eps (+ (* eps (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))) (* 5 (pow x 4))))
(+ (* eps (+ (* (* x (* x x)) 10) (* eps (* (* x x) 10)))) (* 5 (pow x 4)))
(* 5 (pow x 4))
(* (* x x) 10)
(* eps (* (* x x) 10))

Outputs
(+.f64 (.f64 #s(literal 5 binary64) (.f64 x (.f64 (.f64 eps eps) (*.f64 eps eps)))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 (.f64 eps eps) (*.f64 eps eps)))))
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(fma.f64 #s(literal 5 binary64) (.f64 x (.f64 (.f64 eps eps) (.f64 eps eps))) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 x (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 5 binary64)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (.f64 x (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal 5 binary64) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 x (.f64 (.f64 eps eps) (*.f64 eps eps)))))
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(fma.f64 (.f64 #s(literal 5 binary64) x) (.f64 (.f64 eps eps) (.f64 eps eps)) (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) x (pow.f64 eps #s(literal 5 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 5 binary64) x) (.f64 eps eps)) (.f64 eps eps) (pow.f64 eps #s(literal 5 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 100 binary64)) (.f64 (+.f64 x eps) (+.f64 x eps)))) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal -5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 100 binary64)) (.f64 (+.f64 x eps) (+.f64 x eps)))) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal -5 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (/.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal -5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal -5 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (+.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 100 binary64)) (.f64 (+.f64 x eps) (+.f64 x eps)))) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal -5 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 (.f64 #s(literal 25 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal -5 binary64) (.f64 x (.f64 x (.f64 x x))))))))
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(.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 5 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64))
(.f64 (.f64 #s(literal 5 binary64) (.f64 x x)) (.f64 x x))
(.f64 x (.f64 x #s(literal 10 binary64)))
(.f64 (.f64 x x) #s(literal 10 binary64))
(.f64 #s(literal 10 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 10 binary64)) x)
(.f64 x (.f64 (*.f64 x #s(literal 10 binary64)) eps))
(.f64 eps (.f64 (*.f64 x x) #s(literal 10 binary64)))
(.f64 (.f64 x x) (*.f64 #s(literal 10 binary64) eps))
(.f64 #s(literal 10 binary64) (.f64 eps (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 10 binary64)) eps)
(.f64 (.f64 eps (*.f64 x x)) #s(literal 10 binary64))
(.f64 (.f64 eps x) (*.f64 x #s(literal 10 binary64)))
(.f64 (.f64 eps #s(literal 10 binary64)) (*.f64 x x))

simplify606.0ms (5.7%)

Memory

5.9MiB live, 480.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 376×	`accelerator-lowering-fma.f32`
18 376×	`accelerator-lowering-fma.f64`
5 118×	`-lowering-.f32`
5 118×	`-lowering-.f64`
1 906×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	2786
1	590	2698
2	1772	2606
3	3395	2588
4	7447	2588
0	8054	2444

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

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

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

eval154.0ms (1.4%)

Memory: 5.8MiB live, 206.5MiB allocated
Compiler: Compiled 31 324 to 1 776 computations (94.3% saved)

prune146.0ms (1.4%)

Memory

-11.4MiB live, 186.6MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	903	19	922
Fresh	1	4	5
Picked	4	1	5
Done	0	0	0
Total	908	24	932

Accuracy

100.0%

Counts

932 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.9%	(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
	86.0%	(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
	81.7%	(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
✓	85.6%	(pow.f64 eps #s(literal 5 binary64))
	86.0%	(/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
	81.9%	(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
	83.5%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
	81.7%	(.f64 (fma.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))))) eps)
	78.4%	(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
▶	86.0%	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
	85.9%	(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
	81.7%	(.f64 (.f64 x (.f64 x x)) (.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
	81.5%	(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))
▶	68.5%	(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
▶	81.9%	(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
	82.0%	(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 5 binary64) x) (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64))) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
	81.9%	(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))))
	81.7%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
	81.9%	(.f64 eps (.f64 (.f64 x x) (fma.f64 eps (.f64 #s(literal 10 binary64) (+.f64 eps x)) (.f64 #s(literal 5 binary64) (.f64 x x)))))
	81.5%	(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
	68.5%	(.f64 eps (.f64 (.f64 eps (.f64 x (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
	68.6%	(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
▶	81.6%	(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
▶	68.6%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))

Compiler

Compiled 843 to 490 computations (41.9% saved)

simplify300.0ms (2.8%)

Memory

-3.7MiB live, 449.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	cost-diff	0	(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	cost-diff	5504	(pow.f64 x #s(literal 4 binary64))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
✓	cost-diff	640	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps))))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 10 binary64) (+.f64 eps x)))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
✓	cost-diff	0	(.f64 eps (.f64 eps x))
✓	cost-diff	0	(.f64 x (.f64 eps (*.f64 eps x)))
✓	cost-diff	0	(.f64 eps (.f64 x (.f64 eps (.f64 eps x))))
✓	cost-diff	0	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
✓	cost-diff	0	(fma.f64 #s(literal 5 binary64) x eps)
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
✓	cost-diff	1024	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
✓	cost-diff	5184	(pow.f64 eps #s(literal 5 binary64))

Rules

13 658×	`accelerator-lowering-fma.f32`
13 658×	`accelerator-lowering-fma.f64`
4 064×	`-lowering-.f32`
4 064×	`-lowering-.f64`
1 420×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	214
1	100	206
2	307	206
3	1000	202
4	1365	202
5	1735	202
6	2101	202
7	2324	202
8	2392	202
9	2521	202
10	2689	202
11	3123	202
12	5426	202
13	5833	202
14	6022	200
15	6396	200
16	7734	200
0	8012	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (pow eps 5) (/ (+ (* 5 x) eps) eps))
(pow eps 5)
eps
5
(/ (+ (* 5 x) eps) eps)
(+ (* 5 x) eps)
x
(* 10 (* eps (* x (* eps (* eps x)))))
10
(* eps (* x (* eps (* eps x))))
eps
(* x (* eps (* eps x)))
x
(* eps (* eps x))
(* eps x)
(* (* eps eps) (* x (* x (* 10 (+ eps x)))))
(* eps eps)
eps
(* x (* x (* 10 (+ eps x))))
x
(* x (* 10 (+ eps x)))
(* 10 (+ eps x))
10
(+ eps x)
(* eps (+ (* (* x (* x (* x x))) 5) (* eps (* (* (* x x) 10) (+ x eps)))))
eps
(+ (* (* x (* x (* x x))) 5) (* eps (* (* (* x x) 10) (+ x eps))))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
5
(* eps (* (* (* x x) 10) (+ x eps)))
(* (* (* x x) 10) (+ x eps))
(* (* x x) 10)
10
(+ x eps)
(* eps (* 5 (pow x 4)))
eps
(* 5 (pow x 4))
5
(pow x 4)
x
4

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

localize106.0ms (1%)

Memory

14.2MiB live, 171.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 4 binary64))
✓	accuracy	99.9%	(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
✓	accuracy	99.9%	(*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 10 binary64))
✓	accuracy	99.9%	(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
✓	accuracy	99.9%	(*.f64 #s(literal 10 binary64) (+.f64 eps x))
✓	accuracy	99.8%	(.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x))))
✓	accuracy	99.7%	(.f64 x (.f64 #s(literal 10 binary64) (+.f64 eps x)))
✓	accuracy	100.0%	(.f64 eps (.f64 x (.f64 eps (.f64 eps x))))
✓	accuracy	99.9%	(.f64 x (.f64 eps (*.f64 eps x)))
✓	accuracy	99.9%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
✓	accuracy	99.9%	(.f64 eps (.f64 eps x))
✓	accuracy	100.0%	(fma.f64 #s(literal 5 binary64) x eps)
✓	accuracy	100.0%	(pow.f64 eps #s(literal 5 binary64))
✓	accuracy	99.8%	(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
✓	accuracy	99.0%	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))

Samples

60.0ms	239×	0	valid
7.0ms	15×	1	valid
1.0ms	1×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 217 to 36 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 30.0ms (60.4% of total)

ival-pow: 11.0ms (22.1% of total)

ival-add: 5.0ms (10.1% of total)

ival-div: 2.0ms (4% of total)

adjust: 1.0ms (2% of total)

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

19.7MiB live, 57.4MiB allocated

Counts

22 → 444

Calls

Call 1

Inputs
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (/ (+ (* 5 x) eps) eps))>
#<alt (/ (+ (* 5 x) eps) eps)>
#<alt (+ (* 5 x) eps)>
#<alt (* 10 (* eps (* x (* eps (* eps x)))))>
#<alt (* eps (* x (* eps (* eps x))))>
#<alt (* x (* eps (* eps x)))>
#<alt (* eps (* eps x))>
#<alt (* (* eps eps) (* x (* x (* 10 (+ eps x)))))>
#<alt (* eps eps)>
#<alt (* x (* x (* 10 (+ eps x))))>
#<alt (* x (* 10 (+ eps x)))>
#<alt (+ (* (* x (* x (* x x))) 5) (* eps (* (* (* x x) 10) (+ x eps))))>
#<alt (* eps (+ (* (* x (* x (* x x))) 5) (* eps (* (* (* x x) 10) (+ x eps)))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (pow x 4)>
#<alt (* eps (* 5 (pow x 4)))>
#<alt (* 5 (pow x 4))>
#<alt (* 10 (+ eps x))>
#<alt (* (* x x) 10)>
#<alt (* (* (* x x) 10) (+ x eps))>

Outputs
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt eps>
#<alt (+ eps (* 5 x))>
#<alt (+ eps (* 5 x))>
#<alt (+ eps (* 5 x))>
#<alt (* 5 x)>
#<alt (* x (+ 5 (/ eps x)))>
#<alt (* x (+ 5 (/ eps x)))>
#<alt (* x (+ 5 (/ eps x)))>
#<alt (* 5 x)>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))>
#<alt (* -1 (* x (- (* -1 (/ eps x)) 5)))>
#<alt (* 5 x)>
#<alt (+ eps (* 5 x))>
#<alt (+ eps (* 5 x))>
#<alt (+ eps (* 5 x))>
#<alt eps>
#<alt (* eps (+ 1 (* 5 (/ x eps))))>
#<alt (* eps (+ 1 (* 5 (/ x eps))))>
#<alt (* eps (+ 1 (* 5 (/ x eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 1)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 10 (/ (pow eps 3) x)) (* 10 (pow eps 2))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* 10 (pow x 3))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* 10 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* 10 (pow x 3))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* 10 (* eps x))>
#<alt (* x (+ (* 10 eps) (* 10 x)))>
#<alt (* x (+ (* 10 eps) (* 10 x)))>
#<alt (* x (+ (* 10 eps) (* 10 x)))>
#<alt (* 10 (pow x 2))>
#<alt (* (pow x 2) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 2) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 2) (+ 10 (* 10 (/ eps x))))>
#<alt (* 10 (pow x 2))>
#<alt (* (pow x 2) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 2) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 2) (+ 10 (* 10 (/ eps x))))>
#<alt (* 10 (pow x 2))>
#<alt (+ (* 10 (* eps x)) (* 10 (pow x 2)))>
#<alt (+ (* 10 (* eps x)) (* 10 (pow x 2)))>
#<alt (+ (* 10 (* eps x)) (* 10 (pow x 2)))>
#<alt (* 10 (* eps x))>
#<alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))>
#<alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))>
#<alt (* eps (+ (* 10 x) (* 10 (/ (pow x 2) eps))))>
#<alt (* 10 (* eps x))>
#<alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -10 x) (* -10 (/ (pow x 2) eps)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 2)) (* x (+ (* 5 x) (* 10 eps)))))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ 5 (+ (* 10 (/ eps x)) (* 10 (/ (pow eps 2) (pow x 2))))))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))>
#<alt (* (pow x 4) (+ 5 (* -1 (/ (+ (* -10 eps) (* -10 (/ (pow eps 2) x))) x))))>
#<alt (* 5 (pow x 4))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))>
#<alt (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* 10 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps))) eps)) (* 10 (pow x 2))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* eps (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3))))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* (pow eps 3) (+ (* 5 (/ (pow x 4) (pow eps 2))) (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -10 (pow x 2)) (* -1 (/ (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))) eps)))))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 (* (pow eps 2) x)) (* 10 (pow eps 3))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* 10 (pow eps 3)) (* x (+ (* 5 (* eps x)) (* 10 (pow eps 2))))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 5 eps) (+ (* 10 (/ (pow eps 2) x)) (* 10 (/ (pow eps 3) (pow x 2))))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -10 (/ (pow eps 3) x)) (* -10 (pow eps 2))) x)) (* 5 eps)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 5 (pow x 4))>
#<alt (* 10 x)>
#<alt (+ (* 10 eps) (* 10 x))>
#<alt (+ (* 10 eps) (* 10 x))>
#<alt (+ (* 10 eps) (* 10 x))>
#<alt (* 10 eps)>
#<alt (* eps (+ 10 (* 10 (/ x eps))))>
#<alt (* eps (+ 10 (* 10 (/ x eps))))>
#<alt (* eps (+ 10 (* 10 (/ x eps))))>
#<alt (* 10 eps)>
#<alt (* -1 (* eps (- (* -10 (/ x eps)) 10)))>
#<alt (* -1 (* eps (- (* -10 (/ x eps)) 10)))>
#<alt (* -1 (* eps (- (* -10 (/ x eps)) 10)))>
#<alt (* 10 eps)>
#<alt (+ (* 10 eps) (* 10 x))>
#<alt (+ (* 10 eps) (* 10 x))>
#<alt (+ (* 10 eps) (* 10 x))>
#<alt (* 10 x)>
#<alt (* x (+ 10 (* 10 (/ eps x))))>
#<alt (* x (+ 10 (* 10 (/ eps x))))>
#<alt (* x (+ 10 (* 10 (/ eps x))))>
#<alt (* 10 x)>
#<alt (* -1 (* x (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* x (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* x (- (* -10 (/ eps x)) 10)))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (pow x 2))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* (pow x 2) (+ (* 10 eps) (* 10 x)))>
#<alt (* 10 (pow x 3))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* (pow x 3) (+ 10 (* 10 (/ eps x))))>
#<alt (* 10 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* -1 (* (pow x 3) (- (* -10 (/ eps x)) 10)))>
#<alt (* 10 (pow x 3))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (+ (* 10 (* eps (pow x 2))) (* 10 (pow x 3)))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* eps (+ (* 10 (/ (pow x 3) eps)) (* 10 (pow x 2))))>
#<alt (* 10 (* eps (pow x 2)))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>
#<alt (* -1 (* eps (+ (* -10 (/ (pow x 3) eps)) (* -10 (pow x 2)))))>

Calls

111 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(* x (* 10 (+ eps x)))
3.0ms	x	@	-inf	(* (* eps eps) (* x (* x (* 10 (+ eps x)))))
1.0ms	x	@	0	(* 10 (* eps (* x (* eps (* eps x)))))
1.0ms	eps	@	0	(* eps (* 5 (pow x 4)))
1.0ms	eps	@	0	(* 10 (* eps (* x (* eps (* eps x)))))

rewrite393.0ms (3.7%)

Memory

-13.7MiB live, 739.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 428×	`accelerator-lowering-fma.f32`
7 428×	`accelerator-lowering-fma.f64`
6 160×	`-lowering-.f32`
6 160×	`-lowering-.f64`
4 414×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	166
1	161	158
2	1073	156
0	8946	151

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 060

Calls

Call 1

Inputs
(pow eps 5)
(* (pow eps 5) (/ (+ (* 5 x) eps) eps))
(/ (+ (* 5 x) eps) eps)
(+ (* 5 x) eps)
(* 10 (* eps (* x (* eps (* eps x)))))
(* eps (* x (* eps (* eps x))))
(* x (* eps (* eps x)))
(* eps (* eps x))
(* (* eps eps) (* x (* x (* 10 (+ eps x)))))
(* eps eps)
(* x (* x (* 10 (+ eps x))))
(* x (* 10 (+ eps x)))
(+ (* (* x (* x (* x x))) 5) (* eps (* (* (* x x) 10) (+ x eps))))
(* eps (+ (* (* x (* x (* x x))) 5) (* eps (* (* (* x x) 10) (+ x eps)))))
(* x (* x (* x x)))
(* x (* x x))
(pow x 4)
(* eps (* 5 (pow x 4)))
(* 5 (pow x 4))
(* 10 (+ eps x))
(* (* x x) 10)
(* (* (* x x) 10) (+ x eps))

Outputs
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 eps)))
(exp.f64 (.f64 (log.f64 (.f64 eps eps)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 eps #s(literal 5/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 eps) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 5/2 binary64) (*.f64 (log.f64 eps) #s(literal 5/2 binary64))))
(pow.f64 eps #s(literal 5 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 5/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))
(*.f64 (pow.f64 eps #s(literal 5/2 binary64)) (pow.f64 eps #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 eps #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps) (pow.f64 eps #s(literal 5 binary64))))
(neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps)))
(neg.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (neg.f64 eps)))
(neg.f64 (/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x #s(literal -5 binary64) (neg.f64 eps))) eps))
(/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (fma.f64 #s(literal 5 binary64) x eps)) (pow.f64 eps #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) eps)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x #s(literal -5 binary64) (neg.f64 eps))) (neg.f64 eps))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))) (.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (*.f64 x x) #s(literal 25 binary64))) eps))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))) (.f64 eps (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (*.f64 x x) #s(literal 25 binary64)))))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps))) (*.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) eps))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps))) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(/.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))) #s(literal 1 binary64)) (.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64))) eps))
(/.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))) #s(literal -1 binary64)) (.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64))) (neg.f64 eps)))
(/.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) eps))
(/.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps))) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (neg.f64 eps)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (/.f64 eps (fma.f64 x #s(literal -5 binary64) (neg.f64 eps))))
(/.f64 (neg.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 eps (fma.f64 x #s(literal -5 binary64) (neg.f64 eps))))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))) eps)) (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64))))
(/.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)) eps)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))
(/.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) #s(literal 1 binary64)) eps)
(/.f64 (.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) #s(literal -1 binary64)) (neg.f64 eps))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))) #s(literal -1 binary64))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(*.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 5 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps))))
(.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(.f64 (pow.f64 eps #s(literal 5/2 binary64)) (.f64 (pow.f64 eps #s(literal 5/2 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)))
(.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (/.f64 #s(literal 1 binary64) eps))
(.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 x #s(literal -5 binary64) (neg.f64 eps))) (/.f64 #s(literal -1 binary64) eps))
(.f64 (.f64 (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps) (pow.f64 eps #s(literal 5/2 binary64))) (pow.f64 eps #s(literal 5/2 binary64)))
(.f64 (/.f64 (pow.f64 eps #s(literal 5/2 binary64)) eps) (.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 #s(literal 5 binary64) x eps)))
(.f64 (/.f64 (pow.f64 eps #s(literal 5/2 binary64)) (/.f64 eps (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))))) (/.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))))
(.f64 (/.f64 (pow.f64 eps #s(literal 5/2 binary64)) (/.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)))) (/.f64 (pow.f64 eps #s(literal 5/2 binary64)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(*.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps))
(*.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) eps) (fma.f64 #s(literal 5 binary64) x eps))
(.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 eps (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))))
(.f64 (/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -5 binary64) eps)))
(*.f64 (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) #s(literal -1 binary64)) (/.f64 (pow.f64 eps #s(literal 5 binary64)) eps))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 eps (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)))) (/.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) eps) (.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 5 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 5 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(+.f64 (.f64 eps (/.f64 #s(literal 1 binary64) eps)) (.f64 (*.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(+.f64 (.f64 (.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (fma.f64 #s(literal 5 binary64) x eps))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))) eps) (/.f64 (/.f64 (*.f64 eps eps) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))) eps))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 eps)) (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) (/.f64 (.f64 eps eps) (*.f64 eps (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))))
(fma.f64 eps (/.f64 #s(literal 1 binary64) eps) (.f64 (.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(fma.f64 (.f64 #s(literal 5 binary64) x) (/.f64 #s(literal 1 binary64) eps) (.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) eps (.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 5 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 #s(literal 5 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(neg.f64 (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) eps)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 eps (fma.f64 #s(literal 5 binary64) x eps))))
(/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)
(/.f64 (fma.f64 x #s(literal -5 binary64) (neg.f64 eps)) (neg.f64 eps))
(/.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))) (.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64))) eps))
(/.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))) (.f64 eps (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))))
(/.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))) (.f64 (fma.f64 eps eps (.f64 (*.f64 #s(literal 5 binary64) x) (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)))) eps))
(/.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64))) (.f64 (neg.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))) (neg.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 #s(literal 5 binary64) x eps)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))) (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))) (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64))) eps) (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) eps) (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64))) (/.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (*.f64 x x)) #s(literal 125 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (*.f64 eps eps)) eps)))
(/.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)) (.f64 (fma.f64 #s(literal 5 binary64) x (neg.f64 eps)) eps))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)) (.f64 eps (fma.f64 #s(literal 5 binary64) x (neg.f64 eps))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 25 binary64)) (.f64 eps eps)) (.f64 (fma.f64 x #s(literal -5 binary64) eps) (neg.f64 eps)))
(/.f64 #s(literal -1 binary64) (/.f64 eps (fma.f64 x #s(literal -5 binary64) (neg.f64 eps))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) x eps)) (neg.f64 eps)))
(/.f64 (neg.f64 (fma.f64 eps (.f64 eps eps) (.f64 (.f64 x (.f64 x x)) #s(literal 125 binary64)))) (.f64 (neg.f64 eps) (fma.f64 eps (+.f64 eps (.f64 x #s(literal -5 binary64))) (.f64 (.f64 x x) #s(literal 25 binary64)))))
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(.f64 (.f64 (.f64 x (.f64 x #s(literal 10 binary64))) (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 10 binary64))) (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 10 binary64))) (*.f64 (+.f64 eps x) (-.f64 eps x))) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (.f64 (.f64 x (.f64 x #s(literal 10 binary64))) (*.f64 (+.f64 eps x) (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (.f64 x (-.f64 x eps)))))
(.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (.f64 x (*.f64 x #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(.f64 (.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (.f64 x (*.f64 x #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))

simplify498.0ms (4.7%)

Memory

23.2MiB live, 766.9MiB allocated

Algorithm

1×	egg-herbie

Rules

23 810×	`accelerator-lowering-fma.f32`
23 810×	`accelerator-lowering-fma.f64`
5 554×	`-lowering-.f32`
5 554×	`-lowering-.f64`
2 692×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	3356
1	708	3300
2	2102	3292
3	4277	3248
0	8111	3148

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval182.0ms (1.7%)

Memory: 10.2MiB live, 289.2MiB allocated
Compiler: Compiled 35 815 to 3 053 computations (91.5% saved)

prune202.0ms (1.9%)

Memory

-14.5MiB live, 302.6MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	1 493	11	1 504
Fresh	14	4	18
Picked	1	4	5
Done	0	1	1
Total	1 508	20	1 528

Accuracy

100.0%

Counts

1 528 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(pow.f64 eps #s(literal 5 binary64))
▶	86.0%	(/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
	83.5%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
	85.8%	(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
✓	86.0%	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
	81.5%	(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) (.f64 x x)) (*.f64 x x))
▶	81.5%	(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
	81.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
	81.5%	(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
▶	68.6%	(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
	81.9%	(.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 eps (+.f64 eps x)))))))
✓	81.9%	(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
	82.0%	(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 5 binary64) x) (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64))) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
▶	81.7%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
	81.5%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
	81.9%	(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 10 binary64)) (+.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x x)))))
	68.6%	(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
✓	81.6%	(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
▶	68.6%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
✓	68.6%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))

Compiler

Compiled 537 to 311 computations (42.1% saved)

simplify45.0ms (0.4%)

Memory

11.1MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))
✓	cost-diff	0	(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 eps #s(literal 5 binary64))
✓	cost-diff	0	(.f64 (.f64 eps #s(literal 5 binary64)) x)
✓	cost-diff	0	(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
✓	cost-diff	0	(.f64 eps (.f64 eps x))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(.f64 #s(literal 10 binary64) (.f64 eps x))
✓	cost-diff	0	(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
✓	cost-diff	0	(*.f64 eps x)
✓	cost-diff	0	(.f64 (.f64 eps x) (*.f64 eps x))
✓	cost-diff	0	(.f64 eps (.f64 (.f64 eps x) (.f64 eps x)))
✓	cost-diff	0	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
✓	cost-diff	0	(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 eps #s(literal 5 binary64))
✓	cost-diff	1088	(/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))

Rules

984×	`-lowering-.f32`
984×	`-lowering-.f64`
762×	`associate-r`
526×	`associate-l`
420×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
1	83	167
2	260	159
3	577	159
4	734	159
5	781	159
6	821	159
7	859	159
8	935	159
9	935	159
10	936	159
11	1139	159
12	1139	159
13	1139	159
0	1139	153

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (pow eps 5) (/ 1 (+ (* 5 (/ x eps)) 1)))
(pow eps 5)
eps
5
(/ 1 (+ (* 5 (/ x eps)) 1))
1
(+ (* 5 (/ x eps)) 1)
(/ x eps)
x
(* 10 (* eps (* (* eps x) (* eps x))))
10
(* eps (* (* eps x) (* eps x)))
eps
(* (* eps x) (* eps x))
(* eps x)
x
(* (* 10 (* eps x)) (* eps (* eps x)))
(* 10 (* eps x))
10
(* eps x)
eps
x
(* eps (* eps x))
(* (* (* eps 5) x) (* x (* x x)))
(* (* eps 5) x)
(* eps 5)
eps
5
x
(* x (* x x))
(* x x)
(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))
eps
(* (* x (* x x)) (+ (* eps 10) (* 5 x)))
(* x (* x x))
x
(* x x)
(+ (* eps 10) (* 5 x))
10
(* 5 x)
5

Outputs
(/ (pow eps 5) (/ 1 (+ (* 5 (/ x eps)) 1)))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
(/ 1 (+ (* 5 (/ x eps)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* 5 (/ x eps)) 1)
(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
(/ x eps)
(/.f64 x eps)
x
(* 10 (* eps (* (* eps x) (* eps x))))
(.f64 eps (.f64 eps (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 x x)))))
10
#s(literal 10 binary64)
(* eps (* (* eps x) (* eps x)))
(.f64 eps (.f64 eps (.f64 eps (.f64 x x))))
eps
(* (* eps x) (* eps x))
(.f64 eps (.f64 eps (*.f64 x x)))
(* eps x)
(*.f64 eps x)
x
(* (* 10 (* eps x)) (* eps (* eps x)))
(.f64 eps (.f64 eps (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 x x)))))
(* 10 (* eps x))
(.f64 x (.f64 eps #s(literal 10 binary64)))
10
#s(literal 10 binary64)
(* eps x)
(*.f64 eps x)
eps
x
(* eps (* eps x))
(.f64 eps (.f64 eps x))
(* (* (* eps 5) x) (* x (* x x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(* (* eps 5) x)
(.f64 eps (.f64 #s(literal 5 binary64) x))
(* eps 5)
(*.f64 eps #s(literal 5 binary64))
eps
5
#s(literal 5 binary64)
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))
(.f64 x (.f64 x (.f64 eps (.f64 x (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))))
eps
(* (* x (* x x)) (+ (* eps 10) (* 5 x)))
(.f64 (.f64 x x) (.f64 x (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x))))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* eps 10) (* 5 x))
(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
10
#s(literal 10 binary64)
(* 5 x)
(*.f64 #s(literal 5 binary64) x)
5
#s(literal 5 binary64)

localize108.0ms (1%)

Memory

-32.2MiB live, 102.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
✓	accuracy	99.9%	(fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 eps #s(literal 5 binary64))
✓	accuracy	99.9%	(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 eps #s(literal 5 binary64)) x)
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps x))
✓	accuracy	99.6%	(.f64 #s(literal 10 binary64) (.f64 eps x))
✓	accuracy	100.0%	(*.f64 eps x)
✓	accuracy	100.0%	(.f64 eps (.f64 (.f64 eps x) (.f64 eps x)))
✓	accuracy	99.9%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
✓	accuracy	99.9%	(.f64 (.f64 eps x) (*.f64 eps x))
✓	accuracy	100.0%	(/.f64 x eps)
✓	accuracy	99.8%	(fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
✓	accuracy	99.0%	(/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))

Samples

62.0ms	239×	0	valid
6.0ms	14×	2	valid
1.0ms	2×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 175 to 30 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 35.0ms (72% of total)

ival-div: 5.0ms (10.3% of total)

ival-pow: 5.0ms (10.3% of total)

ival-add: 2.0ms (4.1% of total)

adjust: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

20 → 432

Calls

Call 1

Inputs
#<alt (/ (pow eps 5) (/ 1 (+ (* 5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (/ 1 (+ (* 5 (/ x eps)) 1))>
#<alt (+ (* 5 (/ x eps)) 1)>
#<alt (* 10 (* eps (* (* eps x) (* eps x))))>
#<alt (* eps (* (* eps x) (* eps x)))>
#<alt (* (* eps x) (* eps x))>
#<alt (* eps x)>
#<alt (* (* 10 (* eps x)) (* eps (* eps x)))>
#<alt (* 10 (* eps x))>
#<alt (* eps (* eps x))>
#<alt (* (* (* eps 5) x) (* x (* x x)))>
#<alt (* (* eps 5) x)>
#<alt (* eps 5)>
#<alt (* x (* x x))>
#<alt (* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))>
#<alt (* (* x (* x x)) (+ (* eps 10) (* 5 x)))>
#<alt (* x x)>
#<alt (/ x eps)>
#<alt (+ (* eps 10) (* 5 x))>

Outputs
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (* (pow eps 4) (+ eps (* 5 x)))>
#<alt (pow eps 5)>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (* (pow eps 5) (+ 1 (* 5 (/ x eps))))>
#<alt (pow eps 5)>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))>
#<alt (pow eps 5)>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (+ (* 5 (* (pow eps 4) x)) (pow eps 5))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))>
#<alt (* 5 (* (pow eps 4) x))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt 1>
#<alt (+ 1 (* -5 (/ x eps)))>
#<alt (+ 1 (* x (- (* 25 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))>
#<alt (+ 1 (* x (- (* x (+ (* -125 (/ x (pow eps 3))) (* 25 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps)))))>
#<alt (* 1/5 (/ eps x))>
#<alt (/ (+ (* -1/25 (/ (pow eps 2) x)) (* 1/5 eps)) x)>
#<alt (/ (- (+ (* 1/125 (/ (pow eps 3) (pow x 2))) (* 1/5 eps)) (* 1/25 (/ (pow eps 2) x))) x)>
#<alt (/ (- (+ (* -1/625 (/ (pow eps 4) (pow x 3))) (* 1/5 eps)) (+ (* -1/125 (/ (pow eps 3) (pow x 2))) (* 1/25 (/ (pow eps 2) x)))) x)>
#<alt (* 1/5 (/ eps x))>
#<alt (* -1 (/ (+ (* -1/5 eps) (* 1/25 (/ (pow eps 2) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/125 (/ (pow eps 3) x)) (* 1/25 (pow eps 2))) x)) (* -1/5 eps)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/625 (/ (pow eps 4) x)) (* 1/125 (pow eps 3))) x)) (* 1/25 (pow eps 2))) x)) (* -1/5 eps)) x))>
#<alt (* 1/5 (/ eps x))>
#<alt (* eps (+ (* -1/25 (/ eps (pow x 2))) (* 1/5 (/ 1 x))))>
#<alt (* eps (+ (* eps (- (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x))))>
#<alt (* eps (+ (* eps (- (* eps (+ (* -1/625 (/ eps (pow x 4))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -5 (/ x eps)))>
#<alt (- (+ 1 (* 25 (/ (pow x 2) (pow eps 2)))) (* 5 (/ x eps)))>
#<alt (- (+ 1 (* -125 (/ (pow x 3) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (* 5 (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* -5 (/ x eps)))>
#<alt (+ 1 (* -1 (/ (- (* -25 (/ (pow x 2) eps)) (* -5 x)) eps)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -125 (/ (pow x 3) eps)) (* -25 (pow x 2))) eps)) (* -5 x)) eps)))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* x (+ (* 5 (/ 1 eps)) (/ 1 x)))>
#<alt (* 5 (/ x eps))>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt (/ (+ eps (* 5 x)) eps)>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt 1>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (+ 1 (* 5 (/ x eps)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 3) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
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#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* (pow eps 3) (pow x 2)))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* 10 (* eps x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 (* eps x))>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (* 5 eps)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* eps (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3)))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* (pow eps 2) (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* (pow x 3) (+ (* 5 (* eps x)) (* 10 (pow eps 2))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* 5 (* eps (pow x 4)))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* (pow x 4) (+ (* 5 eps) (* 10 (/ (pow eps 2) x))))>
#<alt (* 10 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))>
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))>
#<alt (* (pow x 3) (+ (* 5 x) (* 10 eps)))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* 5 (pow x 4))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* (pow x 4) (+ 5 (* 10 (/ eps x))))>
#<alt (* 5 (pow x 4))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (+ (* 5 (pow x 4)) (* 10 (* eps (pow x 3))))>
#<alt (* 10 (* eps (pow x 3)))>
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* eps (+ (* 5 (/ (pow x 4) eps)) (* 10 (pow x 3))))>
#<alt (* 10 (* eps (pow x 3)))>
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))>
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))>
#<alt (* -1 (* eps (+ (* -10 (pow x 3)) (* -5 (/ (pow x 4) eps)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
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#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (/ x eps)>
#<alt (* 5 x)>
#<alt (+ (* 5 x) (* 10 eps))>
#<alt (+ (* 5 x) (* 10 eps))>
#<alt (+ (* 5 x) (* 10 eps))>
#<alt (* 10 eps)>
#<alt (* eps (+ 10 (* 5 (/ x eps))))>
#<alt (* eps (+ 10 (* 5 (/ x eps))))>
#<alt (* eps (+ 10 (* 5 (/ x eps))))>
#<alt (* 10 eps)>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))>
#<alt (* -1 (* eps (- (* -5 (/ x eps)) 10)))>
#<alt (* 10 eps)>
#<alt (+ (* 5 x) (* 10 eps))>
#<alt (+ (* 5 x) (* 10 eps))>
#<alt (+ (* 5 x) (* 10 eps))>
#<alt (* 5 x)>
#<alt (* x (+ 5 (* 10 (/ eps x))))>
#<alt (* x (+ 5 (* 10 (/ eps x))))>
#<alt (* x (+ 5 (* 10 (/ eps x))))>
#<alt (* 5 x)>
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))>
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))>
#<alt (* -1 (* x (- (* -10 (/ eps x)) 5)))>

Calls

108 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ 1 (+ (* 5 (/ x eps)) 1))
1.0ms	x	@	-inf	(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))
0.0ms	eps	@	0	(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))
0.0ms	eps	@	inf	(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))
0.0ms	eps	@	-inf	(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))

rewrite379.0ms (3.6%)

Memory

-14.0MiB live, 491.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 996×	`accelerator-lowering-fma.f32`
6 996×	`accelerator-lowering-fma.f64`
5 320×	`-lowering-.f32`
5 320×	`-lowering-.f64`
2 828×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
1	139	130
2	811	128
3	7601	128
0	8278	122

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 784

Calls

Call 1

Inputs
(/ (pow eps 5) (/ 1 (+ (* 5 (/ x eps)) 1)))
(pow eps 5)
(/ 1 (+ (* 5 (/ x eps)) 1))
(+ (* 5 (/ x eps)) 1)
(* 10 (* eps (* (* eps x) (* eps x))))
(* eps (* (* eps x) (* eps x)))
(* (* eps x) (* eps x))
(* eps x)
(* (* 10 (* eps x)) (* eps (* eps x)))
(* 10 (* eps x))
(* eps (* eps x))
(* (* (* eps 5) x) (* x (* x x)))
(* (* eps 5) x)
(* eps 5)
(* x (* x x))
(* eps (* (* x (* x x)) (+ (* eps 10) (* 5 x))))
(* (* x (* x x)) (+ (* eps 10) (* 5 x)))
(* x x)
(/ x eps)
(+ (* eps 10) (* 5 x))

Outputs
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (.f64 #s(literal 5 binary64) x) (.f64 eps (pow.f64 eps #s(literal -5 binary64)))))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (/.f64 (.f64 x #s(literal -5 binary64)) eps)))
(+.f64 (pow.f64 eps #s(literal 5 binary64)) (.f64 (/.f64 (.f64 x #s(literal -5 binary64)) eps) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 5 binary64) x) (.f64 eps (pow.f64 eps #s(literal -5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (.f64 (neg.f64 (pow.f64 eps #s(literal 5 binary64))) (/.f64 (.f64 x #s(literal -5 binary64)) eps)) (pow.f64 eps #s(literal 5 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x #s(literal -5 binary64)) eps) (neg.f64 (pow.f64 eps #s(literal 5 binary64)))) (pow.f64 eps #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 eps #s(literal -5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal 5 binary64) (log.f64 eps)) (.f64 #s(literal -1 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 5 binary64) x) eps)))))
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(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 125 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1000 binary64))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64)))) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64))))) (.f64 #s(literal 1000000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))))) (fma.f64 (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64)))) (-.f64 (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64)))) (.f64 (.f64 eps eps) #s(literal 100 binary64))) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 10000 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 125 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1000 binary64))) (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 10000 binary64)) (.f64 (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64)))) (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64))))))) (-.f64 (.f64 (.f64 eps eps) #s(literal 100 binary64)) (.f64 x (-.f64 (.f64 x #s(literal 25 binary64)) (.f64 eps #s(literal 50 binary64))))))
(.f64 (/.f64 (fma.f64 eps (.f64 eps #s(literal 100 binary64)) (.f64 (.f64 x x) #s(literal -25 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1000 binary64) (.f64 #s(literal -125 binary64) (.f64 x (.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 25 binary64) (.f64 eps #s(literal 50 binary64))) (.f64 (.f64 eps eps) #s(literal 100 binary64))))

simplify727.0ms (6.8%)

Memory

10.9MiB live, 532.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 604×	`accelerator-lowering-fma.f32`
15 604×	`accelerator-lowering-fma.f64`
6 264×	`-lowering-.f32`
6 264×	`-lowering-.f64`
2 048×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	3006
1	655	3002
2	1713	2986
3	4582	2946
0	8257	2820

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
(* 5 (* (pow eps 4) x))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(* (pow eps 4) (+ eps (* 5 x)))
(pow eps 5)
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(* (pow eps 5) (+ 1 (* 5 (/ x eps))))
(pow eps 5)
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(* -1 (* (pow eps 5) (- (* -5 (/ x eps)) 1)))
(pow eps 5)
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(+ (* 5 (* (pow eps 4) x)) (pow eps 5))
(* 5 (* (pow eps 4) x))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* x (+ (* 5 (pow eps 4)) (/ (pow eps 5) x)))
(* 5 (* (pow eps 4) x))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(* -1 (* x (+ (* -5 (pow eps 4)) (* -1 (/ (pow eps 5) x)))))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
1
(+ 1 (* -5 (/ x eps)))
(+ 1 (* x (- (* 25 (/ x (pow eps 2))) (* 5 (/ 1 eps)))))
(+ 1 (* x (- (* x (+ (* -125 (/ x (pow eps 3))) (* 25 (/ 1 (pow eps 2))))) (* 5 (/ 1 eps)))))
(* 1/5 (/ eps x))
(/ (+ (* -1/25 (/ (pow eps 2) x)) (* 1/5 eps)) x)
(/ (- (+ (* 1/125 (/ (pow eps 3) (pow x 2))) (* 1/5 eps)) (* 1/25 (/ (pow eps 2) x))) x)
(/ (- (+ (* -1/625 (/ (pow eps 4) (pow x 3))) (* 1/5 eps)) (+ (* -1/125 (/ (pow eps 3) (pow x 2))) (* 1/25 (/ (pow eps 2) x)))) x)
(* 1/5 (/ eps x))
(* -1 (/ (+ (* -1/5 eps) (* 1/25 (/ (pow eps 2) x))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/125 (/ (pow eps 3) x)) (* 1/25 (pow eps 2))) x)) (* -1/5 eps)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/625 (/ (pow eps 4) x)) (* 1/125 (pow eps 3))) x)) (* 1/25 (pow eps 2))) x)) (* -1/5 eps)) x))
(* 1/5 (/ eps x))
(* eps (+ (* -1/25 (/ eps (pow x 2))) (* 1/5 (/ 1 x))))
(* eps (+ (* eps (- (* 1/125 (/ eps (pow x 3))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x))))
(* eps (+ (* eps (- (* eps (+ (* -1/625 (/ eps (pow x 4))) (* 1/125 (/ 1 (pow x 3))))) (* 1/25 (/ 1 (pow x 2))))) (* 1/5 (/ 1 x))))
1
(+ 1 (* -5 (/ x eps)))
(- (+ 1 (* 25 (/ (pow x 2) (pow eps 2)))) (* 5 (/ x eps)))
(- (+ 1 (* -125 (/ (pow x 3) (pow eps 3)))) (+ (* -25 (/ (pow x 2) (pow eps 2))) (* 5 (/ x eps))))
1
(+ 1 (* -5 (/ x eps)))
(+ 1 (* -1 (/ (- (* -25 (/ (pow x 2) eps)) (* -5 x)) eps)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -125 (/ (pow x 3) eps)) (* -25 (pow x 2))) eps)) (* -5 x)) eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* x (+ (* 5 (/ 1 eps)) (/ 1 x)))
(* 5 (/ x eps))
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
(/ (+ eps (* 5 x)) eps)
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
1
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(+ 1 (* 5 (/ x eps)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 3) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* (pow eps 3) (pow x 2)))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* 10 (* eps x))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* 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 (* 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 (* 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 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 (* eps x))
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(* 5 eps)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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)))))
(* 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) (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) (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))))
(* 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 (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))))
(* 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))
(* (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))
(* (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)) (* 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 (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 (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 x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(/ x eps)
(* 5 x)
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(* 10 eps)
(* eps (+ 10 (* 5 (/ x eps))))
(* eps (+ 10 (* 5 (/ x eps))))
(* eps (+ 10 (* 5 (/ x eps))))
(* 10 eps)
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* -1 (* eps (- (* -5 (/ x eps)) 10)))
(* 10 eps)
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(+ (* 5 x) (* 10 eps))
(* 5 x)
(* x (+ 5 (* 10 (/ eps x))))
(* x (+ 5 (* 10 (/ eps x))))
(* x (+ 5 (* 10 (/ eps x))))
(* 5 x)
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* -1 (* x (- (* -10 (/ eps x)) 5)))
(* -1 (* x (- (* -10 (/ eps x)) 5)))

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

eval360.0ms (3.4%)

Memory: 6.8MiB live, 240.3MiB allocated
Compiler: Compiled 27 136 to 2 267 computations (91.6% saved)

prune294.0ms (2.8%)

Memory

-1.0MiB live, 242.7MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 342	5	1 347
Fresh	2	8	10
Picked	3	2	5
Done	1	4	5
Total	1 348	19	1 367

Accuracy

100.0%

Counts

1 367 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(pow.f64 eps #s(literal 5 binary64))
	85.6%	(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal -5 binary64)))
	83.5%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
	85.8%	(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
✓	86.0%	(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
	81.5%	(.f64 (.f64 (.f64 eps x) #s(literal 5 binary64)) (.f64 x (*.f64 x x)))
	81.7%	(.f64 (.f64 x (.f64 x (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (*.f64 eps x))
	81.5%	(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
	81.5%	(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
	81.5%	(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
	81.5%	(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
✓	68.6%	(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
	81.9%	(.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 eps (+.f64 eps x)))))))
✓	81.9%	(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
	82.0%	(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 5 binary64) x) (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64))) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
	81.9%	(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 10 binary64)) (+.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x x)))))
	68.6%	(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
✓	68.6%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
✓	68.6%	(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))

Compiler

Compiled 945 to 322 computations (65.9% saved)

regimes63.0ms (0.6%)

Memory

-4.2MiB live, 33.9MiB allocated

Counts

46 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 eps x) #s(literal 5 binary64)) (.f64 x (*.f64 x x)))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(.f64 eps (.f64 (.f64 eps (.f64 x (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (*.f64 eps x))
(.f64 eps (.f64 (.f64 x x) (fma.f64 eps (.f64 #s(literal 10 binary64) (+.f64 eps x)) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 10 binary64)) (+.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 eps (+.f64 eps x)))))))
(.f64 (fma.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))))) eps)
(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(pow.f64 eps #s(literal 5 binary64))
(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 #s(literal 5 binary64) x) (pow.f64 eps #s(literal 5 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)) (pow.f64 eps #s(literal -5 binary64)))
(.f64 eps (fma.f64 eps (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64)) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 eps #s(literal 5 binary64)) (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) x)))
(/.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(.f64 eps (fma.f64 eps (fma.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64) (.f64 eps (.f64 (.f64 x x) #s(literal 10 binary64)))) (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (.f64 #s(literal 5 binary64) x) (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 10 binary64))) (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 eps #s(literal 5 binary64) (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) (/.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 10 binary64)) x)) (neg.f64 x))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 #s(literal 5 binary64) (*.f64 x (pow.f64 eps #s(literal 4 binary64))) (pow.f64 eps #s(literal 5 binary64)))

Outputs

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

(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 eps #s(literal 5 binary64)) (/.f64 (*.f64 (*.f64 eps eps) #s(literal -10 binary64)) x)))

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

Calls

3 calls:

38.0ms	x
12.0ms	eps
11.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
99.1%	3	`x`
98.4%	3	`eps`
99.7%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes11.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

39 → 3

Calls

Call 1

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

Outputs

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

(*.f64 eps (*.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes165.0ms (1.6%)

Memory

9.7MiB live, 45.2MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 eps x) #s(literal 5 binary64)) (.f64 x (*.f64 x x)))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(.f64 eps (.f64 (.f64 eps (.f64 x (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (*.f64 eps x))
(.f64 eps (.f64 (.f64 x x) (fma.f64 eps (.f64 #s(literal 10 binary64) (+.f64 eps x)) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 10 binary64)) (+.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 eps (+.f64 eps x)))))))
(.f64 (fma.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))))) eps)
(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(pow.f64 eps #s(literal 5 binary64))
(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))
(*.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 #s(literal 5 binary64) (/.f64 x eps) #s(literal 1 binary64)))

Outputs

(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))

(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

(*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))

Calls

2 calls:

154.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))
10.0ms	x

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.8%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes22.0ms (0.2%)

Memory

-30.1MiB live, 51.7MiB allocated

Counts

33 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 eps x) #s(literal 5 binary64)) (.f64 x (*.f64 x x)))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(.f64 eps (.f64 (.f64 eps (.f64 x (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (*.f64 eps x))
(.f64 eps (.f64 (.f64 x x) (fma.f64 eps (.f64 #s(literal 10 binary64) (+.f64 eps x)) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 10 binary64)) (+.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 eps (+.f64 eps x)))))))
(.f64 (fma.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))))) eps)
(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(pow.f64 eps #s(literal 5 binary64))
(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))

Outputs

(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))

(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

(*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))

Calls

2 calls:

12.0ms	x
9.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
98.7%	3	`x`
98.7%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes20.0ms (0.2%)

Memory

2.0MiB live, 39.2MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 eps x) #s(literal 5 binary64)) (.f64 x (*.f64 x x)))
(.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps)))
(.f64 eps (.f64 (.f64 eps (.f64 x (*.f64 x #s(literal 10 binary64)))) (+.f64 eps x)))
(.f64 (.f64 eps eps) (.f64 x (.f64 x (*.f64 #s(literal 10 binary64) (+.f64 eps x)))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 eps (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))
(.f64 (.f64 x (.f64 x (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (*.f64 eps x))
(.f64 eps (.f64 (.f64 x x) (fma.f64 eps (.f64 #s(literal 10 binary64) (+.f64 eps x)) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 eps (.f64 (.f64 x x) (fma.f64 (.f64 eps #s(literal 10 binary64)) (+.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x x)))))
(.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (*.f64 eps (+.f64 eps x)))))))
(.f64 (fma.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 eps (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))))) eps)
(.f64 eps (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 5 binary64) (.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 eps eps) (.f64 #s(literal 5 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) eps)))
(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 eps (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(pow.f64 eps #s(literal 5 binary64))
(.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64))))

Outputs

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

(/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 (*.f64 (*.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (*.f64 #s(literal 5 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

Calls

2 calls:

9.0ms	x
7.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
98.6%	3	`x`
98.6%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes8.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

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

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
98.6%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes8.0ms (0.1%)

Memory

-14.2MiB live, 23.8MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (*.f64 #s(literal 5 binary64) x))))

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
98.6%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

(*.f64 (*.f64 x (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 5 binary64) x))

(*.f64 (fma.f64 #s(literal 5 binary64) x eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
98.6%	3	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.1%)

Memory

3.1MiB live, 42.5MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 eps #s(literal 5 binary64)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) x) (.f64 x (*.f64 x x)))
(.f64 (.f64 (.f64 eps #s(literal 5 binary64)) (.f64 x x)) (*.f64 x x))
(.f64 (.f64 (.f64 eps x) #s(literal 5 binary64)) (.f64 x (*.f64 x x)))

Outputs
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))

Calls

3 calls:

5.0ms	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
81.5%	1	`eps`
81.5%	1	`x`
81.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes15.0ms (0.1%)

Memory

-30.0MiB live, 25.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 eps (.f64 x (.f64 #s(literal 5 binary64) (*.f64 x x)))) x)
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 eps #s(literal 5 binary64)))))

Outputs
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))

Calls

3 calls:

8.0ms	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
81.5%	1	`x`
81.5%	1	`eps`
81.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 (.f64 #s(literal 10 binary64) (.f64 eps x)) (.f64 eps (*.f64 eps x)))

Outputs
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))

Calls

3 calls:

3.0ms	eps
3.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
81.5%	1	`x`
81.5%	1	`eps`
81.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory

-25.4MiB live, 13.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))

Outputs
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))

Calls

3 calls:

5.0ms	x
2.0ms	eps
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))

Results

Accuracy	Segments	Branch
81.5%	1	`x`
81.5%	1	`eps`
81.5%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 (.f64 eps x) (*.f64 eps x))))
(.f64 eps (.f64 #s(literal 10 binary64) (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 eps (.f64 eps (.f64 x (.f64 eps (*.f64 x #s(literal 10 binary64))))))

Outputs
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
68.6%	1	`x`
68.6%	1	`eps`
68.6%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-2.7349777884492465e-305	0.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-2.7349777884492465e-305	0.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-3.3370738411105784e-289	-6.74432631855075e-293

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-3.3370738411105784e-289	-6.74432631855075e-293

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-3.3370738411105784e-289	-6.74432631855075e-293

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-3.3370738411105784e-289	-6.74432631855075e-293

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-3.3370738411105784e-289	-6.74432631855075e-293

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	3.339520759407984e-309
0.0ms	-2.7349777884492465e-305	0.0

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify19.0ms (0.2%)

Memory

5.0MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Rules

94×	`*-commutative_binary64`
28×	`+-commutative_binary64`
26×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	490
1	147	490
2	172	490
3	194	490
4	211	490
5	220	490
6	224	490
7	225	490

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 eps #s(literal 5 binary64)) (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 eps (.f64 #s(literal 5 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))) (*.f64 (pow.f64 eps #s(literal 5 binary64)) (/.f64 (fma.f64 #s(literal 5 binary64) x eps) eps))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps)) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 5 binary64) x eps))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (.f64 (.f64 x x) #s(literal 10 binary64)) (+.f64 x eps)) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (.f64 eps (+.f64 eps x))))))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 (.f64 x (.f64 eps (.f64 x x))) (.f64 #s(literal 5 binary64) x)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))

Outputs
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 eps #s(literal 5 binary64)) (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 eps #s(literal 5 binary64)) (/.f64 (.f64 (.f64 eps eps) #s(literal -10 binary64)) x))) (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x x))))))
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (/.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 (+.f64 x eps) (.f64 (.f64 x x) #s(literal 10 binary64))) (.f64 #s(literal 5 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (.f64 eps (+.f64 eps x))))))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 x (.f64 x (fma.f64 #s(literal 5 binary64) (.f64 eps (.f64 x x)) (.f64 #s(literal 10 binary64) (.f64 eps (.f64 eps (+.f64 x eps))))))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (.f64 #s(literal 5 binary64) x)))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -4388899255034951/21944496275174754733023745004748837080297570543729328280448007953824789527038691788660702798145451174453138901351488446979832735450978591612896414872982681198457994802840025058142360791167736098566050165049439180766375815715632675961171034001565824849041810386302038359368560295224574744242597208206082048 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 eps (.f64 (.f64 x (.f64 x x)) (fma.f64 eps #s(literal 10 binary64) (.f64 x #s(literal 5 binary64))))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
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(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 0 binary64)) (.f64 (.f64 x #s(literal 5 binary64)) (.f64 x (.f64 eps (.f64 x x)))) (.f64 (fma.f64 #s(literal 5 binary64) x eps) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(.f64 (.f64 x (.f64 eps (.f64 x x))) (*.f64 #s(literal 5 binary64) x))
(.f64 (.f64 x #s(literal 5 binary64)) (.f64 x (.f64 eps (*.f64 x x))))
(.f64 (.f64 eps x) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 (.f64 x eps) (.f64 #s(literal 5 binary64) (.f64 x (*.f64 x x))))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 #s(literal 5 binary64) x)))
(.f64 eps (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 5 binary64))))
(.f64 eps (.f64 (.f64 x x) (.f64 #s(literal 5 binary64) (*.f64 x x))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 eps x)))))
(.f64 #s(literal 10 binary64) (.f64 eps (.f64 x (.f64 eps (*.f64 x eps)))))

soundness1.9s (17.8%)

Memory

6.2MiB live, 1 487.0MiB allocated

Rules

23 810×	`accelerator-lowering-fma.f32`
23 810×	`accelerator-lowering-fma.f64`
19 244×	`accelerator-lowering-fma.f32`
19 244×	`accelerator-lowering-fma.f64`
18 376×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	132
1	139	130
2	811	128
3	7601	128
0	8278	122
0	34	166
1	161	158
2	1073	156
0	8946	151
0	29	153
1	165	141
2	1262	141
0	8155	134
0	245	1372
1	817	1243
2	2860	1056
0	8403	988
0	7	20
1	48	20
2	346	20
3	3542	20
0	9396	20
0	170	2786
1	590	2698
2	1772	2606
3	3395	2588
4	7447	2588
0	8054	2444
0	201	3356
1	708	3300
2	2102	3292
3	4277	3248
0	8111	3148

Stop Event

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

Compiler

Compiled 1 025 to 367 computations (64.2% saved)

preprocess98.0ms (0.9%)

Memory: -18.4MiB live, 177.9MiB allocated
Compiler: Compiled 1 182 to 186 computations (84.3% 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
1	10	9
2	15	9
3	21	9
4	29	9
5	44	9
6	77	9
7	103	9
8	146	9
9	161	9
10	169	9
0	169	9

Iter	Nodes	Cost
0	7	23
1	10	23
2	15	23
3	21	23
4	29	23
5	44	23
6	77	23
7	103	23
8	146	23
9	161	23
10	169	23
0	169	23

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
1	10	9
2	15	9
3	21	9
4	29	9
5	44	9
6	77	9
7	103	9
8	146	9
9	161	9
10	169	9
0	169	9

Iter	Nodes	Cost
0	7	23
1	10	23
2	15	23
3	21	23
4	29	23
5	44	23
6	77	23
7	103	23
8	146	23
9	161	23
10	169	23
0	169	23

analyze0.0ms (0%)

sample1.4s (13.1%)

preprocess30.0ms (0.3%)

explain128.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize40.0ms (0.4%)

series7.0ms (0.1%)

rewrite582.0ms (5.5%)

simplify698.0ms (6.6%)

eval54.0ms (0.5%)

prune54.0ms (0.5%)

simplify98.0ms (0.9%)

localize188.0ms (1.8%)

series29.0ms (0.3%)

rewrite414.0ms (3.9%)

simplify606.0ms (5.7%)

eval154.0ms (1.4%)

prune146.0ms (1.4%)

simplify300.0ms (2.8%)

localize106.0ms (1%)

series30.0ms (0.3%)

rewrite393.0ms (3.7%)

simplify498.0ms (4.7%)

eval182.0ms (1.7%)

prune202.0ms (1.9%)

simplify45.0ms (0.4%)

localize108.0ms (1%)

series14.0ms (0.1%)

rewrite379.0ms (3.6%)

simplify727.0ms (6.8%)

eval360.0ms (3.4%)

prune294.0ms (2.8%)

regimes63.0ms (0.6%)

regimes11.0ms (0.1%)

regimes165.0ms (1.6%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0%)

regimes14.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness1.9s (17.8%)

preprocess98.0ms (0.9%)

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
1	10	9
2	15	9
3	21	9
4	29	9
5	44	9
6	77	9
7	103	9
8	146	9
9	161	9
10	169	9
0	169	9

Iter	Nodes	Cost
0	7	23
1	10	23
2	15	23
3	21	23
4	29	23
5	44	23
6	77	23
7	103	23
8	146	23
9	161	23
10	169	23
0	169	23