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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 25 to 18 computations (28% saved)

sample1.6s (17.1%)

Memory

17.3MiB live, 1 643.3MiB allocated

Samples

595.0ms	5 166×	0	valid
457.0ms	2 575×	1	valid
85.0ms	515×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 813.0ms

ival-pow2: 349.0ms (42.9% of total)

ival-add: 150.0ms (18.4% of total)

ival-sub: 113.0ms (13.9% of total)

adjust: 84.0ms (10.3% of total)

ival-<=: 79.0ms (9.7% of total)

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

exact: 16.0ms (2% of total)

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

Bogosity

preprocess528.0ms (5.6%)

Memory

16.5MiB live, 814.8MiB allocated

Algorithm

2×	egg-herbie

Rules

18 770×	`accelerator-lowering-fma.f32`
18 770×	`accelerator-lowering-fma.f64`
2 836×	`-lowering-.f32`
2 836×	`-lowering-.f64`
2 498×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	64
1	51	56
2	160	54
3	594	42
4	1837	42
5	4350	42
6	5916	42
7	6544	42
8	6773	42
9	6887	42
10	6920	42
11	7264	42
12	7492	42
13	7888	42
14	7897	42
15	7897	42
16	7971	42
0	7	9
1	12	9
2	32	9
3	92	9
4	271	7
5	850	7
6	2361	7
7	4280	7
8	5913	7
9	6914	7
10	7339	7
11	7607	7
12	7613	7
13	7613	7
0	8048	6

Stop Event

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

Calls

Call 1

Inputs
(- (pow (+ x eps) 2) (pow x 2))

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

Call 2

Inputs
(- (pow (+ x eps) 2) (pow x 2))
(- (pow (+ (neg x) eps) 2) (pow (neg x) 2))
(- (pow (+ x (neg eps)) 2) (pow x 2))
(neg (- (pow (+ (neg x) eps) 2) (pow (neg x) 2)))
(neg (- (pow (+ x (neg eps)) 2) (pow x 2)))
(- (pow (+ eps x) 2) (pow eps 2))

Outputs
(- (pow (+ x eps) 2) (pow x 2))
(* eps (+ x (+ x eps)))
(- (pow (+ (neg x) eps) 2) (pow (neg x) 2))
(* eps (+ eps (* x -2)))
(- (pow (+ x (neg eps)) 2) (pow x 2))
(* eps (+ eps (* x -2)))
(neg (- (pow (+ (neg x) eps) 2) (pow (neg x) 2)))
(* eps (+ x (- x eps)))
(neg (- (pow (+ x (neg eps)) 2) (pow x 2)))
(* eps (+ x (- x eps)))
(- (pow (+ eps x) 2) (pow eps 2))
(* x (+ x (+ eps eps)))

explain121.0ms (1.3%)

Memory

-69.3MiB live, 213.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
70	2	(-7.279460693495432e-91 4.3044901507495856e-234)	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`eps`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	cancellation	72	1

Confusion

	Predicted +	Predicted -
+	71	1
-	1	183

Precision

0.9861111111111112

Recall

0.9861111111111112

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	71	1	0
-	1	0	183

Precision?

0.9863013698630136

Recall?

1.0

Freqs

test

number	freq
0	184
1	72

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms	158×	1	valid
23.0ms	24×	2	valid
19.0ms	330×	0	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

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

adjust: 22.0ms (44.5% of total)

ival-pow2: 20.0ms (40.5% of total)

ival-add: 4.0ms (8.1% of total)

ival-sub: 3.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify385.0ms (4.1%)

Memory

30.9MiB live, 665.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

18 770×	`accelerator-lowering-fma.f32`
18 770×	`accelerator-lowering-fma.f64`
2 836×	`-lowering-.f32`
2 836×	`-lowering-.f64`
2 498×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	12	23
2	32	23
3	92	23
4	271	21
5	850	21
6	2361	21
7	4280	21
8	5913	21
9	6914	21
10	7339	21
11	7607	21
12	7613	21
13	7613	21
0	8048	20

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (pow (+ x eps) 2) (pow x 2))
(pow (+ x eps) 2)
(+ x eps)
x
eps
2
(pow x 2)

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

localize31.0ms (0.3%)

Memory

-11.1MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.9%	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
✓	accuracy	77.0%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Samples

11.0ms	165×	0	valid
8.0ms	79×	1	valid
2.0ms	12×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-pow2: 6.0ms (51.9% of total)

ival-add: 2.0ms (17.3% of total)

adjust: 1.0ms (8.6% of total)

ival-sub: 1.0ms (8.6% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (pow x 2)>
#<alt (pow (+ x eps) 2)>
#<alt (- (pow (+ x eps) 2) (pow x 2))>
#<alt (+ x eps)>

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

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(pow (+ x eps) 2)
0.0ms	x	@	inf	(pow x 2)
0.0ms	x	@	0	(pow (+ x eps) 2)
0.0ms	x	@	0	(pow x 2)
0.0ms	eps	@	0	(- (pow (+ x eps) 2) (pow x 2))

rewrite293.0ms (3.1%)

Memory

15.7MiB live, 399.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 988×	`accelerator-lowering-fma.f32`
4 988×	`accelerator-lowering-fma.f64`
3 910×	`-lowering-.f32`
3 910×	`-lowering-.f64`
2 090×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	48	20
2	367	20
3	5123	20
0	8153	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 371

Calls

Call 1

Inputs
(pow x 2)
(pow (+ x eps) 2)
(- (pow (+ x eps) 2) (pow x 2))
(+ x eps)

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

simplify254.0ms (2.7%)

Memory

-12.6MiB live, 309.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 222×	`accelerator-lowering-fma.f32`
9 222×	`accelerator-lowering-fma.f64`
3 242×	`-lowering-.f32`
3 242×	`-lowering-.f64`
1 646×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	492
1	214	450
2	574	450
3	1825	438
4	4173	438
5	7244	438
0	8097	390

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval51.0ms (0.5%)

Memory: 1.4MiB live, 78.5MiB allocated
Compiler: Compiled 14 249 to 1 137 computations (92% saved)

prune51.0ms (0.5%)

Memory

22.8MiB live, 97.2MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	450	5	455
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	451	5	456

Accuracy

100.0%

Counts

456 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x))))
▶	76.9%	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
▶	64.5%	(.f64 x (.f64 #s(literal 2 binary64) eps))
▶	100.0%	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
▶	73.7%	(*.f64 eps eps)

Compiler

Compiled 98 to 54 computations (44.9% saved)

simplify597.0ms (6.3%)

Memory

12.3MiB live, 759.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (neg.f64 x))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	128	(fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x)))
✓	cost-diff	768	(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x))))
✓	cost-diff	0	(+.f64 x (+.f64 x eps))
✓	cost-diff	0	(-.f64 eps x)
✓	cost-diff	0	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
✓	cost-diff	384	(+.f64 x (-.f64 eps x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal 2 binary64) eps))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) eps)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 x #s(literal 2 binary64) eps)
✓	cost-diff	0	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))

Rules

32 104×	`accelerator-lowering-fma.f32`
32 104×	`accelerator-lowering-fma.f64`
3 508×	`-lowering-.f32`
3 508×	`-lowering-.f64`
2 974×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	79
1	60	78
2	147	78
3	449	78
4	1566	78
5	4056	78
6	6411	78
0	8173	72

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize88.0ms (0.9%)

Memory

-26.1MiB live, 112.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x)))
✓	accuracy	66.5%	(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x))))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
✓	accuracy	99.9%	(+.f64 x (+.f64 x eps))
✓	accuracy	53.0%	(+.f64 x (-.f64 eps x))
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal 2 binary64) eps))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) eps)
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) eps)
✓	accuracy	100.0%	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))

Samples

30.0ms	111×	1	valid
19.0ms	129×	0	valid
6.0ms	16×	2	valid

Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 18.0ms (46.2% of total)

ival-add: 10.0ms (25.7% of total)

adjust: 7.0ms (18% of total)

ival-sub: 2.0ms (5.1% of total)

ival-neg: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-15.0MiB live, 23.3MiB allocated

Counts

14 → 288

Calls

Call 1

Inputs
#<alt (* eps (+ (* x 2) eps))>
#<alt (+ (* x 2) eps)>
#<alt (* eps eps)>
#<alt (* 2 eps)>
#<alt (* x (* 2 eps))>
#<alt (+ x (- eps x))>
#<alt (* (+ x (- eps x)) (+ x (+ x eps)))>
#<alt (- eps x)>
#<alt (+ x (+ x eps))>
#<alt (+ (* (+ x eps) x) (+ (* eps (+ x eps)) (* x (neg x))))>
#<alt (+ (* eps (+ x eps)) (* x (neg x)))>
#<alt (+ x eps)>
#<alt (* x (neg x))>
#<alt (neg x)>

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

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(* x (* 2 eps))
1.0ms	eps	@	0	(* eps (+ (* x 2) eps))
0.0ms	x	@	inf	(* x (* 2 eps))
0.0ms	x	@	-inf	(+ (* (+ x eps) x) (+ (* eps (+ x eps)) (* x (neg x))))
0.0ms	x	@	0	(* x (* 2 eps))

rewrite367.0ms (3.9%)

Memory

13.8MiB live, 439.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 492×	`accelerator-lowering-fma.f32`
5 492×	`accelerator-lowering-fma.f64`
4 788×	`/-lowering-/.f32`
4 788×	`/-lowering-/.f64`
4 038×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
1	131	74
2	1343	74
0	8375	70

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 720

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 eps (+.f64 eps x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 eps (+.f64 eps x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 eps (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 eps (+.f64 eps x) (.f64 x x))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 eps (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 eps (+.f64 eps x) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (+.f64 eps x))) (fma.f64 eps (+.f64 eps x) (.f64 x x))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 eps (+.f64 eps x) (*.f64 x x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps x) (*.f64 x (neg.f64 x)))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 eps (+.f64 eps x)) (.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (+.f64 eps x))) (.f64 (.f64 x (neg.f64 x)) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (neg.f64 x)) (-.f64 (.f64 x (neg.f64 x)) (.f64 eps (+.f64 eps x))) (.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (+.f64 eps x))))))
(.f64 (.f64 (fma.f64 eps (+.f64 eps x) (.f64 x (neg.f64 x))) (fma.f64 eps (+.f64 eps x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (+.f64 eps x) (*.f64 x x))))
(+.f64 eps x)
(+.f64 x eps)
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps x)) (-.f64 eps x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps)))) (neg.f64 (fma.f64 eps eps (-.f64 (.f64 x x) (*.f64 eps x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 eps x))) (neg.f64 (-.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (-.f64 (.f64 x x) (.f64 eps x))) (fma.f64 x (.f64 x x) (.f64 eps (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (*.f64 (+.f64 eps x) (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x eps)) (.f64 (-.f64 x eps) (.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 x x) (-.f64 x eps)) (fma.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)) (.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x)) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))
(.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps x)) (/.f64 (-.f64 eps x) (/.f64 #s(literal 1 binary64) (+.f64 eps x))))
(.f64 (/.f64 (+.f64 eps x) (.f64 (fma.f64 x (+.f64 eps x) (.f64 eps eps)) (-.f64 eps x))) (/.f64 (-.f64 eps x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 eps x) (.f64 eps eps)))))
(.f64 (/.f64 (+.f64 eps x) (/.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))))) (/.f64 (-.f64 eps x) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(.f64 (/.f64 (+.f64 eps x) (/.f64 (.f64 (+.f64 eps x) (-.f64 eps x)) (*.f64 (+.f64 eps x) (-.f64 x eps)))) (/.f64 (-.f64 eps x) (-.f64 x eps)))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(neg.f64 (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))))
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
(.f64 #s(literal -1 binary64) (.f64 x x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x)))))
(neg.f64 x)
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

simplify525.0ms (5.5%)

Memory

-182.4MiB live, 423.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
2 830×	`-lowering-.f32`
2 830×	`-lowering-.f64`
1 286×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1255
1	341	1230
2	936	1230
3	2773	1218
4	7050	1218
0	8244	1117

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

Outputs
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
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eval190.0ms (2%)

Memory: -18.1MiB live, 211.3MiB allocated
Compiler: Compiled 41 096 to 2 392 computations (94.2% saved)

prune193.0ms (2%)

Memory

-7.6MiB live, 199.4MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 107	5	1 112
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 110	7	1 117

Accuracy

100.0%

Counts

1 117 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(fma.f64 (+.f64 x eps) x (fma.f64 x (-.f64 eps x) (*.f64 eps eps)))
▶	100.0%	(fma.f64 eps eps (*.f64 eps (+.f64 x x)))
▶	64.5%	(*.f64 (+.f64 x x) eps)
✓	100.0%	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
▶	100.0%	(*.f64 eps (+.f64 (+.f64 eps x) x))
✓	73.7%	(*.f64 eps eps)
▶	40.7%	#s(literal 0 binary64)

Compiler

Compiled 101 to 56 computations (44.6% saved)

simplify644.0ms (6.8%)

Memory

48.7MiB live, 994.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 eps x)
✓	cost-diff	0	(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	768	(fma.f64 (+.f64 x eps) x (fma.f64 x (-.f64 eps x) (*.f64 eps eps)))
✓	cost-diff	0	(+.f64 eps x)
✓	cost-diff	0	(+.f64 (+.f64 eps x) x)
✓	cost-diff	0	(*.f64 eps (+.f64 (+.f64 eps x) x))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 (+.f64 x x) eps)
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 eps (+.f64 x x))
✓	cost-diff	192	(fma.f64 eps eps (*.f64 eps (+.f64 x x)))

Rules

30 928×	`accelerator-lowering-fma.f32`
30 928×	`accelerator-lowering-fma.f64`
4 600×	`+-lowering-+.f64`
4 600×	`+-lowering-+.f32`
2 860×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	41	72
2	81	72
3	143	72
4	286	72
5	538	72
6	1605	72
7	3798	72
8	5562	72
9	6462	72
10	6741	72
11	6810	72
12	6896	72
13	6978	72
14	6978	72
15	6998	72
16	7004	72
17	7004	72
18	7004	72
19	7012	72
0	8530	67

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* eps eps) (* eps (+ x x)))
eps
(* eps (+ x x))
(+ x x)
x
0
(* (+ x x) eps)
(+ x x)
x
eps
(* eps (+ (+ eps x) x))
eps
(+ (+ eps x) x)
(+ eps x)
x
(+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))
(+ x eps)
x
eps
(+ (* x (- eps x)) (* eps eps))
(- eps x)
(* eps eps)

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

localize61.0ms (0.6%)

Memory

0.8MiB live, 119.8MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
✓	accuracy	66.5%	(fma.f64 (+.f64 x eps) x (fma.f64 x (-.f64 eps x) (*.f64 eps eps)))
✓	accuracy	100.0%	(+.f64 eps x)
✓	accuracy	100.0%	(*.f64 eps (+.f64 (+.f64 eps x) x))
✓	accuracy	99.9%	(+.f64 (+.f64 eps x) x)
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(*.f64 (+.f64 x x) eps)
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(*.f64 eps (+.f64 x x))
✓	accuracy	100.0%	(fma.f64 eps eps (*.f64 eps (+.f64 x x)))

Samples

21.0ms	79×	1	valid
18.0ms	165×	0	valid
4.0ms	12×	2	valid

Compiler

Compiled 80 to 19 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 12.0ms (44.6% of total)

ival-add: 9.0ms (33.4% of total)

adjust: 4.0ms (14.9% of total)

ival-sub: 2.0ms (7.4% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory

-34.6MiB live, 4.3MiB allocated

Counts

12 → 264

Calls

Call 1

Inputs
#<alt (+ (* eps eps) (* eps (+ x x)))>
#<alt (* eps (+ x x))>
#<alt (+ x x)>
#<alt (* (+ x x) eps)>
#<alt (* eps (+ (+ eps x) x))>
#<alt (+ (+ eps x) x)>
#<alt (+ eps x)>
#<alt (+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))>
#<alt (+ x eps)>
#<alt (+ (* x (- eps x)) (* eps eps))>
#<alt (- eps x)>
#<alt (* eps eps)>

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

Calls

66 calls:

Time	Variable		Point	Expression
33.0ms	eps	@	-inf	(+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))
0.0ms	x	@	-inf	(+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))
0.0ms	x	@	0	(+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))
0.0ms	x	@	0	(+ (* eps eps) (* eps (+ x x)))
0.0ms	eps	@	inf	(+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))

rewrite452.0ms (4.8%)

Memory

5.8MiB live, 542.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 678×	`-lowering-.f32`
4 678×	`-lowering-.f64`
4 502×	`/-lowering-/.f32`
4 502×	`/-lowering-/.f64`
4 492×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	113	66
2	1200	66
0	8222	61

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 664

Calls

Call 1

Inputs
(+ (* eps eps) (* eps (+ x x)))
(* eps (+ x x))
(+ x x)
(* (+ x x) eps)
(* eps (+ (+ eps x) x))
(+ (+ eps x) x)
(+ eps x)
(+ (* (+ x eps) x) (+ (* x (- eps x)) (* eps eps)))
(+ x eps)
(+ (* x (- eps x)) (* eps eps))
(- eps x)
(* eps eps)

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

simplify357.0ms (3.8%)

Memory

-6.9MiB live, 549.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
2 830×	`-lowering-.f32`
2 830×	`-lowering-.f64`
1 286×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1216
1	341	1212
2	936	1212
3	2776	1200
4	7053	1200
0	8233	1117

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

Outputs
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* eps (+ eps (* 2 x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ eps (* 2 x))
(fma.f64 #s(literal 2 binary64) x eps)
(+ eps (* 2 x))
(fma.f64 #s(literal 2 binary64) x eps)
(+ eps (* 2 x))
(fma.f64 #s(literal 2 binary64) x eps)
eps
(* eps (+ 1 (* 2 (/ x eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(* eps (+ 1 (* 2 (/ x eps))))
(fma.f64 #s(literal 2 binary64) x eps)
(* eps (+ 1 (* 2 (/ x eps))))
(fma.f64 #s(literal 2 binary64) x eps)
eps
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 #s(literal 2 binary64) x eps)
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 #s(literal 2 binary64) x eps)
(* -1 (* eps (- (* -2 (/ x eps)) 1)))
(fma.f64 #s(literal 2 binary64) x eps)
eps
(+ eps (* 2 x))
(fma.f64 #s(literal 2 binary64) x eps)
(+ eps (* 2 x))
(fma.f64 #s(literal 2 binary64) x eps)
(+ eps (* 2 x))
(fma.f64 #s(literal 2 binary64) x eps)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ eps x)))
(fma.f64 #s(literal 2 binary64) x eps)
(* x (+ 2 (/ eps x)))
(fma.f64 #s(literal 2 binary64) x eps)
(* x (+ 2 (/ eps x)))
(fma.f64 #s(literal 2 binary64) x eps)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(fma.f64 #s(literal 2 binary64) x eps)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(fma.f64 #s(literal 2 binary64) x eps)
(* -1 (* x (- (* -1 (/ eps x)) 2)))
(fma.f64 #s(literal 2 binary64) x eps)
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(pow eps 2)
(*.f64 eps eps)
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* 2 (* eps x)) (pow eps 2))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* x (+ (* 2 eps) (/ (pow eps 2) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* 2 (* eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
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(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* -1 (pow x 2)) (pow x 2))
#s(literal 0 binary64)
(+ (* -1 (pow x 2)) (+ (* 2 (* eps x)) (pow x 2)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+ (* -1 (pow x 2)) (+ (* eps (+ eps (* 2 x))) (pow x 2)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ x eps)) (/ (pow x 2) (pow eps 2))))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) eps))) eps))))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
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(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
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(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
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x
(+ eps x)
(+.f64 eps x)
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eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(pow eps 2)
(*.f64 eps eps)
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* x (+ eps (* -1 x))) (pow eps 2))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+ (* x (+ eps (* -1 x))) (pow eps 2))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ eps x) 1))
(*.f64 x (-.f64 eps x))
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (/ eps x) 1))
(*.f64 x (-.f64 eps x))
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(+ (* -1 (pow x 2)) (* eps x))
(*.f64 x (-.f64 eps x))
(+ (* -1 (pow x 2)) (* eps (+ eps x)))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+ (* -1 (pow x 2)) (* eps (+ eps x)))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(* -1 x)
(neg.f64 x)
(- eps x)
(-.f64 eps x)
(- eps x)
(-.f64 eps x)
(- eps x)
(-.f64 eps x)
eps
(* eps (+ 1 (* -1 (/ x eps))))
(-.f64 eps x)
(* eps (+ 1 (* -1 (/ x eps))))
(-.f64 eps x)
(* eps (+ 1 (* -1 (/ x eps))))
(-.f64 eps x)
eps
(* -1 (* eps (- (/ x eps) 1)))
(-.f64 eps x)
(* -1 (* eps (- (/ x eps) 1)))
(-.f64 eps x)
(* -1 (* eps (- (/ x eps) 1)))
(-.f64 eps x)
eps
(+ eps (* -1 x))
(-.f64 eps x)
(+ eps (* -1 x))
(-.f64 eps x)
(+ eps (* -1 x))
(-.f64 eps x)
(* -1 x)
(neg.f64 x)
(* x (- (/ eps x) 1))
(-.f64 eps x)
(* x (- (/ eps x) 1))
(-.f64 eps x)
(* x (- (/ eps x) 1))
(-.f64 eps x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ eps x)))))
(-.f64 eps x)
(* -1 (* x (+ 1 (* -1 (/ eps x)))))
(-.f64 eps x)
(* -1 (* x (+ 1 (* -1 (/ eps x)))))
(-.f64 eps x)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)

eval117.0ms (1.2%)

Memory: 32.1MiB live, 294.7MiB allocated
Compiler: Compiled 32 884 to 1 793 computations (94.5% saved)

prune143.0ms (1.5%)

Memory

-35.9MiB live, 216.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	967	1	968
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	967	8	975

Accuracy

100.0%

Counts

975 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(fma.f64 (+.f64 x eps) x (fma.f64 x (-.f64 eps x) (*.f64 eps eps)))
✓	100.0%	(fma.f64 eps eps (*.f64 eps (+.f64 x x)))
✓	64.5%	(*.f64 (+.f64 x x) eps)
✓	100.0%	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
✓	100.0%	(*.f64 eps (+.f64 (+.f64 eps x) x))
▶	77.1%	(*.f64 eps (+.f64 eps x))
✓	73.7%	(*.f64 eps eps)
✓	40.7%	#s(literal 0 binary64)

Compiler

Compiled 64 to 36 computations (43.8% saved)

simplify3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 eps x)
✓	cost-diff	0	(*.f64 eps (+.f64 eps x))

Rules

10×	`-lowering-.f32`
10×	`-lowering-.f64`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	11	10
2	13	10
0	13	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* eps (+ eps x))
eps
(+ eps x)
x

Outputs
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
eps
(+ eps x)
(+.f64 eps x)
x

localize14.0ms (0.2%)

Memory

-4.8MiB live, 33.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 eps x)
✓	accuracy	100.0%	(*.f64 eps (+.f64 eps x))

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 3.0ms (66% of total)

ival-mult: 2.0ms (44% of total)

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

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

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (* eps (+ eps x))>
#<alt (+ eps x)>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	inf	(* eps (+ eps x))
0.0ms	eps	@	-inf	(* eps (+ eps x))
0.0ms	eps	@	0	(* eps (+ eps x))
0.0ms	x	@	-inf	(* eps (+ eps x))
0.0ms	x	@	inf	(* eps (+ eps x))

rewrite363.0ms (3.8%)

Memory

10.8MiB live, 691.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 134×	`accelerator-lowering-fma.f32`
7 134×	`accelerator-lowering-fma.f64`
4 100×	`/-lowering-/.f32`
4 100×	`/-lowering-/.f64`
3 724×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	22	8
2	160	8
3	1429	8
0	8457	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 197

Calls

Call 1

Inputs
(* eps (+ eps x))
(+ eps x)

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

simplify200.0ms (2.1%)

Memory

12.1MiB live, 319.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 174×	`-lowering-.f32`
5 174×	`-lowering-.f64`
3 330×	`accelerator-lowering-fma.f32`
3 330×	`accelerator-lowering-fma.f64`
1 628×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	168
1	107	168
2	260	168
3	707	168
4	1761	168
5	2625	168
6	3763	168
7	5094	168
8	6065	168
9	7360	168
0	8032	168

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

Outputs
(* eps x)
(*.f64 eps x)
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(* eps (+ eps x))
(*.f64 eps (+.f64 eps x))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(* (pow eps 2) (+ 1 (/ x eps)))
(*.f64 eps (+.f64 eps x))
(pow eps 2)
(*.f64 eps eps)
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(+ (* eps x) (pow eps 2))
(*.f64 eps (+.f64 eps x))
(* eps x)
(*.f64 eps x)
(* x (+ eps (/ (pow eps 2) x)))
(*.f64 eps (+.f64 eps x))
(* x (+ eps (/ (pow eps 2) x)))
(*.f64 eps (+.f64 eps x))
(* x (+ eps (/ (pow eps 2) x)))
(*.f64 eps (+.f64 eps x))
(* eps x)
(*.f64 eps x)
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (+.f64 eps x))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (+.f64 eps x))
(* -1 (* x (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (+.f64 eps x))
x
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
eps
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
(* eps (+ 1 (/ x eps)))
(+.f64 eps x)
eps
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(+.f64 eps x)
eps
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
(+ eps x)
(+.f64 eps x)
x
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
(* x (+ 1 (/ eps x)))
(+.f64 eps x)
x
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(+.f64 eps x)

eval53.0ms (0.6%)

Memory: -9.2MiB live, 51.9MiB allocated
Compiler: Compiled 6 900 to 659 computations (90.4% saved)

prune51.0ms (0.5%)

Memory

6.1MiB live, 77.1MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	244	9	253

Accuracy

100.0%

Counts

253 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(fma.f64 (+.f64 x eps) x (fma.f64 x (-.f64 eps x) (*.f64 eps eps)))
✓	100.0%	(fma.f64 eps eps (*.f64 eps (+.f64 x x)))
✓	64.5%	(*.f64 (+.f64 x x) eps)
✓	100.0%	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
✓	100.0%	(*.f64 eps (+.f64 (+.f64 eps x) x))
✓	77.1%	(*.f64 eps (+.f64 eps x))
	44.2%	(*.f64 eps x)
✓	73.7%	(*.f64 eps eps)
✓	40.7%	#s(literal 0 binary64)

Compiler

Compiled 161 to 71 computations (55.9% saved)

regimes16.0ms (0.2%)

Memory

-8.4MiB live, 30.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs
(fma.f64 eps eps (*.f64 eps (+.f64 x x)))

Calls

3 calls:

7.0ms	eps
4.0ms	x
4.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes14.0ms (0.1%)

Memory

-20.0MiB live, 23.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 eps (+.f64 (+.f64 eps x) x))

Calls

3 calls:

8.0ms	x
3.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 eps x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.4%	3	`x`
88.6%	3	`eps`
96.8%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps eps)
(*.f64 eps x)
(*.f64 eps (+.f64 eps x))

Outputs
(*.f64 eps (+.f64 eps x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
77.1%	1	`eps`
77.1%	1	`x`
77.1%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

-23.4MiB live, 15.8MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps eps)
(*.f64 eps x)

Outputs
(*.f64 eps x)
(*.f64 eps eps)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.7%	1	`x`
73.7%	1	`eps`
76.9%	2	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.7%	1	`x`
73.7%	1	`eps`
73.7%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
40.7%	1	`x`
40.7%	1	`eps`
40.7%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.5e-323

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	2.5e-323

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify9.0ms (0.1%)

Memory

-17.1MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	64
1	29	64
2	33	64
3	35	64
4	36	64

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.5s (15.6%)

Memory

20.4MiB live, 743.3MiB allocated

Rules

11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
9 222×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	48	20
2	367	20
3	5123	20
0	8153	20
0	69	492
1	214	450
2	574	450
3	1825	438
4	4173	438
5	7244	438
0	8097	390
0	111	1216
1	341	1212
2	936	1212
3	2776	1200
4	7053	1200
0	8233	1117
0	20	82
1	131	74
2	1343	74
0	8375	70
0	111	1255
1	341	1230
2	936	1230
3	2773	1218
4	7050	1218
0	8244	1117
0	33	168
1	107	168
2	260	168
3	707	168
4	1761	168
5	2625	168
6	3763	168
7	5094	168
8	6065	168
9	7360	168
0	8032	168

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

Compiler

Compiled 191 to 94 computations (50.8% saved)

preprocess109.0ms (1.1%)

Memory: -31.1MiB live, 83.4MiB allocated
Compiler: Compiled 154 to 52 computations (66.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (17.1%)

preprocess528.0ms (5.6%)

explain121.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify385.0ms (4.1%)

localize31.0ms (0.3%)

series4.0ms (0%)

rewrite293.0ms (3.1%)

simplify254.0ms (2.7%)

eval51.0ms (0.5%)

prune51.0ms (0.5%)

simplify597.0ms (6.3%)

localize88.0ms (0.9%)

series15.0ms (0.2%)

rewrite367.0ms (3.9%)

simplify525.0ms (5.5%)

eval190.0ms (2%)

prune193.0ms (2%)

simplify644.0ms (6.8%)

localize61.0ms (0.6%)

series38.0ms (0.4%)

rewrite452.0ms (4.8%)

simplify357.0ms (3.8%)

eval117.0ms (1.2%)

prune143.0ms (1.5%)

simplify3.0ms (0%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite363.0ms (3.8%)

simplify200.0ms (2.1%)

eval53.0ms (0.6%)

prune51.0ms (0.5%)

regimes16.0ms (0.2%)

regimes14.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness1.5s (15.6%)

preprocess109.0ms (1.1%)

end0.0ms (0%)

Profiling