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 (20.3%)

Memory

30.8MiB live, 2 030.2MiB allocated

Samples

584.0ms	5 325×	0	valid
468.0ms	2 452×	1	valid
123.0ms	479×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 847.0ms

ival-pow2: 427.0ms (50.4% of total)

ival-<=: 144.0ms (17% of total)

ival-add: 121.0ms (14.3% of total)

ival-sub: 66.0ms (7.8% of total)

adjust: 49.0ms (5.8% of total)

ival-and: 21.0ms (2.5% of total)

exact: 16.0ms (1.9% of total)

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

Bogosity

preprocess593.0ms (7.6%)

Memory

-8.0MiB live, 870.5MiB allocated

Algorithm

1×	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	19	55
1	45	47
2	149	45
3	542	35
4	1660	35
5	3800	35
6	5269	35
7	5989	35
8	6216	35
9	6322	35
10	6343	35
11	6343	35
12	6343	35
13	6343	35
14	6434	35
15	6762	35
16	7560	35
17	7996	35
0	7	9
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)))

explain170.0ms (2.2%)

Memory

-40.1MiB live, 295.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
75	4	(1.5424869674190938e-93 -1.1410688280245256e-230)	1	(-9.200654711135746e-129 8.000840999820896e-131)	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	0	-	`(+.f64 x eps)`
0	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	78	1

Confusion

	Predicted +	Predicted -
+	74	1
-	4	177

Precision

0.9487179487179487

Recall

0.9866666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	74	1	0
-	4	0	177

Precision?

0.9493670886075949

Recall?

1.0

Freqs

test

number	freq
0	178
1	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	334×	0	valid
16.0ms	138×	1	valid
7.0ms	40×	2	valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-pow2: 25.0ms (68.9% of total)

ival-add: 4.0ms (11% of total)

adjust: 3.0ms (8.3% of total)

ival-sub: 3.0ms (8.3% 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

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(-.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)

simplify448.0ms (5.7%)

Memory

13.7MiB live, 559.7MiB 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)

localize38.0ms (0.5%)

Memory

-10.5MiB live, 38.4MiB 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	100.0%	(pow.f64 (+.f64 x eps) #s(literal 2 binary64))
✓	accuracy	74.6%	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Samples

19.0ms	167×	0	valid
8.0ms	69×	1	valid
3.0ms	20×	2	valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-pow2: 7.0ms (58.1% of total)

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

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

adjust: 1.0ms (8.3% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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))

rewrite362.0ms (4.6%)

Memory

8.1MiB live, 279.6MiB 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)))
(/.f64 (.f64 (.f64 (+.f64 x eps) (neg.f64 (-.f64 x eps))) (.f64 (+.f64 x eps) (-.f64 x eps))) (.f64 (neg.f64 (-.f64 x eps)) (-.f64 x eps)))
(/.f64 (.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) (.f64 (+.f64 x eps) (-.f64 x eps))) (.f64 (-.f64 eps x) (-.f64 x eps)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 eps (-.f64 eps x))) (/.f64 #s(literal 1 binary64) (+.f64 x eps))))
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(/.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))))

simplify345.0ms (4.4%)

Memory

-14.0MiB live, 264.7MiB 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)

eval79.0ms (1%)

Memory: 13.0MiB live, 96.0MiB allocated
Compiler: Compiled 14 249 to 1 137 computations (92% saved)

prune64.0ms (0.8%)

Memory

13.9MiB live, 126.7MiB 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
▶	66.7%	(fma.f64 (+.f64 x eps) x (fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x))))
▶	74.6%	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
▶	60.9%	(.f64 x (.f64 #s(literal 2 binary64) eps))
▶	100.0%	(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
▶	71.7%	(*.f64 eps eps)

Compiler

Compiled 98 to 54 computations (44.9% saved)

simplify544.0ms (7%)

Memory

-14.1MiB live, 758.9MiB 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)

localize80.0ms (1%)

Memory

14.1MiB live, 130.3MiB 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	99.9%	(fma.f64 eps (+.f64 x eps) (*.f64 x (neg.f64 x)))
✓	accuracy	66.8%	(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	53.7%	(+.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

29.0ms	105×	1	valid
20.0ms	130×	0	valid
8.0ms	21×	2	valid

Compiler

Compiled 93 to 22 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47.3% of total)

ival-add: 11.0ms (27.4% of total)

adjust: 6.0ms (14.9% of total)

ival-sub: 2.0ms (5% of total)

ival-neg: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-18.8MiB live, 19.8MiB 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
2.0ms	eps	@	-inf	(* eps eps)
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))))

rewrite395.0ms (5.1%)

Memory

8.2MiB live, 761.8MiB 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))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)) (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))) (/.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps))))
(fma.f64 eps eps (*.f64 eps (+.f64 x x)))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 x (.f64 eps #s(literal 2 binary64)) (.f64 eps eps))
(fma.f64 #s(literal 2 binary64) (.f64 eps x) (.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (.f64 eps #s(literal 2 binary64)) x (.f64 eps eps))
(fma.f64 (.f64 eps x) #s(literal 2 binary64) (.f64 eps eps))
(fma.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)) (*.f64 eps (+.f64 x x)))
(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps)))) (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (*.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 eps eps)) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps (+.f64 x x)) (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 eps (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 eps (*.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x x) eps) (.f64 eps (.f64 (+.f64 eps (+.f64 x x)) (-.f64 (+.f64 x x) eps)))))
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(/.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)

simplify317.0ms (4.1%)

Memory

14.8MiB live, 373.2MiB 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))
(* -1 (* x (+ (* -2 eps) (* -1 (/ (pow eps 2) x)))))
(*.f64 eps (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)
(* 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)
(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)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) eps)
(* 2 eps)
(*.f64 #s(literal 2 binary64) 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))
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)
(*.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))
(* 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))
(* -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)
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)
(* 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)
(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))
(+ (* -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))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(+ (* -1 (pow x 2)) (* eps x))
(*.f64 x (-.f64 eps x))
(+ (* -1 (pow x 2)) (* eps (+ eps x)))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
(+ (* -1 (pow x 2)) (* eps (+ eps x)))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
(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 x (-.f64 eps x) (*.f64 eps eps))
(* (pow eps 2) (+ 1 (+ (* -1 (/ (pow x 2) (pow eps 2))) (/ x eps))))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
(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 x (-.f64 eps x) (*.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps))))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
(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 x (-.f64 eps x) (*.f64 eps eps))
(+ (* x (+ eps (* -1 x))) (pow eps 2))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
(* -1 (pow x 2))
(*.f64 x (neg.f64 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 x (-.f64 eps x) (*.f64 eps eps))
(* (pow x 2) (- (+ (/ eps x) (/ (pow eps 2) (pow x 2))) 1))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
(* -1 (pow x 2))
(*.f64 x (neg.f64 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 x (-.f64 eps x) (*.f64 eps eps))
(* (pow x 2) (- (* -1 (/ (+ (* -1 eps) (* -1 (/ (pow eps 2) x))) x)) 1))
(fma.f64 x (-.f64 eps x) (*.f64 eps eps))
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)
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)
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval138.0ms (1.8%)

Memory: 10.2MiB live, 277.8MiB allocated
Compiler: Compiled 41 096 to 2 392 computations (94.2% saved)

prune105.0ms (1.3%)

Memory

-22.5MiB live, 226.4MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1 108	4	1 112
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 111	6	1 117

Accuracy

100.0%

Counts

1 117 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
▶	60.9%	(*.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))
✓	71.7%	(*.f64 eps eps)
▶	34.8%	#s(literal 0 binary64)

Compiler

Compiled 42 to 25 computations (40.5% saved)

simplify5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
34×	`-lowering-.f32`
34×	`-lowering-.f64`
30×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	26	43
2	38	43
3	44	43
4	44	43
0	44	40

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize35.0ms (0.5%)

Memory

11.8MiB live, 50.0MiB allocated

Localize:

Found 8 expressions of interest:

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

Samples

23.0ms

256×

valid

Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 10.0ms (67% of total)

ival-mult: 5.0ms (33.5% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

7 → 144

Calls

Call 1

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

36 calls:

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

rewrite55.0ms (0.7%)

Memory

-3.1MiB live, 67.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
290×	`-lowering-.f32`
290×	`-lowering-.f64`
230×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	65	33
0	578	30

Stop Event

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

Counts

7 → 130

Calls

Call 1

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

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

simplify184.0ms (2.4%)

Memory

-12.5MiB live, 266.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4 622×	`accelerator-lowering-fma.f32`
4 622×	`accelerator-lowering-fma.f64`
3 318×	`-lowering-.f32`
3 318×	`-lowering-.f64`
1 398×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	654
1	159	654
2	380	654
3	1074	654
4	2633	654
5	4340	654
6	6790	654
0	8090	600

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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 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)))
(* 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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow eps 2)
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(+ (* 2 (* eps x)) (pow eps 2))
(* 2 (* eps x))
(* 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))))
(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 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)
(* 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)
(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))
(* 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)
(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)

eval28.0ms (0.4%)

Memory: 13.2MiB live, 51.0MiB allocated
Compiler: Compiled 3 497 to 284 computations (91.9% saved)

prune14.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	296	7	303

Accuracy

100.0%

Counts

303 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	60.9%	(*.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))
▶	75.2%	(*.f64 eps (+.f64 eps x))
✓	71.7%	(*.f64 eps eps)
✓	34.8%	#s(literal 0 binary64)

Compiler

Compiled 49 to 29 computations (40.8% saved)

simplify13.0ms (0.2%)

Memory

-36.2MiB live, 2.7MiB 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

localize13.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB 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

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.3% of total)

ival-add: 1.0ms (29.6% of total)

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

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

series1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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))

rewrite341.0ms (4.4%)

Memory

-22.4MiB live, 421.4MiB 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))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps x))) #s(literal -1 binary64)))
(-.f64 eps (neg.f64 x))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 eps x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.f64 (fma.f64 eps eps (.f64 x (+.f64 eps x))) (-.f64 eps x))) (fma.f64 eps (-.f64 eps x) (.f64 x x))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.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 (/.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (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 x (.f64 x x)) (.f64 x (.f64 x x))) (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 (.f64 eps (.f64 eps eps))) (fma.f64 eps eps (.f64 x x))) (-.f64 eps x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 eps eps (.f64 x x))) (-.f64 eps x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 eps (-.f64 x eps) (*.f64 x (neg.f64 x)))) (neg.f64 (+.f64 eps x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x eps)) (neg.f64 (+.f64 eps x)))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (.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 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.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 (.f64 eps (.f64 eps (.f64 eps eps))) (.f64 (-.f64 eps x) (fma.f64 eps eps (.f64 x x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 eps x) (fma.f64 eps eps (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) (-.f64 eps x)) (.f64 (-.f64 eps x) (-.f64 eps x))) (/.f64 (.f64 (-.f64 eps x) (.f64 x x)) (.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))))) (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 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (-.f64 x eps) (.f64 (-.f64 x eps) (-.f64 x eps)))) (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 (.f64 (.f64 eps eps) (.f64 (/.f64 eps (-.f64 eps x)) (/.f64 eps (-.f64 eps x)))) (fma.f64 eps (/.f64 eps (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))) (/.f64 (.f64 (.f64 x x) (.f64 (/.f64 x (-.f64 eps x)) (/.f64 x (-.f64 eps x)))) (fma.f64 eps (/.f64 eps (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))))
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 eps (/.f64 eps (-.f64 eps x)) (*.f64 (neg.f64 x) (/.f64 x (-.f64 eps x))))
(fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (-.f64 eps x)) (.f64 (neg.f64 x) (/.f64 x (-.f64 eps x))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (neg.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))))
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 eps eps) (-.f64 eps x)) (.f64 (neg.f64 x) (/.f64 x (-.f64 eps x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) eps)
(fma.f64 (neg.f64 (.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) (.f64 (neg.f64 x) (/.f64 x (-.f64 eps x))))
(fma.f64 (/.f64 (.f64 eps eps) (.f64 (+.f64 eps x) (-.f64 eps x))) (+.f64 eps x) (*.f64 (neg.f64 x) (/.f64 x (-.f64 eps x))))
(fma.f64 (/.f64 (.f64 eps eps) (.f64 (fma.f64 eps eps (.f64 x (+.f64 eps x))) (-.f64 eps x))) (fma.f64 eps eps (.f64 x (+.f64 eps x))) (*.f64 (neg.f64 x) (/.f64 x (-.f64 eps x))))
(fma.f64 (pow.f64 eps #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) eps)
(neg.f64 (neg.f64 (+.f64 eps x)))
(/.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (fma.f64 eps (-.f64 eps x) (.f64 x x)))
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(/.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)))

simplify211.0ms (2.7%)

Memory

0.4MiB live, 247.3MiB 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)

eval48.0ms (0.6%)

Memory: -1.6MiB live, 36.0MiB allocated
Compiler: Compiled 6 900 to 659 computations (90.4% saved)

prune28.0ms (0.4%)

Memory

15.4MiB live, 53.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	244	8	252

Accuracy

100.0%

Counts

252 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
✓	60.9%	(*.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))
✓	75.2%	(*.f64 eps (+.f64 eps x))
	38.6%	(*.f64 eps x)
✓	71.7%	(*.f64 eps eps)
✓	34.8%	#s(literal 0 binary64)

Compiler

Compiled 133 to 61 computations (54.1% saved)

regimes12.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

12 → 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 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x 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 (+.f64 x x) eps (*.f64 eps eps))

Calls

3 calls:

4.0ms	x
4.0ms	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)

regimes11.0ms (0.1%)

Memory

-21.4MiB live, 16.9MiB 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 (fma.f64 x #s(literal 2 binary64) eps))

Calls

3 calls:

3.0ms	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)

regimes9.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

7 → 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))

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

regimes11.0ms (0.1%)

Memory

-26.5MiB live, 15.3MiB 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:

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

Results

Accuracy	Segments	Branch
93.0%	3	`x`
88.9%	3	`eps`
96.7%	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

9.3MiB live, 9.3MiB 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
75.2%	1	`eps`
75.2%	1	`x`
75.2%	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)

regimes6.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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:

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
71.7%	1	`x`
71.7%	1	`eps`
75.1%	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)

regimes2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 eps eps)

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
71.7%	1	`(-.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)

regimes4.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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
34.8%	1	`x`
34.8%	1	`eps`
34.8%	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	1.975104451928125e-306	1.4170601586400084e-305

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	1.558366865e-315

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify10.0ms (0.1%)

Memory

-23.4MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-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	24	70
1	33	70
2	37	70
3	39	70
4	40	70

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.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 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 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 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (+.f64 (+.f64 eps x) x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (.f64 (+.f64 x x) eps) (.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 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (.f64 (+.f64 x x) eps) (.f64 eps (+.f64 x eps)))
(*.f64 eps (+.f64 eps x))
(*.f64 eps (+.f64 x eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 eps x) (.f64 eps eps))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 0 binary64)) (.f64 x eps) (.f64 eps eps))
(*.f64 eps eps)
#s(literal 0 binary64)

soundness1.4s (18.2%)

Memory

25.9MiB live, 853.6MiB allocated

Rules

11 274×	`accelerator-lowering-fma.f32`
11 274×	`accelerator-lowering-fma.f64`
9 222×	`accelerator-lowering-fma.f32`
9 222×	`accelerator-lowering-fma.f64`
5 492×	`accelerator-lowering-fma.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
0	50	654
1	159	654
2	380	654
3	1074	654
4	2633	654
5	4340	654
6	6790	654
0	8090	600
0	7	20
1	48	20
2	367	20
3	5123	20
0	8153	20
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 199 to 100 computations (49.7% saved)

preprocess55.0ms (0.7%)

Memory: 10.0MiB live, 129.0MiB allocated
Compiler: Compiled 166 to 60 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.6s (20.3%)

preprocess593.0ms (7.6%)

explain170.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify448.0ms (5.7%)

localize38.0ms (0.5%)

series4.0ms (0.1%)

rewrite362.0ms (4.6%)

simplify345.0ms (4.4%)

eval79.0ms (1%)

prune64.0ms (0.8%)

simplify544.0ms (7%)

localize80.0ms (1%)

series14.0ms (0.2%)

rewrite395.0ms (5.1%)

simplify317.0ms (4.1%)

eval138.0ms (1.8%)

prune105.0ms (1.3%)

simplify5.0ms (0.1%)

localize35.0ms (0.5%)

series2.0ms (0%)

rewrite55.0ms (0.7%)

simplify184.0ms (2.4%)

eval28.0ms (0.4%)

prune14.0ms (0.2%)

simplify13.0ms (0.2%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite341.0ms (4.4%)

simplify211.0ms (2.7%)

eval48.0ms (0.6%)

prune28.0ms (0.4%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.4s (18.2%)

preprocess55.0ms (0.7%)

end0.0ms (0%)

Profiling