Metrics for sqrt E (should all be same)

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

sample512.0ms (2.1%)

Memory

44.6MiB live, 707.7MiB allocated

Samples

351.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

ival-pow2: 97.0ms (45.6% of total)

ival-sqrt: 61.0ms (28.7% of total)

ival-add: 46.0ms (21.6% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess20.0ms (0.1%)

Memory

-16.6MiB live, 20.8MiB allocated

Algorithm

2×	egg-herbie

Rules

52×	`unsub-neg`
50×	`associate-r`
30×	`distribute-rgt-neg-out`
26×	`distribute-lft-neg-out`
26×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	20	19
2	43	19
3	146	19
4	261	19
5	290	19
6	292	19
0	5	6
1	7	6
2	12	6
3	15	6
0	15	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (pow x 2) (pow x 2)))

Outputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt.f64 (*.f64 x (+.f64 x x)))

Call 2

Inputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt (+ (pow (neg x) 2) (pow (neg x) 2)))
(neg (sqrt (+ (pow (neg x) 2) (pow (neg x) 2))))

Outputs
(sqrt (+ (pow x 2) (pow x 2)))
(sqrt (* x (+ x x)))
(sqrt (+ (pow (neg x) 2) (pow (neg x) 2)))
(sqrt (* x (+ x x)))
(neg (sqrt (+ (pow (neg x) 2) (pow (neg x) 2))))
(neg (sqrt (* x (+ x x))))

Symmetry

(abs x)

explain69.0ms (0.3%)

Memory

16.8MiB live, 99.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
113	-	3	(2.0780711724324335e-160)	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	59	0
↳	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	underflow	59
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	118
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	51	0
↳	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	overflow	51
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	100

Confusion

	Predicted +	Predicted -
+	110	3
-	0	143

Precision

1.0

Recall

0.9734513274336283

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	110	0	3
-	0	0	143

Precision?

1.0

Recall?

0.9734513274336283

Freqs

test

number	freq
0	146
1	110

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions

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

ival-pow2: 6.0ms (48.8% of total)

ival-sqrt: 4.0ms (32.6% of total)

ival-add: 2.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.4%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify6.0ms (0%)

Memory

-33.9MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	320	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
4×	`*-commutative`
4×	`+-lowering-+.f64`
4×	`count-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	7	16
2	12	16
3	15	16
0	15	13

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (pow x 2) (pow x 2)))
(+ (pow x 2) (pow x 2))
(pow x 2)
x
2

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

localize18.0ms (0.1%)

Memory

26.5MiB live, 26.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	59.5%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Samples

11.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-pow2: 3.0ms (49.9% of total)

ival-sqrt: 2.0ms (33.3% of total)

ival-add: 1.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow x 2))>
#<alt (sqrt (+ (pow x 2) (pow x 2)))>

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 (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (+ (pow x 2) (pow x 2)))
1.0ms	x	@	inf	(sqrt (+ (pow x 2) (pow x 2)))
0.0ms	x	@	inf	(pow x 2)
0.0ms	x	@	0	(pow x 2)
0.0ms	x	@	0	(+ (pow x 2) (pow x 2))

rewrite38.0ms (0.2%)

Memory

7.0MiB live, 45.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

70×	`-lowering-.f32`
70×	`-lowering-.f64`
44×	`accelerator-lowering-fma.f32`
44×	`accelerator-lowering-fma.f64`
34×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	25	10
0	167	9

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

3 → 33

Calls

Call 1

Inputs
(pow x 2)
(+ (pow x 2) (pow x 2))
(sqrt (+ (pow x 2) (pow x 2)))

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

simplify13.0ms (0.1%)

Memory

-23.3MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
38×	`accelerator-lowering-fma.f32`
38×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))

Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* -1 (* x (sqrt 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))

eval8.0ms (0%)

Memory: 14.8MiB live, 14.8MiB allocated
Compiler: Compiled 790 to 110 computations (86.1% saved)

prune6.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Accuracy

100.0%

Counts

88 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
▶	100.0%	(hypot.f64 x x)
▶	21.3%	(sqrt.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
▶	59.5%	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 44 to 22 computations (50% saved)

simplify446.0ms (1.8%)

Memory

-17.1MiB live, 431.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	5248	(hypot.f64 x x)
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
✓	cost-diff	3712	(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
✓	cost-diff	-64	(*.f64 x (+.f64 x x))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(sqrt.f64 (*.f64 x (+.f64 x x)))

Rules

6 780×	`accelerator-lowering-fma.f32`
6 780×	`accelerator-lowering-fma.f64`
6 656×	`-lowering-.f32`
6 656×	`-lowering-.f64`
1 916×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	85
1	39	79
2	135	71
3	776	69
4	2414	69
5	3562	69
6	4499	69
7	6240	69
8	7303	69
9	7565	69
10	7671	69
11	7742	69
12	7799	69
0	8503	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(sqrt (* x (+ x x)))
(* x (+ x x))
x
(+ x x)
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))
(+ (* (* x x) (* x x)) 0)
(* x x)
x
0
(* x (+ x x))
(+ x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
1
(sqrt (+ (* x x) (* x x)))
x
(+ (* x (sqrt 2)) 0)
x
(sqrt 2)
2
0

Outputs
(sqrt (* x (+ x x)))
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)))
(* x (+ x x))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
x
(+ x x)
(+.f64 x x)
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)))
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(* (+ (* (* x x) (* x x)) 0) (* x (+ x x)))
(fma.f64 (+.f64 x x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (* x x) (* x x)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* x (+ x x))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(+ x x)
(+.f64 x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(sqrt (+ (* x x) (* x x)))
(sqrt.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)))
x
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)

localize69.0ms (0.3%)

Memory

-21.3MiB live, 99.7MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(hypot.f64 x x)
✓	accuracy	99.8%	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
✓	accuracy	59.5%	(sqrt.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
✓	accuracy	26.9%	(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64))))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(*.f64 x (+.f64 x x))
✓	accuracy	59.5%	(sqrt.f64 (*.f64 x (+.f64 x x)))

Samples

44.0ms

256×

valid

Compiler

Compiled 128 to 20 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 14.0ms (42.1% of total)

ival-add: 7.0ms (21.1% of total)

ival-sqrt: 5.0ms (15% of total)

ival-hypot: 4.0ms (12% of total)

ival-div: 2.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

10 → 108

Calls

Call 1

Inputs
#<alt (sqrt (* x (+ x x)))>
#<alt (+ x x)>
#<alt (* x (+ x x))>
#<alt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))>
#<alt (sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))>
#<alt (+ (* (* x x) (* x x)) 0)>
#<alt (sqrt (+ (* x x) (* x x)))>
#<alt (+ (* x (sqrt 2)) 0)>
#<alt (sqrt 2)>
#<alt (/ 1 (+ (* (* x x) (* x x)) 0))>

Outputs
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>

Calls

27 calls:

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

rewrite82.0ms (0.3%)

Memory

4.3MiB live, 81.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

256×	`-lowering-.f32`
256×	`-lowering-.f64`
210×	`accelerator-lowering-fma.f32`
210×	`accelerator-lowering-fma.f64`
198×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	104	20
0	1082	20

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

10 → 89

Calls

Call 1

Inputs
(sqrt (* x (+ x x)))
(+ x x)
(* x (+ x x))
(* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(sqrt (* (* (+ (* (* x x) (* x x)) 0) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(+ (* (* x x) (* x x)) 0)
(sqrt (+ (* x x) (* x x)))
(+ (* x (sqrt 2)) 0)
(sqrt 2)
(/ 1 (+ (* (* x x) (* x x)) 0))

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

simplify15.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`-lowering-.f32`
38×	`-lowering-.f64`
38×	`accelerator-lowering-fma.f32`
38×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	456
1	23	456
2	37	456
3	41	456
4	45	456
5	57	456
6	69	456
7	80	456
8	100	456
9	105	456
0	105	456

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))

Outputs
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))

eval38.0ms (0.2%)

Memory: -5.2MiB live, 38.1MiB allocated
Compiler: Compiled 6 009 to 444 computations (92.6% saved)

prune19.0ms (0.1%)

Memory

5.0MiB live, 41.6MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	271	4	275
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	273	6	279

Accuracy

100.0%

Counts

279 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	59.1%	(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
▶	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	21.3%	(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))))
✓	59.5%	(sqrt.f64 (*.f64 x (+.f64 x x)))
▶	3.8%	#s(literal 0 binary64)

Compiler

Compiled 62 to 33 computations (46.8% saved)

simplify339.0ms (1.4%)

Memory

-6.1MiB live, 433.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
✓	cost-diff	1280	(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	cost-diff	1792	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	cost-diff	-64	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	64	(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))))
✓	cost-diff	3712	(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))

Rules

8 058×	`accelerator-lowering-fma.f32`
8 058×	`accelerator-lowering-fma.f64`
6 214×	`-lowering-.f32`
6 214×	`-lowering-.f64`
1 938×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	142
1	59	110
2	204	76
3	1122	73
4	2866	73
5	3208	73
6	4281	73
7	7395	73
0	8102	71

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
0
(sqrt (* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(* (* (* x (* x x)) x) (* x (+ x x)))
(* (* x (* x x)) x)
(* x (* x x))
x
(* x x)
(* x (+ x x))
(+ x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
1
(+ (* (* x x) (* x x)) 0)
0
(* (sqrt 2) x)
(sqrt 2)
2
x
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(sqrt 2)
2
(+ (* x (sqrt 2)) 0)
0

Outputs
0
#s(literal 0 binary64)
(sqrt (* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(fabs.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(* (* (* x (* x x)) x) (* x (+ x x)))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (+.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* x (* x x)) x)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* x x))
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* x x)
(fma.f64 x x #s(literal 0 binary64))
(* x (+ x x))
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
(+ x x)
(+.f64 x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* (* x x) (* x x)) 0)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (sqrt 2) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
x
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
(fma.f64 x (+.f64 x x) #s(literal 0 binary64))
x
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(+.f64 x x)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)

localize106.0ms (0.4%)

Memory

-22.2MiB live, 132.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	59.1%	(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	accuracy	99.8%	(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))
✓	accuracy	59.5%	(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))))
✓	accuracy	26.9%	(.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))))

Samples

73.0ms

256×

valid

Compiler

Compiled 163 to 25 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 34.0ms (57.4% of total)

ival-mult: 16.0ms (27% of total)

ival-add: 5.0ms (8.4% of total)

ival-sqrt: 4.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

11 → 120

Calls

Call 1

Inputs
#<alt (* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))>
#<alt (sqrt (* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))>
#<alt (+ x x)>
#<alt (/ 1 (+ (* (* x x) (* x x)) 0))>
#<alt (sqrt 2)>
#<alt (* (sqrt 2) x)>
#<alt (* (sqrt 2) (+ (* x (sqrt 2)) 0))>
#<alt (/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))>
#<alt (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)>
#<alt (+ (* (* x x) (* x x)) 0)>
#<alt (+ (* x (sqrt 2)) 0)>

Outputs
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<alt (* -1 (* x (sqrt 2)))>
#<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 (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (/ 1 (pow x 4))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (* (pow x 2) (pow (sqrt 2) 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>

Calls

30 calls:

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

rewrite81.0ms (0.3%)

Memory

26.3MiB live, 138.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

494×	`-lowering-.f32`
494×	`-lowering-.f64`
374×	`/-lowering-/.f32`
374×	`/-lowering-/.f64`
290×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	80
1	133	47
0	1218	47

Stop Event

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

Counts

11 → 356

Calls

Call 1

Inputs
(* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0)))
(sqrt (* (* (* (* x (* x x)) x) (* x (+ x x))) (/ 1 (+ (* (* x x) (* x x)) 0))))
(+ x x)
(/ 1 (+ (* (* x x) (* x x)) 0))
(sqrt 2)
(* (sqrt 2) x)
(* (sqrt 2) (+ (* x (sqrt 2)) 0))
(/ (+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0) (+ (* x (sqrt 2)) 0))
(+ (* x (* (sqrt 2) (+ (* x (sqrt 2)) 0))) 0)
(+ (* (* x x) (* x x)) 0)
(+ (* x (sqrt 2)) 0)

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

simplify21.0ms (0.1%)

Memory

7.2MiB live, 51.6MiB allocated

Algorithm

1×	egg-herbie

Rules

56×	`-lowering-.f32`
56×	`-lowering-.f64`
56×	`accelerator-lowering-fma.f32`
56×	`accelerator-lowering-fma.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	484
1	29	484
2	50	484
3	60	484
4	64	484
5	76	484
6	88	484
7	105	484
8	137	484
9	138	484
0	138	484

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

Calls

Call 1

Inputs
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(/ 1 (pow x 4))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(* (pow x 2) (pow (sqrt 2) 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))

Outputs
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 2 (pow x 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* -1 (* x (sqrt 2)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (pow (sqrt 2) 2))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(* x (sqrt 2))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))

eval64.0ms (0.3%)

Memory: -4.5MiB live, 158.4MiB allocated
Compiler: Compiled 13 564 to 921 computations (93.2% saved)

prune53.0ms (0.2%)

Memory

-20.7MiB live, 134.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	558	5	563
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	560	9	569

Accuracy

100.0%

Counts

569 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	59.1%	(/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
▶	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
▶	99.1%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
▶	99.3%	(.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	99.1%	(.f64 x (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
✓	59.5%	(sqrt.f64 (*.f64 x (+.f64 x x)))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 186 to 102 computations (45.2% saved)

simplify954.0ms (3.9%)

Memory

9.0MiB live, 1 248.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	704	(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	cost-diff	1024	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
✓	cost-diff	1664	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	1664	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	1792	(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	cost-diff	0	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	1472	(/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	cost-diff	320	(.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
✓	cost-diff	3072	(*.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))

Rules

35 328×	`accelerator-lowering-fma.f32`
35 328×	`accelerator-lowering-fma.f64`
6 390×	`-lowering-.f32`
6 390×	`-lowering-.f64`
2 058×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	118
1	67	116
2	229	114
3	2480	114
4	3617	114
5	5349	114
6	6090	114
7	6369	114
8	6665	114
9	6996	114
0	8392	114

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* x (sqrt 2)) 0) (* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))
(+ (* x (sqrt 2)) 0)
x
(sqrt 2)
2
0
(* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(/ 1 (+ (* x (sqrt 2)) 0))
1
(/ 1 (/ 1 (+ (* x (sqrt 2)) 0)))
1
(/ 1 (+ (* x (sqrt 2)) 0))
(+ (* x (sqrt 2)) 0)
x
(sqrt 2)
2
0
(/ (+ (* x (+ (* 2 x) 0)) 0) (+ (* x (sqrt 2)) 0))
(+ (* x (+ (* 2 x) 0)) 0)
x
(+ (* 2 x) 0)
2
0
(+ (* x (sqrt 2)) 0)
(sqrt 2)
(* x (* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))
x
(* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0)
(sqrt 2)
2
(+ (* x (sqrt 2)) 0)
0
(/ 1 (+ (* x (sqrt 2)) 0))
1
(* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (* x (/ 1 (+ (* x (sqrt 2)) 0))))
(+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0)
(sqrt 2)
2
(+ (* x (sqrt 2)) 0)
x
0
(* x (/ 1 (+ (* x (sqrt 2)) 0)))
(/ 1 (+ (* x (sqrt 2)) 0))
1

Outputs
(* (+ (* x (sqrt 2)) 0) (* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
#s(literal 1 binary64)
(/ 1 (+ (* x (sqrt 2)) 0))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (/ 1 (+ (* x (sqrt 2)) 0)))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* x (sqrt 2)) 0))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(/ (+ (* x (+ (* 2 x) 0)) 0) (+ (* x (sqrt 2)) 0))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* x (+ (* 2 x) 0)) 0)
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* 2 x) 0)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(* x (* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
(* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(sqrt.f64 #s(literal 2 binary64))
(+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(/ 1 (+ (* x (sqrt 2)) 0))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (* x (/ 1 (+ (* x (sqrt 2)) 0))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (sqrt 2)) 0)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* x (/ 1 (+ (* x (sqrt 2)) 0)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (+ (* x (sqrt 2)) 0))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
1
#s(literal 1 binary64)

localize94.0ms (0.4%)

Memory

16.4MiB live, 171.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	99.4%	(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
✓	accuracy	99.3%	(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	accuracy	99.3%	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	99.4%	(.f64 x (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
✓	accuracy	99.3%	(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	accuracy	99.3%	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	59.1%	(/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
✓	accuracy	99.6%	(*.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
✓	accuracy	99.4%	(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))

Samples

41.0ms

256×

valid

Compiler

Compiled 231 to 24 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 14.0ms (55.2% of total)

ival-div: 5.0ms (19.7% of total)

ival-add: 4.0ms (15.8% of total)

ival-sqrt: 2.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

14 → 156

Calls

Call 1

Inputs
#<alt (* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))>
#<alt (* (+ (* x (sqrt 2)) 0) (* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))>
#<alt (+ (* x (sqrt 2)) 0)>
#<alt (sqrt 2)>
#<alt (/ 1 (/ 1 (+ (* x (sqrt 2)) 0)))>
#<alt (/ 1 (+ (* x (sqrt 2)) 0))>
#<alt (/ (+ (* x (+ (* 2 x) 0)) 0) (+ (* x (sqrt 2)) 0))>
#<alt (+ (* x (+ (* 2 x) 0)) 0)>
#<alt (+ (* 2 x) 0)>
#<alt (* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))>
#<alt (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0)>
#<alt (* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (* x (/ 1 (+ (* x (sqrt 2)) 0))))>
#<alt (* x (/ 1 (+ (* x (sqrt 2)) 0)))>
#<alt (* x (* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))>

Outputs
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (/ 1 (* x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (/ x (sqrt 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* 2 (pow x 2))>
#<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 (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (sqrt 2)>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (pow (sqrt 2) 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (+ (* x (+ (* 2 x) 0)) 0) (+ (* x (sqrt 2)) 0))
0.0ms	x	@	inf	(/ (+ (* x (+ (* 2 x) 0)) 0) (+ (* x (sqrt 2)) 0))
0.0ms	x	@	0	(/ 1 (+ (* x (sqrt 2)) 0))
0.0ms	x	@	inf	(/ 1 (+ (* x (sqrt 2)) 0))
0.0ms	x	@	-inf	(/ 1 (+ (* x (sqrt 2)) 0))

rewrite721.0ms (3%)

Memory

18.4MiB live, 940.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 350×	`accelerator-lowering-fma.f32`
4 350×	`accelerator-lowering-fma.f64`
2 504×	`-lowering-.f32`
2 504×	`-lowering-.f64`
1 700×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	143	52
2	1450	48
0	8228	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 3 517

Calls

Call 1

Inputs
(* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(* (+ (* x (sqrt 2)) 0) (* (+ (* x (sqrt 2)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))
(+ (* x (sqrt 2)) 0)
(sqrt 2)
(/ 1 (/ 1 (+ (* x (sqrt 2)) 0)))
(/ 1 (+ (* x (sqrt 2)) 0))
(/ (+ (* x (+ (* 2 x) 0)) 0) (+ (* x (sqrt 2)) 0))
(+ (* x (+ (* 2 x) 0)) 0)
(+ (* 2 x) 0)
(* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0)))
(+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0)
(* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (* x (/ 1 (+ (* x (sqrt 2)) 0))))
(* x (/ 1 (+ (* x (sqrt 2)) 0)))
(* x (* (+ (* (sqrt 2) (+ (* x (sqrt 2)) 0)) 0) (/ 1 (+ (* x (sqrt 2)) 0))))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 x (/.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -4 binary64) #s(literal 0 binary64)) (.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
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(.f64 (.f64 x x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 x x) #s(literal 0 binary64))))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (.f64 x x) #s(literal 4 binary64) #s(literal 0 binary64)) (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) x)

simplify9.3s (38.3%)

Memory

12.7MiB live, 2 729.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 352×	`-lowering-.f32`
3 352×	`-lowering-.f64`
3 218×	`associate-*l/`
2 492×	`/-lowering-/.f32`
2 492×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	576
1	26	576
2	33	576
3	43	576
4	54	576
5	61	576
6	212	576
7	989	576
8	2067	576
9	2273	576
10	2284	576
11	2290	576
12	2307	576
13	3102	576
14	3225	576
15	3334	576
16	3455	576
17	3593	576
18	3728	576
19	3878	576
20	4026	576
21	4197	576
22	4375	576
0	8302	576

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(/ 1 (* x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(sqrt 2)
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (pow (sqrt 2) 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(/ 1 (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))

Outputs
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(/ 1 (* x (sqrt 2)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (pow (sqrt 2) 2))
(*.f64 x #s(literal 2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/ 1 (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval9.4s (38.5%)

Memory: 91.1MiB live, 3 519.6MiB allocated
Compiler: Compiled 425 474 to 20 883 computations (95.1% saved)

prune1.6s (6.8%)

Memory

35.9MiB live, 3 165.7MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	12 140	3	12 143
Fresh	0	0	0
Picked	5	0	5
Done	1	3	4
Total	12 146	6	12 152

Accuracy

100.0%

Counts

12 152 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
✓	99.4%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	99.1%	(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓	59.5%	(sqrt.f64 (*.f64 x (+.f64 x x)))
✓	3.8%	#s(literal 0 binary64)

Compiler

Compiled 234 to 77 computations (67.1% saved)

regimes34.0ms (0.1%)

Memory

-0.1MiB live, 75.2MiB allocated

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 x (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))))
(sqrt.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))
(hypot.f64 x x)
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

13.0ms	x
10.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
5.0ms	(pow.f64 x #s(literal 2 binary64))
5.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes20.0ms (0.1%)

Memory

4.5MiB live, 43.7MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(.f64 x (.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)))))
(sqrt.f64 (.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64)) (.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 0 binary64)))))

Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

4 calls:

6.0ms	x
5.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
5.0ms	(pow.f64 x #s(literal 2 binary64))
4.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
99.4%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
99.4%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes5.0ms (0%)

Memory

15.8MiB live, 15.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
3.8%	1	`x`
3.8%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
3.8%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
3.8%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify8.0ms (0%)

Memory

-22.6MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(literal 0 binary64)

Outputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(literal 0 binary64)

soundness103.0ms (0.4%)

Memory

27.3MiB live, 158.9MiB allocated

Rules

256×	`-lowering-.f32`
256×	`-lowering-.f64`
210×	`accelerator-lowering-fma.f32`
210×	`accelerator-lowering-fma.f64`
198×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148
0	19	54
1	104	20
0	1082	20
0	5	14
1	25	10
0	167	9

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	saturated

Compiler

Compiled 33 to 23 computations (30.3% saved)

preprocess28.0ms (0.1%)

Memory: -0.2MiB live, 76.0MiB allocated
Remove: (abs x)
Compiler: Compiled 52 to 30 computations (42.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	13	456
1	23	456
2	37	456
3	41	456
4	45	456
5	57	456
6	69	456
7	80	456
8	100	456
9	105	456
0	105	456

Iter	Nodes	Cost
0	16	484
1	29	484
2	50	484
3	60	484
4	64	484
5	76	484
6	88	484
7	105	484
8	137	484
9	138	484
0	138	484

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	13	456
1	23	456
2	37	456
3	41	456
4	45	456
5	57	456
6	69	456
7	80	456
8	100	456
9	105	456
0	105	456

Iter	Nodes	Cost
0	16	484
1	29	484
2	50	484
3	60	484
4	64	484
5	76	484
6	88	484
7	105	484
8	137	484
9	138	484
0	138	484

analyze0.0ms (0%)

sample512.0ms (2.1%)

preprocess20.0ms (0.1%)

explain69.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize18.0ms (0.1%)

series3.0ms (0%)

rewrite38.0ms (0.2%)

simplify13.0ms (0.1%)

eval8.0ms (0%)

prune6.0ms (0%)

simplify446.0ms (1.8%)

localize69.0ms (0.3%)

series3.0ms (0%)

rewrite82.0ms (0.3%)

simplify15.0ms (0.1%)

eval38.0ms (0.2%)

prune19.0ms (0.1%)

simplify339.0ms (1.4%)

localize106.0ms (0.4%)

series4.0ms (0%)

rewrite81.0ms (0.3%)

simplify21.0ms (0.1%)

eval64.0ms (0.3%)

prune53.0ms (0.2%)

simplify954.0ms (3.9%)

localize94.0ms (0.4%)

series5.0ms (0%)

rewrite721.0ms (3%)

simplify9.3s (38.3%)

eval9.4s (38.5%)

prune1.6s (6.8%)

regimes34.0ms (0.1%)

regimes20.0ms (0.1%)

regimes5.0ms (0%)

simplify8.0ms (0%)

soundness103.0ms (0.4%)

preprocess28.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	37	148
4	41	148
5	53	148
6	65	148
7	76	148
8	96	148
9	101	148
0	101	148

Iter	Nodes	Cost
0	13	456
1	23	456
2	37	456
3	41	456
4	45	456
5	57	456
6	69	456
7	80	456
8	100	456
9	105	456
0	105	456

Iter	Nodes	Cost
0	16	484
1	29	484
2	50	484
3	60	484
4	64	484
5	76	484
6	88	484
7	105	484
8	137	484
9	138	484
0	138	484