Metrics for Toniolo and Linder, Equation (7)

analyze384.0ms (2.7%)

Memory

-13.8MiB live, 580.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	74.9%	0.1%	0%	25%	0%	8
4.2%	3.1%	71.8%	0.1%	0%	25%	0%	9
6.3%	4.7%	70.2%	0.1%	0%	25%	0%	10
11.3%	7%	55.4%	0.1%	0%	37.4%	0%	11
16.9%	10.5%	51.9%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 29 to 20 computations (31% saved)

sample3.1s (21.9%)

Memory

55.5MiB live, 4 252.1MiB allocated

Samples

840.0ms	5 337×	0	valid
684.0ms	2 713×	1	valid
351.0ms	2 801×	0	invalid
336.0ms	1 593×	1	invalid
80.0ms	188×	2	valid
32.0ms	115×	2	invalid
9.0ms	18×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 526.0ms (29.9% of total)

ival-add: 327.0ms (18.6% of total)

ival-div: 300.0ms (17% of total)

ival-sqrt: 242.0ms (13.7% of total)

ival-sub: 185.0ms (10.5% of total)

adjust: 150.0ms (8.5% of total)

exact: 15.0ms (0.9% of total)

ival-true: 9.0ms (0.5% of total)

ival-assert: 5.0ms (0.3% of total)

Bogosity

preprocess701.0ms (4.9%)

Memory

-9.0MiB live, 549.5MiB allocated

Algorithm

1×	egg-herbie

Rules

25 302×	`lower-fma.f64`
25 302×	`lower-fma.f32`
4 556×	`lower-*.f32`
4 546×	`lower-*.f64`
2 076×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	250
1	221	248
2	650	246
3	2219	246
4	7024	246
0	18	27
0	31	27
1	58	27
2	113	27
3	212	27
4	437	27
5	990	27
6	2266	27
7	5077	27
0	8183	26

Stop Event

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

Calls

Call 1

Inputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

Outputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))) (*.f64 l (neg.f64 l)))))

Symmetry

(abs l)

(negabs t)

explain332.0ms (2.3%)

Memory

9.2MiB live, 367.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
109	-	3	(7.230678104348012e+61 7.004269414333505e-221 1.061662009075422e-161)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
89	-	1	(125.65945571172911 1.004183994192513e+118 8.599363731678658e-218)	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	-	0	-	`(*.f64 t t)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	-	0	-	`l`
0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	oflow-rescue	85	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	overflow	85
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	99
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	70
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	99
↳	`(*.f64 t t)`	overflow	70
↳	`(*.f64 l l)`	overflow	94
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	nan-rescue	47	0
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	overflow	99
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	70
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	99
↳	`(*.f64 t t)`	overflow	70
↳	`(*.f64 l l)`	overflow	47
↳	`(*.f64 l l)`	overflow	47
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	cancellation	41	1
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`	uflow-rescue	21	0
↳	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	underflow	21
↳	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`	underflow	15
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	44
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	15
↳	`(*.f64 t t)`	underflow	44
↳	`(*.f64 l l)`	underflow	150

Confusion

	Predicted +	Predicted -
+	161	3
-	0	92

Precision

1.0

Recall

0.9817073170731707

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	161	0	3
-	0	1	91

Precision?

0.9938271604938271

Recall?

0.9817073170731707

Freqs

test

number	freq
0	95
1	128
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	160×	1	valid
40.0ms	346×	0	valid
2.0ms	6×	2	valid

Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions

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

ival-div: 17.0ms (28.6% of total)

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

ival-sqrt: 8.0ms (13.5% of total)

ival-sub: 6.0ms (10.1% of total)

ival-add: 6.0ms (10.1% of total)

adjust: 4.0ms (6.7% of total)

exact: 1.0ms (1.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

▶

38.2%

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

Compiler

Compiled 30 to 18 computations (40% saved)

simplify620.0ms (4.3%)

Memory

6.1MiB live, 644.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	cost-diff	128	(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))

Rules

25 302×	`lower-fma.f64`
25 302×	`lower-fma.f32`
4 556×	`lower-*.f32`
4 546×	`lower-*.f64`
2 076×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	131
0	31	131
1	58	131
2	113	131
3	212	131
4	437	131
5	990	131
6	2266	131
7	5077	131
0	8183	126

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(*.f64 l l)
l
(.f64 #s(literal 2 binary64) (.f64 t t))
(*.f64 t t)

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (.f64 l (neg.f64 l)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))
(sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (*.f64 l (neg.f64 l))))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (*.f64 l (neg.f64 l)))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(*.f64 l l)
l
(.f64 #s(literal 2 binary64) (.f64 t t))
(*.f64 t t)

localize63.0ms (0.4%)

Memory

17.3MiB live, 136.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	69.9%	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))
✓	accuracy	60.5%	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))

Samples

21.0ms	173×	0	valid
18.0ms	80×	1	valid
1.0ms	3×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

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

ival-mult: 8.0ms (29.8% of total)

ival-sqrt: 5.0ms (18.6% of total)

ival-sub: 4.0ms (14.9% of total)

ival-div: 4.0ms (14.9% of total)

ival-add: 3.0ms (11.2% of total)

adjust: 2.0ms (7.5% of total)

exact: 0.0ms (0% of total)

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

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

series58.0ms (0.4%)

Memory

-11.7MiB live, 103.7MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))>
#<alt (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))>

Outputs
#<alt (* 2 (pow t 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (pow l 2)>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (pow l 2)>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))>
#<alt (pow l 2)>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (+ (* 2 (pow t 2)) (pow l 2))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (pow t 2))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))>
#<alt (* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))>
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#<alt (+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2)))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))>
#<alt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))>

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	l	@	0	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
4.0ms	t	@	0	(- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))

rewrite619.0ms (4.3%)

Memory

8.2MiB live, 527.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

13 380×	`lower-fma.f64`
13 380×	`lower-fma.f32`
6 638×	`lower-*.f32`
6 628×	`lower-*.f64`
3 164×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
0	31	85
1	116	85
2	928	84
0	8797	80

Stop Event

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

Counts

6 → 417

Calls

Call 1

Inputs
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))

Outputs
(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(+.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(-.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 l (.f64 l #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 l l) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 t (.f64 #s(literal 2 binary64) t) (.f64 l l))
(fma.f64 t (.f64 (.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) #s(literal 1 binary64) (*.f64 l l))
(fma.f64 #s(literal 1 binary64) (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))
(fma.f64 (.f64 l (.f64 l (.f64 l l))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(fma.f64 (.f64 #s(literal 2 binary64) t) t (.f64 l l))
(fma.f64 (.f64 #s(literal 2 binary64) t) (.f64 t #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (.f64 #s(literal 2 binary64) (.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) l) l (.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (.f64 #s(literal 1 binary64) t) (.f64 #s(literal 2 binary64) t) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) t)) t (*.f64 l l))
(neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(neg.f64 (/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))) (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (*.f64 l l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)) (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))))
(/.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (neg.f64 (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l)))
(/.f64 (-.f64 (.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))))) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l))))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))) (.f64 (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))) (+.f64 (/.f64 (.f64 l (.f64 l (.f64 l l))) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) (/.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64)))))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (*.f64 l l))))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (.f64 t (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 (.f64 l l) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))))))
(.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l))))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (.f64 l l)))))))
(.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64))))))
(.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 l l (.f64 t (.f64 t #s(literal -2 binary64))))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (.f64 (.f64 t t) (.f64 t (.f64 t (.f64 t t)))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 l l))) (.f64 l (.f64 l (*.f64 l l)))))))
(.f64 (neg.f64 (fma.f64 l (.f64 l (.f64 l l)) (.f64 (.f64 t (.f64 t (.f64 t t))) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (.f64 t (*.f64 t #s(literal -2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 t t) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 l (.f64 l (.f64 l l)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (*.f64 l l))))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) #s(literal 2 binary64))) t)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))) (neg.f64 (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))))
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simplify607.0ms (4.2%)

Memory

5.3MiB live, 838.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
3 974×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	10349
1	2332	9162
0	8701	8754

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 2 (pow t 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(pow l 2)
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(pow l 2)
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(pow l 2)
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(* 2 (pow t 2))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* 2 (pow t 2))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2)))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))

Outputs
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(+ (* 2 (pow t 2)) (pow l 2))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
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(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
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(.f64 (.f64 l l) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) (.f64 l l)) #s(literal 1 binary64)))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
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(* 2 (pow t 2))
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(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(.f64 t (fma.f64 (.f64 t t) (fma.f64 (.f64 (.f64 t t) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (.f64 (.f64 t t) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))) (/.f64 (.f64 #s(literal 8 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) #s(literal 4 binary64))))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
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(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))
(-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(-.f64 (fma.f64 x (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t)))) (.f64 l l))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(-.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) x)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 l l))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(-.f64 (fma.f64 x (fma.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64))) (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t)))) (.f64 l l))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x x))) (-.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) (.f64 x x)))) (-.f64 (/.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2))))))
(-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (/.f64 (.f64 t t) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 l l) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (.f64 l l) (.f64 x (.f64 x x)))))) (-.f64 (-.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 x (.f64 x x)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x)))
(* 2 (pow t 2))
(.f64 #s(literal 2 binary64) (.f64 t t))
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))
(+ (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) x)) (* 2 (pow t 2)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) x))) x)) x))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(fma.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(fma.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(fma.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))) (.f64 (*.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l (.f64 l (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))
(fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(-.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l l))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(-.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l l))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(-.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))) (.f64 l l))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(.f64 (.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(.f64 (.f64 t t) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 t t))) (/.f64 (.f64 l l) (neg.f64 (.f64 t t)))))

eval85.0ms (0.6%)

Memory: -0.9MiB live, 198.5MiB allocated
Compiler: Compiled 33 771 to 2 339 computations (93.1% saved)

prune93.0ms (0.7%)

Memory

-4.6MiB live, 238.1MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	540	21	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	541	21	562

Accuracy

90.9%

Counts

562 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
▶	77.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
	76.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
	3.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	18.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	32.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
	12.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
	27.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
	32.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
	38.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
▶	31.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
	56.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
	38.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))
▶	3.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
	55.7%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
	43.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
	76.4%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
	4.2%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
▶	75.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
	38.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))

Compiler

Compiled 1 160 to 698 computations (39.8% saved)

simplify344.0ms (2.4%)

Memory

14.1MiB live, 690.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	640	(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l))
✓	cost-diff	320	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	2240	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Rules

12 230×	`lower-fma.f32`
12 224×	`lower-fma.f64`
5 070×	`lower-*.f32`
5 050×	`lower-*.f64`
2 614×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	410
0	74	410
1	157	390
2	367	390
3	1227	390
4	3169	390
5	4598	390
6	7255	390
0	8222	384

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l)))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 l l)
l
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(neg.f64 l)
l
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(*.f64 t t)
(*.f64 l l)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(*.f64 t t)
(*.f64 l l)
l
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
x

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l)))
(sqrt.f64 (*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l)))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l))
(*.f64 l (-.f64 (/.f64 (fma.f64 x l l) (+.f64 x #s(literal -1 binary64))) l))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l))
(/.f64 (*.f64 l (fma.f64 x l l)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(*.f64 l l)
l
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))
(fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))
(neg.f64 l)
l
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l))) (+.f64 x #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(*.f64 t t)
(*.f64 l l)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
#s(literal 1/2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 t t) #s(literal 4 binary64))) (.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
(fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (*.f64 t t) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(*.f64 t t)
(*.f64 l l)
l
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
x

localize317.0ms (2.2%)

Memory

-21.1MiB live, 624.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	78.0%	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
✓	accuracy	97.9%	(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	90.8%	(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	81.9%	(fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	75.7%	(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	96.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
✓	accuracy	78.6%	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l)))
✓	accuracy	61.7%	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.0%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	99.6%	(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

Samples

86.0ms	130×	1	valid
58.0ms	24×	2	valid
43.0ms	70×	1	invalid
11.0ms	21×	0	invalid
3.0ms	2×	5	exit
2.0ms	7×	0	valid
1.0ms	1×	4	valid
1.0ms	1×	3	valid

Compiler

Compiled 412 to 44 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-div: 60.0ms (38% of total)

ival-mult: 46.0ms (29.1% of total)

ival-sqrt: 16.0ms (10.1% of total)

ival-add: 15.0ms (9.5% of total)

adjust: 13.0ms (8.2% of total)

ival-sub: 5.0ms (3.2% of total)

ival-neg: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series105.0ms (0.7%)

Memory

-1.6MiB live, 233.7MiB allocated

Counts

20 → 480

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l))>
#<alt (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))>
#<alt (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))>
#<alt (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l)))>
#<alt (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))>
#<alt (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))>

Outputs
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (* (sqrt -1) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))>
#<alt (+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))>
#<alt (* t (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (- (* -1 (pow l 2)) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (- (pow l 2) (* -1 (pow l 2))) x)>
#<alt (/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)>
#<alt (/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)>
#<alt (/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)>
#<alt (/ (- (pow l 2) (* -1 (pow l 2))) x)>
#<alt (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))>
#<alt (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))) x))) x))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* -1 (pow l 2))>
#<alt (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2))))>
#<alt (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))))>
#<alt (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2))))>
#<alt (pow l 2)>
#<alt (- (+ (/ (pow l 2) x) (pow l 2)) (* -1 (/ (pow l 2) x)))>
#<alt (- (+ (/ (pow l 2) x) (+ (/ (pow l 2) (pow x 2)) (pow l 2))) (+ (* -1 (/ (pow l 2) x)) (* -1 (/ (pow l 2) (pow x 2)))))>
#<alt (- (+ (/ (pow l 2) x) (+ (/ (pow l 2) (pow x 3)) (pow l 2))) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) x)) (* -1 (/ (pow l 2) (pow x 3))))))>
#<alt (pow l 2)>
#<alt (- (+ (/ (pow l 2) x) (pow l 2)) (* -1 (/ (pow l 2) x)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x)) (pow l 2))>
#<alt (+ (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x)) (pow l 2))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (/ (* (pow l 2) (+ 1 x)) (- x 1))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))>
#<alt (+ (* -1/2 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (+ (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/8 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (+ (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* x (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/16 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (- (pow l 2) (* -1 (pow l 2))))))>
#<alt (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))>
#<alt (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 5) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2))))))))))>
#<alt (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 5) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/16 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 7) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))>
#<alt (* -1 (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ x (- (pow l 2) (* -1 (pow l 2)))))))>
#<alt (* -1 (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2))))))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (* t (* (sqrt 2) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3))))) (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5))))) (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))>
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#<alt (+ (* 2 (pow t 2)) (+ (* x (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))>
#<alt (* x (+ (* 2 (pow t 2)) (pow l 2)))>
#<alt (* x (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (pow l 2)))))>
#<alt (* x (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (pow l 2)))))>
#<alt (* x (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (pow l 2)))))>
#<alt (* x (+ (* 2 (pow t 2)) (pow l 2)))>
#<alt (* -1 (* x (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)>
#<alt (/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)>
#<alt (/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>

Calls

120 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
6.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
5.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
3.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (/ (* (+ (* 2 (* t t)) (* l l)) (+ x 1)) (+ x -1)))))
3.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (* l l)) (* l l))))

rewrite430.0ms (3%)

Memory

11.3MiB live, 699.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 508×	`lower-/.f32`
4 494×	`lower-/.f64`
3 904×	`lower-fma.f32`
3 898×	`lower-*.f32`
3 898×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	282
0	74	278
1	311	257
2	2300	253
0	8446	251

Stop Event

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

Counts

20 → 712

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l))
(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (*.f64 l l)))
(fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))

Outputs
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 t (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)) (.f64 t (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t))) (neg.f64 (.f64 t (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64)) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (neg.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)))) (neg.f64 (neg.f64 (.f64 t (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 1 binary64))) (.f64 t (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) t)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)))
(/.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (.f64 t (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(.f64 (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64)))
(.f64 (/.f64 t (.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (/.f64 t t) (sqrt.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (/.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 (/.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) t) (.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 t t) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) t) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 t t)))))))
(/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 t t)) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) #s(literal 3 binary64)) (.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l))) (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l))) (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) (.f64 l l))))))
(.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (*.f64 l l)) (+.f64 #s(literal 1 binary64) x))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x))) (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x))))
(neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x))))
(neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t x)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x)))
(/.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) x)
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64))) (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal 1 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) x)
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) t)) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t x))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t x))))
(.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t x))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (neg.f64 x))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) t) (/.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (/.f64 #s(literal 2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (pow.f64 (/.f64 x (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(.f64 (/.f64 #s(literal 1 binary64) t) (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 (.f64 t t) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 t #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 t (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) #s(literal -1 binary64)))

simplify444.0ms (3.1%)

Memory

32.1MiB live, 777.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 558×	`lower-*.f64`
7 558×	`lower-*.f32`
6 624×	`lower-fma.f64`
6 624×	`lower-fma.f32`
4 110×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1406	21362
1	4705	20395
0	9177	19193

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
1
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* t (* (sqrt -1) (sqrt 2)))
(+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))
(* t (* (pow (sqrt -1) 2) (sqrt 2)))
(+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(- (* -1 (pow l 2)) (pow l 2))
(- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)
(/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)
(/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)
(/ (- (pow l 2) (* -1 (pow l 2))) x)
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(* -1 (* x (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)))))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)
(/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)
(/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)
(* 4 (/ t (* x (sqrt 2))))
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))
(* 4 (/ t (* x (sqrt 2))))
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))
(* 4 (/ t (* x (sqrt 2))))
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))

Outputs
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(* t (* (sqrt -1) (sqrt 2)))
(.f64 (.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))
(fma.f64 (neg.f64 t) (/.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal -1/2 binary64) (fma.f64 t (/.f64 (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x)))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 x (.f64 x x))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x))))
(* t (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x)))
(+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(fma.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(-.f64 (.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 x))) x))
(- (* -1 (pow l 2)) (pow l 2))
(neg.f64 (fma.f64 l l (*.f64 l l)))
(- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))
(-.f64 (fma.f64 x (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (.f64 l l))) (*.f64 l l))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))
(-.f64 (-.f64 (.f64 x (-.f64 (fma.f64 x (neg.f64 (fma.f64 l l (.f64 l l))) (neg.f64 (.f64 l l))) (.f64 l l))) (.f64 l l)) (.f64 l l))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))
(-.f64 (fma.f64 x (-.f64 (fma.f64 x (.f64 (neg.f64 (fma.f64 l l (.f64 l l))) (+.f64 x #s(literal 1 binary64))) (neg.f64 (.f64 l l))) (.f64 l l)) (neg.f64 (.f64 l l))) (.f64 l l))
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(/.f64 (fma.f64 l l (*.f64 l l)) x)
(/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)
(/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x)))) x)
(/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)
(/.f64 (-.f64 (fma.f64 l l (/.f64 (.f64 l l) (.f64 x x))) (-.f64 (neg.f64 (fma.f64 l l (/.f64 (.f64 l l) (.f64 x x)))) (/.f64 (fma.f64 l l (*.f64 l l)) x))) x)
(/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)
(/.f64 (-.f64 (fma.f64 l l (/.f64 (.f64 l l) (.f64 x (.f64 x x)))) (-.f64 (-.f64 (neg.f64 (fma.f64 l l (/.f64 (.f64 l l) (.f64 x (.f64 x x))))) (/.f64 (fma.f64 l l (.f64 l l)) (.f64 x x))) (/.f64 (fma.f64 l l (*.f64 l l)) x))) x)
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(/.f64 (fma.f64 l l (*.f64 l l)) x)
(* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) (neg.f64 x))
(* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x))
(/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x))) x)) x)
(* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 l l (.f64 l l)) (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (.f64 l l)) x))) x)) (neg.f64 x)) (fma.f64 l l (.f64 l l))) (neg.f64 x))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.f64 (.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
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(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 t t)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) t)
(/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 t t)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) t)
(* 4 (/ t (* x (sqrt 2))))
(/.f64 (.f64 #s(literal 4 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))
(.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 t t))) (/.f64 #s(literal 4 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))
(.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 t t))) (/.f64 #s(literal 4 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))
(.f64 t (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 t t))) (/.f64 #s(literal 4 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(* 4 (/ t (* x (sqrt 2))))
(/.f64 (.f64 #s(literal 4 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 l l) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 t t))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 t))
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 l l) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 t t))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 t))
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 l l) (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 t t))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 t))
(* 4 (/ t (* x (sqrt 2))))
(/.f64 (.f64 #s(literal 4 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 t (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 l l))) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 t (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 l l))) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 t (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 l l))) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))
(* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 t (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 l l))) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 t (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 l l))) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))
(.f64 (.f64 l l) (fma.f64 #s(literal 4 binary64) (/.f64 t (.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) (.f64 l l))) (/.f64 #s(literal 2 binary64) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))

eval251.0ms (1.8%)

Memory: 17.1MiB live, 399.1MiB allocated
Compiler: Compiled 65 868 to 4 540 computations (93.1% saved)

prune210.0ms (1.5%)

Memory

-28.2MiB live, 415.8MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1 286	25	1 311
Fresh	16	0	16
Picked	5	0	5
Done	0	0	0
Total	1 307	25	1 332

Accuracy

92.9%

Counts

1 332 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.2%	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	3.0%	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (.f64 t t))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) l)
	6.2%	(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
	74.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))
▶	6.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
	9.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	3.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l (*.f64 l (neg.f64 l)))))
	15.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (.f64 l l)) x)))
▶	16.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))
	16.0%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x))) (neg.f64 x))))
▶	77.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
	62.5%	(-.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 l l) (.f64 x (.f64 (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
	77.5%	(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
	77.3%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	9.6%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
	77.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
▶	42.0%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	15.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
	28.6%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	20.2%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
	41.9%	(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
	11.5%	(.f64 x (fma.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 l l (.f64 l l))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 l l (*.f64 l l))))))))
	11.6%	(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 l l (.f64 l l)))))) (fma.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 l l (.f64 l l)))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 l l (*.f64 l l)) (pow.f64 x #s(literal 5 binary64)))))))))
	77.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
▶	76.1%	#s(literal 1 binary64)

Compiler

Compiled 1 268 to 702 computations (44.6% saved)

simplify237.0ms (1.7%)

Memory

19.8MiB live, 292.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))
✓	cost-diff	192	(fma.f64 l l (/.f64 (*.f64 l l) x))
✓	cost-diff	192	(fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))
✓	cost-diff	1216	(+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x))))
✓	cost-diff	0	(/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	cost-diff	1984	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))

Rules

5 152×	`lower-/.f32`
5 136×	`lower-/.f64`
3 544×	`lower-*.f32`
3 534×	`lower-*.f64`
2 000×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	234
0	52	234
1	86	198
2	182	197
3	519	193
4	1346	193
5	1823	193
6	2065	193
7	2252	193
8	2426	193
9	2556	193
10	2684	193
11	3042	193
12	3061	193
13	3066	193
14	3263	193
15	3538	193
16	3822	193
17	4221	193
18	4620	193
19	4641	193
20	4643	193
21	4697	193
22	4697	193
23	5075	193
24	5468	193
25	6178	193
0	8080	192

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (0.7%)

Memory

-15.6MiB live, 230.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))
✓	accuracy	92.6%	(/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x)))) x)
✓	accuracy	92.6%	(/.f64 (*.f64 l l) x)
✓	accuracy	78.5%	(sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x)))) x))
✓	accuracy	99.6%	(.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
✓	accuracy	97.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
✓	accuracy	87.0%	(/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))

Samples

34.0ms	165×	0	valid
22.0ms	91×	0	invalid

Compiler

Compiled 236 to 31 computations (86.9% saved)

Precisions

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

ival-sqrt: 13.0ms (33.4% of total)

ival-div: 12.0ms (30.8% of total)

ival-add: 7.0ms (18% of total)

ival-mult: 7.0ms (18% of total)

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

exact: 0.0ms (0% of total)

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

series66.0ms (0.5%)

Memory

27.0MiB live, 141.2MiB allocated

Counts

21 → 396

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))>
#<alt (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x))))>
#<alt (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))>
#<alt (fma.f64 l l (/.f64 (*.f64 l l) x))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (sqrt.f64 (+.f64 x #s(literal -1 binary64)))>
#<alt (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x)))) x))>
#<alt (/.f64 (*.f64 l l) x)>
#<alt (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (.f64 l l) x)))) x)>

Outputs
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (pow (sqrt -1) 2)>
#<alt (- (pow (sqrt -1) 2) (/ 1 x))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (/ (pow l 2) (* t (* x (sqrt 2))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow l 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (* (pow l 2) (+ 2 (/ 1 x)))>
#<alt (/ (pow l 2) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (pow l 2)) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (pow l 2)) x)>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (pow l 2)) (/ (pow l 2) x))>
#<alt (+ (* 2 (pow l 2)) (/ (pow l 2) x))>
#<alt (+ (* 2 (pow l 2)) (/ (pow l 2) x))>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (pow l 2)) (/ (pow l 2) x))>
#<alt (+ (* 2 (pow l 2)) (/ (pow l 2) x))>
#<alt (+ (* 2 (pow l 2)) (/ (pow l 2) x))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (/ (pow l 2) x)>
#<alt (/ (+ (* (pow l 2) x) (pow l 2)) x)>
#<alt (/ (+ (* (pow l 2) x) (pow l 2)) x)>
#<alt (/ (+ (* (pow l 2) x) (pow l 2)) x)>
#<alt (pow l 2)>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (pow l 2)>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ x (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x))))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ x (+ 2 (* 2 (/ 1 x)))))))>
#<alt (/ (* t (* x (* (sqrt 1/2) (sqrt 2)))) l)>
#<alt (* x (+ (* -1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt 1/2)))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))>
#<alt (* x (+ (* x (+ (* -1/4 (/ (* t (sqrt 2)) (* l (sqrt 1/2)))) (* 1/2 (/ (* l (* t (* x (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 2))) (* 1/16 (/ 1 (* (pow l 2) (pow (sqrt 1/2) 2))))))))) (sqrt 1/2))))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))>
#<alt (* x (+ (* x (+ (* -1/4 (/ (* t (sqrt 2)) (* l (sqrt 1/2)))) (* x (+ (* -1/2 (/ (* l (* t (* x (* (sqrt 2) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow l 2))) (* 1/16 (/ 1 (* (pow l 2) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ 1 (pow l 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* l (* t (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 2))) (* 1/16 (/ 1 (* (pow l 2) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))))) (/ (* t (* (sqrt 1/2) (sqrt 2))) l)))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/2 (* (/ (* l (* t (* (sqrt 2) (+ (* 1/16 (/ x (* (pow l 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow l 2))))))) (sqrt 1/2)) (sqrt (/ 1 (pow x 7))))) (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x)))>
#<alt (* -1 (* x (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 5))))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (/ (* l (* t (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 2))) (* -1/16 (/ x (* (pow l 2) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)) (sqrt (/ 1 x)))) (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt x)))) (pow x 3))) (+ (* 1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* t (* x (sqrt 2)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x)))>
#<alt (* -1 (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x))))>
#<alt (* -1 (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x))))>
#<alt (* -1 (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x))))>
#<alt (* -1 (* l (sqrt (/ (+ 2 (* 2 (/ 1 x))) x))))>
#<alt (/ (* l (sqrt 2)) x)>
#<alt (/ (+ (* l (sqrt 2)) (/ (* l x) (sqrt 2))) x)>
#<alt (/ (+ (* l (sqrt 2)) (* x (+ (* -1/2 (/ (* l x) (pow (sqrt 2) 3))) (/ l (sqrt 2))))) x)>
#<alt (/ (+ (* l (sqrt 2)) (* x (+ (* x (+ (* -1/2 (/ l (pow (sqrt 2) 3))) (* 1/2 (/ (* l x) (pow (sqrt 2) 5))))) (/ l (sqrt 2))))) x)>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (* -1/2 (* (/ l (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3))))))>
#<alt (+ (* -1/2 (* (/ l (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ l (pow (sqrt 2) 5)) (sqrt (/ 1 (pow x 7))))) (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))))))>
#<alt (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x)))>
#<alt (+ (* -1 (* (/ (* l (pow (sqrt -1) 2)) (sqrt 2)) (sqrt (/ 1 (pow x 3))))) (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x))))>
#<alt (+ (* -1 (* (/ (* l (pow (sqrt -1) 2)) (sqrt 2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/2 (* (/ (* l (pow (sqrt -1) 2)) (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (* (/ (* l (pow (sqrt -1) 2)) (sqrt 2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/2 (* (/ (* l (pow (sqrt -1) 2)) (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (* (/ (* l (pow (sqrt -1) 2)) (pow (sqrt 2) 5)) (sqrt (/ 1 (pow x 7))))) (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x))))))>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (pow l 2) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (* 2 (/ (pow l 2) (pow x 2)))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))>

Calls

99 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	(/ (* (sqrt 2) t) (sqrt (/ (+ (/ (* l l) x) (+ (* l l) (+ (* l l) (/ (* l l) x)))) x)))
2.0ms	t	@	0	(/ (* (sqrt 2) t) (sqrt (/ (+ (/ (* l l) x) (+ (* l l) (+ (* l l) (/ (* l l) x)))) x)))
1.0ms	x	@	inf	(/ (* (sqrt 2) t) (sqrt (/ (+ (/ (* l l) x) (+ (* l l) (+ (* l l) (/ (* l l) x)))) x)))
1.0ms	x	@	0	(/ (* (sqrt 2) t) (sqrt (/ (+ (/ (* l l) x) (+ (* l l) (+ (* l l) (/ (* l l) x)))) x)))
1.0ms	t	@	0	(/ (* (sqrt 2) t) (/ (* l l) (* (* t x) (sqrt 2))))

rewrite385.0ms (2.7%)

Memory

-6.8MiB live, 666.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 938×	`lower-*.f32`
5 928×	`lower-*.f64`
4 706×	`lower-/.f32`
4 690×	`lower-/.f64`
2 514×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	198
0	52	197
1	203	160
2	1631	157
0	8866	157

Stop Event

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

Counts

21 → 793

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64) (.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(exp.f64 (-.f64 (.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 x))))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
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(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) x)) (.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (neg.f64 x)))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 x (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x t))
(.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)
(.f64 (.f64 x t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) t)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x))))) (sqrt.f64 (.f64 x (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (*.f64 x x))))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))))) (sqrt.f64 (.f64 x (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))))))
(/.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (.f64 x x))) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (*.f64 l (+.f64 l (/.f64 l x))))) x)))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (*.f64 x x)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))))
(pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x))))))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 l l))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 l l) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 l l)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 l l)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 l l))))
(/.f64 (*.f64 l l) x)
(/.f64 (neg.f64 (*.f64 l l)) (neg.f64 x))
(/.f64 (.f64 (.f64 l l) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (*.f64 l l))) (neg.f64 (neg.f64 x)))
(pow.f64 (/.f64 x (*.f64 l l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 l l) x))
(*.f64 l (/.f64 l x))
(.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 l l)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 l l))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) #s(literal -1 binary64)))
(*.f64 (/.f64 l x) l)
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (*.f64 x x)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))) (.f64 x (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))))
(/.f64 (.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (.f64 x x))) x))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (*.f64 l (+.f64 l (/.f64 l x))))) x))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (neg.f64 (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) #s(literal 1 binary64)) x)
(/.f64 (.f64 (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (*.f64 x x))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))))
(pow.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x))))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 x (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))) (/.f64 (.f64 (.f64 l l) (.f64 l (.f64 l (.f64 l l)))) (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))) (/.f64 (.f64 l l) x)) (/.f64 (.f64 l (.f64 l (.f64 l l))) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 x (.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (.f64 l (+.f64 l (/.f64 l x)))))))

simplify383.0ms (2.7%)

Memory

30.2MiB live, 574.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 908×	`lower-fma.f64`
12 908×	`lower-fma.f32`
5 856×	`lower-*.f64`
5 856×	`lower-*.f32`
4 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	4975
1	1504	4422
2	5239	4294
0	8333	4154

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

Calls

Call 1

Inputs
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
1
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
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(/ (pow l 2) x)
(/ (pow l 2) x)
(/ (pow l 2) x)
(/ (pow l 2) x)
(/ (pow l 2) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(* 2 (/ (pow l 2) (pow x 2)))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(* 2 (/ (pow l 2) x))
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(* 2 (/ (pow l 2) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))

Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) #s(literal 1/2 binary64)) x)) x))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(- (pow (sqrt -1) 2) (/ 1 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x x)))) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) #s(literal 1/2 binary64)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (fma.f64 #s(literal -1/4 binary64) (neg.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (neg.f64 x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 x (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (neg.f64 x))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
(/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 t t))) (.f64 l l))
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(fma.f64 l (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))
(+ (* -1/2 (* (/ l (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ l (pow (sqrt 2) 5)) (sqrt (/ 1 (pow x 7))))) (+ (* (* l (sqrt 2)) (sqrt (/ 1 x))) (* (/ l (sqrt 2)) (sqrt (/ 1 (pow x 3)))))))
(fma.f64 l (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) l) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))))
(* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x)))
(neg.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(+ (* -1 (* (/ (* l (pow (sqrt -1) 2)) (sqrt 2)) (sqrt (/ 1 (pow x 3))))) (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x))))
(.f64 (neg.f64 l) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1 (* (/ (* l (pow (sqrt -1) 2)) (sqrt 2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/2 (* (/ (* l (pow (sqrt -1) 2)) (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (neg.f64 l)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 l) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* -1 (* (/ (* l (pow (sqrt -1) 2)) (sqrt 2)) (sqrt (/ 1 (pow x 3))))) (+ (* -1/2 (* (/ (* l (pow (sqrt -1) 2)) (pow (sqrt 2) 3)) (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (* (/ (* l (pow (sqrt -1) 2)) (pow (sqrt 2) 5)) (sqrt (/ 1 (pow x 7))))) (* (* l (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 x))))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 l) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64))))) (.f64 (neg.f64 l) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))))))
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (* (pow l 2) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(* 2 (/ (pow l 2) (pow x 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (*.f64 x x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (fma.f64 x l l))) (*.f64 x x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (fma.f64 x l l))) (*.f64 x x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (fma.f64 x l l))) (*.f64 x x))
(* 2 (/ (pow l 2) x))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x))
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(* 2 (/ (pow l 2) x))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)

eval436.0ms (3%)

Memory: -138.7MiB live, 361.2MiB allocated
Compiler: Compiled 47 003 to 4 195 computations (91.1% saved)

prune223.0ms (1.6%)

Memory

-9.0MiB live, 308.1MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 304	15	1 319
Fresh	12	8	20
Picked	4	1	5
Done	0	0	0
Total	1 320	24	1 344

Accuracy

99.9%

Counts

1 344 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.2%	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	6.2%	(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
	74.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))
	5.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) l) x))
	25.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
	25.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	15.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))
	77.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	77.2%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
	62.5%	(-.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 l l) (.f64 x (.f64 (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
▶	77.3%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	15.8%	(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (sqrt.f64 x))
	22.4%	(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))
	5.4%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	4.3%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	41.2%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
	7.2%	(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 t l))
	15.8%	(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
▶	20.2%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	41.2%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
	22.1%	(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))
▶	15.9%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
▶	77.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
✓	76.1%	#s(literal 1 binary64)

Compiler

Compiled 806 to 520 computations (35.5% saved)

simplify297.0ms (2.1%)

Memory

-9.1MiB live, 353.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)))
✓	cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
✓	cost-diff	1024	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	cost-diff	512	(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Rules

8 428×	`lower-fma.f64`
8 428×	`lower-fma.f32`
3 854×	`lower-*.f32`
3 842×	`lower-*.f64`
2 128×	`lower-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	198
0	56	198
1	84	192
2	136	192
3	241	186
4	377	186
5	1019	186
6	3295	174
7	4400	174
8	6420	174
0	8130	174

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
t
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))
#s(literal 2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(*.f64 l (+.f64 l (/.f64 l x)))
l
(+.f64 l (/.f64 l x))
(/.f64 l x)
x

Outputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
(.f64 t (sqrt.f64 (/.f64 x (.f64 l (+.f64 l (/.f64 l x))))))
t
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)))
(sqrt.f64 (/.f64 x (*.f64 l (+.f64 l (/.f64 l x)))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))
(/.f64 x (*.f64 l (+.f64 l (/.f64 l x))))
#s(literal 2 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)
(/.f64 (.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) x)
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(.f64 l (.f64 l (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 l (+.f64 l (/.f64 l x)))
l
(+.f64 l (/.f64 l x))
(/.f64 l x)
x

localize101.0ms (0.7%)

Memory

-2.6MiB live, 192.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
✓	accuracy	100.0%	(*.f64 l (+.f64 l (/.f64 l x)))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)))
✓	accuracy	100.0%	(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
✓	accuracy	100.0%	(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))

Samples

58.0ms

256×

invalid

Compiler

Compiled 200 to 33 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 12.0ms (31.7% of total)

ival-sqrt: 10.0ms (26.4% of total)

ival-mult: 8.0ms (21.1% of total)

ival-add: 5.0ms (13.2% of total)

ival-sub: 2.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Memory

11.3MiB live, 49.5MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#<alt (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (sqrt.f64 (+.f64 x #s(literal -1 binary64)))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))>
#<alt (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))>
#<alt (.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))>
#<alt (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)))>
#<alt (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x x)>
#<alt (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))>
#<alt (*.f64 l (+.f64 l (/.f64 l x)))>

Outputs
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (/ (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))))) x)>
#<alt (/ (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5))))))))) x)>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))>
#<alt (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x)))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1 x))) 1)>
#<alt (- (* x (+ 1 (* x (- x 1)))) 1)>
#<alt (/ -1 x)>
#<alt (/ (- (/ 1 x) 1) x)>
#<alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (* -1 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* x (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 1/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 3)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ x (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (/ (pow x 2) (pow l 2))>
#<alt (* (pow x 2) (+ (* -1 (/ x (pow l 2))) (/ 1 (pow l 2))))>
#<alt (* (pow x 2) (+ (* x (- (/ x (pow l 2)) (/ 1 (pow l 2)))) (/ 1 (pow l 2))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow l 2))) (/ 1 (pow l 2)))) (/ 1 (pow l 2)))) (/ 1 (pow l 2))))>
#<alt (/ x (pow l 2))>
#<alt (* x (- (/ 1 (pow l 2)) (/ 1 (* (pow l 2) x))))>
#<alt (* x (- (+ (/ 1 (* (pow l 2) (pow x 2))) (/ 1 (pow l 2))) (/ 1 (* (pow l 2) x))))>
#<alt (* x (- (+ (/ 1 (* (pow l 2) (pow x 2))) (/ 1 (pow l 2))) (+ (/ 1 (* (pow l 2) x)) (/ 1 (* (pow l 2) (pow x 3))))))>
#<alt (/ x (pow l 2))>
#<alt (* -1 (* x (- (/ 1 (* (pow l 2) x)) (/ 1 (pow l 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (/ 1 (* (pow l 2) x)) (/ 1 (pow l 2))) x)) (/ 1 (pow l 2)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow l 2) x)) (/ 1 (pow l 2))) x)) (/ 1 (pow l 2))) x)) (/ 1 (pow l 2)))))>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (sqrt (/ x (* l (+ l (/ l x))))) t)>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (/ (* t x) l)>
#<alt (* x (+ (* -1/2 (/ (* t x) l)) (/ t l)))>
#<alt (* x (+ (* x (+ (* -1/2 (/ t l)) (* 3/8 (/ (* t x) l)))) (/ t l)))>
#<alt (* x (+ (* x (+ (* -1/2 (/ t l)) (* x (+ (* -5/16 (/ (* t x) l)) (* 3/8 (/ t l)))))) (/ t l)))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* x (+ (* -1/2 (* (/ t l) (sqrt (/ 1 (pow x 3))))) (* (/ t l) (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (* (/ t l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ t l) (sqrt (/ 1 (pow x 5))))) (* (/ t l) (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/2 (* (* l (* t (+ (* 1/4 (/ x (pow l 2))) (/ 1 (pow l 2))))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/2 (* (/ t l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ t l) (sqrt (/ 1 (pow x 5))))) (* (/ t l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))>
#<alt (* -1 (* x (+ (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (* l (* t (* (pow (sqrt -1) 2) (- (/ 1 (pow l 2)) (* -1/4 (/ x (pow l 2))))))) (sqrt (/ 1 x)))) (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))) (pow x 3))) (+ (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 x)))))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))>
#<alt (* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))>
#<alt (/ x l)>
#<alt (* x (+ (* -1/2 (/ x l)) (/ 1 l)))>
#<alt (* x (+ (* x (- (* 3/8 (/ x l)) (* 1/2 (/ 1 l)))) (/ 1 l)))>
#<alt (* x (+ (* x (- (* x (+ (* -5/16 (/ x l)) (* 3/8 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))>
#<alt (* (/ 1 l) (sqrt x))>
#<alt (* x (+ (* -1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 3))))) (* (/ 1 l) (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 5))))) (* (/ 1 l) (sqrt (/ 1 x))))))>
#<alt (* x (+ (* -1/2 (* (* l (+ (* 1/4 (/ x (pow l 2))) (/ 1 (pow l 2)))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 5))))) (* (/ 1 l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) l) (sqrt x)))>
#<alt (* -1 (* x (+ (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 3))))) (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 3))))) (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (* l (* (pow (sqrt -1) 2) (- (/ 1 (pow l 2)) (* -1/4 (/ x (pow l 2)))))) (sqrt (/ 1 x)))) (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt x)))) (pow x 3))) (+ (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 3))))) (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 x)))))))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))>
#<alt (* 2 (/ (pow l 2) (pow x 2)))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* -1/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))>
#<alt (* (sqrt x) (sqrt -1))>
#<alt (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))>
#<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 l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (* (pow l 2) (+ 1 (/ 1 x))))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (* 2 (pow l 2))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (* (pow l 2) (+ 1 (/ 1 x)))>
#<alt (/ (pow l 2) x)>
#<alt (/ (+ (* (pow l 2) x) (pow l 2)) x)>
#<alt (/ (+ (* (pow l 2) x) (pow l 2)) x)>
#<alt (/ (+ (* (pow l 2) x) (pow l 2)) x)>
#<alt (pow l 2)>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (pow l 2)>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>
#<alt (+ (/ (pow l 2) x) (pow l 2))>

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sqrt (/ 2 (/ (* 2 (* l (+ l (/ l x)))) x)))
2.0ms	t	@	0	(* t (sqrt (/ 2 (/ (* 2 (* l (+ l (/ l x)))) x))))
1.0ms	x	@	-inf	(* t (sqrt (/ 2 (/ (* 2 (* l (+ l (/ l x)))) x))))
1.0ms	l	@	0	(/ 2 (/ (* 2 (* l (+ l (/ l x)))) x))
1.0ms	l	@	inf	(/ 2 (/ (* 2 (* l (+ l (/ l x)))) x))

rewrite308.0ms (2.2%)

Memory

8.0MiB live, 438.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 444×	`lower-/.f32`
4 430×	`lower-/.f64`
3 578×	`lower-fma.f64`
3 578×	`lower-fma.f32`
3 242×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	160
0	56	152
1	206	144
2	1466	128
0	8820	128

Stop Event

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

Counts

21 → 1 221

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))) x)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(*.f64 l (+.f64 l (/.f64 l x)))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 x x))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
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(*.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) l))
(+.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64)))
(+.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)))
(+.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 l (+.f64 l (/.f64 l x))) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x)))
(fma.f64 l (.f64 #s(literal 2 binary64) l) (.f64 (/.f64 l x) (*.f64 #s(literal 2 binary64) l)))
(fma.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l) (.f64 l (*.f64 #s(literal 2 binary64) l)))
(fma.f64 (.f64 l l) #s(literal 2 binary64) (.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) l) l (.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l x)))
(fma.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x) (.f64 (*.f64 #s(literal 2 binary64) l) l))
(neg.f64 (.f64 (.f64 l (+.f64 l (/.f64 l x))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l)) (.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 l (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 l l) (/.f64 (.f64 l l) (*.f64 x x))))))
(/.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 #s(literal 1 binary64) (+.f64 l (/.f64 l x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 l l) (/.f64 (.f64 l l) (*.f64 x x)))) (-.f64 l (/.f64 l x)))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 l l) (/.f64 (.f64 l l) (*.f64 x x))))) (neg.f64 (-.f64 l (/.f64 l x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 2 binary64) (.f64 l l)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) l) (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) l)) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) l)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64))) (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) #s(literal 3 binary64))) (fma.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l)) (-.f64 (.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) #s(literal 3 binary64)) (pow.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (-.f64 (.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l))) (.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 l l) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) l)) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x))) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) l) (.f64 (.f64 #s(literal 2 binary64) l) l))) (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l x)) (.f64 (.f64 #s(literal 2 binary64) l) l)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l))) (.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)))) (-.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l)))) (-.f64 (.f64 (/.f64 l x) (.f64 #s(literal 2 binary64) l)) (.f64 l (.f64 #s(literal 2 binary64) l))))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 l (+.f64 l (/.f64 l x))) #s(literal -2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(.f64 l (.f64 (+.f64 l (/.f64 l x)) #s(literal 2 binary64)))
(.f64 (+.f64 l (/.f64 l x)) (.f64 #s(literal 2 binary64) l))
(.f64 (.f64 l (+.f64 l (/.f64 l x))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) l) (+.f64 l (/.f64 l x)))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 l (/.f64 l x))) l)
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (*.f64 l l))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l x))))
(+.f64 (.f64 l l) (/.f64 (.f64 l l) x))
(+.f64 (/.f64 (.f64 l l) x) (.f64 l l))
(-.f64 (/.f64 (.f64 (.f64 l l) (.f64 l l)) (-.f64 (.f64 l l) (/.f64 (.f64 l l) x))) (/.f64 (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) (-.f64 (.f64 l l) (/.f64 (*.f64 l l) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 l (/.f64 #s(literal 1 binary64) l)) (*.f64 l l))
(fma.f64 l l (/.f64 (*.f64 l l) x))
(fma.f64 l (/.f64 l x) (*.f64 l l))
(fma.f64 (/.f64 l x) l (*.f64 l l))
(fma.f64 (/.f64 l x) (/.f64 l #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (/.f64 l x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l)) (*.f64 l l))
(fma.f64 (/.f64 l x) (/.f64 (neg.f64 l) #s(literal -1 binary64)) (*.f64 l l))
(fma.f64 (neg.f64 l) (neg.f64 l) (/.f64 (*.f64 l l) x))
(fma.f64 (.f64 l l) (/.f64 #s(literal 1 binary64) x) (.f64 l l))
(fma.f64 (.f64 l (neg.f64 l)) (/.f64 #s(literal -1 binary64) x) (.f64 l l))
(fma.f64 (.f64 (neg.f64 l) l) (/.f64 #s(literal -1 binary64) x) (.f64 l l))
(fma.f64 (/.f64 l (neg.f64 x)) (/.f64 l #s(literal -1 binary64)) (*.f64 l l))
(fma.f64 (/.f64 l #s(literal 1 binary64)) (/.f64 l x) (*.f64 l l))
(fma.f64 (/.f64 (neg.f64 l) #s(literal -1 binary64)) (/.f64 l x) (*.f64 l l))
(fma.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 l (neg.f64 x)) (*.f64 l l))
(fma.f64 (pow.f64 l #s(literal 1 binary64)) (pow.f64 l #s(literal 1 binary64)) (/.f64 (*.f64 l l) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 l l) (.f64 l l) (-.f64 (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) (.f64 (.f64 l l) (/.f64 (.f64 l l) x)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 l l) (/.f64 (.f64 l l) x)) (-.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (.f64 l l) (/.f64 (.f64 l l) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l)) (.f64 l (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 l (/.f64 l x)) (.f64 l (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l)) (.f64 (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (*.f64 x x)))) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 l (/.f64 l x)) (.f64 (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) l)))
(/.f64 l (/.f64 #s(literal 1 binary64) (+.f64 l (/.f64 l x))))
(/.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))))) (fma.f64 (.f64 l l) (.f64 l l) (-.f64 (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) (.f64 (.f64 l l) (/.f64 (.f64 l l) x)))))
(/.f64 (-.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x)))) (-.f64 (.f64 l l) (/.f64 (*.f64 l l) x)))
(/.f64 (.f64 l (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))))) (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (*.f64 l l)))
(/.f64 (.f64 l (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x)))) (-.f64 l (/.f64 l x)))
(/.f64 (.f64 (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))) l) (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (*.f64 l l)))
(/.f64 (.f64 (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) l) (-.f64 l (/.f64 l x)))
(/.f64 (neg.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (.f64 l l) (.f64 l l) (-.f64 (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) (.f64 (.f64 l l) (/.f64 (.f64 l l) x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))))) (neg.f64 (-.f64 (.f64 l l) (/.f64 (*.f64 l l) x))))
(/.f64 (neg.f64 (.f64 l (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))))) (neg.f64 (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (*.f64 l l))))
(/.f64 (neg.f64 (.f64 l (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))))) (neg.f64 (-.f64 l (/.f64 l x))))
(/.f64 (neg.f64 (.f64 (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))) l)) (neg.f64 (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (*.f64 l l))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) l)) (neg.f64 (-.f64 l (/.f64 l x))))
(/.f64 (fma.f64 (.f64 l (.f64 l l)) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))) (.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)))) (fma.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x)) (-.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (/.f64 (.f64 l l) x) (.f64 l l)))))
(/.f64 (-.f64 (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) (.f64 (.f64 l l) (.f64 l l))) (-.f64 (/.f64 (.f64 l l) x) (*.f64 l l)))
(*.f64 l (+.f64 l (/.f64 l x)))
(*.f64 (+.f64 l (/.f64 l x)) l)
(.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 l l) (.f64 l l) (-.f64 (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x))) (.f64 (.f64 l l) (/.f64 (*.f64 l l) x))))))
(.f64 (-.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (.f64 l l) (/.f64 (.f64 l l) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 l l) (/.f64 (.f64 l l) x))))
(.f64 (.f64 l (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l))))
(.f64 (.f64 l (-.f64 (.f64 l l) (/.f64 (.f64 l l) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l x))))
(.f64 (.f64 (fma.f64 l (.f64 l l) (/.f64 (.f64 l (.f64 l l)) (.f64 x (.f64 x x)))) l) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 l x) (-.f64 (/.f64 l x) l) (.f64 l l))))
(.f64 (.f64 (-.f64 (.f64 l l) (/.f64 (.f64 l l) (*.f64 x x))) l) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l x))))

simplify435.0ms (3%)

Memory

34.3MiB live, 500.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 564×	`lower-fma.f64`
8 564×	`lower-fma.f32`
6 260×	`lower-*.f64`
6 260×	`lower-*.f32`
2 532×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	4194
1	1812	3551
2	5971	3518
0	8135	3401

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

Calls

Call 1

Inputs
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(pow (sqrt -1) 2)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -2 x))) 1)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* (sqrt (/ 1 x)) (sqrt -1))
(/ (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1))) x)
(/ (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))))) x)
(/ (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5))))))))) x)
1
(- 1 (* 1/2 (/ 1 x)))
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))
(- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x)))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(pow (sqrt -1) 2)
(+ (* -1 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* 1/2 (/ 1 x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* x (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 1/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 3))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 3)))
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 3))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ x (* (pow l 2) (+ 1 (/ 1 x))))
(/ (pow x 2) (pow l 2))
(* (pow x 2) (+ (* -1 (/ x (pow l 2))) (/ 1 (pow l 2))))
(* (pow x 2) (+ (* x (- (/ x (pow l 2)) (/ 1 (pow l 2)))) (/ 1 (pow l 2))))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow l 2))) (/ 1 (pow l 2)))) (/ 1 (pow l 2)))) (/ 1 (pow l 2))))
(/ x (pow l 2))
(* x (- (/ 1 (pow l 2)) (/ 1 (* (pow l 2) x))))
(* x (- (+ (/ 1 (* (pow l 2) (pow x 2))) (/ 1 (pow l 2))) (/ 1 (* (pow l 2) x))))
(* x (- (+ (/ 1 (* (pow l 2) (pow x 2))) (/ 1 (pow l 2))) (+ (/ 1 (* (pow l 2) x)) (/ 1 (* (pow l 2) (pow x 3))))))
(/ x (pow l 2))
(* -1 (* x (- (/ 1 (* (pow l 2) x)) (/ 1 (pow l 2)))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* (pow l 2) x)) (/ 1 (pow l 2))) x)) (/ 1 (pow l 2)))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow l 2) x)) (/ 1 (pow l 2))) x)) (/ 1 (pow l 2))) x)) (/ 1 (pow l 2)))))
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (sqrt (/ x (* l (+ l (/ l x))))) t)
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ t l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))
(* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))
(* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))
(* -1 (* (/ t l) (sqrt (/ x (+ 1 (/ 1 x))))))
(/ (* t x) l)
(* x (+ (* -1/2 (/ (* t x) l)) (/ t l)))
(* x (+ (* x (+ (* -1/2 (/ t l)) (* 3/8 (/ (* t x) l)))) (/ t l)))
(* x (+ (* x (+ (* -1/2 (/ t l)) (* x (+ (* -5/16 (/ (* t x) l)) (* 3/8 (/ t l)))))) (/ t l)))
(* (/ t l) (sqrt x))
(* x (+ (* -1/2 (* (/ t l) (sqrt (/ 1 (pow x 3))))) (* (/ t l) (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (* (/ t l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ t l) (sqrt (/ 1 (pow x 5))))) (* (/ t l) (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (* (* l (* t (+ (* 1/4 (/ x (pow l 2))) (/ 1 (pow l 2))))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/2 (* (/ t l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ t l) (sqrt (/ 1 (pow x 5))))) (* (/ t l) (sqrt (/ 1 x)))))))
(* -1 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))
(* -1 (* x (+ (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (* l (* t (* (pow (sqrt -1) 2) (- (/ 1 (pow l 2)) (* -1/4 (/ x (pow l 2))))))) (sqrt (/ 1 x)))) (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt x)))) (pow x 3))) (+ (* 1/2 (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (pow (sqrt -1) 2)) l) (sqrt (/ 1 x)))))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x)))))
(* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))
(* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))
(* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))
(* -1 (* (/ 1 l) (sqrt (/ x (+ 1 (/ 1 x))))))
(/ x l)
(* x (+ (* -1/2 (/ x l)) (/ 1 l)))
(* x (+ (* x (- (* 3/8 (/ x l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* x (+ (* x (- (* x (+ (* -5/16 (/ x l)) (* 3/8 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* (/ 1 l) (sqrt x))
(* x (+ (* -1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 3))))) (* (/ 1 l) (sqrt (/ 1 x)))))
(* x (+ (* -1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 5))))) (* (/ 1 l) (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (* (* l (+ (* 1/4 (/ x (pow l 2))) (/ 1 (pow l 2)))) (sqrt (/ 1 (pow x 7))))) (+ (* -1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (/ 1 l) (sqrt (/ 1 (pow x 5))))) (* (/ 1 l) (sqrt (/ 1 x)))))))
(* -1 (* (/ (pow (sqrt -1) 2) l) (sqrt x)))
(* -1 (* x (+ (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 3))))) (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 5))))) (+ (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 3))))) (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (* l (* (pow (sqrt -1) 2) (- (/ 1 (pow l 2)) (* -1/4 (/ x (pow l 2)))))) (sqrt (/ 1 x)))) (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt x)))) (pow x 3))) (+ (* 1/2 (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 (pow x 3))))) (* (/ (pow (sqrt -1) 2) l) (sqrt (/ 1 x)))))))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (* (pow l 2) (+ 1 (/ 1 x))) x))
(* 2 (/ (pow l 2) (pow x 2)))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(* 2 (/ (pow l 2) x))
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(* 2 (/ (pow l 2) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(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 l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(* 2 (/ (pow l 2) x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)
(* 2 (pow l 2))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(* 2 (pow l 2))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(/ (pow l 2) x)
(/ (+ (* (pow l 2) x) (pow l 2)) x)
(/ (+ (* (pow l 2) x) (pow l 2)) x)
(/ (+ (* (pow l 2) x) (pow l 2)) x)
(pow l 2)
(+ (/ (pow l 2) x) (pow l 2))
(+ (/ (pow l 2) x) (pow l 2))
(+ (/ (pow l 2) x) (pow l 2))
(pow l 2)
(+ (/ (pow l 2) x) (pow l 2))
(+ (/ (pow l 2) x) (pow l 2))
(+ (/ (pow l 2) x) (pow l 2))

Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x) #s(literal -1/2 binary64)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ 2 (* -2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (*.f64 x x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l))) (.f64 x x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l))) (.f64 x x))
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) (pow x 2))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l))) (.f64 x x))
(* 2 (/ (pow l 2) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l (/.f64 l x))) x))
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l (/.f64 l x))) x))
(/ (+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2))) x)
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l (/.f64 l x))) x))
(* 2 (/ (pow l 2) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l (/.f64 l x))) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l (/.f64 l x))) x))
(* -1 (/ (+ (* -2 (/ (pow l 2) x)) (* -2 (pow l 2))) x))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 l (+.f64 l (/.f64 l x))) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -1/8 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal -1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 x (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 x (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (* (pow l 2) (+ 1 (/ 1 x))))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (/ (pow l 2) x))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) x)
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l))) x)
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l))) x)
(/ (+ (* 2 (* (pow l 2) x)) (* 2 (pow l 2))) x)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l))) x)
(* 2 (pow l 2))
(.f64 #s(literal 2 binary64) (.f64 l l))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* 2 (pow l 2))
(.f64 #s(literal 2 binary64) (.f64 l l))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(+ (* 2 (/ (pow l 2) x)) (* 2 (pow l 2)))
(.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x))))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(* (pow l 2) (+ 1 (/ 1 x)))
(*.f64 l (+.f64 l (/.f64 l x)))
(/ (pow l 2) x)
(/.f64 (*.f64 l l) x)
(/ (+ (* (pow l 2) x) (pow l 2)) x)
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l)) x)
(/ (+ (* (pow l 2) x) (pow l 2)) x)
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l)) x)
(/ (+ (* (pow l 2) x) (pow l 2)) x)
(/.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 l l)) x)
(pow l 2)
(*.f64 l l)
(+ (/ (pow l 2) x) (pow l 2))
(*.f64 l (+.f64 l (/.f64 l x)))
(+ (/ (pow l 2) x) (pow l 2))
(*.f64 l (+.f64 l (/.f64 l x)))
(+ (/ (pow l 2) x) (pow l 2))
(*.f64 l (+.f64 l (/.f64 l x)))
(pow l 2)
(*.f64 l l)
(+ (/ (pow l 2) x) (pow l 2))
(*.f64 l (+.f64 l (/.f64 l x)))
(+ (/ (pow l 2) x) (pow l 2))
(*.f64 l (+.f64 l (/.f64 l x)))
(+ (/ (pow l 2) x) (pow l 2))
(*.f64 l (+.f64 l (/.f64 l x)))

eval216.0ms (1.5%)

Memory: 3.3MiB live, 392.0MiB allocated
Compiler: Compiled 41 330 to 5 211 computations (87.4% saved)

prune309.0ms (2.2%)

Memory

-36.0MiB live, 491.7MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1 873	12	1 885
Fresh	11	7	18
Picked	3	2	5
Done	0	1	1
Total	1 887	22	1 909

Accuracy

100.0%

Counts

1 909 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.2%	(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
	41.2%	(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
	25.2%	(/.f64 (*.f64 (sqrt.f64 x) t) l)
	74.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))
	25.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
	5.0%	(/.f64 (*.f64 x t) l)
	77.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
	77.2%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
	3.7%	(/.f64 #s(literal -1 binary64) x)
	62.5%	(-.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 l l) (.f64 x (.f64 (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
✓	77.3%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
	22.5%	(*.f64 (/.f64 t l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
	77.1%	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
	15.9%	(.f64 (sqrt.f64 (/.f64 x (.f64 l (+.f64 l (/.f64 l x))))) t)
	22.1%	(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))
	25.2%	(*.f64 t (/.f64 (sqrt.f64 x) l))
	5.1%	(*.f64 t (/.f64 x l))
	15.8%	(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
	41.5%	(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
✓	77.6%	(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
	77.2%	(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
✓	76.1%	#s(literal 1 binary64)

Compiler

Compiled 1 691 to 526 computations (68.9% saved)

regimes123.0ms (0.9%)

Memory

42.7MiB live, 198.5MiB allocated

Counts

74 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 t (/.f64 x l))
(/.f64 (*.f64 x t) l)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 t (/.f64 (sqrt.f64 x) l))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 x (.f64 l (+.f64 l (/.f64 l x))))) t)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 t l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 t l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) l) x))
(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (.f64 l l)) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l (*.f64 l (neg.f64 l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x))) (neg.f64 x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
(.f64 x (fma.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 l l (.f64 l l))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 l l (*.f64 l l))))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (.f64 l l) (.f64 x (.f64 (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) t) (.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 t (.f64 t t))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 l l)))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) l)
(.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 l l (.f64 l l)))))) (fma.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 l l (.f64 l l)))))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 l l (*.f64 l l)) (pow.f64 x #s(literal 5 binary64)))))))))

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

Calls

6 calls:

24.0ms	l
23.0ms	t
19.0ms	x
18.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
17.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
77.6%	1	`x`
86.7%	4	`l`
87.9%	4	`t`
84.4%	3	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
77.6%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
84.8%	3	`(*.f64 l l)`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes24.0ms (0.2%)

Memory

-29.9MiB live, 47.4MiB allocated

Counts

70 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 t (/.f64 x l))
(/.f64 (*.f64 x t) l)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 t (/.f64 (sqrt.f64 x) l))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 x (.f64 l (+.f64 l (/.f64 l x))))) t)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 t l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 t l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) l) x))
(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (.f64 l l)) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l (*.f64 l (neg.f64 l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x))) (neg.f64 x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x))))
(.f64 x (fma.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 l l (.f64 l l))))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (fma.f64 l l (*.f64 l l))))))))

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
87.8%	4	`t`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes59.0ms (0.4%)

Memory

31.2MiB live, 110.7MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 t (/.f64 x l))
(/.f64 (*.f64 x t) l)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 t (/.f64 (sqrt.f64 x) l))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 x (.f64 l (+.f64 l (/.f64 l x))))) t)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 t l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 t l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) l) x))
(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (.f64 l l)) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l (*.f64 l (neg.f64 l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 l (+.f64 l (/.f64 l x)))))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (neg.f64 (+.f64 (fma.f64 l l (.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x))) (neg.f64 x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 l l) x) (fma.f64 l l (fma.f64 l l (/.f64 (*.f64 l l) x)))) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) x)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (fma.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (.f64 x x) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))) (neg.f64 (.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (*.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))))

Outputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))

(*.f64 t (/.f64 (sqrt.f64 x) l))

Calls

3 calls:

20.0ms	t
19.0ms	l
16.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
82.5%	2	`(*.f64 l l)`
83.2%	2	`l`
82.3%	2	`t`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.2%)

Memory

-11.9MiB live, 26.2MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 t (/.f64 x l))
(/.f64 (*.f64 x t) l)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 t (/.f64 (sqrt.f64 x) l))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x))
(.f64 t (sqrt.f64 (/.f64 x (.f64 l l))))
(/.f64 (.f64 (.f64 t t) (.f64 x #s(literal 2 binary64))) (.f64 l l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (.f64 (.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 x (.f64 l (+.f64 l (/.f64 l x))))) t)
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 t l))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 t l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) l) x))
(.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 t l)))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l l)) x)))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (.f64 l l)) x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 l (+.f64 l (/.f64 l x)))) x))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (.f64 #s(literal -2 binary64) (.f64 t t))) (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)) (.f64 l l))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) x) l) (+.f64 x #s(literal -1 binary64))) l (*.f64 l (neg.f64 l)))))
(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (.f64 l l))))))

Outputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 t (/.f64 (sqrt.f64 x) l))

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
83.2%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 t (/.f64 (sqrt.f64 x) l))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
83.2%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Memory

-29.0MiB live, 8.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 t (/.f64 (sqrt.f64 x) l))

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
83.0%	2	`l`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Memory

-6.9MiB live, 42.1MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))

Calls

6 calls:

9.0ms	x
3.0ms	l
3.0ms	t
3.0ms	(*.f64 l l)
3.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Results

Accuracy	Segments	Branch
77.3%	1	`x`
77.3%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
77.3%	1	`t`
77.3%	1	`(*.f64 l l)`
77.3%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
77.3%	1	`l`

Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total -46.4b remaining (-302.6%)

Threshold costs -46.4b (-302.6%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)

Outputs
#s(literal 1 binary64)

Calls

6 calls:

1.0ms	x
1.0ms	l
1.0ms	t
1.0ms	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
1.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
76.1%	1	`x`
76.1%	1	`l`
76.1%	1	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
76.1%	1	`(*.f64 l l)`
76.1%	1	`t`
76.1%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`

Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch97.0ms (0.7%)

Memory

-3.5MiB live, 186.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	110483607368469.25	985442001516292.8
36.0ms	1.0763601483346241e-160	1.4645888440238725e-153
28.0ms	1.492297247612127e-231	9.401037755078725e-231

Samples

36.0ms	182×	1	valid
14.0ms	140×	0	valid
7.0ms	14×	2	valid
6.0ms	31×	1	invalid
2.0ms	6×	2	invalid
1.0ms	13×	0	invalid

Compiler

Compiled 1 524 to 783 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 16.0ms (30.5% of total)

ival-sqrt: 9.0ms (17.2% of total)

adjust: 8.0ms (15.3% of total)

ival-div: 7.0ms (13.4% of total)

ival-sub: 6.0ms (11.4% of total)

ival-add: 6.0ms (11.4% of total)

exact: 0.0ms (0% of total)

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

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

bsearch93.0ms (0.7%)

Memory

-4.8MiB live, 191.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	110483607368469.25	985442001516292.8
37.0ms	1.0763601483346241e-160	1.4645888440238725e-153
25.0ms	1.492297247612127e-231	9.401037755078725e-231

Samples

33.0ms	175×	1	valid
16.0ms	146×	0	valid
7.0ms	36×	1	invalid
4.0ms	13×	2	valid
2.0ms	7×	2	invalid
1.0ms	10×	0	invalid
1.0ms	2×	4	valid

Compiler

Compiled 1 299 to 708 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 13.0ms (26.8% of total)

ival-div: 8.0ms (16.5% of total)

adjust: 7.0ms (14.4% of total)

ival-sqrt: 7.0ms (14.4% of total)

ival-sub: 6.0ms (12.4% of total)

ival-add: 6.0ms (12.4% of total)

exact: 1.0ms (2.1% of total)

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

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

bsearch68.0ms (0.5%)

Memory

7.9MiB live, 46.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
64.0ms	3.1705335093593986e+160	6.460024278431852e+164

Samples

48.0ms	78×	1	valid
5.0ms	28×	1	invalid
5.0ms	50×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 289 to 208 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 5.0ms (26.7% of total)

ival-div: 3.0ms (16% of total)

adjust: 3.0ms (16% of total)

ival-sqrt: 3.0ms (16% of total)

ival-sub: 2.0ms (10.7% of total)

ival-add: 2.0ms (10.7% of total)

exact: 0.0ms (0% of total)

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

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

bsearch47.0ms (0.3%)

Memory

10.6MiB live, 52.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	3.1705335093593986e+160	6.460024278431852e+164

Samples

19.0ms	54×	0	valid
13.0ms	74×	1	valid
5.0ms	26×	1	invalid
0.0ms	4×	0	invalid

Compiler

Compiled 225 to 168 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sqrt: 16.0ms (49.8% of total)

ival-mult: 5.0ms (15.6% of total)

ival-add: 3.0ms (9.3% of total)

ival-div: 3.0ms (9.3% of total)

adjust: 3.0ms (9.3% of total)

ival-sub: 2.0ms (6.2% of total)

exact: 0.0ms (0% of total)

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

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

bsearch39.0ms (0.3%)

Memory

-2.1MiB live, 72.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	3.1705335093593986e+160	6.460024278431852e+164

Samples

17.0ms	84×	1	valid
8.0ms	31×	1	invalid
4.0ms	44×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 209 to 160 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (33.7% of total)

ival-add: 4.0ms (16.9% of total)

ival-sub: 3.0ms (12.6% of total)

ival-div: 3.0ms (12.6% of total)

adjust: 3.0ms (12.6% of total)

ival-sqrt: 3.0ms (12.6% of total)

exact: 0.0ms (0% of total)

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

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

bsearch34.0ms (0.2%)

Memory

28.6MiB live, 65.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.1705335093593986e+160	6.460024278431852e+164

Samples

12.0ms	67×	1	valid
8.0ms	61×	0	valid
4.0ms	23×	1	invalid
0.0ms	2×	0	invalid

Compiler

Compiled 185 to 144 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.2% of total)

ival-div: 3.0ms (15.1% of total)

ival-sqrt: 3.0ms (15.1% of total)

adjust: 2.0ms (10.1% of total)

ival-sub: 2.0ms (10.1% of total)

ival-add: 2.0ms (10.1% of total)

exact: 0.0ms (0% of total)

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

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

simplify81.0ms (0.6%)

Memory

-19.5MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Rules

414×	`distribute-lft-neg-in_binary64`
258×	`unsub-neg_binary64`
234×	`neg-mul-1_binary64`
210×	`neg-sub0_binary64`
170×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	312
1	115	312
2	130	312
3	145	311
4	171	311
5	219	311
6	263	311
7	329	311
8	436	311
9	562	311
10	681	311
11	793	311
12	900	311
13	989	311
14	1096	311
15	1191	311
16	1268	311
17	1304	311
18	1321	311
19	1347	311
20	1351	311
21	1352	311

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 t #s(literal 7516313894619283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (if (<=.f64 t #s(literal 3324120595798525/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))) (if (<=.f64 t #s(literal 960000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 8565101879914997/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (if (<=.f64 t #s(literal 7724623098808001/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))) (if (<=.f64 t #s(literal 400000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 l #s(literal 10500000000000000146591995081116184631419405001159738118086240339420816138209014190270147855982450890614812170283833853449110901566136279260193168065167328123289600 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 11500000000000000084441934719232582097869930160598706103461965655343501997091379192763003352946493951549712149905728066452293428660044928595956157985868879524528128 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 35000000000000002569805683814382103025796169865976664226019562908050154366801353717814985399785249715586775943274093618048323752824869527832627679742747964604416 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 639999999999999960223961368394494378528336102040939510640464202190518949684713601595427518056987558998335986958012296322036817340101535574888313549248992896792657920 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

Outputs
(if (<=.f64 t #s(literal 7516313894619283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (if (<=.f64 t #s(literal 3324120595798525/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))) (if (<=.f64 t #s(literal 960000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (-.f64 (-.f64 (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x))) (neg.f64 x))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 7516313894619283/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (if (<=.f64 t #s(literal 3324120595798525/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))))) (if (<=.f64 t #s(literal 960000000000000 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 t t) x) (/.f64 (.f64 l l) x)) (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) #s(literal -2 binary64)))) x)))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 8565101879914997/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (if (<=.f64 t #s(literal 7724623098808001/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (.f64 t x) (sqrt.f64 #s(literal 2 binary64))))))) (if (<=.f64 t #s(literal 400000000000000 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (/.f64 (.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 t #s(literal 8565101879914997/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 l (sqrt.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))) (if (<=.f64 t #s(literal 7724623098808001/63316582777114760719488645381029680648993625369910231018000142359781689627272157995600998671678219517337003885060131670873949448782528309751691815706084650986651333670066978816 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (.f64 l l) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 t x)))))) (if (<=.f64 t #s(literal 400000000000000 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l)) x) (fma.f64 #s(literal 2 binary64) (+.f64 (.f64 t t) (/.f64 (.f64 t t) x)) (/.f64 (.f64 l l) x))))) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))))
(if (<=.f64 l #s(literal 10500000000000000146591995081116184631419405001159738118086240339420816138209014190270147855982450890614812170283833853449110901566136279260193168065167328123289600 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))) (.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 10500000000000000146591995081116184631419405001159738118086240339420816138209014190270147855982450890614812170283833853449110901566136279260193168065167328123289600 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 11500000000000000084441934719232582097869930160598706103461965655343501997091379192763003352946493951549712149905728066452293428660044928595956157985868879524528128 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 11500000000000000084441934719232582097869930160598706103461965655343501997091379192763003352946493951549712149905728066452293428660044928595956157985868879524528128 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 35000000000000002569805683814382103025796169865976664226019562908050154366801353717814985399785249715586775943274093618048323752824869527832627679742747964604416 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 639999999999999960223961368394494378528336102040939510640464202190518949684713601595427518056987558998335986958012296322036817340101535574888313549248992896792657920 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(if (<=.f64 l #s(literal 639999999999999960223961368394494378528336102040939510640464202190518949684713601595427518056987558998335986958012296322036817340101535574888313549248992896792657920 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 t (/.f64 (sqrt.f64 x) l)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.0s (7.3%)

Memory

18.5MiB live, 887.1MiB allocated

Rules

12 908×	`lower-fma.f64`
12 908×	`lower-fma.f32`
10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	198
0	52	197
1	203	160
2	1631	157
0	8866	157
0	39	282
0	74	278
1	311	257
2	2300	253
0	8446	251
0	495	4975
1	1504	4422
2	5239	4294
0	8333	4154
0	567	4194
1	1812	3551
2	5971	3518
0	8135	3401
0	1406	21362
1	4705	20395
0	9177	19193
0	676	10349
1	2332	9162
0	8701	8754

Stop Event

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

Compiler

Compiled 831 to 446 computations (46.3% saved)

preprocess161.0ms (1.1%)

Memory: -15.9MiB live, 220.8MiB allocated
Compiler: Compiled 1 664 to 624 computations (62.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze384.0ms (2.7%)

sample3.1s (21.9%)

preprocess701.0ms (4.9%)

explain332.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify620.0ms (4.3%)

localize63.0ms (0.4%)

series58.0ms (0.4%)

rewrite619.0ms (4.3%)

simplify607.0ms (4.2%)

eval85.0ms (0.6%)

prune93.0ms (0.7%)

simplify344.0ms (2.4%)

localize317.0ms (2.2%)

series105.0ms (0.7%)

rewrite430.0ms (3%)

simplify444.0ms (3.1%)

eval251.0ms (1.8%)

prune210.0ms (1.5%)

simplify237.0ms (1.7%)

localize104.0ms (0.7%)

series66.0ms (0.5%)

rewrite385.0ms (2.7%)

simplify383.0ms (2.7%)

eval436.0ms (3%)

prune223.0ms (1.6%)

simplify297.0ms (2.1%)

localize101.0ms (0.7%)

series27.0ms (0.2%)

rewrite308.0ms (2.2%)

simplify435.0ms (3%)

eval216.0ms (1.5%)

prune309.0ms (2.2%)

regimes123.0ms (0.9%)

regimes24.0ms (0.2%)

regimes59.0ms (0.4%)

regimes35.0ms (0.2%)

regimes7.0ms (0%)

regimes31.0ms (0.2%)

regimes26.0ms (0.2%)

regimes9.0ms (0.1%)

bsearch97.0ms (0.7%)

bsearch93.0ms (0.7%)

bsearch68.0ms (0.5%)

bsearch47.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch34.0ms (0.2%)

simplify81.0ms (0.6%)

soundness1.0s (7.3%)

preprocess161.0ms (1.1%)

end0.0ms (0%)

Profiling