Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze285.0ms (2.5%)

Memory

-27.0MiB live, 326.7MiB 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)

sample3.2s (27.8%)

Memory

73.3MiB live, 2 828.7MiB allocated

Samples

861.0ms	5 393×	0	valid
703.0ms	2 684×	1	valid
425.0ms	2 852×	0	invalid
350.0ms	1 607×	1	invalid
78.0ms	179×	2	valid
25.0ms	100×	2	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 511.0ms (27.6% of total)

ival-sqrt: 375.0ms (20.2% of total)

ival-add: 337.0ms (18.2% of total)

ival-div: 253.0ms (13.6% of total)

ival-sub: 212.0ms (11.4% of total)

adjust: 139.0ms (7.5% of total)

exact: 12.0ms (0.6% of total)

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

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

Bogosity

explain520.0ms (4.5%)

Memory

11.6MiB live, 332.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
113	-	0	-	`(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)))`
93	-	1	(-2643908200806.3325 -1.6494510202138831e+77 -2.720795423162017e+76)	`(-.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	91	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	91
↳	`(.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	106
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	75
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	106
↳	`(*.f64 t t)`	overflow	75
↳	`(*.f64 l l)`	overflow	90
`-.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	47	0
`-.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	45	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	106
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	overflow	75
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	overflow	106
↳	`(*.f64 t t)`	overflow	75
↳	`(*.f64 l l)`	overflow	45
↳	`(*.f64 l l)`	overflow	45
`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	22	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	22
↳	`(.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	17
↳	`(.f64 #s(literal 2 binary64) (.f64 t t))`	underflow	55
↳	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`	underflow	17
↳	`(*.f64 t t)`	underflow	55
↳	`(*.f64 l l)`	underflow	162

Confusion

	Predicted +	Predicted -
+	175	1
-	0	80

Precision

1.0

Recall

0.9943181818181818

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	0	1
-	0	0	80

Precision?

1.0

Recall?

0.9943181818181818

Freqs

test

number	freq
0	81
1	145
2	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

40.0ms	330×	0	valid
35.0ms	170×	1	valid
7.0ms	12×	2	valid

Compiler

Compiled 293 to 58 computations (80.2% saved)

Precisions

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

ival-mult: 14.0ms (26.9% of total)

ival-sub: 9.0ms (17.3% of total)

ival-div: 8.0ms (15.4% of total)

ival-sqrt: 8.0ms (15.4% of total)

adjust: 6.0ms (11.5% of total)

ival-add: 6.0ms (11.5% of total)

exact: 1.0ms (1.9% of total)

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

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

preprocess233.0ms (2%)

Memory

-39.4MiB live, 283.4MiB 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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 27 to 18 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.7%	(/.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

▶

33.7%

(/.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 27 to 18 computations (33.3% saved)

simplify187.0ms (1.6%)

Memory

34.4MiB live, 268.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

localize57.0ms (0.5%)

Memory

-12.1MiB live, 114.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(/.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	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	20.30470015731614	(-.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	26.310266068542585	(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	85×	1	valid
21.0ms	165×	0	valid
2.0ms	6×	2	valid

Compiler

Compiled 133 to 20 computations (85% saved)

Precisions

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

ival-mult: 7.0ms (26.4% of total)

ival-add: 6.0ms (22.6% of total)

ival-div: 4.0ms (15.1% of total)

ival-sqrt: 4.0ms (15.1% of total)

ival-sub: 3.0ms (11.3% of total)

adjust: 3.0ms (11.3% of total)

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

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

exact: 0.0ms (0% of total)

series119.0ms (1%)

Memory

-24.5MiB live, 216.1MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())
#s(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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(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))) (patch (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))) #<representation binary64>) () ())
#s(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)) (patch (-.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)) #<representation binary64>) () ())

Outputs
#s(alt (pow l 2) (taylor 0 t) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow t 2)) (pow l 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow t 2)) (pow l 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow t 2)) (pow l 2)) (taylor 0 t) (#s(alt (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) (patch (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))) #<representation binary64>) () ())) ())
#s(alt (* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (taylor 0 t) (#s(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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) (taylor -inf l) (#s(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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) (taylor -inf l) (#s(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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) (taylor -inf l) (#s(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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (taylor -inf l) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) (taylor -inf l) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) (taylor -inf l) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) (taylor -inf l) (#s(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))) (patch (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))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (taylor -inf l) (#s(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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) (taylor -inf l) (#s(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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) (taylor -inf l) (#s(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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) (taylor -inf l) (#s(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)) (patch (-.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)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
64.0ms	x	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
8.0ms	l	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
8.0ms	l	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
7.0ms	t	@	0	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms	t	@	inf	((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))

simplify191.0ms (1.7%)

Memory

11.5MiB live, 280.2MiB 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	8700	8754

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(pow l 2)
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 2))
(+ (* 2 (pow t 2)) (pow l 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)))))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5))))))))))
(- (/ (* (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))
(* (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))))
(* (* (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)))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* 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))
(* (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))))
(* -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)))))))
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(* t (sqrt 2))
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(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))
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(* t (sqrt 2))
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(* 2 (pow t 2))
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(* t (sqrt 2))
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(* 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))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(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)))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(* (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)
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(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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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))

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

rewrite268.0ms (2.3%)

Memory

-9.2MiB live, 329.8MiB allocated

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 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l))))
(.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))))))
(.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))
(.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) (pow.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))))) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))))) (+.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (fma.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 (neg.f64 l) l))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))))
(/.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 l #s(literal 4 binary64)))) (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 (neg.f64 l) l)))
(/.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))
(/.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 (neg.f64 l) l)) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 l #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 t #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) t) (.f64 t #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 (.f64 #s(literal 1 binary64) l) l (.f64 (*.f64 t t) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)) (.f64 (.f64 t t) #s(literal 2 binary64)))
(fma.f64 (.f64 t #s(literal 2 binary64)) (.f64 t #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 l l))
(fma.f64 (pow.f64 l #s(literal 4 binary64)) (pow.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 #s(literal 1 binary64) (.f64 l l) (.f64 (*.f64 t t) #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 l l))
(fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))
(fma.f64 t (.f64 (.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 t (.f64 t #s(literal 2 binary64)) (.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 t t) #s(literal 1 binary64)) (*.f64 l l))
(fma.f64 #s(literal 2 binary64) (.f64 t t) (.f64 l l))
(fma.f64 (.f64 l l) #s(literal 1 binary64) (.f64 (*.f64 t t) #s(literal 2 binary64)))
(fma.f64 l (.f64 l #s(literal 1 binary64)) (.f64 (*.f64 t t) #s(literal 2 binary64)))
(fma.f64 l l (.f64 (.f64 t t) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 t #s(literal 2 binary64)) t (.f64 (neg.f64 l) l))) (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l))))
(-.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t)))))
(+.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))) (neg.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))))))
(+.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 l l))
(+.f64 (.f64 l l) (.f64 (*.f64 t t) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) t)
(.f64 (.f64 (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(.f64 (.f64 #s(literal 1 binary64) t) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 t) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
(.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 1/4 binary64))))
(.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 1/4 binary64))) (/.f64 t (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1/4 binary64))))
(.f64 (/.f64 t (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 t (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))
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(+.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l))) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (*.f64 t t) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 l l))) (neg.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (*.f64 l l)))))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 3 binary64)) (fma.f64 (.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 l l)) (pow.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 l l)) (pow.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64))))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (.f64 l l)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 l l) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 l l)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))
(+.f64 (.f64 (neg.f64 l) l) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 (neg.f64 l) l))

eval115.0ms (1%)

Memory: 3.8MiB live, 202.6MiB allocated
Compiler: Compiled 27 934 to 2 433 computations (91.3% saved)

prune68.0ms (0.6%)

Memory

21.4MiB live, 99.0MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	535	26	561
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	536	26	562

Accuracy

90.1%

Counts

562 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
	23.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (*.f64 (neg.f64 l) l))))
▶	27.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
	27.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) t) (.f64 t #s(literal 2 binary64))) (fma.f64 (/.f64 (.f64 l l) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))))
	10.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
	33.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
	38.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))))
▶	3.3%	(/.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))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
	53.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	4.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (-.f64 (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) l) l) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
	3.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.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 l l)))))
	39.6%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.f64 (.f64 t t) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
▶	50.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
▶	74.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (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)))) l)))
	73.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	38.6%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) t))
	38.6%	(.f64 (/.f64 t (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))) (sqrt.f64 #s(literal 2 binary64)))
	38.6%	(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
	38.6%	(.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 t (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))
	38.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	4.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #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))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
▶	72.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 1 344 to 930 computations (30.8% saved)

simplify126.0ms (1.1%)

Memory

-9.5MiB live, 185.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
cost-diff	256	(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
cost-diff	0	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
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 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))))
cost-diff	0	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l)))
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))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))

Rules

10 596×	`lower-fma.f32`
10 590×	`lower-fma.f64`
4 882×	`lower-*.f32`
4 864×	`lower-*.f64`
2 534×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	603
0	89	593
1	172	590
2	342	584
3	780	584
4	2992	584
5	6780	584
0	8294	581

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (1.7%)

Memory

4.5MiB live, 367.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	5.690029886819614	(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy	16.527070604279682	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy	21.60539135963211	(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
accuracy	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	10.121932652207574	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
accuracy	26.310266068542585	(sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
accuracy	26.593389786909935	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
accuracy	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	20.30470015731614	(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))
accuracy	26.310266068542585	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l)))
accuracy	34.01649816405879	#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	1.0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	17.049382224465777	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0.01171875	(.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy	0.1015625	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
accuracy	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	16.317244157946917	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Samples

53.0ms	85×	1	valid
52.0ms	165×	0	valid
5.0ms	6×	2	valid

Compiler

Compiled 516 to 43 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 21.0ms (29.8% of total)

ival-div: 15.0ms (21.3% of total)

ival-add: 13.0ms (18.4% of total)

ival-sqrt: 10.0ms (14.2% of total)

ival-sub: 5.0ms (7.1% of total)

adjust: 5.0ms (7.1% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series120.0ms (1%)

Memory

-15.6MiB live, 260.8MiB allocated

Counts

20 → 552

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 1/2 binary64)) (patch (sqrt.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(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))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l)))) (patch (/.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))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))) (patch (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))) (patch (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (patch (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l)) (patch #s(approx (+ ( l l) (* 2 (* t t))) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l)) (patch (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)) (patch (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (pow l 2) (- x 1)) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1)))) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1)))) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1)))) (taylor -inf l) (#s(alt (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow l 2) t)) (taylor -inf l) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (patch (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t)))) (taylor -inf l) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (patch (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t)))) (taylor -inf l) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (patch (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t)))) (taylor -inf l) (#s(alt (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (patch (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (taylor -inf l) (#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) (taylor -inf l) (#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) (taylor -inf l) (#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) (taylor -inf l) (#s(alt #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
12.0ms	x	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
10.0ms	x	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
10.0ms	t	@	0	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
8.0ms	t	@	inf	((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

simplify403.0ms (3.5%)

Memory

3.3MiB live, 403.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 196×	`lower-*.f64`
7 196×	`lower-*.f32`
6 572×	`lower-fma.f64`
6 572×	`lower-fma.f32`
4 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1255	47959
1	4510	46655
0	9133	43628

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(* (* 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)))))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5))))))))))
(* (* 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)))))))))))
(* (* 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)))))))
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(pow l 2)
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(/ (pow l 2) (- x 1))
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(* 2 (/ (pow l 2) t))
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(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(/ (pow l 2) (* t (* x (sqrt 2))))
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(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) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
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(* (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 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) (- x 1))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(* 2 (/ (pow l 2) t))
(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))

Outputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* 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)))))))
(.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 t t)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) t)
(* 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)))))))))))
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(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(* t (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))
(sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 t t)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (.f64 t t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (.f64 t t)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 5 binary64)))))) (.f64 t t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (.f64 t t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64))))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* 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)))))))
(.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 t t)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) t)
(* 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)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64))))) (.f64 (neg.f64 (/.f64 (fma.f64 x (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)))))) (.f64 t t) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) t)
(* 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)))))))))))
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(* 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 x) (- x 1))))
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(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(* t (sqrt 2))
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(* t (sqrt 2))
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(* t (sqrt 2))
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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
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(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
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(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
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(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))))
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(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))))))))
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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
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(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
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(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))))))
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(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))))))))
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)
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(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)
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(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
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(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l))
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(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(.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 l l))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 (.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l))
(/ (pow l 2) (- x 1))
(/.f64 (*.f64 l l) (-.f64 x #s(literal 1 binary64)))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 t t) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 l l))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 t t) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 l l))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 t t) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (.f64 l l))
(* 2 (/ (pow l 2) t))
(.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))
(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
(.f64 (fma.f64 (/.f64 t (.f64 l l)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) t)) (*.f64 l l))
(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
(.f64 (fma.f64 (/.f64 t (.f64 l l)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) t)) (*.f64 l l))
(* (pow l 2) (+ (* 4 (/ t (pow l 2))) (* 2 (/ 1 t))))
(.f64 (fma.f64 (/.f64 t (.f64 l l)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) t)) (*.f64 l l))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (neg.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)))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(.f64 (neg.f64 l) (fma.f64 (/.f64 (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 l 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))))) (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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(.f64 (neg.f64 l) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l 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))))))) (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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(.f64 (neg.f64 l) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l 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)))))))) (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))))))

rewrite231.0ms (2%)

Memory

38.0MiB live, 230.2MiB allocated

Rules

4 324×	`lower-/.f32`
4 308×	`lower-/.f64`
3 836×	`lower-*.f32`
3 820×	`lower-*.f64`
2 898×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	442
0	89	425
1	348	419
2	2766	416
0	8213	413

Stop Event

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

Counts

20 → 383

Calls

Call 1

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

Outputs
(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64)))
(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(.f64 t (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))))
(/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(/.f64 (neg.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))))
(/.f64 (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
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(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 (neg.f64 l) l)))
(/.f64 (.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))))
(/.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 (neg.f64 l) l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (neg.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 l l (.f64 #s(literal -2 binary64) (*.f64 t t))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 (neg.f64 l) l))))
(/.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 l l (.f64 #s(literal -2 binary64) (.f64 t t)))))
(/.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (pow.f64 (.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) t) #s(literal 2 binary64))
(.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 t #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (pow.f64 (neg.f64 t) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) (pow.f64 t #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) t))
(.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal 2 binary64) (pow.f64 t #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) t))
(.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) t))
(pow.f64 (/.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) (neg.f64 (neg.f64 t)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)) #s(literal 1 binary64)) t)
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (neg.f64 t))
(/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) t)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t))
(neg.f64 (/.f64 (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (neg.f64 t)))
(exp.f64 (.f64 (log.f64 (/.f64 t (.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) x) (sqrt.f64 #s(literal 2 binary64)))))

eval403.0ms (3.5%)

Memory: -9.6MiB live, 303.6MiB allocated
Compiler: Compiled 64 976 to 2 839 computations (95.6% saved)

prune111.0ms (1%)

Memory

-0.9MiB live, 124.1MiB allocated

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1 039	15	1 054
Fresh	15	6	21
Picked	2	3	5
Done	0	0	0
Total	1 056	24	1 080

Accuracy

91.5%

Counts

1 080 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l))))
	10.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
✓	3.3%	(/.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))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
	53.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	9.2%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (.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 l l)))))
	36.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))))
✓	74.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	4.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (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)))) l)))
	11.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (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)))) l)))
▶	74.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
▶	78.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
	7.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))))))
	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))
	27.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64))) t))
	74.2%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
▶	27.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))))
	3.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))))
	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
▶	4.2%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #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))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	11.0%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (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) l)))
✓	72.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
	36.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Compiler

Compiled 1 021 to 728 computations (28.7% saved)

simplify169.0ms (1.5%)

Memory

12.9MiB live, 167.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 #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)))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 #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))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #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))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
cost-diff	896	(+.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)))
cost-diff	0	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
cost-diff	0	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))))
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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
cost-diff	128	(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
cost-diff	192	(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))

Rules

11 314×	`lower-fma.f32`
11 306×	`lower-fma.f64`
4 986×	`lower-*.f32`
4 968×	`lower-*.f64`
2 536×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	706
0	107	700
1	206	694
2	424	668
3	928	668
4	3112	668
5	6958	668
0	8015	656

Stop Event

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

Calls

Call 1

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

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

localize379.0ms (3.3%)

Memory

-24.7MiB live, 535.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.30078125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	1.9905916140763504	(.f64 (sqrt.f64 (/.f64 #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))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
accuracy	21.225087529320476	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #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))))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
accuracy	35.14927749437892	(+.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)))
accuracy	0.693290734990262	(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
accuracy	5.184464098706458	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
accuracy	13.910103977667855	(sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
accuracy	19.898941361664658	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
accuracy	0.09375	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
accuracy	0.2890625	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
accuracy	0.30078125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	16.253398168405525	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
accuracy	16.86551616029944	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy	0.2890625	(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
accuracy	0.30078125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	1.5334279612767525	(/.f64 l (*.f64 t x))
accuracy	16.49073663476803	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))

Samples

104.0ms	60×	2	valid
95.0ms	85×	1	valid
79.0ms	63×	1	invalid
35.0ms	32×	2	invalid
4.0ms	11×	0	valid
2.0ms	5×	0	invalid

Compiler

Compiled 551 to 60 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-div: 125.0ms (51.6% of total)

ival-mult: 41.0ms (16.9% of total)

adjust: 26.0ms (10.7% of total)

ival-sqrt: 21.0ms (8.7% of total)

ival-add: 18.0ms (7.4% of total)

ival-sub: 10.0ms (4.1% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

exact: 0.0ms (0% of total)

series129.0ms (1.1%)

Memory

-0.3MiB live, 237.4MiB allocated

Counts

21 → 588

Calls

Call 1

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

Outputs
#s(alt (/ (pow l 2) (* t (* x (sqrt 2)))) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (patch (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 l (.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	l	@	inf	((+ (* (/ 2 x) (/ t (sqrt 2))) (+ (* (/ l (* t x)) (/ l (sqrt 2))) (* (sqrt 2) t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (/ l (sqrt 2)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
9.0ms	x	@	-inf	((+ (* (/ 2 x) (/ t (sqrt 2))) (+ (* (/ l (* t x)) (/ l (sqrt 2))) (* (sqrt 2) t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (/ l (sqrt 2)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
8.0ms	t	@	-inf	((+ (* (/ 2 x) (/ t (sqrt 2))) (+ (* (/ l (* t x)) (/ l (sqrt 2))) (* (sqrt 2) t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (/ l (sqrt 2)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
7.0ms	x	@	inf	((+ (* (/ 2 x) (/ t (sqrt 2))) (+ (* (/ l (* t x)) (/ l (sqrt 2))) (* (sqrt 2) t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (/ l (sqrt 2)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
7.0ms	t	@	0	((+ (* (/ 2 x) (/ t (sqrt 2))) (+ (* (/ l (* t x)) (/ l (sqrt 2))) (* (sqrt 2) t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (/ l (sqrt 2)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))

simplify350.0ms (3%)

Memory

30.7MiB live, 584.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 844×	`lower-*.f64`
6 844×	`lower-*.f32`
5 904×	`lower-fma.f64`
5 904×	`lower-fma.f32`
4 256×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1627	52424
1	5722	51222
0	8892	47936

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

Inputs
(/ (pow l 2) (* t (* x (sqrt 2))))
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(* (* 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)))))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 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)))))))))))
(* (* 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)))))))))))
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 4) (pow (- x 1) 3)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (* (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (- x 1)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))))))))
(* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))))
(+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))))))
(+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 4) (pow (- x 1) 3)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (* (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (- x 1)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))))))))
(/ 2 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))
(+ (* -4 (/ (* (pow t 2) (+ 1 x)) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (- x 1)))) (* 2 (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* (pow t 2) (- (* 8 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (* 4 (/ (+ 1 x) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (- x 1)))))) (* 2 (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* (pow t 2) (- (* (pow t 2) (- (* -16 (/ (* (pow t 2) (pow (+ 1 x) 3)) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 4) (pow (- x 1) 3)))) (* -8 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))))) (* 4 (/ (+ 1 x) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (- x 1)))))) (* 2 (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))
(+ (* -1 (pow l 2)) (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))))
(+ (* -1 (pow l 2)) (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))))
(+ (* -1 (pow l 2)) (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))))
(* (* 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)))))))))
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(/ l (* t x))
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Outputs
(/ (pow l 2) (* t (* x (sqrt 2))))
(/.f64 (/.f64 (.f64 l l) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
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(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
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(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
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(* -1 (* (/ (* (sqrt 1/2) (sqrt 2)) t) (sqrt (/ (- x 1) (+ 1 x)))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
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(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l))
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(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.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))) #s(literal 3 binary64))))) (pow.f64 l #s(literal 4 binary64)))) (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 (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 (sqrt.f64 #s(literal 2 binary64)) t)))) (neg.f64 l))
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64))))) (/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l l))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.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))) #s(literal 3 binary64))))) (pow.f64 l #s(literal 4 binary64)))) (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)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.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))) #s(literal 4 binary64))) #s(literal 8 binary64) (/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 #s(literal -3 binary64) (/.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.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))) #s(literal 3 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 x #s(literal 1 binary64)))))) (pow.f64 l #s(literal 6 binary64)))) (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 (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 (sqrt.f64 #s(literal 2 binary64)) t))))) (neg.f64 l))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (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) l))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (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) l))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (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) l))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(.f64 (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) l))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (neg.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)))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(.f64 (neg.f64 l) (fma.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 l 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))))) (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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(.f64 (neg.f64 l) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l 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))))))) (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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(.f64 (neg.f64 l) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l 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)))))))) (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))))))
(/ l (* t x))
(/.f64 l (*.f64 x t))
(/ l (* t x))
(/.f64 l (*.f64 x t))
(/ l (* t x))
(/.f64 l (*.f64 x t))
(/ l (* t x))
(/.f64 l (*.f64 x t))
(/ l (sqrt 2))
(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
(/ l (sqrt 2))
(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
(/ l (sqrt 2))
(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
(/ l (sqrt 2))
(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (neg.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)))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(.f64 (neg.f64 l) (fma.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 l 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))))) (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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(.f64 (neg.f64 l) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l 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))))))) (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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(.f64 (neg.f64 l) (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l 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)))))))) (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))))))
(/ (pow l 2) (- x 1))
(/.f64 (*.f64 l l) (-.f64 x #s(literal 1 binary64)))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l l))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l l))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (fma.f64 (/.f64 (.f64 t t) (.f64 (-.f64 x #s(literal 1 binary64)) (.f64 l l))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))

rewrite266.0ms (2.3%)

Memory

-3.8MiB live, 273.2MiB allocated

Rules

4 304×	`lower-*.f32`
4 286×	`lower-*.f64`
3 774×	`lower-fma.f32`
3 766×	`lower-fma.f64`
3 504×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	512
0	107	506
1	456	479
2	4281	479
0	8589	473

Stop Event

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

Counts

21 → 440

Calls

Call 1

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

Outputs
(.f64 (-.f64 (/.f64 (pow.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) (/.f64 (pow.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (-.f64 (/.f64 (pow.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) (/.f64 (pow.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) (/.f64 (pow.f64 (*.f64 t (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))))) (.f64 x (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 x (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))))) (.f64 x (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (*.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 t (/.f64 #s(literal 2 binary64) x)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (*.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (*.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))) x (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) x))
(/.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (.f64 t (/.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (.f64 t #s(literal 2 binary64)))) (.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))) x (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (*.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 t (/.f64 #s(literal 2 binary64) x)))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (*.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 t #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (.f64 (/.f64 l (.f64 t x)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
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(/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)))

eval224.0ms (2%)

Memory: -4.3MiB live, 385.9MiB allocated
Compiler: Compiled 69 118 to 4 117 computations (94% saved)

prune57.0ms (0.5%)

Memory

6.1MiB live, 166.4MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 089	16	1 105
Fresh	9	7	16
Picked	3	2	5
Done	0	3	3
Total	1 101	28	1 129

Accuracy

99.4%

Counts

1 129 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.3%	(/.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))) #s(approx (+ (* l l) (* 2 (* t t))) (.f64 l l))) (.f64 l l))))
	53.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
✓	74.5%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
	11.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (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)))) l)))
	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (.f64 (sqrt.f64 #s(approx ( 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
▶	78.4%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x)))))))
▶	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))
▶	27.4%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64))) t))
	78.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) (sqrt.f64 #s(literal 2 binary64)))
	74.2%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
✓	27.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))))
	25.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (/ (+ ( (* t t) 2) (* l l)) (- x 1)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))))
	3.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (/ (+ ( (* t t) 2) (* l l)) (- x 1)) (/.f64 (.f64 l l) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))))
	3.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))))
	36.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	9.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (.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 l l))))))
	6.0%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (fma.f64 (/.f64 (.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) x) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))))
▶	26.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))))
▶	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	24.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	23.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
✓	72.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	24.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	23.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	26.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
	18.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l))) x)))
✓	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 1 188 to 837 computations (29.5% saved)

simplify141.0ms (1.2%)

Memory

22.3MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64)))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64))) t)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64))) t))
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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))
cost-diff	832	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x))
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))))
cost-diff	0	(.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	0	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
cost-diff	0	#s(approx (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))
cost-diff	0	(sqrt.f64 #s(approx (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)))))
cost-diff	0	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))))
cost-diff	128	(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))
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) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x)))))))
cost-diff	192	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x)))

Rules

10 812×	`lower-fma.f32`
10 802×	`lower-fma.f64`
5 790×	`lower-*.f32`
5 768×	`lower-*.f64`
2 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	806
0	124	801
1	230	787
2	478	779
3	1018	774
4	3610	774
5	6590	774
0	8150	766

Stop Event

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

Calls

Call 1

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

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

localize305.0ms (2.7%)

Memory

-30.6MiB live, 314.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.19998746746766616	(/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64))
accuracy	10.121932652207574	(/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64)))
accuracy	26.02927598776873	(sqrt.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)) #s(literal 2 binary64)))
accuracy	26.593389786909935	(fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))
accuracy	0.46875	(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x))
accuracy	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	0.5833188854281127	#s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))
accuracy	16.317244157946917	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x))))
accuracy	0	(sqrt.f64 #s(literal 1/2 binary64))
accuracy	0.01171875	(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
accuracy	1.0	(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	16.298472500727694	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
accuracy	7.905460014604727	(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))
accuracy	10.0674262782336	(/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)))
accuracy	14.934509442138165	#s(approx (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))
accuracy	25.32044290006703	(sqrt.f64 #s(approx (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)))))
accuracy	0.46875	(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy	1.0	(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
accuracy	4.696446136482125	(/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))
accuracy	16.527070604279682	#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))))))

Samples

131.0ms	165×	0	valid
77.0ms	85×	1	valid
20.0ms	6×	2	valid

Compiler

Compiled 600 to 64 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 84.0ms (45.4% of total)

ival-mult: 62.0ms (33.5% of total)

ival-sqrt: 14.0ms (7.6% of total)

ival-add: 11.0ms (6% of total)

adjust: 8.0ms (4.3% of total)

ival-sub: 5.0ms (2.7% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series191.0ms (1.7%)

Memory

8.6MiB live, 237.9MiB allocated

Counts

28 → 708

Calls

Call 1

Inputs
#s(alt (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) (patch (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))))))) (patch (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x))))))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (patch (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) #<representation binary64>) () ())
#s(alt (.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)))))) (patch (.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))) (patch (sqrt.f64 #s(approx (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))) #<representation binary64>) () ())
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Outputs
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#s(alt (* (pow t 2) (+ 1 x)) (taylor 0 t) (#s(alt (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (patch (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) #<representation binary64>) () ())) ())
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#s(alt (* (pow t 2) (+ 1 x)) (taylor 0 t) (#s(alt (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) (patch (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t)) #<representation binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
27.0ms	x	@	-inf	((+ (* (sqrt 2) t) (* (/ 2 (sqrt 2)) (/ t x))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (- x -1) (* t t)) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (+ (* (sqrt 2) t) (/ (* (sqrt 2) t) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ 1 (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t)) (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t) (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* (* (sqrt 2) x) t)) (/ 2 (sqrt 2)) (/ (- x 1) (* (- x -1) (* t t))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
27.0ms	t	@	inf	((+ (* (sqrt 2) t) (* (/ 2 (sqrt 2)) (/ t x))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (- x -1) (* t t)) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (+ (* (sqrt 2) t) (/ (* (sqrt 2) t) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ 1 (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t)) (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t) (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* (* (sqrt 2) x) t)) (/ 2 (sqrt 2)) (/ (- x 1) (* (- x -1) (* t t))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
20.0ms	x	@	inf	((+ (* (sqrt 2) t) (* (/ 2 (sqrt 2)) (/ t x))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (- x -1) (* t t)) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (+ (* (sqrt 2) t) (/ (* (sqrt 2) t) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ 1 (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t)) (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t) (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* (* (sqrt 2) x) t)) (/ 2 (sqrt 2)) (/ (- x 1) (* (- x -1) (* t t))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
9.0ms	x	@	0	((+ (* (sqrt 2) t) (* (/ 2 (sqrt 2)) (/ t x))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (- x -1) (* t t)) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (+ (* (sqrt 2) t) (/ (* (sqrt 2) t) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ 1 (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t)) (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t) (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* (* (sqrt 2) x) t)) (/ 2 (sqrt 2)) (/ (- x 1) (* (- x -1) (* t t))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))
8.0ms	t	@	-inf	((+ (* (sqrt 2) t) (* (/ 2 (sqrt 2)) (/ t x))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (* (- x -1) (* t t)) (* t (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))))) (sqrt (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)))) (/ 2 (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (+ (* (sqrt 2) t) (/ (* (sqrt 2) t) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ 1 (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t)) (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t) (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* (* (sqrt 2) x) t)) (/ 2 (sqrt 2)) (/ (- x 1) (* (- x -1) (* t t))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (/ (+ (* (* t t) 2) (* l l)) (- x 1)))

simplify353.0ms (3.1%)

Memory

42.7MiB live, 581.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 318×	`lower-*.f64`
6 318×	`lower-*.f32`
3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
3 520×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2125	61339
1	6514	60004
0	8100	57137

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

Inputs
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 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)))))))))))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (pow t 2) (+ 1 x))
(* (pow t 2) (+ 1 x))
(* (pow t 2) (+ 1 x))
(* (pow t 2) (+ 1 x))
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))))))
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 4) (pow (- x 1) 3)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (* (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (- x 1)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))))))))
(* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))))
(+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))))))
(+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 4) (pow (- x 1) 3)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2))))) (* (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (- x 1)))))) (sqrt (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1)))))))))))
(/ 2 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))
(+ (* -4 (/ (* (pow t 2) (+ 1 x)) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (- x 1)))) (* 2 (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* (pow t 2) (- (* 8 (/ (* (pow t 2) (pow (+ 1 x) 2)) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))) (* 4 (/ (+ 1 x) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (- x 1)))))) (* 2 (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(+ (* (pow t 2) (- (* (pow t 2) (- (* -16 (/ (* (pow t 2) (pow (+ 1 x) 3)) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 4) (pow (- x 1) 3)))) (* -8 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 3) (pow (- x 1) 2)))))) (* 4 (/ (+ 1 x) (* (pow (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))) 2) (- x 1)))))) (* 2 (/ 1 (+ (* -1 (pow l 2)) (/ (* (pow l 2) (+ 1 x)) (- x 1))))))
(* (* 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)))))))))))
(* t (+ (sqrt 2) (/ (sqrt 2) x)))
(* t (+ (sqrt 2) (/ (sqrt 2) x)))
(* t (+ (sqrt 2) (/ (sqrt 2) x)))
(* t (+ (sqrt 2) (/ (sqrt 2) x)))
(* (* 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)))))))
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(pow t 2)
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(/ 2 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))
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(* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))
(+ (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) (/ (* (sqrt 1/2) (sqrt 2)) x))
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(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
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
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Outputs
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(* l (+ (* -1/2 (* (/ (* (pow t 3) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 5) (* (sqrt 1/2) (pow (+ 1 x) 3))) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (+ (* (/ (sqrt 1/2) t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* (* l (sqrt 1/2)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* l (+ (* (sqrt 1/2) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* (pow t 2) (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (* -1/2 (* (/ (* (pow t 4) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* (sqrt 1/2) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* (pow t 2) (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (* -1/2 (* (/ (* (pow t 4) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (* (sqrt 1/2) (pow (+ 1 x) 3))) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (+ (* (sqrt 1/2) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* (pow t 2) (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* 1/2 (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* (pow l 2) (+ (* 1/2 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))))
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(* (pow l 2) (+ (* 1/2 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))))
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(* (pow l 2) (+ (* 1/2 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))))
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
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(* -1 (* (/ t (* l (sqrt 1/2))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (+ 1 x)) (* (pow l 2) (* (sqrt 1/2) (- x 1)))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (pow l 4) (sqrt 1/2))) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) (* (pow l 6) (sqrt 1/2))) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (/ t (sqrt 1/2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
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(* -1 (* (/ (* l (sqrt 1/2)) t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* -1 (* l (+ (* (/ (sqrt 1/2) t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(neg.f64 (.f64 l (fma.f64 (.f64 (/.f64 t (.f64 l l)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 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))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (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))))))))
(* -1 (* l (+ (* -1/2 (* (/ (* (pow t 3) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* (/ (sqrt 1/2) t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(neg.f64 (.f64 l (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 t (.f64 l l)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 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))))) (.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (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)))))))))
(* -1 (* l (+ (* -1/2 (* (/ (* (pow t 3) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 5) (* (sqrt 1/2) (pow (+ 1 x) 3))) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (+ (* (/ (sqrt 1/2) t) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* t (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(neg.f64 (.f64 l (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 t (.f64 l l)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 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))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (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))))))))))
(* -1 (* (* l (sqrt 1/2)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(neg.f64 (.f64 (.f64 l (sqrt.f64 #s(literal 1/2 binary64))) (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))))))
(* -1 (* l (+ (* (sqrt 1/2) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* (pow t 2) (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(neg.f64 (.f64 l (fma.f64 (.f64 (/.f64 (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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))))))))
(* -1 (* l (+ (* -1/2 (* (/ (* (pow t 4) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* (sqrt 1/2) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* (pow t 2) (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(neg.f64 (.f64 l (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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)))))))))
(* -1 (* l (+ (* -1/2 (* (/ (* (pow t 4) (* (sqrt 1/2) (pow (+ 1 x) 2))) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (* (sqrt 1/2) (pow (+ 1 x) 3))) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (+ (* (sqrt 1/2) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (/ (* (pow t 2) (* (sqrt 1/2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(neg.f64 (.f64 l (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 t #s(literal 6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 (.f64 t t) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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))))))))))
(* 1/2 (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* (pow l 2) (+ (* 1/2 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))))
(.f64 (.f64 l l) (fma.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/2 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))))))
(* (pow l 2) (+ (* 1/2 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))))
(.f64 (.f64 l l) (fma.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/2 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))))))
(* (pow l 2) (+ (* 1/2 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))))
(.f64 (.f64 l l) (fma.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 #s(literal 1/2 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))))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(neg.f64 (*.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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(neg.f64 (.f64 l (fma.f64 (.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))) (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)))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(neg.f64 (.f64 l (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))))) (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)))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(neg.f64 (.f64 l (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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)))))))) (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)))))))
(/ l (* t (* x (sqrt 2))))
(/.f64 l (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/ l (* t (* x (sqrt 2))))
(/.f64 l (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/ l (* t (* x (sqrt 2))))
(/.f64 l (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/ l (* t (* x (sqrt 2))))
(/.f64 l (.f64 t (.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(neg.f64 (*.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))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
(neg.f64 (.f64 l (fma.f64 (.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))) (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)))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
(neg.f64 (.f64 l (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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))))))) (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)))))))
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
(neg.f64 (.f64 l (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.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))) #s(literal 5 binary64)))) (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 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)))))))) (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)))))))
(* (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) (- (+ (* 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 l l)) (/.f64 (.f64 (*.f64 t t) (-.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 (/.f64 x (-.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 l l)) (/.f64 (.f64 (*.f64 t t) (-.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 (/.f64 x (-.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 l l)) (/.f64 (.f64 (*.f64 t t) (-.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 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/ (pow l 2) (- x 1))
(/.f64 (*.f64 l l) (-.f64 x #s(literal 1 binary64)))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (.f64 l l) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 t t) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (.f64 l l) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 t t) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) (- x 1)))) (/ 1 (- x 1))))
(.f64 (.f64 l l) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) (/.f64 (.f64 t t) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))

rewrite308.0ms (2.7%)

Memory

-13.3MiB live, 214.6MiB allocated

Rules

4 092×	`lower-*.f32`
4 072×	`lower-*.f64`
3 222×	`lower-fma.f32`
3 214×	`lower-fma.f64`
3 168×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	639
0	124	624
1	476	602
2	3875	586
0	8270	584

Stop Event

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

Counts

28 → 615

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 t (/.f64 t x))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 x t) #s(literal -3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (-.f64 (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) x))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 t x) t))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 t (/.f64 t x)))
(pow.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 t (/.f64 t x))) (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (-.f64 (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) x))) (fma.f64 (pow.f64 (/.f64 x t) #s(literal -3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 t #s(literal 2 binary64)) t)) (-.f64 (.f64 (/.f64 t x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 t (/.f64 t x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x t) #s(literal -3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (-.f64 (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 t #s(literal 2 binary64)) t) x)))))
(/.f64 (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 t (/.f64 t x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x t) #s(literal -3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (/.f64 (.f64 (*.f64 t #s(literal 2 binary64)) t) x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x t) #s(literal -3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 t #s(literal 2 binary64)) t (-.f64 (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 t #s(literal 2 binary64)) t) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 t (/.f64 t x))) (-.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 t #s(literal 2 binary64)) t (-.f64 (.f64 (pow.f64 (/.f64 x t) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 t #s(literal 2 binary64)) t) x))) (fma.f64 (pow.f64 (/.f64 x t) #s(literal -3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
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eval298.0ms (2.6%)

Memory: 12.2MiB live, 403.1MiB allocated
Compiler: Compiled 83 421 to 5 850 computations (93% saved)

prune86.0ms (0.8%)

Memory

2.1MiB live, 164.5MiB allocated

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1 488	18	1 506
Fresh	4	14	18
Picked	4	1	5
Done	2	3	5
Total	1 498	36	1 534

Accuracy

99.4%

Counts

1 534 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
	52.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
	11.3%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (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)))) l)))
	77.9%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) #s(approx (+ (* (sqrt 2) t) (* (/ 2 (sqrt 2)) (/ t x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))))
	73.8%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 t x) t)))))
	26.5%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (/.f64 (.f64 (.f64 t t) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) t))
	43.8%	(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2) (.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (.f64 l l)) (/.f64 (-.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))) (neg.f64 (fma.f64 l l (.f64 #s(literal 2 binary64) (.f64 t t))))) x))))) t))
	72.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (/ (+ (* (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) 2)) t) (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))))
	78.3%	(.f64 (/.f64 t #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* x (sqrt 2))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l t) (/.f64 l (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 t x) t)))))) (sqrt.f64 #s(literal 2 binary64)))
	73.5%	(.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 t x) t))))))
✓	27.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (.f64 (neg.f64 l) l)))))
	25.8%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (/ (+ ( (* t t) 2) (* l l)) (- x 1)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))))
	3.3%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ ( l l) (* 2 (* t t))) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 l) l)))))
	36.6%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (fma.f64 (neg.f64 l) l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))
	9.2%	(.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l)) (.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 l l))))))
	6.0%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (fma.f64 (/.f64 (.f64 (neg.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l))))) x) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 l l (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)))))))))
	29.9%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 t t)) (-.f64 x #s(literal -1 binary64))))))
✓	26.1%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (.f64 t t))))))
	25.3%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (* (- x -1) (* t t)) (.f64 (.f64 t t) x))))))
	4.3%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) (/.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 (.f64 l l) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))))
	38.6%	(.f64 t (sqrt.f64 #s(approx (/ 2 (+ ( (/ (+ (* (* t t) 2) (* l l)) (- x 1)) (- x -1)) (* (neg l) l))) #s(approx (/ (- x 1) (* (- x -1) (* t t))) (/.f64 #s(literal 1 binary64) (*.f64 t t))))))
	35.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
	74.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	18.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.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)))))
	24.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	23.9%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	72.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
✓	72.3%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	72.7%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
	24.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	23.8%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
	74.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
	26.6%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
	18.5%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) l) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (.f64 (.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) l))) x)))
✓	73.4%	#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Compiler

Compiled 2 399 to 964 computations (59.8% saved)

regimes135.0ms (1.2%)

Memory

14.5MiB live, 204.5MiB allocated

Counts

76 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

26.0ms	(*.f64 l l)
23.0ms	t
22.0ms	l
21.0ms	x
20.0ms	(/.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
78.4%	1	`x`
83.1%	2	`l`
83.8%	3	`t`
85.3%	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))))`
78.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
83.1%	2	`(*.f64 l l)`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes20.0ms (0.2%)

Memory

1.1MiB live, 39.0MiB allocated

Counts

68 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

(/.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
85.0%	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))))`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes43.0ms (0.4%)

Memory

-7.6MiB live, 47.9MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

21.0ms

(/.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

Results

Accuracy	Segments	Branch
83.1%	2	`l`
81.8%	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 28 to 21 computations (25% saved)

regimes33.0ms (0.3%)

Memory

-16.0MiB live, 60.0MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

6 calls:

7.0ms	x
6.0ms	l
5.0ms	t
5.0ms	(*.f64 l l)
4.0ms	(/.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
74.5%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
74.5%	1	`x`
74.5%	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))))`
74.5%	1	`t`
74.5%	1	`(*.f64 l l)`
74.5%	1	`l`

Compiler

Compiled 40 to 38 computations (5% saved)

regimes9.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Accuracy

Total -0.7b remaining (-4.1%)

Threshold costs -0.7b (-4.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

6 calls:

1.0ms	l
1.0ms	x
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
73.4%	1	`l`
73.4%	1	`(*.f64 l l)`
73.4%	1	`t`
73.4%	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))))`
73.4%	1	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
73.4%	1	`x`

Compiler

Compiled 40 to 38 computations (5% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	0.0	8.472195575530566e-173

Compiler

Compiled 30 to 24 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.0000000000000002	1.0000000000073295

Compiler

Compiled 30 to 24 computations (20% saved)

bsearch36.0ms (0.3%)

Memory

-25.8MiB live, 51.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.0634763244649299e+124	2.934029019927661e+125

Samples

13.0ms	66×	1	valid
10.0ms	46×	0	valid
4.0ms	22×	1	invalid
0.0ms	2×	0	invalid

Compiler

Compiled 191 to 206 computations (-7.9% saved)

Precisions

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

ival-mult: 4.0ms (26% of total)

adjust: 3.0ms (19.5% of total)

ival-add: 2.0ms (13% of total)

ival-sub: 2.0ms (13% of total)

ival-div: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

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

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

exact: 0.0ms (0% of total)

simplify57.0ms (0.5%)

Memory

9.6MiB live, 84.4MiB allocated

Algorithm

1×	egg-herbie

Rules

378×	`distribute-lft-neg-in-binary64-*.f64-neg.f64`
192×	`neg-mul-1-binary64-*.f64-neg.f64`
188×	`neg-sub0-binary64--.f64-neg.f64`
160×	`sub-neg-binary64-neg.f64-+.f64--.f64`
152×	`cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	614
1	118	614
2	143	612
3	174	612
4	216	612
5	277	612
6	323	612
7	353	612
8	400	612
9	465	612
10	531	612
11	587	612
12	662	612
13	779	612
14	906	612
15	1016	612
16	1102	612
17	1138	612
18	1142	612

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.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)))) #s(literal 0 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (if (<=.f64 (/.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)))) #s(literal +inf.0 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))))
(if (<=.f64 (/.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)))) #s(literal 2251799813696507/2251799813685248 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (if (<=.f64 (/.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)))) #s(literal +inf.0 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)))))) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))))
(if (<=.f64 l #s(literal 289999999999999993242323399260468450830630371703860129021743844958582490519642195521055173924711157755617306602479803766407168 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

Outputs
(if (<=.f64 (/.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)))) #s(literal 0 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (if (<=.f64 (/.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)))) #s(literal +inf.0 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x))) (neg.f64 x)))))) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))))
(if (<=.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 l l)))) #s(literal 0 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 l l)))) #s(literal +inf.0 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (.f64 t #s(literal 2 binary64)) t (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 t t) x) #s(literal 2 binary64) (/.f64 (.f64 l l) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x))) x))))) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))) l)))))
(if (<=.f64 (/.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)))) #s(literal 2251799813696507/2251799813685248 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (if (<=.f64 (/.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)))) #s(literal +inf.0 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)))))) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))))
(if (<=.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 l l)))) #s(literal 2251799813696507/2251799813685248 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (if (<=.f64 (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (.f64 l l)))) #s(literal +inf.0 binary64)) (/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- ( (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 t t) x) (.f64 t t)) (+.f64 (/.f64 (.f64 l l) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) x)))))) #s(approx (/ ( (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))) l)))))
(if (<=.f64 l #s(literal 289999999999999993242323399260468450830630371703860129021743844958582490519642195521055173924711157755617306602479803766407168 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l))))
(if (<=.f64 l #s(literal 289999999999999993242323399260468450830630371703860129021743844958582490519642195521055173924711157755617306602479803766407168 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))) l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness925.0ms (8.1%)

Memory

13.9MiB live, 524.1MiB allocated

Rules

10 416×	`lower-fma.f64`
10 416×	`lower-fma.f32`
9 668×	`lower-*.f64`
9 668×	`lower-*.f32`
6 844×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1627	52424
1	5722	51222
0	8892	47936
0	55	442
0	89	425
1	348	419
2	2766	416
0	8213	413
0	80	639
0	124	624
1	476	602
2	3875	586
0	8270	584
0	676	10349
1	2332	9162
0	8700	8754

Stop Event

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

Compiler

Compiled 412 to 229 computations (44.4% saved)

preprocess140.0ms (1.2%)

Memory: -3.6MiB live, 157.6MiB allocated
Compiler: Compiled 1 144 to 364 computations (68.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze285.0ms (2.5%)

sample3.2s (27.8%)

explain520.0ms (4.5%)

preprocess233.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify187.0ms (1.6%)

localize57.0ms (0.5%)

series119.0ms (1%)

simplify191.0ms (1.7%)

rewrite268.0ms (2.3%)

eval115.0ms (1%)

prune68.0ms (0.6%)

simplify126.0ms (1.1%)

localize194.0ms (1.7%)

series120.0ms (1%)

simplify403.0ms (3.5%)

rewrite231.0ms (2%)

eval403.0ms (3.5%)

prune111.0ms (1%)

simplify169.0ms (1.5%)

localize379.0ms (3.3%)

series129.0ms (1.1%)

simplify350.0ms (3%)

rewrite266.0ms (2.3%)

eval224.0ms (2%)

prune57.0ms (0.5%)

simplify141.0ms (1.2%)

localize305.0ms (2.7%)

series191.0ms (1.7%)

simplify353.0ms (3.1%)

rewrite308.0ms (2.7%)

eval298.0ms (2.6%)

prune86.0ms (0.8%)

regimes135.0ms (1.2%)

regimes20.0ms (0.2%)

regimes43.0ms (0.4%)

regimes33.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch36.0ms (0.3%)

simplify57.0ms (0.5%)

soundness925.0ms (8.1%)

preprocess140.0ms (1.2%)

end0.0ms (0%)

Profiling